Metrics for Diagrams.TwoD.Apollonian:descartes from diagrams-contrib-1.3.0.5

analyze324.0ms (2.2%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
26.2%	25%	70.2%	0.1%	0%	4.7%	0%	9
28.9%	25%	61.4%	0.1%	0%	13.5%	0%	10
31.2%	26.3%	58%	0.1%	0%	15.5%	0%	11
37.2%	28.9%	48.7%	0.1%	0%	22.3%	0%	12

Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 136.0ms (75.5% of total)

ival-add: 23.0ms (12.8% of total)

ival-sqrt: 18.0ms (10% of total)

const: 3.0ms (1.7% of total)

backward-pass: 1.0ms (0.6% of total)

sample2.7s (18.1%)

Results

1.3s	8256×	0	valid
853.0ms	4698×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-mult: 1.1s (63.1% of total)

ival-add: 490.0ms (29.2% of total)

ival-sqrt: 105.0ms (6.3% of total)

const: 18.0ms (1.1% of total)

backward-pass: 5.0ms (0.3% of total)

Bogosity

preprocess218.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

843×	`fma-neg`
694×	`fma-define`
234×	`cancel-sign-sub-inv`
147×	`sub-neg`
102×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	590
1	156	534
2	328	530
3	624	530
4	1291	530
5	1969	530
6	2919	530
7	3283	530
8	3342	530
9	3348	530
10	3348	530

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 x) z)) (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 x z)) (.f64 (neg.f64 y) z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x (neg.f64 z))) (.f64 y (neg.f64 z)))))
(neg.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 x) z)) (.f64 y z)))))
(neg.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 x z)) (.f64 (neg.f64 y) z)))))
(neg.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x (neg.f64 z))) (.f64 y (neg.f64 z))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 y x) (.f64 y z)) (.f64 x z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 z y) (.f64 z x)) (.f64 y x))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x z) (.f64 x y)) (.f64 z y))))

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

Symmetry

(sort x y z)

explain127.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
83	-	2	(-2.047468432647317e-301 4.320848505713943e-189 9.274752134056168e-135)	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
5	-	0	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
3	-	0	-	`(+.f64 (.f64 x y) (.f64 x z))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(*.f64 x z)`
0	-	0	-	`z`

Results

78.0ms

512×

valid

Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions

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

ival-mult: 15.0ms (59.5% of total)

ival-add: 5.0ms (19.8% of total)

ival-sqrt: 4.0ms (15.9% of total)

const: 1.0ms (4% of total)

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

eval1.0ms (0%)

Compiler: Compiled 37 to 20 computations (45.9% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z)))))
▶	69.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
▶	69.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
▶	69.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))

Compiler

Compiled 60 to 39 computations (35% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y (+.f64 x z))
✓	cost-diff	0	(fma.f64 x z (*.f64 y (+.f64 x z)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z)))))
✓	cost-diff	0	(*.f64 z (+.f64 x y))
✓	cost-diff	0	(fma.f64 x y (*.f64 z (+.f64 x y)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 x z))
✓	cost-diff	-6272	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(*.f64 z (+.f64 y x))
✓	cost-diff	0	(*.f64 x y)

Rules

23×	`fma-define`
10×	`*-commutative`
6×	`+-commutative`
4×	`distribute-lft-in`
3×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	719
1	60	719
2	81	719
3	86	719

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))
(+.f64 (.f64 x y) (.f64 z (+.f64 y x)))
(*.f64 x y)
x
y
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x y)
x
y
(*.f64 x z)
z
(*.f64 y z)
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(fma.f64 x y (*.f64 z (+.f64 x y)))
x
y
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z)))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(+.f64 (.f64 x y) (.f64 z (+.f64 y x)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(*.f64 x y)
x
y
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
z
(+.f64 y x)
(+.f64 x y)
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x y)
x
y
(*.f64 x z)
z
(*.f64 y z)
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
x
y
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)

localize156.0ms (1.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y (+.f64 x z))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z)))))
✓	accuracy	100.0%	(fma.f64 x z (*.f64 y (+.f64 x z)))
✓	accuracy	69.6%	(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
✓	accuracy	100.0%	(*.f64 z (+.f64 x y))
✓	accuracy	98.8%	(fma.f64 x y (*.f64 z (+.f64 x y)))
✓	accuracy	69.6%	(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
✓	accuracy	99.0%	(+.f64 (.f64 x y) (.f64 x z))
✓	accuracy	98.4%	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
✓	accuracy	69.6%	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
✓	accuracy	100.0%	(*.f64 z (+.f64 y x))
✓	accuracy	98.4%	(+.f64 (.f64 x y) (.f64 z (+.f64 y x)))
✓	accuracy	69.6%	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))

Results

121.0ms

256×

valid

Compiler

Compiled 187 to 27 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 18.0ms (47% of total)

ival-add: 7.0ms (18.3% of total)

ival-sqrt: 7.0ms (18.3% of total)

ival-fma: 5.0ms (13% of total)

const: 0.0ms (0% of total)

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

series135.0ms (0.9%)

Counts

20 → 570

Calls

Call 1

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

Outputs
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 x z)>
#<alt (+.f64 (.f64 x z) (.f64 y z))>
#<alt (+.f64 (.f64 x z) (.f64 y z))>
#<alt (+.f64 (.f64 x z) (.f64 y z))>
#<alt (*.f64 y z)>
#<alt (.f64 y (+.f64 z (/.f64 (.f64 x z) y)))>
#<alt (.f64 y (+.f64 z (/.f64 (.f64 x z) y)))>
#<alt (.f64 y (+.f64 z (/.f64 (.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (.f64 x z) (.f64 y z))>
#<alt (+.f64 (.f64 x z) (.f64 y z))>
#<alt (+.f64 (.f64 x z) (.f64 y z))>
#<alt (*.f64 x z)>
#<alt (.f64 x (+.f64 z (/.f64 (.f64 y z) x)))>
#<alt (.f64 x (+.f64 z (/.f64 (.f64 y z) x)))>
#<alt (.f64 x (+.f64 z (/.f64 (.f64 y z) x)))>
#<alt (*.f64 x z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt x>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 (.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z))))) (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z))))) (.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z))))) (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (*.f64 y (+.f64 x z))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y (+.f64 x z))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)))))))))))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (*.f64 z (+.f64 x y))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 z (+.f64 (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (*.f64 x y)>
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#<alt (*.f64 x z)>
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#<alt (+.f64 (.f64 x z) (.f64 y (+.f64 x z)))>
#<alt (+.f64 (.f64 x z) (.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (.f64 y (+.f64 x (+.f64 z (/.f64 (.f64 x z) y))))>
#<alt (.f64 y (+.f64 x (+.f64 z (/.f64 (.f64 x z) y))))>
#<alt (.f64 y (+.f64 x (+.f64 z (/.f64 (.f64 x z) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (.f64 x y) (.f64 z (+.f64 x y)))>
#<alt (+.f64 (.f64 x y) (.f64 z (+.f64 x y)))>
#<alt (+.f64 (.f64 x y) (.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (.f64 z (+.f64 x (+.f64 y (/.f64 (.f64 x y) z))))>
#<alt (.f64 z (+.f64 x (+.f64 y (/.f64 (.f64 x y) z))))>
#<alt (.f64 z (+.f64 x (+.f64 y (/.f64 (.f64 x y) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))))))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 (.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
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#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z))))>
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#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z))))) (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
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#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (*.f64 y (+.f64 x z))))>
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#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y (+.f64 x z))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))))))>
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#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (*.f64 z (+.f64 x y))))>
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#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))>
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#<alt (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))))))>
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Calls

168 calls:

Time	Variable		Point	Expression
17.0ms	z	@	-inf	(* y (+ x z))
5.0ms	y	@	0	(* 2 (sqrt (+ (* x y) (* z (+ y x)))))
4.0ms	z	@	-inf	(* 2 (sqrt (+ (* x z) (* y (+ x z)))))
3.0ms	y	@	inf	(* 2 (sqrt (+ (* x y) (* z (+ y x)))))
2.0ms	y	@	-inf	(* 2 (sqrt (+ (* x y) (* z (+ y x)))))

rewrite610.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

929×	`log1p-expm1-u`
199×	`add-cube-cbrt`
199×	`expm1-log1p-u`
195×	`add-exp-log`
195×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	628
1	581	628
2	6624	628

Stop Event

1×	node limit

Counts

20 → 654

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z (+.f64 y x))
(+.f64 y x)
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x z)
(*.f64 y z)
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 x y))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z)))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 x z))
(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))
(+.f64 (.f64 x y) (.f64 z (+.f64 y x)))
(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

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

simplify893.0ms (6%)

Algorithm

1×	egg-herbie

Rules

659×	`distribute-rgt-in`
650×	`distribute-lft-in`
395×	`*-commutative`
275×	`associate-+r+`
194×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1196	88056
1	3438	86057

Stop Event

1×	node limit

Counts

1224 → 738

Calls

Call 1

Inputs
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 x z)
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 y z)
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y z)
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 x z)
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(*.f64 x z)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z)))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 (.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z))))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))
(.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z))))) (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z))))) (.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z))))) (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))))
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(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(exp.f64 (.f64 (log.f64 (fma.f64 x y (.f64 z (+.f64 x y)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 y z)) (.f64 y z))) (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 y z)) (.f64 y z))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) (.f64 z (+.f64 x y)))) (/.f64 (pow.f64 (.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (.f64 x y) (.f64 z (+.f64 x y)))))
(.f64 (fma.f64 x y (.f64 z (+.f64 x y))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 z (+.f64 x y))))
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(.f64 (cbrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y))))) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
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(.f64 (+.f64 (pow.f64 (.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 z (+.f64 x y)) (-.f64 (.f64 z (+.f64 x y)) (.f64 x y))))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 y z)) (*.f64 y z))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (+.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (*.f64 z (+.f64 x y)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))) (pow.f64 (fma.f64 x y (.f64 z (+.f64 x y))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))) (cbrt.f64 (fma.f64 x y (.f64 z (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 2 binary64)) (.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (+.f64 y z))))) (+.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 z (+.f64 x y)) (-.f64 (.f64 z (+.f64 x y)) (.f64 x y)))) (+.f64 (pow.f64 (.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (+.f64 y z)) (.f64 y z)) (-.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 z (+.f64 x y))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 2 binary64)) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 x (+.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 2 binary64)) (.f64 x (.f64 (+.f64 y z) (*.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 z (+.f64 x y)) (-.f64 (.f64 z (+.f64 x y)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (.f64 y (*.f64 z (+.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (.f64 x y) (.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 2 binary64)) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 x (+.f64 y z)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 z (+.f64 x y)) (-.f64 (.f64 z (+.f64 x y)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x (+.f64 y z)) (.f64 y z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x y) (.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x z) #s(literal 3 binary64)) (pow.f64 (.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y (+.f64 x z)) #s(literal 2 binary64)) (.f64 (.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 z (+.f64 x y)) (.f64 x y)))
(/.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y z)) #s(literal 2 binary64))) (-.f64 (.f64 y z) (.f64 x (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (pow.f64 (.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (.f64 x z) (.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x y (.f64 z (+.f64 x y)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 x y)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 z x (*.f64 y (+.f64 x z)))
(fma.f64 z y (*.f64 x (+.f64 y z)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 (+.f64 x y) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 z (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (.f64 z (+.f64 x y)) (.f64 x y))
(fma.f64 #s(literal 1 binary64) (.f64 x z) (.f64 y (+.f64 x z)))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 y z)) (.f64 y z))
(fma.f64 #s(literal 1 binary64) (.f64 y z) (.f64 x (+.f64 y z)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x (+.f64 y z))) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64))) (cbrt.f64 (.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 y z)) (*.f64 x (+.f64 y z)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y z))) (sqrt.f64 (.f64 x (+.f64 y z))) (*.f64 y z))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x z)) (sqrt.f64 (.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (sqrt.f64 (.f64 z (+.f64 x y))) (sqrt.f64 (.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (*.f64 x (+.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y))))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (fma.f64 x y (.f64 z (+.f64 x y))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))))
(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))) #s(literal 1 binary64)))

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

eval179.0ms (1.2%)

Compiler: Compiled 20390 to 3635 computations (82.2% saved)

prune133.0ms (0.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	733	19	752
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	736	20	756

Accuracy

83.3%

Counts

756 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
	69.0%	(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))) #s(literal 2 binary64))
	39.4%	(.f64 z (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
▶	32.1%	(.f64 y (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
	69.2%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	35.6%	(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (.f64 z y)) (.f64 (.f64 x (.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))))) #s(literal 1/2 binary64))))
✓	69.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
	69.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
▶	69.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (+.f64 y z) x) (*.f64 y z))))
	35.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
	46.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))))))
	58.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
▶	36.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
	35.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
	36.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
▶	35.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
▶	64.6%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
	51.3%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/2 binary64))))
	64.5%	(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))))

Compiler

Compiled 656 to 445 computations (32.2% saved)

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

75×	`fma-define`
37×	`*-commutative`
36×	`associate-r`
30×	`associate-l`
18×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	1082
1	96	1082
2	176	1082
3	290	1082
4	326	1082

Stop Event

1×

saturated

Calls

Call 1

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

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

localize214.0ms (1.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.8%	(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
✓	accuracy	92.9%	(sqrt.f64 (/.f64 (+.f64 x z) y))
✓	accuracy	89.0%	(.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
✓	accuracy	84.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 z (+.f64 x y))
✓	accuracy	95.9%	(exp.f64 (.f64 (log.f64 (fma.f64 x y (.f64 z (+.f64 x y)))) #s(literal 1/2 binary64)))
✓	accuracy	83.9%	(log.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
✓	accuracy	100.0%	(*.f64 z (+.f64 x y))
✓	accuracy	88.7%	(sqrt.f64 (*.f64 z (+.f64 x y)))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
✓	accuracy	85.8%	(sqrt.f64 (*.f64 x y))
	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (+.f64 y z) x) (*.f64 y z))))
✓	accuracy	100.0%	(*.f64 (+.f64 y z) x)
✓	accuracy	84.3%	(sqrt.f64 (+.f64 (.f64 (+.f64 y z) x) (.f64 y z)))

Results

57.0ms	127×	0	valid
54.0ms	129×	0	invalid

Compiler

Compiled 281 to 38 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 30.0ms (45.5% of total)

ival-sqrt: 9.0ms (13.6% of total)

ival-add: 7.0ms (10.6% of total)

ival-pow: 6.0ms (9.1% of total)

ival-div: 4.0ms (6.1% of total)

ival-log: 4.0ms (6.1% of total)

ival-exp: 3.0ms (4.5% of total)

ival-fma: 3.0ms (4.5% of total)

const: 1.0ms (1.5% of total)

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

series142.0ms (1%)

Counts

21 → 562

Calls

Call 1

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

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

Calls

174 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	(* (log (+ (* x y) (* z (+ x y)))) 1/2)
5.0ms	x	@	-inf	(sqrt (/ 1 (* (pow y 3) (+ x z))))
5.0ms	x	@	-inf	(* 2 (sqrt (* x y)))
2.0ms	z	@	-inf	(exp (* (log (+ (* x y) (* z (+ x y)))) 1/2))
2.0ms	y	@	-inf	(* 2 (sqrt (/ (+ x z) y)))

rewrite205.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`log1p-expm1-u`
301×	`expm1-log1p-u`
299×	`add-exp-log`
299×	`add-cube-cbrt`
297×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	645
1	693	627

Stop Event

1×	node limit

Counts

21 → 467

Calls

Call 1

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

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

simplify680.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

938×	`*-commutative`
495×	`+-commutative`
347×	`fma-define`
297×	`associate-r`
246×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2530	69929
1	7737	69857

Stop Event

1×	node limit

Counts

1029 → 1261

Calls

Call 1

Inputs
(*.f64 x z)
(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x y)
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x y)
(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x z)
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(*.f64 x z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y z))
z
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
y
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (*.f64 y (+.f64 x z))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y (+.f64 x z))))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)))))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)))))))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (*.f64 z (+.f64 x y))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 z (+.f64 (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
(.f64 z (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)))))))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)))))))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z)))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 (.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))
(/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 z x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) z) (.f64 (pow.f64 y #s(literal 3 binary64)) z)) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 x (pow.f64 y #s(literal 3 binary64)))) (-.f64 (.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) (.f64 z (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) z) (.f64 (pow.f64 y #s(literal 3 binary64)) z))) (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (pow.f64 y #s(literal 3 binary64)) z)))
(/.f64 (-.f64 (.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) (.f64 z (pow.f64 y #s(literal 3 binary64))))) (-.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 z (pow.f64 y #s(literal 3 binary64)))))
(pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (cbrt.f64 (+.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 z x)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (+.f64 z x)) (pow.f64 y #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 3 binary64)) (*.f64 z (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))

Outputs
(*.f64 x z)
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 z y))
(*.f64 x y)
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 x (.f64 x (/.f64 z y))))
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 x (.f64 x (/.f64 z y))))
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 x (.f64 x (/.f64 z y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x (/.f64 z y)))))
(*.f64 x y)
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 z y))
(*.f64 x z)
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 x (.f64 x (/.f64 y z))))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 x (.f64 x (/.f64 y z))))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 x (.f64 x (/.f64 y z))))
(*.f64 x z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 (neg.f64 z) (.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x (/.f64 y z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 (neg.f64 z) (.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x (/.f64 y z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 (neg.f64 z) (.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x (/.f64 y z)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
z
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
y
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (*.f64 y (+.f64 x z))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 y (+.f64 x z))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)) (.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x z) #s(literal 3 binary64)))) (.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)) (.f64 y (fma.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x z) #s(literal 3 binary64)))) (pow.f64 (+.f64 x z) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))))) (.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (+.f64 x z)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y (+.f64 x z))))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (.f64 x (*.f64 z (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 x z)))))))
(.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (.f64 x (.f64 z (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 x z))))))))
(.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
(.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 x z) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64)))))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (.f64 x (*.f64 z (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 x z)))))))))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 y (neg.f64 (+.f64 x z)))) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)))))))))
(.f64 (neg.f64 y) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 (+.f64 x z)) y))) (.f64 (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 x z)))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))))))
(.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (neg.f64 (+.f64 x z)) #s(literal 3 binary64)))))) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 (+.f64 x z)) y))) (.f64 (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 x z))))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)))))))))))
(.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (neg.f64 (+.f64 x z)) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 (.f64 x z) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (neg.f64 (+.f64 x z)) #s(literal 5 binary64)))))) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 (+.f64 x z)) y))) (.f64 (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 x z)))))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
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(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(+.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) z) (.f64 (pow.f64 y #s(literal 3 binary64)) x))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(+.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 z (pow.f64 y #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(+.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) (.f64 x (pow.f64 y #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(+.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(+.f64 (.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3 binary64))) (+.f64 x z))
(/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(/.f64 (*.f64 (+.f64 z x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 x z) (/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) z) (.f64 (pow.f64 y #s(literal 3 binary64)) z)) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) (-.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) (.f64 x (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 x (pow.f64 y #s(literal 3 binary64)))) (-.f64 (.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) (.f64 z (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) (-.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) (.f64 x (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) z) (.f64 (pow.f64 y #s(literal 3 binary64)) z))) (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (pow.f64 y #s(literal 3 binary64)) z)))
(/.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z))) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))
(/.f64 (-.f64 (.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 z (pow.f64 y #s(literal 3 binary64))) (.f64 z (pow.f64 y #s(literal 3 binary64))))) (-.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 z (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z))) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))
(pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(pow.f64 (*.f64 y (cbrt.f64 (+.f64 z x))) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(pow.f64 (pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 z x)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x z)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 (+.f64 z x)) (pow.f64 y #s(literal 3 binary64))))
(log.f64 (pow.f64 (exp.f64 (+.f64 x z)) (pow.f64 y #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(exp.f64 (log.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(fma.f64 x (pow.f64 y #s(literal 3 binary64)) (*.f64 z (pow.f64 y #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))

eval302.0ms (2%)

Compiler: Compiled 42138 to 7499 computations (82.2% saved)

prune319.0ms (2.1%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1420	18	1438
Fresh	9	5	14
Picked	3	2	5
Done	1	0	1
Total	1433	25	1458

Accuracy

98.4%

Counts

1458 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.2%	(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
	34.8%	(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))) #s(literal 2 binary64))
	39.4%	(.f64 z (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
	32.8%	(.f64 y (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
	36.7%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
▶	34.9%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	35.6%	(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (.f64 z y)) (.f64 (.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))) #s(literal 1/2 binary64))))
	51.3%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
	1.3%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 y) (sqrt.f64 x)))
▶	67.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (.f64 y z))))
▶	61.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x) (.f64 y z))))
	36.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 z x) (*.f64 y z))))
	58.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
✓	36.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
	35.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
▶	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
	36.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
✓	35.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
	22.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 2 binary64)))))
	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 x y))))
	43.9%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 z y))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))))
	43.3%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (neg.f64 (+.f64 x z))) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (.f64 x (/.f64 z y)) (neg.f64 (+.f64 x z)))))) #s(literal 1/2 binary64))))
	43.0%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (neg.f64 (+.f64 x z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64))))
	28.1%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
	25.7%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))

Compiler

Compiled 740 to 539 computations (27.2% saved)

simplify150.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	6400	(pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) #s(literal 3 binary64))
✓	cost-diff	12928	(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
✓	cost-diff	6528	(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 z y))
✓	cost-diff	256	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
✓	cost-diff	256	(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x)
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(sqrt.f64 (*.f64 z x))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	256	(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	256	(.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)

Rules

2043×	`fma-define`
659×	`cube-prod`
564×	`associate-/l/`
438×	`times-frac`
396×	`swap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	882
1	90	822
2	183	784
3	417	688
4	1080	688
5	2501	688
6	3821	688
7	4322	688
8	4443	688
9	4813	688
10	5176	688
11	7331	688

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (*.f64 z y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z x (.f64 y (+.f64 z x)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z)))
(sqrt.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (.f64 z y)))
(sqrt.f64 (.f64 z (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)))
(sqrt.f64 (*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y)))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z))
(fma.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (.f64 z y))
(.f64 z (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))
(*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y))
(fma.f64 z x (*.f64 y (+.f64 z x)))
(.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)
(.f64 z (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))
(*.f64 (fma.f64 z (/.f64 y z) z) x)
(*.f64 (+.f64 z y) x)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 z (/.f64 y z) z)
(+.f64 z y)
z
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
y
x
(*.f64 y z)
(*.f64 z y)
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z x))
(*.f64 z x)
z
x
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x) (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (*.f64 z y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z x (.f64 y (+.f64 z x)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x) (*.f64 y z)))
(sqrt.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (.f64 z y)))
(sqrt.f64 (.f64 z (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y)))
(sqrt.f64 (*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y)))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(+.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x) (*.f64 y z))
(fma.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x (.f64 z y))
(.f64 z (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))
(*.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y))
(fma.f64 z x (*.f64 y (+.f64 z x)))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x)
(.f64 z (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))
(*.f64 (fma.f64 z (/.f64 y z) z) x)
(*.f64 (+.f64 z y) x)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 z (/.f64 y z) z)
(+.f64 z y)
y
(+.f64 #s(literal 1 binary64) (/.f64 z y))
#s(literal 1 binary64)
(/.f64 z y)
z
x
(*.f64 y z)
(*.f64 z y)
(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 y x) #s(literal 1/2 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 y x))
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
(*.f64 y x)
y
x
#s(literal 1/4 binary64)
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 y x) #s(literal 1/2 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
(pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) #s(literal 3 binary64))
(.f64 #s(literal 8 binary64) (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 3 binary64)))
(.f64 #s(literal 8 binary64) (pow.f64 (.f64 y x) #s(literal 3/2 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 y x) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y x))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
#s(literal 1/3 binary64)

localize207.0ms (1.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
✓	accuracy	99.7%	(pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) #s(literal 3 binary64))
✓	accuracy	85.8%	(sqrt.f64 (*.f64 y x))
✓	accuracy	74.5%	(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.6%	(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	accuracy	85.6%	(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x) (.f64 y z))))
✓	accuracy	100.0%	(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x)
✓	accuracy	96.3%	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
✓	accuracy	84.3%	(sqrt.f64 (+.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x) (*.f64 y z)))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
✓	accuracy	94.0%	(sqrt.f64 (*.f64 z x))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (.f64 y z))))
✓	accuracy	100.0%	(.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)
✓	accuracy	95.8%	(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	84.3%	(sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z)))

Results

98.0ms	129×	0	invalid
55.0ms	127×	0	valid

Compiler

Compiled 234 to 35 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-pow: 22.0ms (33.9% of total)

ival-mult: 20.0ms (30.8% of total)

ival-sqrt: 8.0ms (12.3% of total)

ival-add: 5.0ms (7.7% of total)

ival-div: 4.0ms (6.2% of total)

...c/correct-round.rkt:129:19: 4.0ms (6.2% of total)

const: 1.0ms (1.5% of total)

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

series551.0ms (3.7%)

Counts

23 → 552

Calls

Call 1

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

Outputs
#<alt (*.f64 x y)>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (*.f64 x z)>
#<alt (.f64 z (+.f64 x (/.f64 (.f64 x y) z)))>
#<alt (.f64 z (+.f64 x (/.f64 (.f64 x y) z)))>
#<alt (.f64 z (+.f64 x (/.f64 (.f64 x y) z)))>
#<alt (*.f64 x z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (/.f64 (.f64 x z) y)))>
#<alt (.f64 y (+.f64 x (/.f64 (.f64 x z) y)))>
#<alt (.f64 y (+.f64 x (/.f64 (.f64 x z) y)))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt y>
#<alt (+.f64 y z)>
#<alt (+.f64 y z)>
#<alt (+.f64 y z)>
#<alt z>
#<alt z>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 y z)>
#<alt (+.f64 y z)>
#<alt (+.f64 y z)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 y z)>
#<alt (/.f64 (+.f64 y z) z)>
#<alt (/.f64 (+.f64 y z) z)>
#<alt (/.f64 (+.f64 y z) z)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (/.f64 (.f64 x z) y)))>
#<alt (.f64 y (+.f64 x (/.f64 (.f64 x z) y)))>
#<alt (.f64 y (+.f64 x (/.f64 (.f64 x z) y)))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (+.f64 (.f64 x y) (.f64 x z))>
#<alt (*.f64 x z)>
#<alt (.f64 z (+.f64 x (/.f64 (.f64 x y) z)))>
#<alt (.f64 z (+.f64 x (/.f64 (.f64 x y) z)))>
#<alt (.f64 z (+.f64 x (/.f64 (.f64 x y) z)))>
#<alt (*.f64 x z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt z>
#<alt (+.f64 y z)>
#<alt (+.f64 y z)>
#<alt (+.f64 y z)>
#<alt y>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
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#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)))))))))))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) (sqrt.f64 (/.f64 y z))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 z y))))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))))) (.f64 (sqrt.f64 (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 z y))))))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x))) (.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z y))))) z)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 y (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x))) (.f64 (sqrt.f64 (/.f64 y (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z y))))) z))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 y (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 y (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 5 binary64))))) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x))) (.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z y))))) z)))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z y))))) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 y (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 y (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z y))))) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 y (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 y (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z y))))) z))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>

Calls

156 calls:

Time	Variable		Point	Expression
236.0ms	y	@	-inf	(pow (* y x) 1/4)
40.0ms	y	@	0	(pow (* y x) 1/4)
19.0ms	x	@	0	(pow (* y x) 1/4)
16.0ms	x	@	-inf	(pow (* y x) 1/4)
11.0ms	z	@	-inf	(/ z y)

rewrite267.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

294×	`associate-r`
274×	`log1p-expm1-u`
274×	`expm1-log1p-u`
262×	`add-exp-log`
262×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	643
1	639	619

Stop Event

1×	node limit

Counts

23 → 531

Calls

Call 1

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

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

simplify552.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

546×	`distribute-lft-in`
535×	`distribute-rgt-in`
481×	`*-commutative`
274×	`associate-+r+`
195×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1586	49943
1	4141	47689

Stop Event

1×	node limit

Counts

1083 → 892

Calls

Call 1

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

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

eval282.0ms (1.9%)

Compiler: Compiled 21563 to 4423 computations (79.5% saved)

prune163.0ms (1.1%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	901	11	912
Fresh	4	14	18
Picked	3	2	5
Done	0	2	2
Total	908	29	937

Accuracy

98.4%

Counts

937 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(pow.f64 (.f64 (sqrt.f64 (.f64 x y)) (.f64 (.f64 x y) #s(literal 8 binary64))) #s(literal 1/3 binary64))
	40.6%	(.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))
	39.4%	(.f64 z (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
▶	32.8%	(.f64 y (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
	36.7%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	34.9%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	41.5%	(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
	43.0%	(.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
	35.6%	(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (.f64 z y)) (.f64 (.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))) #s(literal 1/2 binary64))))
	51.3%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
	1.9%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 x)))
▶	67.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (.f64 y z))))
▶	67.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) z)))) x) (*.f64 y z))))
	36.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 z x) (*.f64 y z))))
	58.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
✓	36.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
▶	35.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
	36.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
	34.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
	36.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
✓	35.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
	6.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 x z))))
	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 x y))))
	43.9%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 z y))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))))
	43.3%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (neg.f64 (+.f64 x z))) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (.f64 x (/.f64 z y)) (neg.f64 (+.f64 x z)))))) #s(literal 1/2 binary64))))
	43.0%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (neg.f64 (+.f64 x z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64))))
▶	28.1%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
	3.5%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z x) #s(literal 3/2 binary64))))

Compiler

Compiled 891 to 643 computations (27.8% saved)

simplify253.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))
	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(sqrt.f64 (/.f64 z y))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)))
	cost-diff	0	(*.f64 z (+.f64 y x))
✓	cost-diff	0	(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
✓	cost-diff	128	(*.f64 y (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) z)))
✓	cost-diff	384	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) z))))
✓	cost-diff	384	(.f64 (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) z)))) x)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(sqrt.f64 (*.f64 z y))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 z y))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
✓	cost-diff	384	(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
✓	cost-diff	384	(.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x)

Rules

1336×	`associate-/l/`
1139×	`fma-define`
527×	`*-commutative`
470×	`associate-*r/`
329×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	1170
1	106	1056
2	187	936
3	398	936
4	1161	936
5	3528	936
6	4245	936
7	4805	936
8	4954	936
9	5267	936
10	5483	936
11	5915	936
12	5970	936
13	5970	936
14	5992	936
15	5992	936
16	7638	936

Stop Event

1×	node limit

Calls

Call 1

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

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

localize364.0ms (2.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.1%	(*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))
✓	accuracy	88.7%	(sqrt.f64 (/.f64 z y))
✓	accuracy	85.0%	(/.f64 z (pow.f64 y #s(literal 3 binary64)))
✓	accuracy	77.8%	(sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
	accuracy	100.0%	(*.f64 z (+.f64 y x))
✓	accuracy	99.8%	(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))
✓	accuracy	71.2%	(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)))
✓	accuracy	99.8%	(*.f64 y (/.f64 #s(literal 1 binary64) z))
✓	accuracy	98.7%	(+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) z)))) x) (.f64 y z))
✓	accuracy	95.8%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) z))))
✓	accuracy	77.0%	(sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) z)))) x) (.f64 y z)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	accuracy	77.2%	(sqrt.f64 (*.f64 z y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 z y))
✓	accuracy	98.7%	(+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z))
✓	accuracy	95.8%	(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
✓	accuracy	77.0%	(sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (*.f64 y z)))

Results

207.0ms	190×	0	valid
25.0ms	66×	0	invalid

Compiler

Compiled 314 to 41 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-pow: 93.0ms (50.1% of total)

ival-mult: 65.0ms (35% of total)

ival-sqrt: 9.0ms (4.9% of total)

ival-div: 8.0ms (4.3% of total)

ival-add: 8.0ms (4.3% of total)

ival-cbrt: 2.0ms (1.1% of total)

const: 1.0ms (0.5% of total)

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

series82.0ms (0.6%)

Counts

23 → 572

Calls

Call 1

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

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

Calls

168 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(* 2 (sqrt (/ z y)))
2.0ms	z	@	-inf	(* 2 (cbrt (pow (* z (+ y x)) 3/2)))
2.0ms	x	@	0	(pow (* z (+ y x)) 3/2)
2.0ms	y	@	0	(pow (* z (+ y x)) 3/2)
2.0ms	z	@	inf	(pow (* z (+ y x)) 3/2)

rewrite188.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

261×	`log1p-expm1-u`
261×	`expm1-log1p-u`
257×	`associate-r`
256×	`add-exp-log`
256×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	671
1	771	639

Stop Event

1×	node limit

Counts

23 → 615

Calls

Call 1

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

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

simplify622.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

715×	`distribute-rgt-in`
713×	`distribute-lft-in`
554×	`*-commutative`
204×	`+-commutative`
169×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1641	56653
1	4472	53893

Stop Event

1×	node limit

Counts

1187 → 884

Calls

Call 1

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

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

eval228.0ms (1.5%)

Compiler: Compiled 25357 to 5477 computations (78.4% saved)

prune974.0ms (6.6%)

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	1027	5	1032
Fresh	3	17	20
Picked	1	4	5
Done	0	4	4
Total	1031	30	1061

Accuracy

98.4%

Counts

1061 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(pow.f64 (.f64 (sqrt.f64 (.f64 x y)) (.f64 (.f64 x y) #s(literal 8 binary64))) #s(literal 1/3 binary64))
	40.6%	(.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))
	39.4%	(.f64 z (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
	42.2%	(.f64 y (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (pow.f64 (/.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 y)) #s(literal 3 binary64)))))
✓	32.8%	(.f64 y (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
	35.6%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	34.9%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	41.5%	(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
	43.0%	(.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
	35.6%	(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (.f64 z y)) (.f64 (.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))) #s(literal 1/2 binary64))))
	51.3%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
	50.4%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 y)))
✓	67.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (.f64 y z))))
✓	67.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) z)))) x) (*.f64 y z))))
	36.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 z x) (*.f64 y z))))
	58.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
✓	36.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
✓	35.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
	36.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
	34.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
	36.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
✓	35.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
	6.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 x z))))
	43.9%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 z y))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))))
	43.3%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (neg.f64 (+.f64 x z))) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (.f64 x (/.f64 z y)) (neg.f64 (+.f64 x z)))))) #s(literal 1/2 binary64))))
	43.0%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (neg.f64 (+.f64 x z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64))))
	27.1%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z y) #s(literal 3/2 binary64))))
	3.5%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z x) #s(literal 3/2 binary64))))
	29.6%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 z (+.f64 x y))) #s(literal 3/2 binary64))))

Compiler

Compiled 1240 to 640 computations (48.4% saved)

regimes154.0ms (1%)

Counts

57 → 2

Calls

Call 1

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

Outputs

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

(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))

Calls

6 calls:

57.0ms	x
22.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
18.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
17.0ms	z
17.0ms	y

Results

Accuracy	Segments	Branch
92.8%	3	`x`
95.2%	2	`y`
90.9%	3	`z`
83.5%	2	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
83.5%	2	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
83.5%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes18.0ms (0.1%)

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
96.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes58.0ms (0.4%)

Counts

43 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 z x) (*.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (+.f64 y z) x) (*.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x) (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) z)))) x) (*.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) x) (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 x y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 x z))))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 y) (sqrt.f64 x)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 x)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 y)))
(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z x) #s(literal 3/2 binary64))))
(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z y) #s(literal 3/2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z)))))
(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (.f64 (sqrt.f64 (.f64 x y)) (.f64 (.f64 x y) #s(literal 8 binary64))) #s(literal 1/3 binary64))
(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (.f64 z y)) (.f64 (.f64 x (.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))))) #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (.f64 z y)) (.f64 (.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))) #s(literal 1/2 binary64))))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fabs.f64 (.f64 z (+.f64 x y))) #s(literal 3/2 binary64))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/2 binary64))))
(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z)))))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))

Calls

3 calls:

27.0ms	z
14.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
84.2%	2	`z`
82.7%	2	`x`
85.7%	2	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts

29 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
85.7%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.7%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes42.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

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

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (+.f64 y z) x) (*.f64 y z))))

Calls

6 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
7.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
7.0ms	y
6.0ms	x
6.0ms	z

Results

Accuracy	Segments	Branch
69.4%	1	`x`
69.4%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
69.4%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
69.4%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
69.4%	1	`z`
69.4%	1	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes12.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))

Calls

3 calls:

4.0ms	y
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
69.4%	1	`y`
69.4%	1	`z`
69.4%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
69.5%	2	`y`
65.8%	2	`z`
67.1%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 z x) (*.f64 y z))))

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
69.5%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
68.8%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
68.0%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -20.5b remaining (-49.4%)

Threshold costs -20.5b (-49.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
35.0%	1	`z`
35.0%	1	`x`
35.0%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch46.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	-1.5453330185892727e-277	1.894016611009548e-266

Results

17.0ms	192×	0	valid
13.0ms	173×	0	invalid

Compiler

Compiled 431 to 340 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (65.1% of total)

ival-add: 3.0ms (16.3% of total)

ival-sqrt: 3.0ms (16.3% of total)

const: 1.0ms (5.4% of total)

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

bsearch71.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-1.5453330185892727e-277	1.894016611009548e-266
18.0ms	-1.1826576631950507e+50	-2.9709234994189035e+49

Results

25.0ms	284×	0	invalid
23.0ms	272×	0	valid

Compiler

Compiled 551 to 425 computations (22.9% saved)

Precisions

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

ival-mult: 16.0ms (52.1% of total)

ival-add: 7.0ms (22.8% of total)

ival-sqrt: 7.0ms (22.8% of total)

const: 1.0ms (3.3% of total)

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

bsearch42.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	8.608292654792023e-265	6.047978182340494e-248

Results

14.0ms	182×	0	invalid
14.0ms	160×	0	valid

Compiler

Compiled 303 to 216 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (62.1% of total)

ival-add: 3.0ms (18.6% of total)

ival-sqrt: 3.0ms (18.6% of total)

const: 1.0ms (6.2% of total)

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

bsearch45.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	-1.5453330185892727e-277	1.894016611009548e-266

Results

15.0ms	192×	0	valid
15.0ms	192×	0	invalid

Compiler

Compiled 371 to 280 computations (24.5% saved)

Precisions

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

ival-mult: 11.0ms (59.4% of total)

ival-add: 4.0ms (21.6% of total)

ival-sqrt: 3.0ms (16.2% of total)

const: 0.0ms (0% of total)

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

bsearch49.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-1.5453330185892727e-277	1.894016611009548e-266

Results

17.0ms	207×	0	invalid
15.0ms	192×	0	valid

Compiler

Compiled 347 to 268 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 11.0ms (59.9% of total)

ival-add: 4.0ms (21.8% of total)

ival-sqrt: 3.0ms (16.3% of total)

const: 1.0ms (5.4% of total)

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

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-9.652099162604297e-273	-1.0943653461696372e-276

Results

10.0ms	128×	0	valid
9.0ms	118×	0	invalid

Compiler

Compiled 247 to 184 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (60.9% of total)

ival-add: 2.0ms (17.4% of total)

ival-sqrt: 2.0ms (17.4% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-9.652099162604297e-273	-1.0943653461696372e-276

Results

11.0ms	128×	0	valid
10.0ms	130×	0	invalid

Compiler

Compiled 215 to 160 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (60.4% of total)

ival-add: 3.0ms (22.7% of total)

ival-sqrt: 2.0ms (15.1% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-9.652099162604297e-273	-1.0943653461696372e-276

Results

13.0ms	140×	0	invalid
10.0ms	128×	0	valid

Compiler

Compiled 199 to 152 computations (23.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (68.1% of total)

ival-add: 2.0ms (13.6% of total)

ival-sqrt: 2.0ms (13.6% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-9.652099162604297e-273	-1.0943653461696372e-276

Results

11.0ms	128×	0	invalid
10.0ms	128×	0	valid

Compiler

Compiled 183 to 144 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (63.6% of total)

ival-add: 2.0ms (15.9% of total)

ival-sqrt: 2.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
15×	`+-commutative`
7×	`sub-neg`
7×	`neg-sub0`
6×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	957
1	156	957
2	172	957
3	185	957
4	190	957
5	191	957

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -1696516088923249/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 z y))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal -30000000000000002288930952327566100988489491283968 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (neg.f64 (+.f64 x z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 916872695169187/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal 7557313887629489/125955231460491477573475786427621032361709434041052227527609040505093074454480376118282617542185112928074454067529947442741953744769736656487116570106253523089501067161322852174933318537813768637901361681988522625958449433505907473287200188342818373796829838966784 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 1788272917343109/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 4356494849056005/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (+.f64 y z) x) (*.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -8575876330031999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))))
(if (<=.f64 y #s(literal -5738040889912319/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y)))))
(if (<=.f64 y #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y))))
(if (<=.f64 y #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))

Outputs
(if (<=.f64 y #s(literal -1696516088923249/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 z y))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal -1696516088923249/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (neg.f64 (+.f64 y z))) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal -1696516088923249/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal -30000000000000002288930952327566100988489491283968 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (log.f64 (neg.f64 (+.f64 x z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 916872695169187/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -30000000000000002288930952327566100988489491283968 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (neg.f64 (+.f64 z x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (if (<=.f64 y #s(literal 916872695169187/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -30000000000000002288930952327566100988489491283968 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (-.f64 (neg.f64 x) z)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (if (<=.f64 y #s(literal 916872695169187/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal 7557313887629489/125955231460491477573475786427621032361709434041052227527609040505093074454480376118282617542185112928074454067529947442741953744769736656487116570106253523089501067161322852174933318537813768637901361681988522625958449433505907473287200188342818373796829838966784 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 7557313887629489/125955231460491477573475786427621032361709434041052227527609040505093074454480376118282617542185112928074454067529947442741953744769736656487116570106253523089501067161322852174933318537813768637901361681988522625958449433505907473287200188342818373796829838966784 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 z x))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 1788272917343109/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 4356494849056005/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (+.f64 y z) x) (*.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 y x) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -8575876330031999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))))
(if (<=.f64 y #s(literal -8575876330031999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -5738040889912319/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y)))))
(if (<=.f64 y #s(literal -5738040889912319/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (+.f64 y z) x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y))))
(if (<=.f64 y #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (+.f64 y z) x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(if (<=.f64 y #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y))))
(if (<=.f64 y #s(literal -5488560851220479/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))

soundness1.8s (11.9%)

Rules

938×	`*-commutative`
929×	`log1p-expm1-u`
843×	`fma-neg`
694×	`fma-define`
659×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	671
1	771	639
0	43	645
1	693	627
0	2530	69929
1	7737	69857
0	34	628
1	581	628
2	6624	628
0	57	590
1	156	534
2	328	530
3	624	530
4	1291	530
5	1969	530
6	2919	530
7	3283	530
8	3342	530
9	3348	530
10	3348	530
0	1196	88056
1	3438	86057

Stop Event

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

Compiler

Compiled 1230 to 451 computations (63.3% saved)

preprocess102.0ms (0.7%)

Compiler: Compiled 962 to 458 computations (52.4% saved)

analyze324.0ms (2.2%)

sample2.7s (18.1%)

preprocess218.0ms (1.5%)

explain127.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify13.0ms (0.1%)

localize156.0ms (1.1%)

series135.0ms (0.9%)

rewrite610.0ms (4.1%)

simplify893.0ms (6%)

eval179.0ms (1.2%)

prune133.0ms (0.9%)

simplify32.0ms (0.2%)

localize214.0ms (1.4%)

series142.0ms (1%)

rewrite205.0ms (1.4%)

simplify680.0ms (4.6%)

eval302.0ms (2%)

prune319.0ms (2.1%)

simplify150.0ms (1%)

localize207.0ms (1.4%)

series551.0ms (3.7%)

rewrite267.0ms (1.8%)

simplify552.0ms (3.7%)

eval282.0ms (1.9%)

prune163.0ms (1.1%)

simplify253.0ms (1.7%)

localize364.0ms (2.5%)

series82.0ms (0.6%)

rewrite188.0ms (1.3%)

simplify622.0ms (4.2%)

eval228.0ms (1.5%)

prune974.0ms (6.6%)

regimes154.0ms (1%)

regimes18.0ms (0.1%)

regimes58.0ms (0.4%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes42.0ms (0.3%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch46.0ms (0.3%)

bsearch71.0ms (0.5%)

bsearch42.0ms (0.3%)

bsearch45.0ms (0.3%)

bsearch49.0ms (0.3%)

bsearch30.0ms (0.2%)

bsearch31.0ms (0.2%)

bsearch34.0ms (0.2%)

bsearch33.0ms (0.2%)

simplify21.0ms (0.1%)

soundness1.8s (11.9%)

preprocess102.0ms (0.7%)

end0.0ms (0%)

Profiling