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

analyze341.0ms (2.4%)

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: 194.0ms

ival-mult: 147.0ms (75.6% of total)

ival-add: 26.0ms (13.4% of total)

ival-sqrt: 18.0ms (9.3% of total)

const: 2.0ms (1% of total)

backward-pass: 1.0ms (0.5% of total)

sample2.1s (15.1%)

Results

1.3s	8256×	0	valid
348.0ms	4540×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 703.0ms

ival-mult: 430.0ms (61.2% of total)

ival-add: 138.0ms (19.6% of total)

ival-sqrt: 112.0ms (15.9% of total)

const: 18.0ms (2.6% of total)

backward-pass: 5.0ms (0.7% of total)

Bogosity

preprocess156.0ms (1.1%)

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)

explain207.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
94	-	1	(-2.748093817120696e-142 -5.224031082222952e-173 -7.313037728149003e-300)	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
6	-	0	-	`(+.f64 (.f64 x y) (.f64 x z))`
3	-	0	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y 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

61.0ms

512×

valid

Compiler

Compiled 139 to 37 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 17.0ms (61.2% of total)

ival-add: 5.0ms (18% of total)

ival-sqrt: 4.0ms (14.4% of total)

const: 1.0ms (3.6% of total)

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

eval1.0ms (0%)

Compiler: Compiled 37 to 22 computations (40.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z)))))
▶	65.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize117.0ms (0.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	65.5%	(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
✓	100.0%	(*.f64 z (+.f64 y x))
✓	98.1%	(+.f64 (.f64 x y) (.f64 z (+.f64 y x)))
✓	65.5%	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))

Results

99.0ms

256×

valid

Compiler

Compiled 90 to 19 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 9.0ms (43.9% of total)

ival-add: 4.0ms (19.5% of total)

ival-sqrt: 4.0ms (19.5% of total)

ival-fma: 3.0ms (14.6% of total)

const: 1.0ms (4.9% of total)

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

series103.0ms (0.7%)

Counts

4 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
70.0ms	z	@	-inf	(sqrt (+ (* x z) (* y (+ x z))))
3.0ms	x	@	inf	(sqrt (+ (* x y) (* z (+ y x))))
2.0ms	x	@	-inf	(sqrt (+ (* x y) (* z (+ y x))))
2.0ms	y	@	-inf	(sqrt (+ (* x y) (* z (+ y x))))
2.0ms	y	@	inf	(sqrt (+ (* x y) (* z (+ y x))))

rewrite265.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`fma-define`
842×	`log1p-expm1-u`
842×	`expm1-log1p-u`
373×	`fma-neg`
129×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	138
1	284	138
2	4186	138

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))
(+.f64 (.f64 x y) (.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))

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

simplify306.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

785×	`associate-r`
696×	`associate-l`
532×	`fma-define`
370×	`distribute-lft-in`
355×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	791	24548
1	2213	23785
2	7612	23497

Stop Event

1×	node limit

Counts

363 → 459

Calls

Call 1

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

Outputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (.f64 y z)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (.f64 y z)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))))) (sqrt.f64 (.f64 y z)))
(+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (+.f64 (.f64 #s(literal -1/8 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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))))))))
(fma.f64 x (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))))) (sqrt.f64 (*.f64 y z)))
(+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (+.f64 y z))) (.f64 x (+.f64 (.f64 #s(literal -1/8 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 1/16 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 y z)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)))) (.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (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)))))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64))))) (.f64 (.f64 (.f64 #s(literal 1/16 binary64) 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 (.f64 #s(literal 1/2 binary64) (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))))) (sqrt.f64 (.f64 y z)))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (.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 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 (+.f64 y z) x))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) 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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.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 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))) #s(literal -1/8 binary64))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) 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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (.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 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (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 #s(literal 1/2 binary64) (.f64 (.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))))
(.f64 x (+.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (+.f64 y z) #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 (+.f64 y z) x)))))
(.f64 #s(literal -1 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))))
(neg.f64 (.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal -1 binary64) (+.f64 y z)))) (sqrt.f64 #s(literal -1 binary64))))
(.f64 (sqrt.f64 (.f64 x (-.f64 (neg.f64 y) z))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(.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 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z))))) (.f64 y (.f64 z (sqrt.f64 #s(literal -1 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 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1 binary64) (+.f64 y z))))) (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 y z)) x)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 (.f64 z (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 y) z))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x)))) (neg.f64 x))
(.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 (.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 1/2 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 (sqrt.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 (neg.f64 x) (fma.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 #s(literal -1 binary64) (+.f64 y 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))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1 binary64) (+.f64 y z))))) (.f64 y (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) x))))))
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(*.f64 z (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(*.f64 z (/.f64 (-.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 (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 z (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x))
(*.f64 z (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x)))
(pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64))
(*.f64 z (+.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))
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(pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64))
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(sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))
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(log.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))
(*.f64 z (+.f64 y x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 x y)))))
(*.f64 z (+.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))
(*.f64 z (+.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 x y))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 x y))))
(*.f64 z (+.f64 y x))
(exp.f64 (log.f64 (*.f64 z (+.f64 x y))))
(*.f64 z (+.f64 y x))
(exp.f64 (.f64 (log.f64 (.f64 z (+.f64 x y))) #s(literal 1 binary64)))
(*.f64 z (+.f64 y x))
(fma.f64 x z (*.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 y z (*.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 z x (*.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 z y (*.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 y z) (.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) y) (.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 y (cbrt.f64 z)) (.f64 z x))
(+.f64 (.f64 z x) (.f64 y (pow.f64 (cbrt.f64 z) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) x) (.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 x (cbrt.f64 z)) (.f64 y z))
(+.f64 (.f64 y z) (.f64 x (pow.f64 (cbrt.f64 z) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) z) (.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 z (cbrt.f64 y)) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z (pow.f64 (cbrt.f64 y) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) z) (.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 z (cbrt.f64 x)) (.f64 y z))
(+.f64 (.f64 y z) (.f64 z (pow.f64 (cbrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) y) (.f64 x z))
(fma.f64 (sqrt.f64 z) (.f64 y (sqrt.f64 z)) (.f64 z x))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) x) (.f64 y z))
(fma.f64 (sqrt.f64 z) (.f64 x (sqrt.f64 z)) (.f64 y z))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) z) (.f64 x z))
(fma.f64 (sqrt.f64 y) (.f64 z (sqrt.f64 y)) (.f64 z x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) z) (.f64 y z))
(fma.f64 (sqrt.f64 x) (.f64 z (sqrt.f64 x)) (.f64 y z))
(fma.f64 (.f64 y z) #s(literal 1 binary64) (.f64 (*.f64 x z) #s(literal 1 binary64)))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (.f64 y z)) (cbrt.f64 (.f64 y z))) (cbrt.f64 (.f64 y z)) (*.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (.f64 x z)) (cbrt.f64 (.f64 x z))) (cbrt.f64 (.f64 x z)) (*.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (*.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (sqrt.f64 (.f64 x z)) (sqrt.f64 (.f64 x z)) (*.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 x z))
(fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 z x))
(fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 x z))
(fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 z x))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 z)) (.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 y z))
(fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 x)) (.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 y z))
(fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 x)) (.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 y z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 y (cbrt.f64 z)) (.f64 z x))
(+.f64 (.f64 z x) (.f64 y (pow.f64 (cbrt.f64 z) #s(literal 3 binary64))))
(fma.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 z) (.f64 x z))
(fma.f64 (sqrt.f64 z) (.f64 y (sqrt.f64 z)) (.f64 z x))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 z (cbrt.f64 y)) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z (pow.f64 (cbrt.f64 y) #s(literal 3 binary64))))
(fma.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 y) (.f64 x z))
(fma.f64 (sqrt.f64 y) (.f64 z (sqrt.f64 y)) (.f64 z x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 x (cbrt.f64 z)) (.f64 y z))
(+.f64 (.f64 y z) (.f64 x (pow.f64 (cbrt.f64 z) #s(literal 3 binary64))))
(fma.f64 (.f64 x (sqrt.f64 z)) (sqrt.f64 z) (.f64 y z))
(fma.f64 (sqrt.f64 z) (.f64 x (sqrt.f64 z)) (.f64 y z))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 z (cbrt.f64 x)) (.f64 y z))
(+.f64 (.f64 y z) (.f64 z (pow.f64 (cbrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (.f64 z (sqrt.f64 x)) (sqrt.f64 x) (.f64 y z))
(fma.f64 (sqrt.f64 x) (.f64 z (sqrt.f64 x)) (.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))
(.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z)))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x))))) (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x)))) (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x))))) (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(.f64 (pow.f64 (fma.f64 y (+.f64 x z) (.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 x y) (.f64 z (+.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 y x) (.f64 z (+.f64 y x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 z (+.f64 y x)) (fma.f64 z (+.f64 y x) (.f64 x (neg.f64 y))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 z (+.f64 y x)) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(fabs.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))
(hypot.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(hypot.f64 (sqrt.f64 (.f64 z (+.f64 x y))) (sqrt.f64 (.f64 x y)))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(exp.f64 (.f64 (log.f64 (fma.f64 y (+.f64 x z) (.f64 x z))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z)))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))

eval190.0ms (1.4%)

Compiler: Compiled 11575 to 5744 computations (50.4% saved)

prune158.0ms (1.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	439	20	459
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	441	20	461

Accuracy

81.1%

Counts

461 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.3%	(.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
▶	65.1%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	64.2%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z)))) #s(literal 3 binary64)))
	17.7%	(.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 y x) (*.f64 z (+.f64 y x))))))
	44.8%	(.f64 #s(literal 2 binary64) (.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
▶	43.6%	(.f64 #s(literal 2 binary64) (.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))))))
	38.5%	(.f64 #s(literal 2 binary64) (.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 z (.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))))) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
	36.0%	(.f64 #s(literal 2 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))
	34.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 (+.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))))
	64.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z))) #s(literal 3 binary64))))
	64.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 z x) (*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))))))
▶	36.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x))))
	55.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
	3.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
	36.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z)))
▶	31.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
	45.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
	32.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z))))
▶	60.7%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64))))
	46.6%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (.f64 z x)) #s(literal 3/2 binary64))))

Compiler

Compiled 754 to 510 computations (32.4% saved)

localize751.0ms (5.4%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	93.6%	(.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))))
✓	87.1%	(.f64 (.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))
✓	86.3%	(sqrt.f64 (/.f64 (+.f64 y x) z))
✓	85.3%	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))
✓	95.6%	(exp.f64 (.f64 (log.f64 (fma.f64 y (+.f64 x z) (.f64 x z))) #s(literal 1/2 binary64)))
✓	79.5%	(log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
	100.0%	(*.f64 z (+.f64 y x))
✓	86.2%	(sqrt.f64 (*.f64 z (+.f64 y x)))
✓	83.6%	(sqrt.f64 (*.f64 y x))
✓	99.5%	(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	79.6%	(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))

Results

140.0ms	129×	0	valid
433.0ms	127×	0	invalid

Compiler

Compiled 322 to 118 computations (63.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 520.0ms

ival-pow: 205.0ms (39.4% of total)

ival-div: 173.0ms (33.3% of total)

ival-mult: 101.0ms (19.4% of total)

ival-sqrt: 16.0ms (3.1% of total)

ival-add: 7.0ms (1.3% of total)

ival-exp: 5.0ms (1% of total)

const: 5.0ms (1% of total)

ival-fma: 3.0ms (0.6% of total)

ival-log: 3.0ms (0.6% of total)

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

series216.0ms (1.6%)

Counts

10 → 348

Calls

Call 1

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

Outputs
#<alt (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (.f64 y (+.f64 (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (.f64 y (+.f64 x z)))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (.f64 y (+.f64 x z)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (.f64 y (+.f64 x z)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/384 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (.f64 y (+.f64 x z)))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (.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) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) y)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (+.f64 x z)))) y)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (.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) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/12 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/384 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) y)) (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64))))))) y)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (+.f64 x z)))) y)))>
#<alt (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/4 binary64))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/4 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/4 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (.f64 x (+.f64 (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/4 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/4 binary64)))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
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#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (.f64 x (+.f64 y z)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 y z)))))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (+.f64 (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (.f64 y (pow.f64 z #s(literal 3 binary64)))))))) y)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 y z))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 3 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 y z)))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (+.f64 (.f64 x (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 3 binary64)))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) z))))))) (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) z)))) (.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 3 binary64)))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) z)))))))) (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (.f64 x (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal 3 binary64))))) y)))))>
#<alt (.f64 x (+.f64 (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal 3 binary64))))) y)))) (/.f64 (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 binary64)))))>
#<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)) z))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal 3 binary64))))) y)))) (/.f64 (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 binary64))))))>
#<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)) z))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal 3 binary64))))) y)))) (+.f64 (/.f64 (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (.f64 x (pow.f64 z #s(literal 3 binary64)))) (.f64 y (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal 3 binary64))))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal 3 binary64))))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 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)) z))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal 3 binary64))))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (.f64 x (pow.f64 z #s(literal 3 binary64)))) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) x)) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal 3 binary64))))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 binary64)))))))>

Calls

87 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	(sqrt (/ (/ 1 (pow z 3)) (+ y x)))
12.0ms	x	@	inf	(* (* y x) (sqrt (/ (/ 1 (pow z 3)) (+ y x))))
8.0ms	x	@	inf	(pow (+ (* y (+ x z)) (* x z)) 1/4)
5.0ms	y	@	inf	(sqrt (/ (+ y x) z))
4.0ms	x	@	0	(pow (+ (* y (+ x z)) (* x z)) 1/4)

rewrite247.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

274×	`associate-r`
254×	`log1p-expm1-u`
254×	`expm1-log1p-u`
248×	`add-exp-log`
246×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	413
1	594	405

Stop Event

1×	node limit

Counts

10 → 244

Calls

Call 1

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

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

simplify1.1s (7.8%)

Algorithm

1×	egg-herbie

Rules

818×	`*-commutative`
671×	`times-frac`
412×	`+-commutative`
272×	`fma-define`
244×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1964	56249
1	6174	53984

Stop Event

1×	node limit

Counts

592 → 915

Calls

Call 1

Inputs
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (.f64 y (+.f64 (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (.f64 y (+.f64 x z)))))
(+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (.f64 y (+.f64 x z)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (.f64 y (+.f64 x z)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/384 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (pow.f64 y #s(literal 3 binary64))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
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(pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))
(/.f64 (.f64 (pow.f64 z #s(literal -3/2 binary64)) (.f64 y x)) (sqrt.f64 (+.f64 y x)))
(pow.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (*.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))))
(exp.f64 (log.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))) #s(literal 1 binary64)))
(+.f64 (.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (.f64 (.f64 z (.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))
(+.f64 (.f64 (.f64 z (.f64 (.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))))
(+.f64 (.f64 (.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 z (.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z (.f64 (.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)))) (-.f64 (.f64 (.f64 (.f64 z (.f64 (.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (.f64 (.f64 z (.f64 (.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (.f64 (.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (.f64 (.f64 z (.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))))))
(/.f64 (-.f64 (.f64 (.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)))) (.f64 (.f64 (.f64 z (.f64 (.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (.f64 (.f64 z (.f64 (.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))) (-.f64 (.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (.f64 (.f64 z (.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))))
(/.f64 (.f64 z (+.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (.f64 (pow.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (+.f64 (/.f64 (+.f64 y x) z) (.f64 (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (.f64 (*.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(/.f64 (.f64 z (-.f64 (/.f64 (+.f64 y x) z) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (-.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (.f64 (pow.f64 (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) z) (+.f64 (/.f64 (+.f64 y x) z) (.f64 (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (.f64 (*.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(/.f64 (.f64 (-.f64 (/.f64 (+.f64 y x) z) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) z) (-.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
(pow.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))))
(cbrt.f64 (pow.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(log1p.f64 (expm1.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(exp.f64 (log.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(exp.f64 (.f64 (log.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 1 binary64)))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 (.f64 z (.f64 (.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) z (.f64 (.f64 z (.f64 (.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))

Outputs
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (pow.f64 (.f64 x z) #s(literal 1/4 binary64)))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (.f64 (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) y) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))) (pow.f64 (.f64 x z) #s(literal 1/4 binary64)))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (.f64 y (+.f64 (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (.f64 y (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (+.f64 (.f64 y (fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (.f64 x z) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (.f64 y (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (+.f64 (.f64 y (fma.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
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(.f64 z (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (/.f64 (.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (+.f64 x y) z) (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))) (.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))) (.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))))
(/.f64 (.f64 (-.f64 (/.f64 (+.f64 y x) z) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) z) (-.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
(.f64 z (/.f64 (+.f64 (/.f64 (+.f64 x y) z) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))) (.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (-.f64 (/.f64 (+.f64 x y) z) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 z (-.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))) (.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(pow.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 1 binary64))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(pow.f64 (cbrt.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 3 binary64))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(pow.f64 (pow.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(pow.f64 (sqrt.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 2 binary64))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(sqrt.f64 (pow.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 2 binary64)))
(fabs.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64)))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(cbrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(expm1.f64 (log1p.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(expm1.f64 (log1p.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(expm1.f64 (log1p.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(log1p.f64 (expm1.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(exp.f64 (log.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(exp.f64 (.f64 (log.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 1 binary64)))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 (.f64 z (.f64 (.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))) (.f64 (.f64 z (.f64 x y)) #s(literal 1/2 binary64))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (.f64 (.f64 (.f64 z (.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) z (.f64 (.f64 z (.f64 (.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))) (.f64 (.f64 z (.f64 x y)) #s(literal 1/2 binary64))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (.f64 (.f64 (.f64 z (.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))

eval411.0ms (2.9%)

Compiler: Compiled 39570 to 24021 computations (39.3% saved)

prune410.0ms (2.9%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	981	21	1002
Fresh	13	2	15
Picked	3	2	5
Done	0	0	0
Total	997	25	1022

Accuracy

98.1%

Counts

1022 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.1%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	31.4%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	42.4%	(.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
▶	64.6%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (.f64 x z)) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
	36.0%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
	31.1%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)))
▶	52.5%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
	1.2%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 y) (sqrt.f64 x)))
▶	31.3%	(.f64 #s(literal 2 binary64) (.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (sqrt.f64 (.f64 y x)))))
	42.6%	(.f64 #s(literal 2 binary64) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x)))) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))))))
	47.4%	(.f64 #s(literal 2 binary64) (.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal -3/2 binary64)) (*.f64 y x)) (sqrt.f64 (+.f64 y x)))))))
	41.7%	(.f64 #s(literal 2 binary64) (.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))))
	37.1%	(.f64 #s(literal 2 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
▶	2.9%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))))
✓	36.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x))))
	55.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
	36.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
▶	3.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
✓	31.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
	16.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
	32.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
	38.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 z (+.f64 y x)))))
	42.7%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
	29.6%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
	25.5%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))

Compiler

Compiled 754 to 563 computations (25.3% saved)

localize240.0ms (1.7%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
✓	99.8%	(cbrt.f64 (sqrt.f64 (*.f64 y x)))
	93.4%	(sqrt.f64 (*.f64 y x))
✓	93.1%	(cbrt.f64 (*.f64 y x))
✓	99.9%	(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
✓	99.9%	(.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 x y)))))
✓	99.9%	(.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)))
✓	90.4%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))
✓	96.3%	(sqrt.f64 (*.f64 z x))
✓	99.8%	(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))) #s(literal 2 binary64))
✓	95.7%	(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))
✓	93.8%	(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))

Results

118.0ms	191×	0	invalid
42.0ms	65×	0	valid

Compiler

Compiled 239 to 81 computations (66.1% saved)

Precisions

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

ival-pow: 37.0ms (32% of total)

ival-mult: 32.0ms (27.7% of total)

ival-sqrt: 15.0ms (13% of total)

ival-div: 10.0ms (8.7% of total)

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

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

ival-fma: 3.0ms (2.6% of total)

const: 3.0ms (2.6% of total)

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

series284.0ms (2%)

Counts

12 → 356

Calls

Call 1

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

Outputs
#<alt (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
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#<alt (sqrt.f64 (*.f64 y z))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (.f64 y z)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z y)))))>
#<alt (+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 z y))))))>
#<alt (+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 z y))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 z x)) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 z x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 z x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 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 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #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 z (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 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 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #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 z (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #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 z (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x y)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>

Calls

96 calls:

Time	Variable		Point	Expression
51.0ms	y	@	0	(cbrt (pow (+ (* y (+ x z)) (* x z)) 3/4))
28.0ms	x	@	0	(cbrt (sqrt (* y x)))
23.0ms	y	@	inf	(pow (+ (* y (+ x z)) (* x z)) 3/4)
16.0ms	y	@	0	(cbrt (sqrt (* y x)))
16.0ms	x	@	0	(cbrt (pow (+ (* y (+ x z)) (* x z)) 3/4))

rewrite230.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`log1p-expm1-u`
222×	`associate-r`
215×	`add-cube-cbrt`
215×	`expm1-log1p-u`
212×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	389
1	581	361
2	6621	361

Stop Event

1×	node limit

Counts

12 → 278

Calls

Call 1

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

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

simplify1.1s (7.6%)

Algorithm

1×	egg-herbie

Rules

909×	`*-commutative`
710×	`times-frac`
421×	`+-commutative`
295×	`fma-define`
245×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2230	4295024301
1	6999	4295023243

Stop Event

1×	node limit

Counts

634 → 855

Calls

Call 1

Inputs
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (.f64 y (+.f64 (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (.f64 y (+.f64 x z)))))
(+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (.f64 y (+.f64 x z)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (.f64 y (+.f64 x z)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/384 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (pow.f64 y #s(literal 3 binary64))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x)))))) #s(literal 1 binary64))
(/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x))))
(pow.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x)))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 (.f64 z (+.f64 y x)))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 y (sqrt.f64 (.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x))))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x))))))
(exp.f64 (log.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 z (+.f64 y x))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))))) #s(literal 1 binary64))
(/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))
(pow.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))))))
(cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
(log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
(exp.f64 (log.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
(exp.f64 (.f64 (log.f64 (/.f64 y (sqrt.f64 (.f64 z (+.f64 y x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64))
(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 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64))
(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)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 y x)))
(.f64 (cbrt.f64 (.f64 y x)) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y x))) (.f64 (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 y x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (.f64 y x)))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 y x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(.f64 (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x)))))
(pow.f64 (*.f64 y x) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 y x)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #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))
(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)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 1 binary64)))

Outputs
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (pow.f64 (.f64 x z) #s(literal 1/4 binary64)))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))) (pow.f64 (.f64 x z) #s(literal 1/4 binary64)))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (.f64 y (+.f64 (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (.f64 y (.f64 (pow.f64 (.f64 x z) #s(literal 1/4 binary64)) (+.f64 (.f64 y (fma.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))
(+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (.f64 y (+.f64 x z)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y))))) (.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 (.f64 z (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))) (.f64 y (+.f64 x z))))))
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(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y)))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (.f64 x y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y)))))
(pow.f64 (*.f64 y x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 x y)))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/3 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (cbrt.f64 (*.f64 y x)))
(sqrt.f64 (cbrt.f64 (*.f64 x y)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(sqrt.f64 (cbrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 1/3 binary64)))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 x y))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(sqrt.f64 (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 x y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x y))

eval494.0ms (3.5%)

Compiler: Compiled 38866 to 24676 computations (36.5% saved)

prune514.0ms (3.7%)

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	874	14	888
Fresh	2	16	18
Picked	2	3	5
Done	0	2	2
Total	878	35	913

Accuracy

98.1%

Counts

913 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.1%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
▶	31.4%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	29.3%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
	42.4%	(.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (+.f64 x z))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
	15.3%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
	36.0%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
	31.1%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)))
	20.2%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)))
	31.3%	(.f64 #s(literal 2 binary64) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (.f64 y x)))))
✓	52.5%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
	1.7%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 x)))
✓	31.3%	(.f64 #s(literal 2 binary64) (.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (sqrt.f64 (.f64 y x)))))
	42.6%	(.f64 #s(literal 2 binary64) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x)))) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))))))
	47.4%	(.f64 #s(literal 2 binary64) (.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal -3/2 binary64)) (*.f64 y x)) (sqrt.f64 (+.f64 y x)))))))
	41.7%	(.f64 #s(literal 2 binary64) (.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))))
▶	37.1%	(.f64 #s(literal 2 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
	1.5%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))
	2.4%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 x z)))))
	2.8%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 y z)))))
▶	2.9%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y (sqrt.f64 (.f64 z (+.f64 y x)))))))
	2.5%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) y))))
	2.3%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (sqrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)) y)))))))
	2.9%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (exp.f64 (.f64 (neg.f64 (log.f64 (.f64 z (+.f64 y x)))) #s(literal 1/2 binary64)))))))
	2.7%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64)))))))
✓	36.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x))))
▶	55.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
▶	36.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	3.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
✓	31.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
	16.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
	32.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
	38.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 z (+.f64 y x)))))
	42.7%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
	25.5%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
	3.3%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 x z) #s(literal 3/2 binary64))))

Compiler

Compiled 1066 to 813 computations (23.7% saved)

localize322.0ms (2.3%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	95.4%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))
✓	94.0%	(sqrt.f64 (/.f64 z y))
✓	91.1%	(/.f64 z (pow.f64 y #s(literal 3 binary64)))
✓	81.8%	(sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))
✓	99.6%	(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	83.4%	(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
✓	99.8%	(/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))
✓	99.8%	(.f64 x (/.f64 y (sqrt.f64 (.f64 z (+.f64 y x)))))
	86.2%	(sqrt.f64 (*.f64 z (+.f64 y x)))
✓	82.9%	(sqrt.f64 (*.f64 z y))
✓	99.9%	(*.f64 x (/.f64 y z))
✓	94.8%	(.f64 z (+.f64 x (+.f64 y (.f64 x (/.f64 y z)))))
✓	80.0%	(sqrt.f64 (.f64 z (+.f64 x (+.f64 y (.f64 x (/.f64 y z))))))

Results

143.0ms	129×	0	valid
101.0ms	127×	0	invalid

Compiler

Compiled 267 to 97 computations (63.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 78.0ms (40.3% of total)

ival-pow: 60.0ms (31% of total)

ival-div: 21.0ms (10.9% of total)

ival-sqrt: 19.0ms (9.8% of total)

ival-add: 10.0ms (5.2% of total)

const: 4.0ms (2.1% of total)

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

series178.0ms (1.3%)

Counts

13 → 340

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
61.0ms	x	@	-inf	(pow (* y x) 1/4)
18.0ms	y	@	-inf	(pow (* y x) 1/4)
9.0ms	y	@	0	(pow (* y x) 1/4)
9.0ms	x	@	0	(pow (* y x) 1/4)
7.0ms	x	@	inf	(pow (* y x) 1/4)

rewrite124.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

297×	`associate-r`
271×	`log1p-expm1-u`
271×	`expm1-log1p-u`
268×	`add-cube-cbrt`
266×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	405
1	629	395

Stop Event

1×	node limit

Counts

13 → 312

Calls

Call 1

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

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

simplify363.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

629×	`distribute-lft-in`
622×	`distribute-rgt-in`
507×	`*-commutative`
204×	`associate-+r+`
180×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1390	34097
1	3876	32662

Stop Event

1×	node limit

Counts

652 → 664

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (.f64 x y)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (.f64 x y)) (.f64 z (+.f64 (.f64 #s(literal -1/8 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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (sqrt.f64 (.f64 x y)) (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (+.f64 x y))) (.f64 z (+.f64 (.f64 #s(literal -1/8 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 1/16 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))))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 #s(literal 1/2 binary64) (.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 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (.f64 #s(literal -1/8 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 #s(literal 1/2 binary64) (.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 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (.f64 #s(literal -1/8 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 1/16 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 #s(literal 1/2 binary64) (.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 -1 binary64) (.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 -1/16 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (.f64 y z)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (/.f64 z y)))))
(+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))
(sqrt.f64 (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 z (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 z (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 z (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 z (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 5 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 x (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 z (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 z (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 z (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 z (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 z (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 z (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (.f64 x z)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 z x)) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
(+.f64 (sqrt.f64 (.f64 x z)) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))))
(+.f64 (sqrt.f64 (.f64 x z)) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 x z)))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 3 binary64))))))))))
(sqrt.f64 (.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 z (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 y (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))) (.f64 (sqrt.f64 (/.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))) (.f64 (sqrt.f64 (/.f64 (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)) #s(literal 5 binary64))))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))) (.f64 (sqrt.f64 (/.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 x y)
(+.f64 (.f64 x y) (.f64 z (+.f64 x y)))
(+.f64 (.f64 x y) (.f64 z (+.f64 x y)))
(+.f64 (.f64 x y) (.f64 z (+.f64 x y)))
(*.f64 z (+.f64 x y))
(.f64 z (+.f64 x (+.f64 y (/.f64 (.f64 x y) z))))
(.f64 z (+.f64 x (+.f64 y (/.f64 (.f64 x y) z))))
(.f64 z (+.f64 x (+.f64 y (/.f64 (.f64 x y) z))))
(*.f64 z (+.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 y z)
(+.f64 (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 y z))
(+.f64 (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 y z))
(+.f64 (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 y z))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 x (+.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (*.f64 y z) x)))
(.f64 x (+.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (*.f64 y z) x)))
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(.f64 #s(literal -1 binary64) (.f64 x (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z)))
(/.f64 (sqrt.f64 z) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 z y)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 z y)))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 z y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 z y))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 z y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 z (pow.f64 y #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 1 binary64)))

Outputs
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (.f64 x y)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (.f64 x y)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))) (.f64 z (+.f64 x y))))
(+.f64 (sqrt.f64 (.f64 x y)) (.f64 z (+.f64 (.f64 #s(literal -1/8 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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (sqrt.f64 (.f64 x y)) (.f64 z (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y))))))
(+.f64 (sqrt.f64 (.f64 x y)) (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (+.f64 x y))) (.f64 z (+.f64 (.f64 #s(literal -1/8 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 1/16 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 x y)) (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y)) (.f64 z (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 #s(literal 1/2 binary64) (.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 (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))))
(.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (.f64 #s(literal -1/8 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 #s(literal 1/2 binary64) (.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 (sqrt.f64 (/.f64 (+.f64 x y) z)) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))))
(.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))))
(.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (.f64 #s(literal -1/8 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 1/16 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 #s(literal 1/2 binary64) (.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 (sqrt.f64 (/.f64 (+.f64 x y) z)) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))))))
(.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (.f64 x (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (.f64 x (neg.f64 y))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (.f64 x (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (.f64 x (neg.f64 y))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)))) (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 -1/16 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (.f64 x (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (+.f64 x y) #s(literal 5 binary64)))) (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (.f64 x (neg.f64 y))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (+.f64 x y) #s(literal 5 binary64)))) (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)))))))
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (.f64 y z)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (/.f64 z y)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (/.f64 z y))))) (sqrt.f64 (.f64 y z)))
(+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(+.f64 (.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 x (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (/.f64 z y)))))) (sqrt.f64 (.f64 y z)))
(+.f64 (sqrt.f64 (.f64 y z)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))
(+.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (/.f64 z y))) (.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64))))))))))) (sqrt.f64 (.f64 y z)))
(sqrt.f64 (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(sqrt.f64 (.f64 (.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
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(sqrt.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 z (pow.f64 y #s(literal -3 binary64))))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(.f64 (.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1/4 binary64))) (pow.f64 (.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1/4 binary64)))
(.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (.f64 z (pow.f64 y #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z y))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 z (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (cbrt.f64 z) y))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 3 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) y))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(.f64 (.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 z) y)) (/.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (.f64 (/.f64 (cbrt.f64 z) y) (/.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 y))))
(pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))
(pow.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))
(neg.f64 (/.f64 z (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(neg.f64 (/.f64 (neg.f64 z) (pow.f64 y #s(literal 3 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 y #s(literal -3 binary64))))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))))))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(exp.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (pow.f64 y #s(literal -3 binary64)))) #s(literal 1 binary64)))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 z y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 z y))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (sqrt.f64 (/.f64 z y))))
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 z y) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 z y)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 z y))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 z y))) (sqrt.f64 (cbrt.f64 (/.f64 z y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 z y))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 z y))) (sqrt.f64 (cbrt.f64 (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z)))
(/.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (sqrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 z y))) #s(literal 3 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(fabs.f64 (sqrt.f64 (/.f64 z y)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 z y))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 z y)))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 z y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 z y))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 z y))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 z y))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 3 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(sqrt.f64 (.f64 (.f64 z (pow.f64 y #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (.f64 (.f64 z (pow.f64 y #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))

eval230.0ms (1.6%)

Compiler: Compiled 20204 to 12193 computations (39.7% saved)

prune206.0ms (1.5%)

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	739	13	752
Fresh	14	11	25
Picked	1	4	5
Done	1	4	5
Total	755	32	787

Accuracy

98.3%

Counts

787 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.1%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	31.4%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	29.3%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
	42.4%	(.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
	31.2%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
	35.7%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 z y))) #s(literal 3 binary64)))
	20.2%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)))
	2.9%	(.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) y)))
	1.5%	(.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x z))) y))
✓	52.5%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
	63.9%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z)))
	52.1%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 y)))
	47.4%	(.f64 #s(literal 2 binary64) (.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal -3/2 binary64)) (*.f64 y x)) (sqrt.f64 (+.f64 y x)))))))
	37.0%	(.f64 #s(literal 2 binary64) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z))) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
✓	37.1%	(.f64 #s(literal 2 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
	2.9%	(.f64 #s(literal 2 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) y))))
	2.8%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 x))))
	2.4%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (neg.f64 y))))
	2.9%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y (exp.f64 (.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64)))))))
	2.3%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (sqrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)) y)))))))
	2.7%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64)))))))
	29.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
✓	36.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x))))
✓	55.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
✓	36.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	3.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
✓	31.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
	16.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
	32.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
	38.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (.f64 z (+.f64 y x)))))
	42.7%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
	25.5%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))

Compiler

Compiled 1494 to 937 computations (37.3% saved)

regimes202.0ms (1.5%)

Counts

71 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

59.0ms	y
31.0ms	x
28.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
27.0ms	z
27.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
95.1%	3	`x`
96.2%	4	`y`
90.0%	2	`z`
84.0%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
84.0%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
84.0%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes102.0ms (0.7%)

Counts

49 → 2

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	y
20.0ms	z
20.0ms	x

Results

Accuracy	Segments	Branch
83.0%	2	`z`
82.2%	2	`y`
80.8%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes107.0ms (0.8%)

Counts

47 → 2

Calls

Call 1

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

Outputs
(.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)))

Calls

5 calls:

22.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
21.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
20.0ms	y
20.0ms	z
19.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))

Results

Accuracy	Segments	Branch
82.7%	2	`y`
81.4%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
81.4%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
81.4%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
80.6%	2	`z`

Compiler

Compiled 54 to 34 computations (37% saved)

regimes18.0ms (0.1%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
82.3%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes124.0ms (0.9%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

6 calls:

63.0ms	z
13.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
12.0ms	x
11.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
11.0ms	y

Results

Accuracy	Segments	Branch
65.4%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
65.4%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
65.4%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
65.4%	1	`z`
65.4%	1	`x`
65.4%	1	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes24.0ms (0.2%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
8.0ms	z
6.0ms	x

Results

Accuracy	Segments	Branch
64.8%	2	`y`
62.5%	2	`x`
63.3%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.3%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.0%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
31.6%	1	`x`
31.6%	1	`z`
31.6%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-1.06546279162611e-40	-4.829018130380502e-47
22.0ms	-9.754401132802839e+182	-5.2582119409702884e+181

Results

21.0ms	256×	0	valid
9.0ms	124×	0	invalid

Compiler

Compiled 574 to 412 computations (28.2% saved)

Precisions

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

ival-mult: 10.0ms (56.9% of total)

ival-add: 4.0ms (22.8% of total)

ival-sqrt: 3.0ms (17.1% of total)

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.921182029391127e-223	4.3894218494493316e-223

Results

5.0ms	64×	0	valid
1.0ms	18×	0	invalid

Compiler

Compiled 143 to 100 computations (30.1% saved)

Precisions

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

ival-mult: 2.0ms (55.2% of total)

ival-add: 1.0ms (27.6% of total)

ival-sqrt: 1.0ms (27.6% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-5.800802975931765e-238	-6.163137101347428e-260

Results

13.0ms	186×	0	invalid
18.0ms	176×	0	valid

Compiler

Compiled 298 to 225 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 9.0ms (44.6% of total)

ival-sqrt: 7.0ms (34.7% of total)

ival-add: 4.0ms (19.8% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	-5.800802975931765e-238	-6.163137101347428e-260

Results

13.0ms	184×	0	invalid
14.0ms	176×	0	valid

Compiler

Compiled 276 to 214 computations (22.5% saved)

Precisions

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

ival-mult: 9.0ms (57.2% of total)

ival-add: 4.0ms (25.4% of total)

ival-sqrt: 3.0ms (19.1% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-2.7463561453439294e-230	-5.800802975931765e-238

Results

14.0ms	170×	0	invalid
11.0ms	144×	0	valid

Compiler

Compiled 239 to 178 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (58.6% of total)

ival-add: 3.0ms (22% of total)

ival-sqrt: 2.0ms (14.7% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-5.808846799739133e-208	-2.7784125753439543e-212

Results

10.0ms	128×	0	valid
10.0ms	115×	0	invalid

Compiler

Compiled 199 to 152 computations (23.6% saved)

Precisions

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

ival-mult: 8.0ms (64% of total)

ival-add: 2.0ms (16% of total)

ival-sqrt: 2.0ms (16% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-5.808846799739133e-208	-2.7784125753439543e-212

Results

10.0ms	128×	0	valid
13.0ms	94×	0	invalid

Compiler

Compiled 183 to 144 computations (21.3% saved)

Precisions

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

ival-mult: 11.0ms (70.3% of total)

ival-add: 2.0ms (12.8% of total)

ival-sqrt: 2.0ms (12.8% of total)

const: 0.0ms (0% of total)

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

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative`
10×	`+-commutative`
6×	`sub-neg`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	717
1	105	717
2	114	717
3	122	717
4	126	717
5	127	717

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -52999999999999996343973986003244931163816859424449089508785769370524175736873938914278595811209395660384443170004258475248660058716704009767077413412093218382849492709109743182938112 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal -819538402572085/1606938044258990275541962092341162602522202993782792835301376 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z)))))
(if (<=.f64 z #s(literal 5339620932579571/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z))))
(if (<=.f64 y #s(literal -8586332977341725/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384 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))))
(if (<=.f64 y #s(literal -8586332977341725/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -2162810023923229/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -5306458323293439/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(if (<=.f64 y #s(literal -5306458323293439/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))

Outputs
(if (<=.f64 x #s(literal -52999999999999996343973986003244931163816859424449089508785769370524175736873938914278595811209395660384443170004258475248660058716704009767077413412093218382849492709109743182938112 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal -819538402572085/1606938044258990275541962092341162602522202993782792835301376 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z)))))
(if (<=.f64 x #s(literal -52999999999999996343973986003244931163816859424449089508785769370524175736873938914278595811209395660384443170004258475248660058716704009767077413412093218382849492709109743182938112 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))) (if (<=.f64 x #s(literal -819538402572085/1606938044258990275541962092341162602522202993782792835301376 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z)))))
(if (<=.f64 z #s(literal 5339620932579571/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z))))
(if (<=.f64 z #s(literal 5339620932579571/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z))))
(if (<=.f64 y #s(literal -8586332977341725/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384 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))))
(if (<=.f64 y #s(literal -8586332977341725/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x y)))))
(if (<=.f64 y #s(literal -8586332977341725/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 y))))
(if (<=.f64 y #s(literal -8586332977341725/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 y))))
(.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 x y) (*.f64 z (+.f64 x y)))))
(if (<=.f64 y #s(literal -2162810023923229/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -2162810023923229/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y)))))
(if (<=.f64 y #s(literal -5306458323293439/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(if (<=.f64 y #s(literal -5306458323293439/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y))))
(if (<=.f64 y #s(literal -5306458323293439/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(if (<=.f64 y #s(literal -5306458323293439/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))

soundness1.6s (11.8%)

Rules

873×	`fma-define`
843×	`fma-neg`
842×	`log1p-expm1-u`
842×	`expm1-log1p-u`
818×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	791	24548
1	2213	23785
2	7612	23497
0	20	138
1	284	138
2	4186	138
0	39	413
1	594	405
0	38	405
1	629	395
0	57	590
1	156	534
2	328	530
3	624	530
4	1291	530
5	1969	530
6	2919	530
7	3283	530
8	3342	530
9	3348	530
10	3348	530
0	1964	56249
1	6174	53984

Stop Event

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

Compiler

Compiled 887 to 495 computations (44.2% saved)

preprocess98.0ms (0.7%)

Compiler: Compiled 862 to 518 computations (39.9% saved)

analyze341.0ms (2.4%)

sample2.1s (15.1%)

preprocess156.0ms (1.1%)

explain207.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize117.0ms (0.8%)

series103.0ms (0.7%)

rewrite265.0ms (1.9%)

simplify306.0ms (2.2%)

eval190.0ms (1.4%)

prune158.0ms (1.1%)

localize751.0ms (5.4%)

series216.0ms (1.6%)

rewrite247.0ms (1.8%)

simplify1.1s (7.8%)

eval411.0ms (2.9%)

prune410.0ms (2.9%)

localize240.0ms (1.7%)

series284.0ms (2%)

rewrite230.0ms (1.6%)

simplify1.1s (7.6%)

eval494.0ms (3.5%)

prune514.0ms (3.7%)

localize322.0ms (2.3%)

series178.0ms (1.3%)

rewrite124.0ms (0.9%)

simplify363.0ms (2.6%)

eval230.0ms (1.6%)

prune206.0ms (1.5%)

regimes202.0ms (1.5%)

regimes102.0ms (0.7%)

regimes107.0ms (0.8%)

regimes18.0ms (0.1%)

regimes124.0ms (0.9%)

regimes24.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

bsearch46.0ms (0.3%)

bsearch10.0ms (0.1%)

bsearch50.0ms (0.4%)

bsearch43.0ms (0.3%)

bsearch38.0ms (0.3%)

bsearch31.0ms (0.2%)

bsearch31.0ms (0.2%)

simplify22.0ms (0.2%)

soundness1.6s (11.8%)

preprocess98.0ms (0.7%)

end0.0ms (0%)

Profiling