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

analyze74.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 15.0ms (46.2% of total)

ival-div: 11.0ms (33.9% of total)

ival-add: 5.0ms (15.4% of total)

const: 1.0ms (3.1% of total)

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

sample1.5s (13.4%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 742.0ms

ival-mult: 401.0ms (54% of total)

ival-div: 286.0ms (38.5% of total)

ival-add: 43.0ms (5.8% of total)

const: 10.0ms (1.3% of total)

backward-pass: 2.0ms (0.3% of total)

Bogosity

preprocess242.0ms (2.2%)

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)

explain144.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
3	-	-	`(.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

49.0ms

512×

valid

Compiler

Compiled 88 to 29 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 8.0ms (34% of total)

ival-mult: 8.0ms (34% of total)

ival-div: 7.0ms (29.7% of total)

const: 1.0ms (4.2% 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
▶	90.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	92.3%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
▶	94.3%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))

Status

Accuracy

Program

▶

90.9%

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

▶

92.3%

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

▶

94.3%

(/.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)

simplify20.0ms (0.2%)

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

localize78.0ms (0.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	98.8%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	92.0%	(/.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	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y)))
✓	accuracy	92.9%	(.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 x y))
✓	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
✓	accuracy	98.5%	(.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	93.3%	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Results

53.0ms

256×

valid

Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions

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

ival-fma: 11.0ms (36.6% of total)

ival-mult: 11.0ms (36.6% of total)

ival-div: 6.0ms (20% of total)

ival-add: 1.0ms (3.3% of total)

const: 0.0ms (0% of total)

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

series193.0ms (1.8%)

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
157.0ms	y	@	0	(/ 1 (* y (* x (+ (* z z) 1))))
2.0ms	x	@	-inf	(* x y)
1.0ms	z	@	0	(/ 1 (* y (* x (+ (* z z) 1))))
1.0ms	x	@	0	(/ 1 (* y (* x (+ (* z z) 1))))
1.0ms	y	@	-inf	(/ 1 (* y (* x (+ (* z z) 1))))

rewrite414.0ms (3.8%)

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))

simplify462.0ms (4.2%)

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)))
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(/.f64 #s(literal 1 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 #s(literal 1 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 #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)))))
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.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 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.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))))
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(/.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 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
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(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 z z #s(literal 1 binary64))))
(fma.f64 z z #s(literal 1 binary64))
(exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z z #s(literal 1 binary64))
(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)

prune205.0ms (1.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	458	18	476
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	459	20	479

Accuracy

100.0%

Counts

479 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
	94.7%	(pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 (.f64 x y))) #s(literal -2 binary64))
▶	90.7%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	89.9%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	50.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
	68.0%	(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (.f64 (cbrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
	92.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	90.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 3 binary64)))
✓	90.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	53.6%	(/.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	51.3%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)))
▶	97.6%	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
✓	94.3%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64)))))
	52.1%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 2 binary64)))))
▶	61.1%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
	89.9%	(.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))))))
▶	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
	90.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
	94.5%	(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64)))))

Compiler

Compiled 583 to 385 computations (34% saved)

simplify377.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓	cost-diff	12800	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
✓	cost-diff	12800	(.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
✓	cost-diff	12800	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
	cost-diff	-6272	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
✓	cost-diff	6528	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	cost-diff	12800	(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 z #s(literal 2 binary64))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓	cost-diff	0	(hypot.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓	cost-diff	19584	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize281.0ms (2.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))))
✓	accuracy	99.4%	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64))
✓	accuracy	98.5%	(.f64 y (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #s(literal 2 binary64)))
	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.3%	(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
	accuracy	98.8%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	92.0%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	84.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓	accuracy	99.9%	(*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
✓	accuracy	95.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))

Results

232.0ms

256×

valid

Compiler

Compiled 183 to 30 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-pow: 147.0ms (78.1% of total)

ival-mult: 18.0ms (9.6% of total)

ival-div: 13.0ms (6.9% of total)

ival-hypot: 5.0ms (2.7% of total)

ival-sqrt: 4.0ms (2.1% of total)

ival-add: 1.0ms (0.5% of total)

const: 1.0ms (0.5% of total)

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

series113.0ms (1%)

Counts

17 → 420

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
52.0ms	x	@	-inf	(pow (pow x -1/2) 2)
3.0ms	x	@	0	(/ 1 (* y x))
3.0ms	z	@	0	(* (sqrt (+ (* 1 1) (* z z))) (sqrt y))
2.0ms	y	@	-inf	(* (/ 1 (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))) (/ (/ 1 x) (* (sqrt (+ (* 1 1) (* z z))) (sqrt y))))
2.0ms	z	@	-inf	(* (sqrt (+ (* 1 1) (* z z))) (sqrt x))

rewrite171.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	503
1	591	403

Stop Event

1×	node limit

Counts

17 → 696

Calls

Call 1

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

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

simplify755.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1116 → 959

Calls

Call 1

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

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

eval293.0ms (2.7%)

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

prune335.0ms (3.1%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1268	15	1283
Fresh	11	2	13
Picked	4	1	5
Done	1	1	2
Total	1284	19	1303

Accuracy

100.0%

Counts

1303 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
	92.2%	(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x)
	56.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z)
	92.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
▶	50.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
▶	94.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	90.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
	61.0%	(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	52.1%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 2 binary64)))))
✓	61.1%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
	55.6%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
▶	55.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (.f64 z y)))
	58.9%	(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
	57.4%	(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z))
	55.1%	(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z y)))
	61.1%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 436 to 299 computations (31.4% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

97×	`times-frac`
56×	`fma-define`
55×	`associate-*r/`
46×	`associate-r`
43×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	424
1	55	424
2	114	424
3	235	424
4	434	424
5	558	424
6	567	424

Stop Event

1×

saturated

Calls

Call 1

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

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

localize552.0ms (5.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
✓	accuracy	75.9%	(sqrt.f64 (*.f64 x y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) z)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 z y))
✓	accuracy	96.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (.f64 z y)))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	84.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
✓	accuracy	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
	accuracy	93.3%	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Results

469.0ms

256×

valid

Compiler

Compiled 118 to 21 computations (82.2% saved)

Precisions

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

ival-div: 11.0ms (36.9% of total)

ival-mult: 9.0ms (30.2% of total)

ival-fma: 4.0ms (13.4% of total)

ival-pow: 4.0ms (13.4% of total)

ival-sqrt: 2.0ms (6.7% of total)

const: 0.0ms (0% of total)

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

series84.0ms (0.8%)

Counts

10 → 260

Calls

Call 1

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

Calls

69 calls:

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

rewrite204.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`log1p-expm1-u`
188×	`expm1-log1p-u`
186×	`frac-times`
180×	`add-exp-log`
180×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	243
1	433	231
2	6298	231

Stop Event

1×	node limit

Counts

10 → 432

Calls

Call 1

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

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

simplify387.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

499×	`times-frac`
498×	`associate-*r/`
450×	`fma-neg`
439×	`associate-r`
401×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	843	22574
1	2048	21798
2	7341	21796

Stop Event

1×	node limit

Counts

692 → 506

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

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

eval101.0ms (0.9%)

Compiler: Compiled 10768 to 1937 computations (82% saved)

prune123.0ms (1.1%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	765	6	771
Fresh	7	5	12
Picked	0	5	5
Done	0	2	2
Total	772	18	790

Accuracy

100.0%

Counts

790 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.7%	(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal -4 binary64))
✓	61.0%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
	92.2%	(/.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) #s(literal -2 binary64)) x)
▶	55.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z) y)
	55.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x z))
▶	92.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
✓	50.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
✓	94.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
▶	55.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z y))) z)
▶	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	90.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	49.5%	(/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 z (neg.f64 y)) z))
▶	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
	55.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 x z)))
✓	61.1%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓	55.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (.f64 z y)))
	61.1%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 328 to 227 computations (30.8% saved)

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

181×	`times-frac`
90×	`fma-define`
62×	`associate-/r*`
57×	`associate-l`
53×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	414
1	56	408
2	99	408
3	169	408
4	308	408
5	576	408
6	768	408
7	772	408

Stop Event

1×

saturated

Calls

Call 1

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

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

localize99.0ms (0.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	accuracy	89.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z) y)
	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 z y)))
✓	accuracy	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z y))) z)
✓	accuracy	92.8%	(.f64 x (.f64 z y))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
	accuracy	100.0%	(fma.f64 z z #s(literal 1 binary64))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	92.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))

Results

73.0ms

256×

valid

Compiler

Compiled 115 to 21 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 21.0ms (67.2% of total)

ival-mult: 7.0ms (22.4% of total)

ival-fma: 3.0ms (9.6% of total)

const: 0.0ms (0% of total)

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

series37.0ms (0.3%)

Counts

12 → 276

Calls

Call 1

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

Calls

84 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/ 1 (* x (* z y)))
3.0ms	y	@	0	(/ (/ (/ 1 x) y) (+ (* z z) 1))
3.0ms	y	@	inf	(* x (* z y))
1.0ms	y	@	0	(/ 1 (* x (* z y)))
1.0ms	x	@	0	(/ (/ 1 (* x z)) z)

rewrite236.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log1p-expm1-u`
268×	`frac-times`
186×	`add-exp-log`
186×	`expm1-log1p-u`
185×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	290
1	462	275
2	6727	275

Stop Event

1×	node limit

Counts

12 → 559

Calls

Call 1

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

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

simplify424.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

683×	`associate-*l/`
594×	`associate-r`
443×	`associate-l`
397×	`*-commutative`
373×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	914	27691
1	2146	26473

Stop Event

1×	node limit

Counts

835 → 592

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

eval93.0ms (0.8%)

Compiler: Compiled 10450 to 2107 computations (79.8% saved)

prune120.0ms (1.1%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	759	2	761
Fresh	1	5	6
Picked	1	4	5
Done	0	7	7
Total	761	18	779

Accuracy

100.0%

Counts

779 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.7%	(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal -4 binary64))
✓	61.0%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal -2 binary64))
	61.0%	(/.f64 (pow.f64 (sqrt.f64 y) #s(literal -2 binary64)) x)
✓	55.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z) y)
	55.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x z))
	55.2%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) z)
✓	92.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 z z #s(literal 1 binary64)))
✓	50.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 z z))
✓	94.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
✓	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	90.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	49.5%	(/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 z (neg.f64 y)) z))
✓	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
	55.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 x z)))
✓	61.1%	(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓	55.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (.f64 z y)))
	61.1%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 667 to 267 computations (60% saved)

regimes119.0ms (1.1%)

Counts

44 → 1

Calls

Call 1

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

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

Calls

8 calls:

24.0ms	(/.f64 #s(literal 1 binary64) x)
14.0ms	z
14.0ms	x
14.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
13.0ms	y

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)

regimes104.0ms (1%)

Counts

41 → 1

Calls

Call 1

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

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:

16.0ms	x
15.0ms	(/.f64 #s(literal 1 binary64) x)
13.0ms	y
13.0ms	z
12.0ms	(*.f64 z z)

Results

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

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes102.0ms (0.9%)

Counts

40 → 2

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.7%	2	`z`
99.7%	2	`(*.f64 z z)`
97.6%	1	`x`
97.6%	1	`y`
97.6%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
97.6%	1	`(/.f64 #s(literal 1 binary64) x)`
99.6%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes31.0ms (0.3%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	z
7.0ms	(*.f64 z z)
7.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
6.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.3%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.4%	2	`z`
99.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.4%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes28.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.3%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.6%	2	`z`
98.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.6%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes65.0ms (0.6%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(*.f64 z z)
6.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	y
5.0ms	z

Results

Accuracy	Segments	Branch
97.7%	2	`z`
97.7%	2	`(*.f64 z z)`
70.2%	4	`(/.f64 #s(literal 1 binary64) x)`
70.2%	4	`x`
70.5%	2	`y`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes13.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
97.3%	2	`z`
97.3%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.3%	2	`z`
97.3%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
61.2%	1	`x`
61.2%	1	`(/.f64 #s(literal 1 binary64) x)`
61.2%	1	`y`
61.2%	1	`z`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
61.1%	1	`z`
61.1%	1	`y`
61.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.528974868035254e+253	1.5840231146411728e+258

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.528974868035254e+253	1.5840231146411728e+258

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.535667044116322e+307	+inf

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.02532619940514461	82.63742619868295

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.02532619940514461	82.63742619868295

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.02532619940514461	82.63742619868295

Compiler

Compiled 20 to 14 computations (30% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	701
1	77	701

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x z)))
(if (<=.f64 (.f64 z z) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (.f64 x z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)) z))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (.f64 x z)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 x z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) z) (sqrt.f64 y))) #s(literal 2 binary64))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x z)))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 z x)))
(if (<=.f64 (.f64 z z) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (.f64 x z)))
(if (<=.f64 (.f64 z z) #s(literal 49999999999999996817935346888379588682128536637850367824197203616790781390263537744466934972934737889905175913047028462275753320826571678718861312047100027800908598513606192840644312187019991381769159869603315753887179791468998581205839848470245141381120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (fma.f64 z z #s(literal 1 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (.f64 z x)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)) z))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) z))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)) z))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z x)) z))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (.f64 x z)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (.f64 z x)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) (.f64 z y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness2.1s (19.4%)

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1296	47279
1	3271	45636
2	7298	45633
0	36	503
1	591	403
0	635	28137
1	1420	27769
2	4758	27686
0	23	294
1	365	294
2	4295	294
0	42	485
1	140	429
2	374	429
3	1232	429
4	2991	429
5	5316	429
6	6626	429
7	6877	429
8	6986	429
9	6999	429
10	7500	429
11	7804	429
0	28	243
1	433	231
2	6298	231

Stop Event

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

Compiler

Compiled 1696 to 443 computations (73.9% saved)

preprocess105.0ms (1%)

Remove: (abs z)
Compiler: Compiled 1352 to 634 computations (53.1% saved)

analyze74.0ms (0.7%)

sample1.5s (13.4%)

preprocess242.0ms (2.2%)

explain144.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize78.0ms (0.7%)

series193.0ms (1.8%)

rewrite414.0ms (3.8%)

simplify462.0ms (4.2%)

eval57.0ms (0.5%)

prune205.0ms (1.9%)

simplify377.0ms (3.5%)

localize281.0ms (2.6%)

series113.0ms (1%)

rewrite171.0ms (1.6%)

simplify755.0ms (6.9%)

eval293.0ms (2.7%)

prune335.0ms (3.1%)

simplify26.0ms (0.2%)

localize552.0ms (5.1%)

series84.0ms (0.8%)

rewrite204.0ms (1.9%)

simplify387.0ms (3.5%)

eval101.0ms (0.9%)

prune123.0ms (1.1%)

simplify31.0ms (0.3%)

localize99.0ms (0.9%)

series37.0ms (0.3%)

rewrite236.0ms (2.2%)

simplify424.0ms (3.9%)

eval93.0ms (0.8%)

prune120.0ms (1.1%)

regimes119.0ms (1.1%)

regimes104.0ms (1%)

regimes102.0ms (0.9%)

regimes31.0ms (0.3%)

regimes28.0ms (0.3%)

regimes65.0ms (0.6%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness2.1s (19.4%)

preprocess105.0ms (1%)

end0.0ms (0%)

Profiling