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

analyze599.0ms (1.8%)

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: 260.0ms

ival-mult: 153.0ms (58.9% of total)

ival-add: 56.0ms (21.6% of total)

ival-sqrt: 44.0ms (16.9% of total)

const: 6.0ms (2.3% of total)

backward-pass: 1.0ms (0.4% of total)

sample5.6s (16.4%)

Results

2.8s	8255×	0	valid
1.6s	4560×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-mult: 2.3s (66.4% of total)

ival-add: 900.0ms (26.2% of total)

ival-sqrt: 217.0ms (6.3% of total)

const: 30.0ms (0.9% of total)

backward-pass: 5.0ms (0.1% of total)

Bogosity

preprocess407.0ms (1.2%)

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)

explain238.0ms (0.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
70	-	1	(-2.317363168204892e-116 -2.38158063441166e-202 7.807336964012921e-259)	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
3	-	0	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
1	-	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

140.0ms	510×	0	valid
1.0ms	2×	1	valid

Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions

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

ival-mult: 43.0ms (66.3% of total)

ival-add: 11.0ms (17% of total)

ival-sqrt: 9.0ms (13.9% of total)

const: 1.0ms (1.5% of total)

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

eval70.0ms (0.2%)

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

prune5.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z)))))
▶	74.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))
▶	74.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
▶	74.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))

Compiler

Compiled 60 to 39 computations (35% saved)

simplify30.0ms (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)

localize622.0ms (1.8%)

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	74.3%	(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	99.6%	(fma.f64 x y (*.f64 z (+.f64 x y)))
✓	accuracy	74.3%	(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	99.7%	(+.f64 (.f64 x y) (.f64 x z))
✓	accuracy	99.1%	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
✓	accuracy	74.3%	(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	99.7%	(+.f64 (.f64 x y) (.f64 z (+.f64 y x)))
✓	accuracy	74.3%	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))

Results

319.0ms	255×	0	valid
2.0ms	1×	1	valid

Compiler

Compiled 187 to 27 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 51.0ms (49.4% of total)

ival-add: 18.0ms (17.4% of total)

ival-sqrt: 18.0ms (17.4% of total)

ival-fma: 14.0ms (13.6% of total)

const: 1.0ms (1% of total)

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

series369.0ms (1.1%)

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

168 calls:

Time	Variable		Point	Expression
84.0ms	z	@	-inf	(* 2 (sqrt (+ (* x y) (* z (+ x y)))))
13.0ms	z	@	-inf	(* 2 (sqrt (+ (* x z) (* y (+ x z)))))
7.0ms	y	@	inf	(* 2 (sqrt (+ (* x y) (* z (+ y x)))))
6.0ms	y	@	-inf	(* 2 (sqrt (+ (* x y) (* z (+ y x)))))
5.0ms	x	@	-inf	(* 2 (sqrt (+ (* x y) (* z (+ y x)))))

rewrite1.3s (3.9%)

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)))

simplify2.6s (7.7%)

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

eval532.0ms (1.6%)

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

prune351.0ms (1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	734	18	752
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	738	18	756

Accuracy

85.1%

Counts

756 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(.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)))))))
	31.3%	(.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)))))))
	73.8%	(.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)))
	73.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
▶	74.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (+.f64 y z) x) (*.f64 y z))))
▶	47.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x))))))
	73.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
	73.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.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))))))))
	60.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
▶	37.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
	36.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
	4.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
	55.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x))))))
	40.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
▶	39.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
	69.2%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
▶	54.2%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/2 binary64))))
	69.3%	(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (.f64 z (+.f64 x y)))))))

Compiler

Compiled 632 to 408 computations (35.4% saved)

simplify157.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6912	(+.f64 (.f64 x y) (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x))))
✓	cost-diff	6912	(sqrt.f64 (+.f64 (.f64 x y) (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x)))))
✓	cost-diff	6912	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x))))))
✓	cost-diff	13184	(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x)))
✓	cost-diff	0	(fma.f64 z (+.f64 x y) (*.f64 x y))
✓	cost-diff	0	(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/2 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

876×	`fma-define`
834×	`times-frac`
726×	`unsub-neg`
451×	`fma-neg`
338×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	817
1	69	817
2	109	817
3	208	817
4	502	817
5	1315	817
6	4346	817

Stop Event

1×	node limit

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

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

localize386.0ms (1.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 x y) (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x))))
✓	accuracy	96.2%	(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	86.7%	(sqrt.f64 (+.f64 (.f64 x y) (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x)))))
✓	accuracy	77.1%	(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 z (-.f64 y x)))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/2 binary64))))
✓	accuracy	100.0%	(fma.f64 z (+.f64 x y) (*.f64 x y))
✓	accuracy	99.9%	(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))
✓	accuracy	74.8%	(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)))
✓	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	91.5%	(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	85.9%	(sqrt.f64 (*.f64 x y))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (+.f64 y z) x) (*.f64 y z))))
✓	accuracy	100.0%	(+.f64 (.f64 (+.f64 y z) x) (.f64 y z))
✓	accuracy	100.0%	(*.f64 (+.f64 y z) x)
✓	accuracy	86.7%	(sqrt.f64 (+.f64 (.f64 (+.f64 y z) x) (.f64 y z)))

Results

158.0ms	143×	0	valid
113.0ms	113×	0	invalid

Compiler

Compiled 241 to 32 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 44.0ms (32.8% of total)

ival-pow: 33.0ms (24.6% of total)

ival-sqrt: 17.0ms (12.7% of total)

ival-add: 16.0ms (11.9% of total)

ival-fma: 7.0ms (5.2% of total)

ival-sub: 7.0ms (5.2% of total)

ival-div: 6.0ms (4.5% of total)

ival-cbrt: 3.0ms (2.2% of total)

const: 1.0ms (0.7% of total)

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

series498.0ms (1.5%)

Counts

20 → 585

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

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

Calls

165 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(pow (+ (* z (+ x y)) (* x y)) 3/2)
13.0ms	z	@	0	(pow (+ (* z (+ x y)) (* x y)) 3/2)
9.0ms	z	@	inf	(* 2 (sqrt (+ (* x y) (* (- (pow y 2) (pow x 2)) (/ z (- y x))))))
8.0ms	y	@	-inf	(pow (+ (* z (+ x y)) (* x y)) 3/2)
8.0ms	x	@	-inf	(pow (+ (* z (+ x y)) (* x y)) 3/2)

rewrite374.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`log1p-expm1-u`
301×	`expm1-log1p-u`
291×	`add-exp-log`
291×	`add-cube-cbrt`
290×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	755
1	664	743

Stop Event

1×	node limit

Counts

20 → 465

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

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

simplify1.8s (5.2%)

Algorithm

1×	egg-herbie

Rules

855×	`*-commutative`
370×	`+-commutative`
322×	`associate-r`
275×	`times-frac`
242×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2301	4295048823
1	6973	4295047344

Stop Event

1×	node limit

Counts

1050 → 1239

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

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

eval523.0ms (1.5%)

Compiler: Compiled 42703 to 6443 computations (84.9% saved)

prune1.3s (3.8%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1326	24	1350
Fresh	9	4	13
Picked	4	1	5
Done	0	0	0
Total	1339	29	1368

Accuracy

87.4%

Counts

1368 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.1%	(.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
	38.5%	(.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
	32.2%	(.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)))))))
	39.1%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	48.2%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
	1.4%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 y) (sqrt.f64 x)))
	37.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y x))) #s(literal 3 binary64))))
	38.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 3 binary64))))
▶	73.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64)) x) (*.f64 y z))))
	54.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x) (*.f64 y z))))
	71.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (.f64 y z))))
	37.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 z x) (*.f64 y z))))
	47.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 z (-.f64 y x))))))
	60.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
▶	36.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
	37.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (fabs.f64 (+.f64 x y)))))
	36.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
▶	4.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
	18.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
	40.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
✓	39.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
	40.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 x y))))
▶	35.2%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
	36.8%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
	28.7%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
▶	28.0%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
	37.8%	(sqrt.f64 (.f64 z (.f64 (+.f64 x y) #s(literal 4 binary64))))
	36.0%	(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64)))))
	37.0%	(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))))

Compiler

Compiled 845 to 607 computations (28.2% saved)

simplify539.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (*.f64 z (+.f64 y x)))
✓	cost-diff	0	(.f64 (log.f64 (.f64 z (+.f64 y x))) #s(literal 1/2 binary64))
✓	cost-diff	6528	(exp.f64 (.f64 (log.f64 (.f64 z (+.f64 y x))) #s(literal 1/2 binary64)))
✓	cost-diff	6528	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 3/2 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
✓	cost-diff	256	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	cost-diff	256	(.f64 z (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
✓	cost-diff	256	(sqrt.f64 (.f64 z (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	cost-diff	256	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 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	6592	(sqrt.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64)) x) (.f64 y z)))
✓	cost-diff	6592	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64)) x) (*.f64 y z))))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64))
✓	cost-diff	12864	(*.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64)) x)

Rules

1045×	`fma-define`
873×	`distribute-lft-in`
841×	`distribute-rgt-in`
645×	`associate-/l/`
459×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	794
1	83	794
2	134	786
3	265	674
4	431	674
5	680	674
6	1280	674
7	2888	674
8	3872	674
9	4547	674
10	4828	674
11	4911	674
12	4952	674
13	5591	674
14	5646	674
15	7373	674

Stop Event

1×	node limit

Calls

Call 1

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

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

localize543.0ms (1.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
	accuracy	100.0%	(*.f64 z (+.f64 y x))
✓	accuracy	95.6%	(exp.f64 (.f64 (log.f64 (.f64 z (+.f64 y x))) #s(literal 1/2 binary64)))
✓	accuracy	91.5%	(log.f64 (*.f64 z (+.f64 y x)))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
✓	accuracy	99.8%	(pow.f64 (*.f64 y x) #s(literal 3/2 binary64))
✓	accuracy	75.1%	(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
✓	accuracy	100.0%	(.f64 z (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
✓	accuracy	98.5%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	accuracy	91.5%	(sqrt.f64 (.f64 z (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
✓	accuracy	95.1%	(sqrt.f64 (*.f64 z x))
✓	accuracy	100.0%	(*.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64)) x)
✓	accuracy	99.6%	(cbrt.f64 (+.f64 y z))
✓	accuracy	99.3%	(pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64))
✓	accuracy	86.7%	(sqrt.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64)) x) (.f64 y z)))

Results

273.0ms	113×	0	invalid
158.0ms	142×	0	valid
5.0ms	1×	5	exit

Compiler

Compiled 213 to 36 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 58.0ms (41.8% of total)

ival-pow: 28.0ms (20.2% of total)

ival-sqrt: 13.0ms (9.4% of total)

ival-add: 13.0ms (9.4% of total)

ival-cbrt: 7.0ms (5% of total)

ival-div: 6.0ms (4.3% of total)

ival-log: 6.0ms (4.3% of total)

ival-exp: 5.0ms (3.6% of total)

const: 2.0ms (1.4% of total)

backward-pass: 1.0ms (0.7% of total)

series784.0ms (2.3%)

Counts

20 → 597

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64)) x)>
#<alt (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64))>
#<alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64)) x) (*.f64 y z))))>
#<alt (sqrt.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64)) x) (.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 #s(literal 2 binary64) (sqrt.f64 (.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))))>
#<alt (sqrt.f64 (.f64 z (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (.f64 z (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))>
#<alt (*.f64 y x)>
#<alt (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))>
#<alt (exp.f64 (.f64 (log.f64 (.f64 z (+.f64 y x))) #s(literal 1/2 binary64)))>
#<alt (.f64 (log.f64 (.f64 z (+.f64 y x))) #s(literal 1/2 binary64))>
#<alt (log.f64 (*.f64 z (+.f64 y x)))>
#<alt (cbrt.f64 (+.f64 y 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)>
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#<alt (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y))) y))))>
#<alt (log.f64 (*.f64 y z))>
#<alt (+.f64 (log.f64 (*.f64 y z)) (/.f64 x y))>
#<alt (+.f64 (log.f64 (.f64 y z)) (.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (log.f64 (.f64 y z)) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 z) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (+.f64 (log.f64 z) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))>
#<alt (+.f64 (log.f64 z) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y x)))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 y x)))>
#<alt (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) x))) x))))>
#<alt (cbrt.f64 z)>
#<alt (+.f64 (cbrt.f64 z) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/9 binary64)) y)))>
#<alt (+.f64 (cbrt.f64 z) (.f64 y (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) #s(literal 1/9 binary64)) y)) (.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/9 binary64))))))>
#<alt (+.f64 (cbrt.f64 z) (.f64 y (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/9 binary64))) (.f64 y (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 y (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (.f64 #s(literal 1/27 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (.f64 #s(literal -1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) #s(literal 1/9 binary64))))))))>
#<alt (cbrt.f64 y)>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z))))>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z)))))>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 23 binary64)))) (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (pow.f64 y #s(literal 10 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 (+.f64 (.f64 #s(literal -2/9 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 1/27 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (cbrt.f64 y)>
#<alt (+.f64 (cbrt.f64 y) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64)) z)))>
#<alt (+.f64 (cbrt.f64 y) (.f64 z (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/9 binary64)) z)) (.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64))))))>
#<alt (+.f64 (cbrt.f64 y) (.f64 z (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64))) (.f64 z (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 z (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (.f64 #s(literal 1/27 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))) (.f64 #s(literal -1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/9 binary64))))))))>
#<alt (cbrt.f64 z)>
#<alt (.f64 z (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))))))>
#<alt (.f64 z (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64)))))) (.f64 #s(literal 1/3 binary64) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))))))>
#<alt (.f64 z (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 23 binary64)))) (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64)))))) (.f64 #s(literal 1/3 binary64) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 z) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 z))) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (pow.f64 z #s(literal 3 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 z #s(literal 10 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (+.f64 (.f64 #s(literal -2/9 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 1/27 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 z #s(literal 3 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>

Calls

150 calls:

Time	Variable		Point	Expression
297.0ms	z	@	0	(* (log (* z (+ y x))) 1/2)
117.0ms	y	@	-inf	(* 2 (cbrt (pow (* y x) 3/2)))
102.0ms	z	@	-inf	(* (log (* z (+ y x))) 1/2)
15.0ms	z	@	inf	(* (log (* z (+ y x))) 1/2)
12.0ms	x	@	-inf	(* (log (* z (+ y x))) 1/2)

rewrite401.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

306×	`associate-r`
286×	`log1p-expm1-u`
286×	`expm1-log1p-u`
282×	`add-exp-log`
282×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	548
1	669	530

Stop Event

1×	node limit

Counts

20 → 410

Calls

Call 1

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

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

simplify1.7s (4.9%)

Algorithm

1×	egg-herbie

Rules

867×	`distribute-lft-in`
684×	`*-commutative`
348×	`+-commutative`
240×	`fma-define`
215×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1960	30064818697
1	5487	30064817051

Stop Event

1×	node limit

Counts

1007 → 1065

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
(+.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))))
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))))
(.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))))
(.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 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.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 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 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 (sqrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y x))
(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)))))
(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 (.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3/2 binary64)))
(.f64 (.f64 y x) (sqrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/4 binary64)))
(.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 (.f64 y x)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 y x) (cbrt.f64 (.f64 y x))) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(.f64 (.f64 (.f64 y x) (sqrt.f64 (sqrt.f64 (.f64 y x)))) (sqrt.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(exp.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (.f64 y x))))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (.f64 z (+.f64 y x)) #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))) #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 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z (+.f64 y x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 z (+.f64 y x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 z (+.f64 y x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 z (+.f64 y x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 z (+.f64 y x))))))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(fabs.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(hypot.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 z x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(+.f64 (log.f64 (cbrt.f64 (.f64 z (+.f64 y x)))) (log.f64 (cbrt.f64 (sqrt.f64 (.f64 z (+.f64 y x))))))
(+.f64 (log.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 1/4 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 y x))))
(+.f64 (.f64 (log.f64 z) #s(literal 1/2 binary64)) (.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))) #s(literal 1 binary64))
(pow.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))))
(log1p.f64 (-.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))))
(exp.f64 (.f64 (log.f64 (log.f64 (sqrt.f64 (.f64 z (+.f64 y x))))) #s(literal 1 binary64)))
(+.f64 (log.f64 (sqrt.f64 (.f64 z (+.f64 y x)))) (log.f64 (sqrt.f64 (.f64 z (+.f64 y x)))))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(+.f64 (log.f64 (+.f64 y x)) (log.f64 z))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 z (+.f64 y x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (.f64 z (+.f64 y x)))))
(+.f64 (.f64 (log.f64 z) #s(literal 1 binary64)) (.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (log.f64 (.f64 z (+.f64 y x))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (+.f64 y x)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 z (+.f64 y x)))))
(.f64 (sqrt.f64 (log.f64 (.f64 z (+.f64 y x)))) (sqrt.f64 (log.f64 (*.f64 z (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 z) (log.f64 z)) (-.f64 (.f64 (log.f64 (+.f64 y x)) (log.f64 (+.f64 y x))) (*.f64 (log.f64 z) (log.f64 (+.f64 y x))))))
(/.f64 (-.f64 (.f64 (log.f64 z) (log.f64 z)) (.f64 (log.f64 (+.f64 y x)) (log.f64 (+.f64 y x)))) (-.f64 (log.f64 z) (log.f64 (+.f64 y x))))
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 z (+.f64 y x)))))
(log1p.f64 (-.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 z (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 y z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 y z)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 y z))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 y z))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 y z))))
(*.f64 (pow.f64 (+.f64 y z) #s(literal 1/6 binary64)) (pow.f64 (+.f64 y z) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 y z))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y z)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 y z)) #s(literal 1/3 binary64)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 y y (*.f64 z (-.f64 z y)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (-.f64 y z)))
(pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 1 binary64))
(pow.f64 (+.f64 y z) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (+.f64 y z)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 y z))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 y z))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 y z))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y z)) #s(literal 1/3 binary64)))

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

eval950.0ms (2.8%)

Compiler: Compiled 26381 to 5514 computations (79.1% saved)

prune650.0ms (1.9%)

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1111	20	1131
Fresh	7	16	23
Picked	2	3	5
Done	1	0	1
Total	1121	39	1160

Accuracy

87.4%

Counts

1160 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.1%	(.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
	38.5%	(.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
	32.2%	(.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)))))))
	39.1%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	34.0%	(.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 z (+.f64 y x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))))
	35.0%	(.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 z (+.f64 y x)))))
	48.2%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
	23.3%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
	1.9%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 x)))
	4.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z x)) #s(literal 3 binary64))))
	38.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 3 binary64))))
	71.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 y) #s(literal 3 binary64)) x) (*.f64 y z))))
	54.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x) (*.f64 y z))))
▶	71.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (.f64 y z))))
	37.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 z x) (*.f64 y z))))
▶	47.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 z (-.f64 y x))))))
	60.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
	36.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	4.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
	18.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
	40.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
	24.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
	6.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 x z))))
	40.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 x y))))
	34.0%	(.f64 #s(literal 2 binary64) (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 z (+.f64 y x))))) #s(literal 3 binary64))))
	22.0%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
	34.0%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
▶	2.1%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
	3.4%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (/.f64 y x) (log.f64 (*.f64 x z))) #s(literal 1/2 binary64))))
▶	33.8%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (/.f64 x y) (log.f64 (*.f64 z y))) #s(literal 1/2 binary64))))
✓	35.2%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
	4.1%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
	36.5%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (fabs.f64 (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
	21.6%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 z (+.f64 y x))))) #s(literal 1/2 binary64))))
	3.9%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z x) #s(literal 3/2 binary64))))
✓	28.0%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
	37.8%	(sqrt.f64 (.f64 z (.f64 (+.f64 x y) #s(literal 4 binary64))))
▶	39.3%	(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))
	4.1%	(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))))

Compiler

Compiled 1146 to 837 computations (27% saved)

simplify171.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
✓	cost-diff	0	(*.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))
✓	cost-diff	13120	(exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
✓	cost-diff	13120	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 (/.f64 x y) (log.f64 (*.f64 z y)))
✓	cost-diff	0	(.f64 (+.f64 (/.f64 x y) (log.f64 (.f64 z y))) #s(literal 1/2 binary64))
✓	cost-diff	128	(exp.f64 (.f64 (+.f64 (/.f64 x y) (log.f64 (.f64 z y))) #s(literal 1/2 binary64)))
✓	cost-diff	128	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (/.f64 x y) (log.f64 (*.f64 z y))) #s(literal 1/2 binary64))))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(*.f64 (-.f64 y x) (+.f64 x y))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	512	(.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 z (-.f64 y x)))
✓	cost-diff	0	(*.f64 x #s(literal 4 binary64))
✓	cost-diff	0	(.f64 y (.f64 x #s(literal 4 binary64)))
✓	cost-diff	0	(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))
✓	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

660×	`unsub-neg`
583×	`fma-neg`
431×	`distribute-lft-out`
410×	`distribute-rgt-neg-out`
385×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	1122
1	107	1084
2	234	1026
3	583	958
4	1677	906
5	3945	906

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

localize442.0ms (1.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(log.f64 (neg.f64 z))
✓	accuracy	99.6%	(-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
✓	accuracy	97.7%	(exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (/.f64 x y) (log.f64 (*.f64 z y))) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(+.f64 (/.f64 x y) (log.f64 (*.f64 z y)))
✓	accuracy	99.9%	(exp.f64 (.f64 (+.f64 (/.f64 x y) (log.f64 (.f64 z y))) #s(literal 1/2 binary64)))
✓	accuracy	91.1%	(log.f64 (*.f64 z y))
✓	accuracy	100.0%	(/.f64 z (-.f64 y x))
✓	accuracy	100.0%	(+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 z (-.f64 y x))))
✓	accuracy	93.3%	(sqrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 z (-.f64 y x)))))
✓	accuracy	81.3%	(.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 z (-.f64 y x)))
✓	accuracy	100.0%	(.f64 y (.f64 x #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 4 binary64))
✓	accuracy	93.3%	(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))
	accuracy	100.0%	(*.f64 y z)
✓	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	97.4%	(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	93.3%	(sqrt.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 y z)))

Results

205.0ms	179×	0	invalid
100.0ms	77×	0	valid

Compiler

Compiled 305 to 44 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 68.0ms (43.2% of total)

ival-div: 23.0ms (14.6% of total)

ival-add: 16.0ms (10.2% of total)

ival-log: 16.0ms (10.2% of total)

ival-sqrt: 14.0ms (8.9% of total)

ival-exp: 9.0ms (5.7% of total)

ival-sub: 6.0ms (3.8% of total)

ival-neg: 3.0ms (1.9% of total)

const: 2.0ms (1.3% of total)

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

series1.1s (3.4%)

Counts

26 → 661

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

Calls

180 calls:

Time	Variable		Point	Expression
339.0ms	z	@	-inf	(* 2 (exp (* (- (log (neg z)) (log (/ -1 x))) 1/2)))
230.0ms	z	@	0	(* 2 (exp (* (- (log (neg z)) (log (/ -1 x))) 1/2)))
66.0ms	x	@	0	(* 2 (exp (* (- (log (neg z)) (log (/ -1 x))) 1/2)))
50.0ms	z	@	-inf	(* 2 (exp (* (+ (/ x y) (log (* z y))) 1/2)))
44.0ms	z	@	0	(* 2 (exp (* (+ (/ x y) (log (* z y))) 1/2)))

rewrite408.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

382×	`log1p-expm1-u`
382×	`expm1-log1p-u`
375×	`add-exp-log`
372×	`add-log-exp`
372×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	892
1	854	858

Stop Event

1×	node limit

Counts

26 → 484

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)
(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))
(.f64 y (.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
(.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 z (-.f64 y x)))
(*.f64 (-.f64 y x) (+.f64 x y))
(-.f64 y x)
(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (/.f64 x y) (log.f64 (*.f64 z y))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (+.f64 (/.f64 x y) (log.f64 (.f64 z y))) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x y) (log.f64 (.f64 z y))) #s(literal 1/2 binary64))
(+.f64 (/.f64 x y) (log.f64 (*.f64 z y)))
(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))
(-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) 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 x y) (.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 z (-.f64 y x)))))
(+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 z (-.f64 y x))))
(/.f64 z (-.f64 y x))
(log.f64 (*.f64 z y))
(log.f64 (neg.f64 z))
(log.f64 (/.f64 #s(literal -1 binary64) x))

Outputs
(-.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))
(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 (/.f64 y z) z))
(+.f64 (.f64 z #s(literal 1 binary64)) (.f64 z (/.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(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))
(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 (log.f64 z) (log1p.f64 (/.f64 y z))))
(exp.f64 (*.f64 (+.f64 (log.f64 z) (log1p.f64 (/.f64 y 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.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 2 binary64))) (-.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 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 y z))))
(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))
(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 (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 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 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)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 y (*.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) (cbrt.f64 (sqrt.f64 (.f64 y (*.f64 x #s(literal 4 binary64))))))
(.f64 (sqrt.f64 y) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 y (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 y (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 y x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 y (*.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 y (*.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (.f64 y (*.f64 x #s(literal 4 binary64))))))
(pow.f64 (.f64 y (.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (.f64 y (.f64 x #s(literal 4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 x #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (.f64 y (*.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 y (.f64 x #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 x #s(literal 4 binary64)))))
(exp.f64 (log.f64 (.f64 y (.f64 x #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) z) (-.f64 y x))
(pow.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 y x)) (+.f64 y x)) (/.f64 z (-.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))))
(exp.f64 (log.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (-.f64 y x) x) (.f64 (-.f64 y x) y))
(+.f64 (.f64 x (-.f64 y x)) (.f64 y (-.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (-.f64 y x)) (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) (+.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 (-.f64 y x) (+.f64 y x))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1 binary64)))
(fma.f64 x (-.f64 y x) (*.f64 y (-.f64 y x)))
(fma.f64 (-.f64 y x) x (*.f64 (-.f64 y x) y))
(+.f64 y (neg.f64 x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 #s(literal 1 binary64) y (neg.f64 (.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) y (neg.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 (.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
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(expm1.f64 (log1p.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))))
(exp.f64 (log.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))
(fma.f64 y x (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))
(fma.f64 x y (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))
(fma.f64 (-.f64 y x) (.f64 (+.f64 y x) (/.f64 z (-.f64 y x))) (.f64 y x))
(fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))
(fma.f64 (/.f64 z (-.f64 y x)) (.f64 (-.f64 y x) (+.f64 y x)) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 y x)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))
(fma.f64 (sqrt.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) (sqrt.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (-.f64 y x)))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z (-.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 z (-.f64 y x))) (sqrt.f64 (/.f64 z (-.f64 y x))))
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (-.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (-.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 y x) z) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 z (-.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (-.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (-.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 z (-.f64 y x))))
(exp.f64 (log.f64 (/.f64 z (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 y x))) #s(literal 1 binary64)))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 y) (log.f64 z))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 z y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (.f64 z y))))
(+.f64 (log.f64 (sqrt.f64 (.f64 z y))) (log.f64 (sqrt.f64 (.f64 z y))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 z y)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (log.f64 (.f64 z y)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 z y))))
(.f64 (sqrt.f64 (log.f64 (.f64 z y))) (sqrt.f64 (log.f64 (*.f64 z y))))
(pow.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 z y))) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 z y))))
(log1p.f64 (-.f64 (*.f64 z y) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 z y))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 z y))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 z))
(+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (neg.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (neg.f64 z))) (log.f64 (sqrt.f64 (neg.f64 z))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (neg.f64 z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (neg.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (neg.f64 z))))
(*.f64 (sqrt.f64 (log.f64 (neg.f64 z))) (sqrt.f64 (log.f64 (neg.f64 z))))
(pow.f64 (log.f64 (neg.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (neg.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (neg.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (neg.f64 z))) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (log.f64 (neg.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (neg.f64 z))))
(log1p.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (neg.f64 z))))
(exp.f64 (*.f64 (log.f64 (log.f64 (neg.f64 z))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal -1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (sqrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(neg.f64 (log.f64 (neg.f64 x)))
(neg.f64 (log.f64 (/.f64 x #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log1p.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))

simplify1.4s (4%)

Algorithm

1×	egg-herbie

Rules

774×	`distribute-lft-in`
567×	`*-commutative`
300×	`+-commutative`
256×	`times-frac`
168×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1943	58011
1	5102	55617

Stop Event

1×	node limit

Counts

1145 → 1150

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 y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(.f64 #s(literal 4 binary64) (.f64 x y))
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) x)
(*.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)))))
(*.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 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 y (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 y (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) x)))))
(pow.f64 y #s(literal 2 binary64))
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(.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x)))))
(pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)))))
(hypot.f64 (sqrt.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) (sqrt.f64 (*.f64 y x)))
(hypot.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))) (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))) #s(literal 2 binary64))) (-.f64 (.f64 y x) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y x) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))))))
(pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))))
(exp.f64 (log.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (*.f64 y x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))
(fma.f64 y x (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))
(fma.f64 x y (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))
(fma.f64 (-.f64 y x) (.f64 (+.f64 y x) (/.f64 z (-.f64 y x))) (.f64 y x))
(fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)) (.f64 y x))
(fma.f64 (/.f64 z (-.f64 y x)) (.f64 (-.f64 y x) (+.f64 y x)) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 y x)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))
(fma.f64 (sqrt.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) (sqrt.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x)))) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 z (-.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (-.f64 y x)))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z (-.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 z (-.f64 y x))) (sqrt.f64 (/.f64 z (-.f64 y x))))
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (-.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (-.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 y x) z) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 z (-.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (-.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (-.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 z (-.f64 y x))))
(exp.f64 (log.f64 (/.f64 z (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 y x))) #s(literal 1 binary64)))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 y) (log.f64 z))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 z y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (.f64 z y))))
(+.f64 (log.f64 (sqrt.f64 (.f64 z y))) (log.f64 (sqrt.f64 (.f64 z y))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 z y)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (log.f64 (.f64 z y)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 z y))))
(.f64 (sqrt.f64 (log.f64 (.f64 z y))) (sqrt.f64 (log.f64 (*.f64 z y))))
(pow.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 z y))) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 z y))))
(log1p.f64 (-.f64 (*.f64 z y) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 z y))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 z y))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 z))
(+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (neg.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (neg.f64 z))) (log.f64 (sqrt.f64 (neg.f64 z))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (neg.f64 z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (neg.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (neg.f64 z))))
(*.f64 (sqrt.f64 (log.f64 (neg.f64 z))) (sqrt.f64 (log.f64 (neg.f64 z))))
(pow.f64 (log.f64 (neg.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (neg.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (neg.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (neg.f64 z))) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (log.f64 (neg.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (neg.f64 z))))
(log1p.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (neg.f64 z))))
(exp.f64 (*.f64 (log.f64 (log.f64 (neg.f64 z))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal -1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (sqrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(neg.f64 (log.f64 (neg.f64 x)))
(neg.f64 (log.f64 (/.f64 x #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log1p.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 z (neg.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 z (neg.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 z (neg.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y 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 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 (neg.f64 x) (/.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 (neg.f64 x) (/.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 (neg.f64 x) (/.f64 z y)) x) (neg.f64 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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eval591.0ms (1.7%)

Compiler: Compiled 30479 to 5888 computations (80.7% saved)

prune591.0ms (1.7%)

Pruning

50 alts after pruning (44 fresh and 6 done)

	Pruned	Kept	Total
New	1209	17	1226
Fresh	4	27	31
Picked	2	3	5
Done	0	3	3
Total	1215	50	1265

Accuracy

87.5%

Counts

1265 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.2%	(fma.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 x (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y)))
	39.1%	(pow.f64 (pow.f64 (.f64 y (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	2.2%	(+.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) (/.f64 (.f64 x (exp.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) y))
	39.1%	(.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
	38.9%	(.f64 (cbrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) (cbrt.f64 (sqrt.f64 (.f64 y (*.f64 x #s(literal 4 binary64))))))
	38.5%	(.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)))))))
	32.2%	(.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)))))))
	39.1%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	2.1%	(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
	35.0%	(.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 z (+.f64 y x)))))
	2.2%	(.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) y)))
	48.2%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
	23.3%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
	1.9%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 x)))
	4.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z x)) #s(literal 3 binary64))))
	38.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 3 binary64))))
	71.9%	(.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))))
	37.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 z x) (*.f64 y z))))
	35.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 z y)))))
	23.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (.f64 (.f64 (neg.f64 x) (+.f64 x y)) (/.f64 z (-.f64 y x))))))
	60.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
	36.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	4.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
	18.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
	40.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
	38.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
	24.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
	6.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 x z))))
	40.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 x y))))
	34.0%	(.f64 #s(literal 2 binary64) (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 z (+.f64 y x))))) #s(literal 3 binary64))))
	22.0%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
	34.0%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
	2.1%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (neg.f64 z)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/2 binary64))))
✓	2.1%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
	2.1%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (neg.f64 z)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
	0.3%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (expm1.f64 (log1p.f64 (log.f64 (neg.f64 z)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
	2.1%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 (neg.f64 z)) (neg.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
	3.4%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (/.f64 y x) (log.f64 (*.f64 x z))) #s(literal 1/2 binary64))))
✓	33.8%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (+.f64 (/.f64 x y) (log.f64 (*.f64 z y))) #s(literal 1/2 binary64))))
	33.9%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (log.f64 (.f64 y z)) x))) #s(literal 1/2 binary64))))
✓	35.2%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
	4.1%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
	36.5%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (fabs.f64 (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
	21.6%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 z (+.f64 y x))))) #s(literal 1/2 binary64))))
	21.4%	(.f64 #s(literal 2 binary64) (exp.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 (/.f64 x y) (log.f64 (*.f64 z y))) #s(literal 1/2 binary64))))))
	3.9%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z x) #s(literal 3/2 binary64))))
✓	28.0%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
	37.8%	(sqrt.f64 (.f64 z (.f64 (+.f64 x y) #s(literal 4 binary64))))
✓	39.3%	(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))
	4.1%	(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))))

Compiler

Compiled 2053 to 1013 computations (50.7% saved)

regimes221.0ms (0.6%)

Counts

83 → 2

Calls

Call 1

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

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

Calls

6 calls:

35.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
35.0ms	z
34.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
33.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
32.0ms	x

Results

Accuracy	Segments	Branch
84.5%	2	`x`
87.0%	2	`y`
85.9%	2	`z`
85.5%	2	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
85.5%	2	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
85.5%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes93.0ms (0.3%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	z
16.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
14.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
14.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
74.2%	1	`x`
74.2%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
74.2%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
74.2%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
74.2%	1	`z`
74.2%	1	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes25.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

Outputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
(sqrt.f64 (.f64 z (.f64 (+.f64 x y) #s(literal 4 binary64))))

Calls

3 calls:

9.0ms	z
7.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
72.2%	2	`x`
74.3%	2	`y`
71.5%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Counts

5 → 2

Calls

Call 1

Inputs
(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))
(.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)))
(sqrt.f64 (.f64 z (.f64 (+.f64 x y) #s(literal 4 binary64))))

Outputs
(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))
(sqrt.f64 (.f64 z (.f64 (+.f64 x y) #s(literal 4 binary64))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
73.3%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))
(.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
(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))

Calls

2 calls:

8.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
70.2%	2	`x`
72.1%	2	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0%)

Accuracy

Total -22.9b remaining (-59%)

Threshold costs -22.9b (-59%)

Counts

3 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))

Outputs
(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))

Calls

3 calls:

3.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
39.3%	1	`x`
39.3%	1	`z`
39.3%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch189.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
175.0ms	-9.189973291257633e-263	1.031209726114856e-269

Results

103.0ms	179×	0	invalid
39.0ms	208×	0	valid

Compiler

Compiled 348 to 263 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-sqrt: 78.0ms (67.6% of total)

ival-mult: 28.0ms (24.3% of total)

ival-add: 9.0ms (7.8% of total)

const: 1.0ms (0.9% of total)

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

bsearch107.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
96.0ms	-9.189973291257633e-263	1.031209726114856e-269

Results

39.0ms	192×	0	valid
30.0ms	147×	0	invalid

Compiler

Compiled 311 to 232 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 32.0ms (70.1% of total)

ival-add: 7.0ms (15.3% of total)

ival-sqrt: 6.0ms (13.1% of total)

const: 1.0ms (2.2% of total)

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

bsearch108.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
97.0ms	-9.189973291257633e-263	1.031209726114856e-269

Results

38.0ms	208×	0	valid
24.0ms	135×	0	invalid

Compiler

Compiled 309 to 237 computations (23.3% saved)

Precisions

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

ival-mult: 25.0ms (64.3% of total)

ival-add: 8.0ms (20.6% of total)

ival-sqrt: 6.0ms (15.4% of total)

const: 1.0ms (2.6% of total)

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

bsearch109.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
98.0ms	-9.189973291257633e-263	1.031209726114856e-269

Results

41.0ms	208×	0	valid
27.0ms	146×	0	invalid

Compiler

Compiled 283 to 224 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 26.0ms (63.6% of total)

ival-add: 8.0ms (19.6% of total)

ival-sqrt: 6.0ms (14.7% of total)

const: 1.0ms (2.4% of total)

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

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative`
3×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	354
1	67	354

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 8684178745510253/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal 8246953210043571/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (sqrt.f64 (.f64 z (.f64 (+.f64 x y) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -3190792125773441/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) (sqrt.f64 (.f64 z (.f64 (+.f64 x y) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y))))
(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))

Outputs
(if (<=.f64 y #s(literal 8684178745510253/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 8684178745510253/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 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 8246953210043571/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (sqrt.f64 (.f64 z (.f64 (+.f64 x y) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal 8246953210043571/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (sqrt.f64 (.f64 z (.f64 (+.f64 y x) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -3190792125773441/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) (sqrt.f64 (.f64 z (.f64 (+.f64 x y) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -3190792125773441/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) (sqrt.f64 (.f64 z (.f64 (+.f64 y x) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y))))
(if (<=.f64 y #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(sqrt.f64 (.f64 y (.f64 x #s(literal 4 binary64))))

soundness4.9s (14.2%)

Rules

867×	`distribute-lft-in`
855×	`*-commutative`
843×	`fma-neg`
694×	`fma-define`
684×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	755
1	664	743
0	1196	88056
1	3438	86057
0	2301	4295048823
1	6973	4295047344
0	1960	30064818697
1	5487	30064817051
0	42	548
1	669	530
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×	fuel
1×	saturated
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 738 to 269 computations (63.6% saved)

preprocess358.0ms (1%)

Compiler: Compiled 458 to 222 computations (51.5% saved)

analyze599.0ms (1.8%)

sample5.6s (16.4%)

preprocess407.0ms (1.2%)

explain238.0ms (0.7%)

eval70.0ms (0.2%)

prune5.0ms (0%)

simplify30.0ms (0.1%)

localize622.0ms (1.8%)

series369.0ms (1.1%)

rewrite1.3s (3.9%)

simplify2.6s (7.7%)

eval532.0ms (1.6%)

prune351.0ms (1%)

simplify157.0ms (0.5%)

localize386.0ms (1.1%)

series498.0ms (1.5%)

rewrite374.0ms (1.1%)

simplify1.8s (5.2%)

eval523.0ms (1.5%)

prune1.3s (3.8%)

simplify539.0ms (1.6%)

localize543.0ms (1.6%)

series784.0ms (2.3%)

rewrite401.0ms (1.2%)

simplify1.7s (4.9%)

eval950.0ms (2.8%)

prune650.0ms (1.9%)

simplify171.0ms (0.5%)

localize442.0ms (1.3%)

series1.1s (3.4%)

rewrite408.0ms (1.2%)

simplify1.4s (4%)

eval591.0ms (1.7%)

prune591.0ms (1.7%)

regimes221.0ms (0.6%)

regimes93.0ms (0.3%)

regimes25.0ms (0.1%)

regimes6.0ms (0%)

regimes13.0ms (0%)

regimes11.0ms (0%)

bsearch189.0ms (0.6%)

bsearch107.0ms (0.3%)

bsearch108.0ms (0.3%)

bsearch109.0ms (0.3%)

simplify9.0ms (0%)

soundness4.9s (14.2%)

preprocess358.0ms (1%)

end0.0ms (0%)

Profiling