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

analyze73.0ms (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: 32.0ms

ival-mult: 13.0ms (40.1% of total)

ival-div: 10.0ms (30.8% of total)

ival-add: 8.0ms (24.7% of total)

const: 1.0ms (3.1% of total)

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

sample1.4s (10.8%)

Results

963.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 637.0ms

ival-div: 327.0ms (51.3% of total)

ival-mult: 245.0ms (38.5% of total)

ival-add: 51.0ms (8% of total)

const: 11.0ms (1.7% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess240.0ms (1.9%)

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)

explain170.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
11	-	-	`(.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

137.0ms

512×

valid

Compiler

Compiled 88 to 29 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 63.0ms (85.1% of total)

ival-mult: 8.0ms (10.8% of total)

ival-add: 3.0ms (4.1% of total)

const: 1.0ms (1.4% 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
▶	86.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	89.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
▶	90.3%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))

Status

Accuracy

Program

▶

86.7%

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

▶

89.4%

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

▶

90.3%

(/.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)

simplify17.0ms (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

localize102.0ms (0.8%)

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	96.0%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
✓	accuracy	90.2%	(.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓	accuracy	99.2%	(.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	86.1%	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Results

79.0ms

256×

valid

Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions

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

ival-mult: 10.0ms (44.8% of total)

ival-div: 7.0ms (31.4% of total)

ival-fma: 4.0ms (17.9% of total)

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

const: 0.0ms (0% of total)

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

series36.0ms (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	z	@	inf	(+ 1 (* z z))
2.0ms	x	@	-inf	(* x y)
2.0ms	y	@	0	(/ 1 (* y (* x (+ (* z z) 1))))
2.0ms	z	@	-inf	(* x (+ (* z z) 1))
1.0ms	z	@	0	(/ 1 (* y (* x (+ (* z z) 1))))

rewrite598.0ms (4.7%)

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))

simplify429.0ms (3.4%)

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))))))
(/.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)) (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))

eval57.0ms (0.5%)

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

prune166.0ms (1.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	461	15	476
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	463	16	479

Accuracy

100.0%

Counts

479 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(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))
	94.0%	(pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (.f64 x y))) #s(literal -2 binary64))
	86.4%	(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	52.3%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
▶	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	86.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	55.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶	63.8%	(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	52.3%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)))
	98.0%	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
▶	49.7%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 2 binary64)))))
▶	55.6%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
	45.7%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64)))))
	86.5%	(.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))))))
	89.7%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y x)))
	86.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 412 to 289 computations (29.9% saved)

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

299×	`times-frac`
282×	`associate-/r*`
137×	`associate-r`
97×	`associate-/l/`
95×	`associate-l`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	536
1	72	528
2	113	528
3	245	528
4	376	518
5	460	518
6	680	518
7	1381	518
8	1504	518
9	1504	518

Stop Event

1×

saturated

Calls

Call 1

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

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

localize321.0ms (2.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 z z)
	accuracy	96.0%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	90.8%	(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	accuracy	57.3%	(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.9%	(fma.f64 (*.f64 y z) z y)
✓	accuracy	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓	accuracy	91.1%	(.f64 y (.f64 x (pow.f64 z #s(literal 2 binary64))))
✓	accuracy	82.8%	(*.f64 x (pow.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓	accuracy	99.5%	(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
✓	accuracy	94.5%	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))

Results

235.0ms

256×

valid

Compiler

Compiled 151 to 30 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-add: 114.0ms (67.9% of total)

ival-pow: 18.0ms (10.7% of total)

ival-mult: 13.0ms (7.7% of total)

ival-div: 10.0ms (6% of total)

ival-hypot: 5.0ms (3% of total)

ival-sqrt: 4.0ms (2.4% of total)

ival-fma: 3.0ms (1.8% of total)

const: 1.0ms (0.6% of total)

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

series58.0ms (0.5%)

Counts

17 → 352

Calls

Call 1

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

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

Calls

105 calls:

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

rewrite404.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`prod-diff`
237×	`log1p-expm1-u`
237×	`expm1-log1p-u`
231×	`pow1`
230×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	394
1	573	372
2	7522	372

Stop Event

1×	node limit

Counts

17 → 567

Calls

Call 1

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

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

simplify535.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

545×	`fma-neg`
542×	`associate-/r*`
468×	`associate-/l*`
428×	`associate-*r/`
425×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1063	33861
1	2459	32378
2	7943	32375

Stop Event

1×	node limit

Counts

919 → 683

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

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

eval96.0ms (0.8%)

Compiler: Compiled 13215 to 2351 computations (82.2% saved)

prune366.0ms (2.9%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	792	13	805
Fresh	5	5	10
Picked	3	2	5
Done	0	1	1
Total	800	21	821

Accuracy

100.0%

Counts

821 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.9%	(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
	99.2%	(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
	60.0%	(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z) #s(literal 2 binary64))
▶	60.2%	(pow.f64 (.f64 z (sqrt.f64 (.f64 x y))) #s(literal -2 binary64))
	90.6%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) z y))
▶	94.4%	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
	87.0%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
▶	99.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
	52.3%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
	55.4%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))) (sqrt.f64 y))
✓	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	86.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	55.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶	52.3%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)))
	57.7%	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
	49.7%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
✓	55.6%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
	45.7%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 2 binary64)))))
	89.7%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y x)))
	55.5%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
	91.2%	(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) z)) (sqrt.f64 y)) #s(literal 2 binary64)))

Compiler

Compiled 515 to 351 computations (31.8% saved)

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	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) (hypot.f64 #s(literal 1 binary64) z))
✓	cost-diff	6528	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(sqrt.f64 (*.f64 x y))
✓	cost-diff	0	(.f64 z (sqrt.f64 (.f64 x y)))
✓	cost-diff	0	(pow.f64 (.f64 z (sqrt.f64 (.f64 x y))) #s(literal -2 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 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	cost-diff	0	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓	cost-diff	19456	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))

Rules

216×	`associate-/r*`
140×	`fma-define`
139×	`associate-r`
83×	`associate-l`
50×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	558
1	61	540
2	131	504
3	245	504
4	410	504
5	740	504
6	908	504
7	922	504
8	922	504

Stop Event

1×

saturated

Calls

Call 1

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

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

localize171.0ms (1.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	99.5%	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
✓	accuracy	95.1%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (hypot.f64 #s(literal 1 binary64) z))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(.f64 z (sqrt.f64 (.f64 x y)))
✓	accuracy	99.5%	(pow.f64 (.f64 z (sqrt.f64 (.f64 x y))) #s(literal -2 binary64))
✓	accuracy	77.9%	(sqrt.f64 (*.f64 x y))
	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)))
✓	accuracy	77.7%	(.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	accuracy	100.0%	(sqrt.f64 y)
	accuracy	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓	accuracy	99.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓	accuracy	93.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))

Results

77.0ms

256×

valid

Compiler

Compiled 149 to 23 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 11.0ms (31.5% of total)

ival-pow: 8.0ms (22.9% of total)

ival-mult: 7.0ms (20% of total)

ival-hypot: 5.0ms (14.3% of total)

ival-sqrt: 4.0ms (11.5% of total)

const: 1.0ms (2.9% of total)

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

series50.0ms (0.4%)

Counts

10 → 320

Calls

Call 1

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

Calls

84 calls:

Time	Variable		Point	Expression
10.0ms	z	@	0	(* z (sqrt (* x y)))
3.0ms	y	@	-inf	(/ (/ 1 x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
1.0ms	x	@	-inf	(pow (* z (sqrt (* x y))) -2)
1.0ms	y	@	0	(/ (/ 1 x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y)))
1.0ms	y	@	-inf	(pow (* z (sqrt (* x y))) -2)

rewrite281.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`log1p-expm1-u`
197×	`expm1-log1p-u`
196×	`add-exp-log`
195×	`prod-diff`
193×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	362
1	455	298
2	6674	298

Stop Event

1×	node limit

Counts

10 → 422

Calls

Call 1

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

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

simplify628.0ms (5%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-*r/`
453×	`associate-*l/`
408×	`*-commutative`
377×	`cube-prod`
349×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	795	32905
1	2035	31157
2	6891	31155

Stop Event

1×	node limit

Counts

742 → 512

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

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

eval109.0ms (0.9%)

Compiler: Compiled 16581 to 2373 computations (85.7% saved)

prune553.0ms (4.4%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	861	6	867
Fresh	8	5	13
Picked	2	3	5
Done	0	3	3
Total	871	17	888

Accuracy

100.0%

Counts

888 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.2%	(pow.f64 (.f64 z (sqrt.f64 (.f64 x y))) #s(literal -2 binary64))
	90.6%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) z y))
	55.3%	(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
	50.4%	(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)
✓	94.4%	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
▶	87.0%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
▶	60.6%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) z)) (hypot.f64 #s(literal 1 binary64) z))
	58.0%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z))) (hypot.f64 #s(literal 1 binary64) z))
✓	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	86.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	55.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶	52.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 x y)))
	57.7%	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
	49.7%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
✓	55.6%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
▶	97.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) z)))
▶	55.5%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 350 to 232 computations (33.7% saved)

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) z))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) z)) (hypot.f64 #s(literal 1 binary64) z))
	cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
	cost-diff	0	(*.f64 x y)
	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) (*.f64 x y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 x y)))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(hypot.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 (hypot.f64 #s(literal 1 binary64) z) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))
✓	cost-diff	6656	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) z)))

Rules

236×	`times-frac`
153×	`associate-r`
121×	`associate-*r/`
112×	`associate-/r*`
110×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	570
1	73	552
2	161	552
3	381	532
4	814	532
5	1166	532
6	1177	532

Stop Event

1×

saturated

Calls

Call 1

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

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

localize122.0ms (1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) z))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) z)) (hypot.f64 #s(literal 1 binary64) z))
✓	accuracy	90.3%	(.f64 (.f64 x y) z)
	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	95.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64)))
✓	accuracy	91.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal 1 binary64))) x)
	accuracy	100.0%	(*.f64 z z)
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 x y)))
✓	accuracy	77.7%	(.f64 (.f64 z z) (*.f64 x y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 (hypot.f64 #s(literal 1 binary64) z) x)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) z))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) x))
✓	accuracy	97.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) z)))

Results

85.0ms

256×

valid

Compiler

Compiled 152 to 23 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 16.0ms (41.3% of total)

ival-div: 15.0ms (38.7% of total)

ival-hypot: 5.0ms (12.9% of total)

ival-fma: 3.0ms (7.7% of total)

const: 0.0ms (0% of total)

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

series44.0ms (0.4%)

Counts

14 → 384

Calls

Call 1

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

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

Calls

99 calls:

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

rewrite300.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

236×	`frac-times`
229×	`associate-r`
220×	`add-exp-log`
220×	`log1p-expm1-u`
220×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	391
1	505	365
2	7645	365

Stop Event

1×	node limit

Counts

14 → 518

Calls

Call 1

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

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

simplify325.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

716×	`associate-/r*`
404×	`associate-/l/`
291×	`fma-define`
275×	`*-commutative`
158×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1231	34961
1	3069	34287

Stop Event

1×	node limit

Counts

902 → 836

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

eval144.0ms (1.1%)

Compiler: Compiled 20091 to 3129 computations (84.4% saved)

prune244.0ms (1.9%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1116	9	1125
Fresh	4	2	6
Picked	4	1	5
Done	2	4	6
Total	1126	16	1142

Accuracy

100.0%

Counts

1142 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.3%	(/.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) y)
	53.1%	(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y))
	30.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) z)
	60.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) z)) z)
	56.0%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y z))
	55.5%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	86.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	55.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	60.4%	(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z))
	57.7%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (.f64 x (*.f64 y z))))
✓	52.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 x y)))
	49.7%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
✓	55.6%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
	33.1%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z)))
	57.4%	(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y z))))

Compiler

Compiled 650 to 248 computations (61.8% saved)

regimes115.0ms (0.9%)

Counts

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

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

Calls

8 calls:

18.0ms	(*.f64 z z)
15.0ms	z
14.0ms	y
14.0ms	x
14.0ms	(.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)

regimes208.0ms (1.6%)

Counts

45 → 1

Calls

Call 1

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

58.0ms	(*.f64 z z)
17.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
16.0ms	z
15.0ms	(/.f64 #s(literal 1 binary64) x)
14.0ms	y

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
99.2%	1	`(/.f64 #s(literal 1 binary64) x)`
99.2%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.2%	1	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes125.0ms (1%)

Counts

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

Outputs

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

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

Calls

8 calls:

27.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
17.0ms	y
15.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
14.0ms	(/.f64 #s(literal 1 binary64) x)
13.0ms	z

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes88.0ms (0.7%)

Counts

36 → 2

Calls

Call 1

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

Calls

8 calls:

12.0ms	y
11.0ms	z
11.0ms	(/.f64 #s(literal 1 binary64) x)
11.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
11.0ms	x

Results

Accuracy	Segments	Branch
94.4%	1	`x`
99.2%	2	`z`
94.4%	1	`(/.f64 #s(literal 1 binary64) x)`
98.8%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.2%	2	`(*.f64 z z)`
94.4%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.6%	2	`y`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes31.0ms (0.2%)

Counts

18 → 3

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

Outputs

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

(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
90.8%	2	`y`
96.7%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.6%	3	`z`
99.6%	3	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.6%	3	`(*.f64 z z)`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes15.0ms (0.1%)

Counts

12 → 3

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

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 (*.f64 z z))))

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

Calls

3 calls:

6.0ms	z
4.0ms	(*.f64 z z)
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.3%	3	`z`
99.3%	3	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.3%	3	`(*.f64 z z)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Counts

11 → 3

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	3	`z`
98.6%	3	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Counts

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

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

Calls

5 calls:

6.0ms	(*.f64 z z)
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
61.4%	4	`y`
59.0%	2	`x`
59.0%	2	`(/.f64 #s(literal 1 binary64) x)`
89.7%	2	`z`
89.7%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
70.7%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.3b remaining (-1.1%)

Threshold costs -0.3b (-1.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.6%	1	`y`
55.6%	1	`x`
55.6%	1	`(/.f64 #s(literal 1 binary64) x)`
55.6%	1	`z`

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch4.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	4.314103800212839e-17	1.857088852339143e-13

Results

3.0ms

16×

valid

Compiler

Compiled 56 to 35 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.0984380269421354e+294	+inf

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.0984380269421354e+294	+inf
0.0ms	1778335310337656000.0	2.601635101723391e+26

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.0984380269421354e+294	+inf
0.0ms	27264185863579.832	1778335310337656000.0

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.0984380269421354e+294	+inf
0.0ms	0.004270513183718921	12.770777510423121

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004270513183718921	12.770777510423121

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.06534916360382068	3.5736224633308877

Results

7.0ms

112×

valid

Compiler

Compiled 160 to 119 computations (25.6% saved)

Precisions

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

ival-div: 2.0ms (51.2% of total)

ival-mult: 2.0ms (51.2% of total)

ival-add: 1.0ms (25.6% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	922
1	96	922

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(if (<=.f64 y #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (*.f64 y z)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y z))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (*.f64 y z))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (*.f64 y z))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z))))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

Outputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(if (<=.f64 y #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
(if (<=.f64 y #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (hypot.f64 #s(literal 1 binary64) z)) (hypot.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (*.f64 y z)))
(if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (*.f64 z y)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 z y))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (*.f64 y z))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (*.f64 z y))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (*.f64 y z))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (.f64 z z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (*.f64 z y))))
(if (<=.f64 (.f64 z z) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z))))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z y))))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))

soundness3.5s (27.8%)

Rules

1198×	`fma-define`
858×	`fma-neg`
844×	`log1p-expm1-u`
844×	`expm1-log1p-u`
760×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	795	32905
1	2035	31157
2	6891	31155
0	1063	33861
1	2459	32378
2	7943	32375
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	1231	34961
1	3069	34287
0	635	28137
1	1420	27769
2	4758	27686
0	23	294
1	365	294
2	4295	294
0	29	362
1	455	298
2	6674	298
0	37	394
1	573	372
2	7522	372
0	29	391
1	505	365
2	7645	365

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
1×	node limit
1×	node limit

Compiler

Compiled 2505 to 602 computations (76% saved)

preprocess334.0ms (2.6%)

Remove: (abs z)
Compiler: Compiled 1610 to 666 computations (58.6% saved)

Iter	Nodes	Cost
0	29	558
1	61	540
2	131	504
3	245	504
4	410	504
5	740	504
6	908	504
7	922	504
8	922	504

Iter	Nodes	Cost
0	29	558
1	61	540
2	131	504
3	245	504
4	410	504
5	740	504
6	908	504
7	922	504
8	922	504

analyze73.0ms (0.6%)

sample1.4s (10.8%)

preprocess240.0ms (1.9%)

explain170.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.1%)

localize102.0ms (0.8%)

series36.0ms (0.3%)

rewrite598.0ms (4.7%)

simplify429.0ms (3.4%)

eval57.0ms (0.5%)

prune166.0ms (1.3%)

simplify50.0ms (0.4%)

localize321.0ms (2.5%)

series58.0ms (0.5%)

rewrite404.0ms (3.2%)

simplify535.0ms (4.2%)

eval96.0ms (0.8%)

prune366.0ms (2.9%)

simplify41.0ms (0.3%)

localize171.0ms (1.4%)

series50.0ms (0.4%)

rewrite281.0ms (2.2%)

simplify628.0ms (5%)

eval109.0ms (0.9%)

prune553.0ms (4.4%)

simplify42.0ms (0.3%)

localize122.0ms (1%)

series44.0ms (0.4%)

rewrite300.0ms (2.4%)

simplify325.0ms (2.6%)

eval144.0ms (1.1%)

prune244.0ms (1.9%)

regimes115.0ms (0.9%)

regimes208.0ms (1.6%)

regimes125.0ms (1%)

regimes88.0ms (0.7%)

regimes31.0ms (0.2%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes21.0ms (0.2%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

bsearch4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

simplify7.0ms (0.1%)

soundness3.5s (27.8%)

preprocess334.0ms (2.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	29	558
1	61	540
2	131	504
3	245	504
4	410	504
5	740	504
6	908	504
7	922	504
8	922	504