Metrics for Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2

analyze86.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.8s (14.4%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 811.0ms

ival-div: 421.0ms (51.9% of total)

ival-mult: 313.0ms (38.6% of total)

ival-add: 51.0ms (6.3% of total)

ival-true: 12.0ms (1.5% of total)

ival-assert: 9.0ms (1.1% of total)

const: 6.0ms (0.7% of total)

Bogosity

preprocess291.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1198×	`fma-define`
858×	`fmm-def`
547×	`unsub-neg`
417×	`distribute-lft-in`
379×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	485
1	140	429
2	374	429
3	1232	429
4	2997	429
5	5308	429
6	6628	429
7	6877	429
8	6988	429
9	7001	429
10	7502	429
11	7806	429

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain163.0ms (1.3%)

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	28	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	89
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	69
↳	`(*.f64 z z)`	overflow	69
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	4	0

Confusion

	Predicted +	Predicted -
+	32	0
-	0	224

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	32	0	0
-	0	0	224

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	224
1	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

91.0ms

512×

valid

Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 9.0ms (31.7% of total)

ival-add: 9.0ms (31.7% of total)

ival-mult: 8.0ms (28.2% of total)

ival-true: 1.0ms (3.5% of total)

ival-assert: 1.0ms (3.5% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 23 to 11 computations (52.2% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	90.1%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
▶	92.0%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))

Status

Accuracy

Program

▶

88.3%

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

▶

90.1%

(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))

▶

92.0%

(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))

Compiler

Compiled 40 to 25 computations (37.5% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

36×	`fma-define`
26×	`associate-r`
23×	`associate-/r*`
20×	`associate-l`
19×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	351
1	53	351
2	97	351
3	193	351
4	239	351
5	247	351

Stop Event

1×

saturated

Calls

Call 1

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

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

localize206.0ms (1.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	98.5%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	89.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
✓	accuracy	90.7%	(.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	99.2%	(.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓	accuracy	89.3%	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Results

180.0ms

256×

valid

Compiler

Compiled 96 to 18 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (44.6% of total)

ival-div: 6.0ms (26.7% of total)

ival-fma: 4.0ms (17.8% of total)

ival-add: 1.0ms (4.5% of total)

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

const: 0.0ms (0% of total)

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

series82.0ms (0.7%)

Counts

12 → 264

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
54.0ms	z	@	0	(/ 1 (* y (* x (+ (* z z) 1))))
2.0ms	x	@	-inf	(* x y)
2.0ms	y	@	0	(/ 1 (* y (* x (+ (* z z) 1))))
1.0ms	x	@	0	(/ 1 (* y (* x (+ (* z z) 1))))
1.0ms	y	@	-inf	(/ 1 (* y (* x (+ (* z z) 1))))

rewrite429.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`log1p-expm1-u`
844×	`expm1-log1p-u`
298×	`fma-define`
289×	`prod-diff`
130×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	294
1	365	294
2	4295	294

Stop Event

1×	node limit

Counts

12 → 524

Calls

Call 1

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

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

simplify394.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

355×	`cube-prod`
348×	`exp-prod`
270×	`associate-r`
260×	`times-frac`
242×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	635	28137
1	1420	27769
2	4758	27686

Stop Event

1×	node limit

Counts

788 → 436

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (pow.f64 z #s(literal 4 binary64)))))
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(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))
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(fma.f64 z z #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))

eval59.0ms (0.5%)

Compiler: Compiled 7440 to 1387 computations (81.4% saved)

prune140.0ms (1.1%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	459	17	476
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	460	19	479

Accuracy

100.0%

Counts

479 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
	93.9%	(pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (.f64 x y))) #s(literal -2 binary64))
	88.1%	(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	49.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
	89.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	88.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	60.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))))
	63.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	90.1%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
	49.4%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)))
▶	90.1%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) (.f64 x y)))
	98.0%	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
▶	63.4%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
▶	88.1%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
	87.6%	(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
	60.6%	(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) y))
▶	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
	88.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
	92.7%	(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64)))))

Compiler

Compiled 537 to 355 computations (33.9% saved)

simplify152.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64)))
✓	cost-diff	12864	(/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))))
✓	cost-diff	64	(+.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))
✓	cost-diff	192	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))
✓	cost-diff	192	(.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) (.f64 x y))
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) (.f64 x y)))
	cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓	cost-diff	0	(hypot.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓	cost-diff	19584	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))

Rules

788×	`distribute-lft-in`
778×	`distribute-rgt-in`
336×	`associate-r`
305×	`fmm-def`
286×	`distribute-neg-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	37	764
1	84	739
2	208	739
3	768	631
4	4832	631
5	5874	630

Stop Event

1×	node limit

Calls

Call 1

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

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

localize332.0ms (2.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))
✓	accuracy	98.5%	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
✓	accuracy	89.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))))
✓	accuracy	59.6%	(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64)))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) (.f64 x y)))
✓	accuracy	90.7%	(.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) (.f64 x y))
	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
✓	accuracy	98.5%	(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
✓	accuracy	90.5%	(.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓	accuracy	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓	accuracy	94.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))

Results

279.0ms

256×

valid

Compiler

Compiled 196 to 31 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-pow: 38.0ms (48% of total)

ival-div: 13.0ms (16.4% of total)

ival-mult: 12.0ms (15.2% of total)

ival-hypot: 5.0ms (6.3% of total)

ival-fma: 3.0ms (3.8% of total)

ival-add: 2.0ms (2.5% of total)

ival-cbrt: 2.0ms (2.5% of total)

ival-sqrt: 2.0ms (2.5% of total)

const: 1.0ms (1.3% of total)

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

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

series54.0ms (0.4%)

Counts

17 → 453

Calls

Call 1

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

Outputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 x y)))>
#<alt (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
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#<alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (pow.f64 y #s(literal 3 binary64))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))))>

Calls

114 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(/ (/ 1 x) (cbrt (pow (* y (+ (* z z) 1)) 3)))
4.0ms	z	@	inf	(* (sqrt (+ (* 1 1) (* z z))) (sqrt y))
3.0ms	x	@	0	(/ 1 (* y x))
2.0ms	y	@	-inf	(* (/ 1 (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) (/ (/ 1 x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))))
1.0ms	y	@	0	(pow (* y (+ (* z z) 1)) 3)

rewrite204.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

234×	`log1p-expm1-u`
234×	`expm1-log1p-u`
231×	`add-cube-cbrt`
230×	`add-exp-log`
229×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	572
1	605	458

Stop Event

1×	node limit

Counts

17 → 740

Calls

Call 1

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

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

simplify731.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-/r*`
546×	`associate-*r/`
427×	`fma-define`
426×	`associate-*l/`
309×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1210	52488
1	3051	50208

Stop Event

1×	node limit

Counts

1193 → 855

Calls

Call 1

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

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

eval541.0ms (4.3%)

Compiler: Compiled 24687 to 3539 computations (85.7% saved)

prune233.0ms (1.9%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1141	13	1154
Fresh	5	7	12
Picked	4	1	5
Done	1	1	2
Total	1151	22	1173

Accuracy

100.0%

Counts

1173 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.2%	(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	99.3%	(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
▶	63.1%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
	62.9%	(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(literal 3 binary64))
	90.1%	(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x)
▶	88.1%	(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	97.1%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 (sqrt.f64 y) x))) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))
▶	49.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
	92.7%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
	89.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	88.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	52.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 y #s(literal 3 binary64))))
▶	63.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	98.9%	(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
	49.4%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)))
	90.1%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 2 binary64))) (.f64 x y)))
	98.0%	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
✓	63.4%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
	98.7%	(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
	58.4%	(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
	63.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 576 to 399 computations (30.7% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	-6272	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	cost-diff	-6272	(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(sqrt.f64 (*.f64 x y))
✓	cost-diff	0	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
✓	cost-diff	0	(pow.f64 z #s(literal 2 binary64))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	cost-diff	0	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓	cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓	cost-diff	19136	(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))

Rules

298×	`associate-/r*`
292×	`times-frac`
106×	`associate-r`
87×	`associate-/l/`
83×	`associate-l`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	466
1	60	463
2	95	463
3	199	463
4	305	458
5	387	458
6	567	458
7	1230	458
8	1412	458
9	1460	458
10	1460	458

Stop Event

1×

saturated

Calls

Call 1

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

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

localize205.0ms (1.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.2%	(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
	accuracy	98.5%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	89.8%	(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
✓	accuracy	72.8%	(sqrt.f64 (*.f64 x y))
✓	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	82.2%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(sqrt.f64 y)
	accuracy	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓	accuracy	99.5%	(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
✓	accuracy	95.6%	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))

Results

161.0ms

256×

valid

Compiler

Compiled 134 to 28 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-pow: 25.0ms (44.4% of total)

ival-mult: 9.0ms (16% of total)

ival-div: 8.0ms (14.2% of total)

ival-sqrt: 7.0ms (12.4% of total)

ival-hypot: 6.0ms (10.7% of total)

ival-add: 1.0ms (1.8% of total)

const: 1.0ms (1.8% of total)

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

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

series39.0ms (0.3%)

Counts

12 → 232

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(sqrt x)
3.0ms	x	@	0	(pow x -1/2)
1.0ms	x	@	-inf	(pow (/ (pow x -1/2) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) 2)
1.0ms	x	@	0	(/ (/ (/ 1 x) y) (pow z 2))
1.0ms	x	@	-inf	(/ (pow (sqrt x) -2) (* y (+ 1 (* z z))))

rewrite221.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log1p-expm1-u`
493×	`prod-diff`
207×	`expm1-log1p-u`
195×	`pow1`
192×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	261
1	511	241
2	6417	241

Stop Event

1×	node limit

Counts

12 → 497

Calls

Call 1

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

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

simplify322.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

863×	`times-frac`
648×	`associate-r`
604×	`associate-l`
525×	`associate-*r/`
407×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	903	27955
1	2143	25567

Stop Event

1×	node limit

Counts

729 → 562

Calls

Call 1

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

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

eval165.0ms (1.3%)

Compiler: Compiled 12924 to 2179 computations (83.1% saved)

prune294.0ms (2.4%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	809	11	820
Fresh	10	5	15
Picked	3	2	5
Done	0	2	2
Total	822	20	842

Accuracy

100.0%

Counts

842 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.0%	(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal -4 binary64))
	56.5%	(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
✓	63.1%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
	63.4%	(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
	49.9%	(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
▶	99.3%	(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 y)))
▶	93.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
	92.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
	49.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
▶	63.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
	89.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	88.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	63.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	98.9%	(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
▶	90.1%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 2 binary64))) (.f64 x y)))
✓	63.4%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
▶	54.4%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
	58.4%	(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
	56.3%	(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) z))
	63.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 475 to 312 computations (34.3% saved)

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
✓	cost-diff	6528	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(fma.f64 z z #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 2 binary64)))
✓	cost-diff	128	(.f64 (+.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 2 binary64))) (.f64 x y))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 2 binary64))) (.f64 x y)))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) y) z)
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) z)
✓	cost-diff	128	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
	cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z))
✓	cost-diff	12928	(.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 y))
✓	cost-diff	32384	(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 y)))

Rules

617×	`cancel-sign-sub-inv`
573×	`fma-define`
570×	`fmm-def`
513×	`sub-neg`
286×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	766
1	78	762
2	184	650
3	428	650
4	1004	605
5	2491	605
6	4189	605
7	7689	605

Stop Event

1×	node limit

Calls

Call 1

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

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

localize545.0ms (4.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	98.2%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
✓	accuracy	96.1%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (hypot.f64 #s(literal 1 binary64) z))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 2 binary64)))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 2 binary64))) (.f64 x y)))
✓	accuracy	90.7%	(.f64 (+.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 2 binary64))) (.f64 x y))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) z)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) z)
✓	accuracy	95.9%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 y))
✓	accuracy	99.6%	(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (hypot.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 y)))
✓	accuracy	99.5%	(/.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64)))

Results

217.0ms

256×

valid

Compiler

Compiled 192 to 31 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 18.0ms (36% of total)

ival-pow: 11.0ms (22% of total)

ival-mult: 8.0ms (16% of total)

ival-hypot: 5.0ms (10% of total)

ival-fma: 3.0ms (6% of total)

ival-sqrt: 2.0ms (4% of total)

ival-add: 1.0ms (2% of total)

const: 1.0ms (2% of total)

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

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

series172.0ms (1.4%)

Counts

17 → 432

Calls

Call 1

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

Outputs
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 x y)))>
#<alt (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) y)))))>
#<alt (+.f64 (.f64 (sqrt.f64 x) y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (.f64 y (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (.f64 (sqrt.f64 x) (.f64 y z))>
#<alt (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 (sqrt.f64 x) y)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 (sqrt.f64 x) y))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 (sqrt.f64 x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 (sqrt.f64 x) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 (sqrt.f64 x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 (sqrt.f64 x) y))))))>
#<alt (.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)>
#<alt (.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)>
#<alt (.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)>
#<alt (.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)>
#<alt (.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)>
#<alt (.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)>
#<alt (.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)>
#<alt (.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)>
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#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x y))) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) z)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))))))) z)>
#<alt (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y z)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x y))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64)))))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 6 binary64)))))))) z))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 x y)))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.f64 (sqrt.f64 (.f64 x y)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 (.f64 x y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (.f64 x y)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x y))))))>
#<alt (+.f64 (sqrt.f64 (.f64 x y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x y))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x y))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 (sqrt.f64 (.f64 x y)) z)>
#<alt (.f64 z (+.f64 (sqrt.f64 (.f64 x y)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (.f64 z (+.f64 (sqrt.f64 (.f64 x y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (.f64 z (+.f64 (sqrt.f64 (.f64 x y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 (.f64 x y)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 (.f64 x y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 (.f64 x y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #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 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))>

Calls

117 calls:

Time	Variable		Point	Expression
129.0ms	y	@	-inf	(* (/ (/ 1 x) z) (/ (/ 1 y) z))
2.0ms	z	@	inf	(/ (/ 1 (* x y)) (sqrt (+ (* 1 1) (* z z))))
1.0ms	z	@	0	(/ (pow x -1/2) (sqrt (+ (* 1 1) (* z z))))
1.0ms	x	@	0	(/ (/ 1 (* x y)) (sqrt (+ (* 1 1) (* z z))))
1.0ms	x	@	-inf	(* (* (sqrt (+ (* 1 1) (* z z))) (/ (sqrt y) (pow x -1/2))) (sqrt y))

rewrite370.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

295×	`frac-times`
267×	`log1p-expm1-u`
267×	`expm1-log1p-u`
266×	`add-exp-log`
265×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	550
1	616	508

Stop Event

1×	node limit

Counts

17 → 519

Calls

Call 1

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

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

simplify382.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

677×	`associate-*l/`
656×	`times-frac`
474×	`fma-define`
307×	`*-commutative`
154×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1262	39783
1	3236	37578

Stop Event

1×	node limit

Counts

951 → 847

Calls

Call 1

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

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

eval128.0ms (1%)

Compiler: Compiled 20358 to 3152 computations (84.5% saved)

prune211.0ms (1.7%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	994	5	999
Fresh	6	5	11
Picked	2	3	5
Done	0	4	4
Total	1002	17	1019

Accuracy

100.0%

Counts

1019 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.0%	(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal -4 binary64))
✓	63.1%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
	63.4%	(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
	55.8%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) z)
	92.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)
	49.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
	54.3%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 z y))
	55.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 z x) z))
✓	63.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	88.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	63.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	49.8%	(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 (neg.f64 z) z))
✓	90.1%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 2 binary64))) (.f64 x y)))
	54.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))
✓	63.4%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓	54.4%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
	63.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 732 to 286 computations (60.9% saved)

regimes124.0ms (1%)

Counts

49 → 1

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))

Calls

8 calls:

27.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
16.0ms	y
14.0ms	(/.f64 #s(literal 1 binary64) x)
14.0ms	x
13.0ms	z

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`
99.4%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
99.4%	1	`(/.f64 #s(literal 1 binary64) x)`
99.4%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.4%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.4%	1	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes106.0ms (0.9%)

Counts

45 → 1

Calls

Call 1

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

Outputs
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))

Calls

8 calls:

14.0ms	y
14.0ms	(/.f64 #s(literal 1 binary64) x)
14.0ms	x
13.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
13.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`z`
99.3%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
99.3%	1	`(/.f64 #s(literal 1 binary64) x)`
99.3%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.3%	1	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes146.0ms (1.2%)

Counts

42 → 1

Calls

Call 1

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

Outputs
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)

Calls

8 calls:

53.0ms	x
18.0ms	y
14.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
13.0ms	(/.f64 #s(literal 1 binary64) x)
12.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`z`
98.9%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.9%	1	`(/.f64 #s(literal 1 binary64) x)`
98.9%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.9%	1	`y`
98.9%	1	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes86.0ms (0.7%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

8 calls:

14.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
11.0ms	y
11.0ms	(/.f64 #s(literal 1 binary64) x)
11.0ms	z
11.0ms	x

Results

Accuracy	Segments	Branch
93.9%	1	`x`
98.0%	2	`y`
99.7%	2	`z`
96.1%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
93.9%	1	`(/.f64 #s(literal 1 binary64) x)`
99.3%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.7%	2	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes210.0ms (1.7%)

Counts

23 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 z x) z))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) z)
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 (neg.f64 z) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) y)

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

Calls

3 calls:

196.0ms	(*.f64 z z)
7.0ms	z
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.6%	2	`z`
99.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.6%	2	`(*.f64 z z)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.2%)

Counts

21 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 z x) z))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) z)
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 (neg.f64 z) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.3%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.3%	2	`z`
99.3%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.3%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes21.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 z x) z))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) z)
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 (neg.f64 z) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))

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

Calls

3 calls:

4.0ms	y
4.0ms	z
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
74.2%	4	`y`
97.9%	2	`z`
97.9%	2	`(*.f64 z z)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
96.4%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	z
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
63.6%	1	`y`
63.6%	1	`(/.f64 #s(literal 1 binary64) x)`
63.6%	1	`x`
63.6%	1	`z`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes7.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	y
2.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
63.5%	1	`y`
63.5%	1	`x`
63.5%	1	`(/.f64 #s(literal 1 binary64) x)`
63.5%	1	`z`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
63.4%	1	`y`
63.4%	1	`x`
63.4%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.359098466816678e+300	6.183563202737334e+300

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.359098466816678e+300	6.183563202737334e+300

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7645497611056897e+308	+inf

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.08036105517133e-5	0.22771189012279952

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.00456109751613724	0.4771916702152286

Results

8.0ms

112×

valid

Compiler

Compiled 171 to 127 computations (25.7% saved)

Precisions

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

ival-div: 2.0ms (47.1% of total)

ival-mult: 2.0ms (47.1% of total)

ival-add: 1.0ms (23.5% of total)

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

const: 0.0ms (0% of total)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	689
1	84	689

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z x))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) z))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 z x) z)))
(if (<=.f64 z #s(literal 2116691824864133/4503599627370496 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))) y)
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z x))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) z))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 z x) z)))
(if (<=.f64 (.f64 z z) #s(literal 5902958103587057/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z (*.f64 z x))))
(if (<=.f64 z #s(literal 2116691824864133/4503599627370496 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness2.2s (17.5%)

Rules

1198×	`fma-define`
858×	`fmm-def`
844×	`log1p-expm1-u`
844×	`expm1-log1p-u`
583×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1210	52488
1	3051	50208
0	37	572
1	605	458
0	33	261
1	511	241
2	6417	241
0	42	485
1	140	429
2	374	429
3	1232	429
4	2997	429
5	5308	429
6	6628	429
7	6877	429
8	6988	429
9	7001	429
10	7502	429
11	7806	429
0	37	550
1	616	508
0	635	28137
1	1420	27769
2	4758	27686
0	23	294
1	365	294
2	4295	294

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1639 to 437 computations (73.3% saved)

preprocess389.0ms (3.1%)

Remove: (abs z)
Compiler: Compiled 1348 to 644 computations (52.2% saved)

analyze86.0ms (0.7%)

sample1.8s (14.4%)

preprocess291.0ms (2.3%)

explain163.0ms (1.3%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify15.0ms (0.1%)

localize206.0ms (1.7%)

series82.0ms (0.7%)

rewrite429.0ms (3.4%)

simplify394.0ms (3.2%)

eval59.0ms (0.5%)

prune140.0ms (1.1%)

simplify152.0ms (1.2%)

localize332.0ms (2.7%)

series54.0ms (0.4%)

rewrite204.0ms (1.6%)

simplify731.0ms (5.9%)

eval541.0ms (4.3%)

prune233.0ms (1.9%)

simplify51.0ms (0.4%)

localize205.0ms (1.6%)

series39.0ms (0.3%)

rewrite221.0ms (1.8%)

simplify322.0ms (2.6%)

eval165.0ms (1.3%)

prune294.0ms (2.4%)

simplify94.0ms (0.8%)

localize545.0ms (4.4%)

series172.0ms (1.4%)

rewrite370.0ms (3%)

simplify382.0ms (3.1%)

eval128.0ms (1%)

prune211.0ms (1.7%)

regimes124.0ms (1%)

regimes106.0ms (0.9%)

regimes146.0ms (1.2%)

regimes86.0ms (0.7%)

regimes210.0ms (1.7%)

regimes26.0ms (0.2%)

regimes21.0ms (0.2%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

simplify6.0ms (0.1%)

soundness2.2s (17.5%)

preprocess389.0ms (3.1%)

end0.0ms (0%)

Profiling