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

analyze71.0ms (0.6%)

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 15 to 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 12.0ms (40.1% of total)

ival-div: 10.0ms (33.4% of total)

ival-add: 6.0ms (20.1% of total)

const: 1.0ms (3.3% of total)

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

sample1.8s (14.6%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 871.0ms

ival-mult: 646.0ms (74.2% of total)

ival-div: 137.0ms (15.7% of total)

ival-add: 75.0ms (8.6% of total)

const: 11.0ms (1.3% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess253.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1198×	`fma-define`
858×	`fma-neg`
646×	`unsub-neg`
419×	`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	2991	429
5	5316	429
6	6626	429
7	6877	429
8	6986	429
9	6999	429
10	7500	429
11	7804	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)

explain84.0ms (0.7%)

FPErrors

Click to see full error table

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

Results

48.0ms

512×

valid

Compiler

Compiled 88 to 29 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (42% of total)

ival-mult: 8.0ms (42% of total)

ival-add: 3.0ms (15.8% of total)

const: 1.0ms (5.3% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	92.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
▶	93.6%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))

Status

Accuracy

Program

▶

91.6%

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

▶

92.4%

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

▶

93.6%

(/.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

localize182.0ms (1.5%)

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	97.8%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	93.9%	(/.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	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
✓	accuracy	93.3%	(.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓	accuracy	89.2%	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Results

48.0ms

256×

valid

Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 12.0ms (48.5% of total)

ival-div: 7.0ms (28.3% of total)

ival-fma: 4.0ms (16.2% of total)

ival-add: 2.0ms (8.1% of total)

const: 0.0ms (0% of total)

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

series37.0ms (0.3%)

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))))))>
#<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)))>
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#<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
2.0ms	y	@	inf	(* y (+ 1 (* z z)))
2.0ms	x	@	-inf	(* x y)
2.0ms	y	@	0	(/ 1 (* y (* x (+ (* z z) 1))))
1.0ms	z	@	0	(/ 1 (* y (* x (+ (* z z) 1))))
1.0ms	x	@	0	(/ 1 (* y (* x (+ (* z z) 1))))

rewrite483.0ms (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))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.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 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))))
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(/.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))

simplify501.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

355×	`cube-prod`
348×	`exp-prod`
270×	`associate-r`
260×	`times-frac`
242×	`fma-neg`

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))))))
(/.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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(-.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)))))
(/.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) x) y) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (/.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) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 2 binary64))))))) (pow.f64 z #s(literal 2 binary64)))
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(*.f64 (+.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)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.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 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64))))
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(*.f64 (+.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)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.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 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64))))
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(*.f64 (+.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)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 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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(exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
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(exp.f64 (*.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(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))

eval58.0ms (0.5%)

Compiler: Compiled 7440 to 1390 computations (81.3% saved)

prune189.0ms (1.5%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	458	18	476
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	458	21	479

Accuracy

100.0%

Counts

479 → 21

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))
	95.5%	(pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (.f64 x y))) #s(literal -2 binary64))
▶	91.3%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	51.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
	93.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	93.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal 2 binary64)))
✓	91.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	61.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	95.0%	(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (.f64 y x))) #s(literal 2 binary64)))
✓	92.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
	51.6%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)))
▶	98.8%	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
	67.1%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))))))
✓	93.6%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
	50.8%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 2 binary64)))))
▶	61.5%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
	92.4%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y x)))
▶	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))))
	93.7%	(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
	76.1%	(sqrt.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)) #s(literal -2 binary64)))
	68.6%	(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x))) #s(literal 3 binary64)))

Compiler

Compiled 548 to 375 computations (31.6% saved)

simplify492.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓	cost-diff	12800	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
✓	cost-diff	12800	(.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
✓	cost-diff	12800	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
	cost-diff	-6272	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
✓	cost-diff	6528	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	cost-diff	12800	(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #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 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

619×	`fma-define`
611×	`associate-*r/`
564×	`associate-/l/`
462×	`associate-/r*`
447×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	683
1	76	663
2	177	623
3	525	572
4	1261	572
5	2265	572
6	2587	572
7	2898	572
8	3080	572
9	3158	572
10	3174	572
11	3881	572
12	4148	572
13	4283	572
14	4301	572
15	4301	572
16	4683	572
17	4820	572
18	4902	572
19	5038	572
20	5118	572
21	5134	572
22	5158	572
23	5158	572
24	5158	572
25	5164	572
26	5166	572

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

localize386.0ms (3.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
✓	accuracy	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓	accuracy	99.3%	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.2%	(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
	accuracy	97.8%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	93.9%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	82.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.2%	(/.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	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓	accuracy	95.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))

Results

99.0ms

256×

valid

Compiler

Compiled 183 to 30 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-pow: 16.0ms (27.1% of total)

ival-div: 13.0ms (22% of total)

ival-mult: 13.0ms (22% of total)

ival-add: 7.0ms (11.8% of total)

ival-hypot: 5.0ms (8.5% of total)

ival-sqrt: 4.0ms (6.8% of total)

const: 1.0ms (1.7% of total)

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

series133.0ms (1.1%)

Counts

17 → 420

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

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

Calls

108 calls:

Time	Variable		Point	Expression
68.0ms	x	@	-inf	(/ (/ 1 x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
6.0ms	z	@	0	(/ (/ (/ 1 x) y) (pow z 2))
5.0ms	y	@	-inf	(* (/ 1 (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) (/ (/ 1 x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))))
3.0ms	x	@	0	(/ 1 (* y x))
1.0ms	x	@	0	(/ (/ (/ 1 x) y) (pow z 2))

rewrite203.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

241×	`log1p-expm1-u`
241×	`expm1-log1p-u`
234×	`add-exp-log`
233×	`pow1`
231×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	503
1	591	403

Stop Event

1×	node limit

Counts

17 → 696

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

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

simplify1.1s (8.6%)

Algorithm

1×	egg-herbie

Rules

437×	`associate-/l/`
396×	`fma-define`
353×	`*-commutative`
261×	`fma-neg`
175×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1296	47279
1	3271	45636
2	7298	45633

Stop Event

1×	node limit

Counts

1116 → 959

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

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

eval244.0ms (2%)

Compiler: Compiled 26809 to 3788 computations (85.9% saved)

prune235.0ms (1.9%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1269	14	1283
Fresh	10	3	13
Picked	4	1	5
Done	0	3	3
Total	1283	21	1304

Accuracy

100.0%

Counts

1304 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.7%	(pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
	61.3%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
▶	51.8%	(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
▶	99.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (.f64 (sqrt.f64 y) (.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
	56.8%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
▶	51.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
	61.4%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
	93.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	91.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	61.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	61.4%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	92.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
	56.2%	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
✓	93.6%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
	50.8%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓	61.5%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
▶	51.4%	(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
	61.1%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
	55.5%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
	57.6%	(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
	61.3%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 452 to 309 computations (31.6% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
✓	cost-diff	12864	(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(pow.f64 z #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
	cost-diff	0	(*.f64 z z)
	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) (*.f64 z z))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	cost-diff	0	(hypot.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))
✓	cost-diff	19456	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (.f64 (sqrt.f64 y) (.f64 (hypot.f64 #s(literal 1 binary64) z) x)))

Rules

333×	`associate-r`
253×	`associate-/r*`
233×	`associate-/l/`
200×	`associate-l`
112×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	461
1	62	461
2	134	444
3	294	444
4	489	434
5	889	434
6	958	434
7	1116	434
8	1229	434
9	1453	434
10	1459	434
11	1471	434
12	1471	434
13	1471	434
14	1561	434

Stop Event

1×

saturated

Calls

Call 1

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

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

localize185.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.6%	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
✓	accuracy	62.2%	(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
✓	accuracy	100.0%	(pow.f64 z #s(literal -2 binary64))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	82.6%	(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	82.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(*.f64 (hypot.f64 #s(literal 1 binary64) z) x)
✓	accuracy	99.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (.f64 (sqrt.f64 y) (.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
✓	accuracy	99.6%	(.f64 (sqrt.f64 y) (.f64 (hypot.f64 #s(literal 1 binary64) z) x))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y))

Results

149.0ms

256×

valid

Compiler

Compiled 134 to 25 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-pow: 84.0ms (72.3% of total)

ival-div: 14.0ms (12% of total)

ival-mult: 9.0ms (7.7% of total)

ival-hypot: 5.0ms (4.3% of total)

ival-sqrt: 2.0ms (1.7% of total)

ival-cbrt: 2.0ms (1.7% of total)

const: 1.0ms (0.9% of total)

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

series44.0ms (0.4%)

Counts

12 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(pow (* y x) 3)
3.0ms	y	@	-inf	(/ 1 (cbrt (pow (* y x) 3)))
2.0ms	x	@	0	(/ (/ (/ 1 x) y) (* z z))
2.0ms	x	@	-inf	(/ 1 (cbrt (pow (* y x) 3)))
1.0ms	x	@	0	(pow (* y x) 3)

rewrite225.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log1p-expm1-u`
248×	`prod-diff`
196×	`add-cube-cbrt`
196×	`expm1-log1p-u`
194×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	310
1	507	262
2	6706	262

Stop Event

1×	node limit

Counts

12 → 476

Calls

Call 1

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

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

simplify293.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

586×	`associate-r`
566×	`associate-*r/`
529×	`associate-l`
436×	`associate-*l/`
420×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	961	8589962598
1	2369	8589960198

Stop Event

1×	node limit

Counts

788 → 641

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)))
(/.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)))))))
(/.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)))))))
(/.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)))))))
(/.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)))))))
(/.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))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 3/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 3/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -5/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (.f64 #s(literal 3/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z)
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) z))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))) z))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -5/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))))) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) z)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) z)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) z)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) z)
(/.f64 #s(literal -1 binary64) z)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) z))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) z))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) z))
(/.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 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 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 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 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 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 y))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.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 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64)))))
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(.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 y x))
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) x)
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y)
(.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x)))
(.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (.f64 y x))) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y x))))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 x (sqrt.f64 y))))) #s(literal 1 binary64))
(pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 x (sqrt.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 x (sqrt.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 x (sqrt.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 x (sqrt.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) x) (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 x (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 x (sqrt.f64 y))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 x (sqrt.f64 y)))))
(log1p.f64 (expm1.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 x (sqrt.f64 y)))))
(exp.f64 (log.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 x (sqrt.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (*.f64 x (sqrt.f64 y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #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) x)))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(exp.f64 (.f64 (log.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) x)) #s(literal 1 binary64)))

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

eval148.0ms (1.2%)

Compiler: Compiled 16859 to 2704 computations (84% saved)

prune267.0ms (2.2%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	934	3	937
Fresh	3	9	12
Picked	2	3	5
Done	0	4	4
Total	939	19	958

Accuracy

100.0%

Counts

958 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
	61.3%	(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (sqrt.f64 y))
▶	51.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
	56.8%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
✓	51.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
▶	61.4%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
▶	93.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	91.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	61.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶	61.4%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	92.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
	56.2%	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (sqrt.f64 x) z) #s(literal 2 binary64))))
✓	93.6%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
	50.8%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓	61.5%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓	51.4%	(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
▶	55.5%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
	55.5%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
	61.3%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 355 to 244 computations (31.3% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) z) y)
✓	cost-diff	128	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
	cost-diff	-128	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) z) z)
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(fma.f64 (*.f64 y z) z y)
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))

Rules

220×	`times-frac`
93×	`fma-define`
67×	`associate-/r*`
63×	`associate-*r/`
55×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	396
1	56	384
2	109	384
3	195	384
4	296	378
5	398	378
6	463	378
7	530	378
8	667	378
9	815	378
10	817	378

Stop Event

1×

saturated

Calls

Call 1

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

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

localize146.0ms (1.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) z) y)
✓	accuracy	96.4%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) z) z)
✓	accuracy	82.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(fma.f64 (*.f64 y z) z y)
✓	accuracy	93.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))

Results

118.0ms

256×

valid

Compiler

Compiled 111 to 20 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 69.0ms (87.9% of total)

ival-mult: 6.0ms (7.6% of total)

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

const: 0.0ms (0% of total)

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

series126.0ms (1%)

Counts

13 → 264

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
100.0ms	x	@	0	(/ (/ (/ 1 z) z) (* x y))
1.0ms	y	@	-inf	(/ (/ 1 x) (+ (* (* y z) z) y))
1.0ms	y	@	inf	(/ (/ 1 x) (+ (* (* y z) z) y))
1.0ms	x	@	0	(/ (/ 1 x) (+ (* (* y z) z) y))
1.0ms	z	@	0	(/ (/ 1 z) y)

rewrite319.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log1p-expm1-u`
346×	`prod-diff`
302×	`frac-times`
175×	`add-exp-log`
175×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	290
1	441	257
2	6462	257

Stop Event

1×	node limit

Counts

13 → 566

Calls

Call 1

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

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

simplify806.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-define`
471×	`associate-/r*`
420×	`*-commutative`
377×	`exp-prod`
342×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1018	24572
1	2392	22434
2	6202	22412

Stop Event

1×	node limit

Counts

830 → 655

Calls

Call 1

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

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

eval94.0ms (0.8%)

Compiler: Compiled 10519 to 2006 computations (80.9% saved)

prune212.0ms (1.7%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	785	6	791
Fresh	4	3	7
Picked	2	3	5
Done	1	6	7
Total	792	18	810

Accuracy

100.0%

Counts

810 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.7%	(pow.f64 (.f64 x (fma.f64 (.f64 y z) z y)) #s(literal -1 binary64))
	61.3%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
	61.2%	(/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
	61.2%	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (sqrt.f64 x)))
✓	51.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
	55.5%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x z))
	55.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 y z))
	56.8%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
✓	51.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
✓	61.4%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	91.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	61.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	61.4%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	92.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
	57.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 x z)) z))
✓	93.6%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓	61.5%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
	61.3%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 640 to 264 computations (58.8% saved)

regimes112.0ms (0.9%)

Counts

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

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

Calls

8 calls:

20.0ms	z
14.0ms	x
13.0ms	(/.f64 #s(literal 1 binary64) x)
13.0ms	y
13.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z 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)

regimes100.0ms (0.8%)

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

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:

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

regimes99.0ms (0.8%)

Counts

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.8%	1	`z`
98.8%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.8%	1	`(/.f64 #s(literal 1 binary64) x)`
98.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.8%	1	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes93.0ms (0.8%)

Counts

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

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) y) (*.f64 x z)) z)

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
95.5%	1	`x`
97.1%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.9%	2	`y`
99.7%	2	`z`
95.5%	1	`(/.f64 #s(literal 1 binary64) x)`
99.7%	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)

regimes16.0ms (0.1%)

Counts

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

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

Calls

3 calls:

6.0ms	y
5.0ms	z
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
71.7%	4	`y`
98.5%	2	`z`
98.5%	2	`(*.f64 z z)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes6.0ms (0%)

Counts

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

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

Calls

2 calls:

3.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
98.1%	2	`z`
98.1%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.3b remaining (-1.4%)

Threshold costs -0.3b (-1.4%)

Counts

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

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

Calls

4 calls:

4.0ms	z
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
61.5%	1	`y`
61.5%	1	`x`
61.5%	1	`(/.f64 #s(literal 1 binary64) x)`
61.5%	1	`z`

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.959891150398566e+306	+inf

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.33648534954639e-5	14.130502502507087

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.33648534954639e-5	14.130502502507087

Compiler

Compiled 20 to 14 computations (30% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	443
1	70	443

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (.f64 (sqrt.f64 y) (.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(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 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 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) y) (*.f64 x z)) z))
(if (<=.f64 (.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)) z))
(if (<=.f64 (.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 x z)) z)))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

Outputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) (.f64 (sqrt.f64 y) (.f64 (hypot.f64 #s(literal 1 binary64) z) x)))
(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 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 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) y) (*.f64 x z)) z))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 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) y) (*.f64 z x)) z))
(if (<=.f64 (.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)) z))
(if (<=.f64 (.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z x)) z))
(if (<=.f64 (.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 x z)) z)))
(if (<=.f64 (.f64 z z) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y (.f64 z x)))))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness2.2s (18%)

Rules

1198×	`fma-define`
858×	`fma-neg`
844×	`log1p-expm1-u`
844×	`expm1-log1p-u`
646×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	290
1	441	257
2	6462	257
0	31	310
1	507	262
2	6706	262
0	1296	47279
1	3271	45636
2	7298	45633
0	36	503
1	591	403
0	23	294
1	365	294
2	4295	294
0	42	485
1	140	429
2	374	429
3	1232	429
4	2991	429
5	5316	429
6	6626	429
7	6877	429
8	6986	429
9	6999	429
10	7500	429
11	7804	429
0	635	28137
1	1420	27769
2	4758	27686

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 1343 to 401 computations (70.1% saved)

preprocess150.0ms (1.2%)

Remove: (abs z)
Compiler: Compiled 1302 to 592 computations (54.5% saved)

Iter	Nodes	Cost
0	26	396
1	56	384
2	109	384
3	195	384
4	296	378
5	398	378
6	463	378
7	530	378
8	667	378
9	815	378
10	817	378

Iter	Nodes	Cost
0	26	396
1	56	384
2	109	384
3	195	384
4	296	378
5	398	378
6	463	378
7	530	378
8	667	378
9	815	378
10	817	378

analyze71.0ms (0.6%)

sample1.8s (14.6%)

preprocess253.0ms (2.1%)

explain84.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize182.0ms (1.5%)

series37.0ms (0.3%)

rewrite483.0ms (4%)

simplify501.0ms (4.1%)

eval58.0ms (0.5%)

prune189.0ms (1.5%)

simplify492.0ms (4%)

localize386.0ms (3.2%)

series133.0ms (1.1%)

rewrite203.0ms (1.7%)

simplify1.1s (8.6%)

eval244.0ms (2%)

prune235.0ms (1.9%)

simplify80.0ms (0.7%)

localize185.0ms (1.5%)

series44.0ms (0.4%)

rewrite225.0ms (1.8%)

simplify293.0ms (2.4%)

eval148.0ms (1.2%)

prune267.0ms (2.2%)

simplify86.0ms (0.7%)

localize146.0ms (1.2%)

series126.0ms (1%)

rewrite319.0ms (2.6%)

simplify806.0ms (6.6%)

eval94.0ms (0.8%)

prune212.0ms (1.7%)

regimes112.0ms (0.9%)

regimes100.0ms (0.8%)

regimes99.0ms (0.8%)

regimes93.0ms (0.8%)

regimes16.0ms (0.1%)

regimes6.0ms (0%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

soundness2.2s (18%)

preprocess150.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	396
1	56	384
2	109	384
3	195	384
4	296	378
5	398	378
6	463	378
7	530	378
8	667	378
9	815	378
10	817	378