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

analyze273.0ms (2.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
26.2%	25%	70.2%	0.1%	0%	4.7%	0%	9
28.9%	25%	61.4%	0.1%	0%	13.5%	0%	10
31.2%	26.3%	58%	0.1%	0%	15.5%	0%	11
37.2%	28.9%	48.7%	0.1%	0%	22.3%	0%	12

Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

Operation ival-mult, time spent: 74.0ms, 57.0% of total-time

Operation ival-add, time spent: 28.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 25.0ms, 19.0% of total-time

Operation const, time spent: 4.0ms, 3.0% of total-time

sample2.4s (20%)

Results

1.4s	8256×	256	valid
494.0ms	4521×	256	invalid

Precisions

Click to see histograms. Total time spent on operations: 883.0ms

Operation ival-mult, time spent: 482.0ms, 55.0% of total-time

Operation ival-sqrt, time spent: 227.0ms, 26.0% of total-time

Operation ival-add, time spent: 153.0ms, 17.0% of total-time

Operation const, time spent: 21.0ms, 2.0% of total-time

Bogosity

preprocess537.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
76	-	1	(5.758924709639893e-304 1.5501873517522468e-284 3.733959961387184e-38)	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
6	-	0	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
3	-	0	-	`(+.f64 (.f64 x y) (.f64 x z))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(*.f64 x z)`
0	-	0	-	`z`

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)

Results

79.0ms

512×

256

valid

Compiler

Compiled 139 to 37 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

Operation ival-mult, time spent: 22.0ms, 67.0% of total-time

Operation ival-add, time spent: 6.0ms, 18.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 12.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

eval1.0ms (0%)

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

prune6.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z)))))
▶	71.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
▶	71.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))

Status

Accuracy

Program

▶

72.0%

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

▶

71.8%

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

▶

71.9%

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

localize117.0ms (1%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 y (+.f64 x z))
✓	100.0%	(fma.f64 x z (*.f64 y (+.f64 x z)))
✓	72.0%	(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
✓	99.0%	(+.f64 (.f64 x y) (.f64 x z))
✓	98.1%	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
✓	72.0%	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
✓	100.0%	(*.f64 z (+.f64 y x))
✓	98.1%	(+.f64 (.f64 x y) (.f64 z (+.f64 y x)))
✓	72.0%	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))

Results

74.0ms

256×

256

valid

Compiler

Compiled 147 to 27 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

Operation ival-mult, time spent: 19.0ms, 48.0% of total-time

Operation ival-add, time spent: 10.0ms, 25.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 15.0% of total-time

Operation composed, time spent: 4.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

series158.0ms (1.3%)

Counts

9 → 306

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

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)))>
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#<alt (*.f64 x z)>
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#<alt (+.f64 (.f64 x y) (.f64 y z))>
#<alt (*.f64 x y)>
#<alt (.f64 x (+.f64 y (/.f64 (.f64 y z) x)))>
#<alt (.f64 x (+.f64 y (/.f64 (.f64 y z) x)))>
#<alt (.f64 x (+.f64 y (/.f64 (.f64 y z) x)))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (.f64 x y) (.f64 y z))>
#<alt (+.f64 (.f64 x y) (.f64 y z))>
#<alt (+.f64 (.f64 x y) (.f64 y z))>
#<alt (*.f64 y z)>
#<alt (.f64 z (+.f64 y (/.f64 (.f64 x y) z)))>
#<alt (.f64 z (+.f64 y (/.f64 (.f64 x y) z)))>
#<alt (.f64 z (+.f64 y (/.f64 (.f64 x y) z)))>
#<alt (*.f64 y z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>

Calls

81 calls:

Time	Variable		Point	Expression
102.0ms	y	@	inf	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
4.0ms	x	@	inf	(sqrt (+ (* x y) (* z (+ y x))))
2.0ms	x	@	-inf	(sqrt (+ (* x y) (* z (+ y x))))
2.0ms	z	@	-inf	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
2.0ms	y	@	-inf	(sqrt (+ (* x y) (* z (+ y x))))

rewrite436.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1211×	`log1p-expm1-u`
185×	`add-cube-cbrt`
185×	`expm1-log1p-u`
181×	`add-exp-log`
181×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	294
1	403	294
2	6109	294

Stop Event

1×	node limit

Counts

9 → 396

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

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

simplify354.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

800×	`associate-r`
667×	`associate-l`
612×	`fma-define`
436×	`distribute-rgt-in`
435×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	871	46588
1	2451	44815

Stop Event

1×	node limit

Counts

702 → 491

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

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

eval313.0ms (2.6%)

Compiler: Compiled 12836 to 6362 computations (50.4% saved)

prune177.0ms (1.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	473	18	491
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	476	18	494

Accuracy

86.0%

Counts

494 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.5%	(.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))))
	71.5%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	70.7%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z))))) #s(literal 3 binary64)))
	42.6%	(.f64 #s(literal 2 binary64) (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
	41.1%	(.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 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))))))
	34.2%	(.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)))))))))
	71.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
▶	71.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 y (+.f64 x z)) (*.f64 x z))))
	39.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
▶	37.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x))))
	59.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
	3.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
	35.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z)))
▶	37.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
	56.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z))))
▶	67.0%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))))
	47.7%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) (.f64 y x)) #s(literal 3/2 binary64))))

Compiler

Compiled 626 to 432 computations (31% saved)

localize272.0ms (2.2%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x))
✓	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 z x))
✓	93.5%	(sqrt.f64 (*.f64 z x))
✓	93.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
	100.0%	(fma.f64 x z (*.f64 y (+.f64 x z)))
✓	95.8%	(exp.f64 (.f64 (log.f64 (fma.f64 x z (.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
✓	85.0%	(log.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
✓	89.7%	(sqrt.f64 (*.f64 z (+.f64 y x)))
✓	85.3%	(sqrt.f64 (*.f64 y x))
✓	100.0%	(+.f64 (.f64 y (+.f64 x z)) (.f64 x z))
✓	85.3%	(sqrt.f64 (+.f64 (.f64 y (+.f64 x z)) (.f64 x z)))

Results

93.0ms	131×	256	valid
85.0ms	125×	256	invalid

Compiler

Compiled 246 to 73 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

Operation ival-mult, time spent: 56.0ms, 45.0% of total-time

Operation ival-sqrt, time spent: 17.0ms, 14.0% of total-time

Operation ival-div, time spent: 14.0ms, 11.0% of total-time

Operation composed, time spent: 12.0ms, 10.0% of total-time

Operation ival-add, time spent: 10.0ms, 8.0% of total-time

Operation ival-exp, time spent: 7.0ms, 6.0% of total-time

Operation ival-log, time spent: 5.0ms, 4.0% of total-time

Operation const, time spent: 4.0ms, 3.0% of total-time

series56.0ms (0.5%)

Counts

10 → 300

Calls

Call 1

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

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

Calls

75 calls:

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

rewrite322.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1093×	`log1p-expm1-u`
197×	`associate-r`
196×	`add-exp-log`
196×	`expm1-log1p-u`
195×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	299
1	535	289
2	6343	289

Stop Event

1×	node limit

Counts

10 → 303

Calls

Call 1

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

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

simplify447.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

873×	`fma-define`
463×	`distribute-lft-in`
461×	`distribute-rgt-in`
447×	`times-frac`
387×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1249	36223
1	3392	34530

Stop Event

1×	node limit

Counts

603 → 674

Calls

Call 1

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

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

eval593.0ms (4.9%)

Compiler: Compiled 18419 to 9757 computations (47% saved)

prune378.0ms (3.1%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	664	14	678
Fresh	7	6	13
Picked	2	3	5
Done	0	0	0
Total	673	23	696

Accuracy

98.1%

Counts

696 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.0%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
▶	36.8%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
▶	36.5%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
	36.3%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)))
	49.2%	(.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)))
	36.6%	(.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 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
	41.1%	(.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 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))))))
	36.3%	(.f64 #s(literal 2 binary64) (.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)))))))))
✓	71.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 y (+.f64 x z)) (*.f64 x z))))
	39.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
✓	37.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x))))
▶	59.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
	35.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
▶	3.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
✓	37.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
	56.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
	45.4%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
	3.6%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
	24.9%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
	25.1%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))

Compiler

Compiled 645 to 475 computations (26.4% saved)

localize213.0ms (1.8%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.8%	(cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))
✓	99.7%	(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))
	93.5%	(sqrt.f64 (*.f64 z (+.f64 y x)))
✓	99.8%	(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	93.3%	(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
✓	99.9%	(*.f64 (sqrt.f64 y) (sqrt.f64 x))
	97.3%	(sqrt.f64 (*.f64 z x))
✓	99.9%	(*.f64 x (/.f64 y z))
✓	93.5%	(sqrt.f64 (.f64 z (+.f64 x (+.f64 y (.f64 x (/.f64 y z))))))

Results

109.0ms	196×	256	invalid
32.0ms	60×	256	valid

Compiler

Compiled 178 to 51 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

Operation ival-pow, time spent: 35.0ms, 39.0% of total-time

Operation ival-mult, time spent: 30.0ms, 34.0% of total-time

Operation ival-sqrt, time spent: 10.0ms, 11.0% of total-time

Operation ival-add, time spent: 6.0ms, 7.0% of total-time

Operation ival-div, time spent: 3.0ms, 3.0% of total-time

Operation const, time spent: 3.0ms, 3.0% of total-time

Operation ival-cbrt, time spent: 2.0ms, 2.0% of total-time

series190.0ms (1.6%)

Counts

7 → 216

Calls

Call 1

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

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)))))))))>
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#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) 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 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/1296 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/72 binary64) (pow.f64 x #s(literal 3 binary64)))))) y)) (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/72 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)) (.f64 #s(literal -1/6 binary64) (.f64 x (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))))) y)))>
#<alt (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/6 binary64))>
#<alt (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/6 binary64)) x)) (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/6 binary64)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal -5/72 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 11 binary64))) #s(literal 1/6 binary64)) x)) (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/6 binary64))))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/6 binary64)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/6 binary64))) (.f64 x (+.f64 (.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 11 binary64))) #s(literal 1/6 binary64))) (.f64 #s(literal 55/1296 binary64) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 17 binary64))) #s(literal 1/6 binary64)) x)))))) (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/6 binary64)))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 z) (.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 z) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 y (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 z) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 z) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 y (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 z) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 z) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/72 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 z) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 y (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 z) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 z) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/72 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 z) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/72 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/18 binary64) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (*.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 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 y (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/72 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (.f64 #s(literal -1/6 binary64) (.f64 y (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) x)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/18 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/1296 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/72 binary64) (pow.f64 y #s(literal 3 binary64)))))) x)) (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/72 binary64) (pow.f64 y #s(literal 2 binary64)))))) x)) (.f64 #s(literal -1/6 binary64) (.f64 y (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) x)))>

Calls

54 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(pow (* y x) 1/4)
31.0ms	y	@	0	(pow (* y x) 1/4)
20.0ms	z	@	0	(cbrt (sqrt (* z (+ y x))))
16.0ms	x	@	-inf	(pow (* y x) 1/4)
14.0ms	y	@	-inf	(pow (* y x) 1/4)

rewrite182.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`log1p-expm1-u`
196×	`associate-r`
196×	`expm1-log1p-u`
185×	`add-exp-log`
185×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	184
1	461	178
2	6226	178

Stop Event

1×	node limit

Counts

7 → 177

Calls

Call 1

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

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

simplify408.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

815×	`associate-r`
719×	`fma-define`
405×	`distribute-lft-in`
403×	`distribute-rgt-in`
380×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	989	20419
1	2599	19525
2	7446	19257

Stop Event

1×	node limit

Counts

393 → 440

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

eval1000.0ms (8.2%)

Compiler: Compiled 15099 to 9490 computations (37.1% saved)

prune170.0ms (1.4%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	542	11	553
Fresh	1	14	15
Picked	3	2	5
Done	0	3	3
Total	546	30	576

Accuracy

98.6%

Counts

576 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.0%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	44.8%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (pow.f64 z #s(literal 1/6 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
	36.7%	(.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 z (+.f64 x y)))) #s(literal 3 binary64)))
	44.7%	(.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)))
	36.6%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
	36.3%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)))
▶	3.6%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x z))) #s(literal 3 binary64)))
	49.2%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
▶	61.6%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z)))
▶	1.7%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 x)))
	36.6%	(.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 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
	41.1%	(.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 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))))))
	36.3%	(.f64 #s(literal 2 binary64) (.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)))))))))
	35.5%	(.f64 #s(literal 2 binary64) (.f64 y (+.f64 (sqrt.f64 (.f64 z (/.f64 (+.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))))))))))
✓	71.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 y (+.f64 x z)) (*.f64 x z))))
	35.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
✓	37.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x))))
	59.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (/.f64 x (/.f64 z y)))))))
	59.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))))))
✓	59.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
▶	35.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	3.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
✓	37.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
	56.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
▶	45.4%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
	3.6%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
	24.9%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
	25.1%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))

Compiler

Compiled 887 to 655 computations (26.2% saved)

localize271.0ms (2.2%)

Results

180.0ms

256×

256

invalid

Compiler

Compiled 203 to 71 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

Operation ival-mult, time spent: 22.0ms, 17.0% of total-time

Operation ival-log, time spent: 21.0ms, 16.0% of total-time

Operation ival-div, time spent: 19.0ms, 15.0% of total-time

Operation ival-exp, time spent: 19.0ms, 15.0% of total-time

Operation ival-sqrt, time spent: 11.0ms, 9.0% of total-time

Operation ival-pow, time spent: 11.0ms, 9.0% of total-time

Operation ival-sub, time spent: 7.0ms, 5.0% of total-time

Operation composed, time spent: 6.0ms, 5.0% of total-time

Operation ival-add, time spent: 5.0ms, 4.0% of total-time

Operation const, time spent: 4.0ms, 3.0% of total-time

Operation ival-cbrt, time spent: 2.0ms, 2.0% of total-time

Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune32.0ms (0.3%)

Pruning

30 alts after pruning (20 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	20	20
Picked	5	5
Done	5	5
Total	30	30

Accuracy

98.6%

Counts

30 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.0%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	44.8%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (pow.f64 z #s(literal 1/6 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
	36.7%	(.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 z (+.f64 x y)))) #s(literal 3 binary64)))
	44.7%	(.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)))
	36.6%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
	36.3%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)))
✓	3.6%	(.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x z))) #s(literal 3 binary64)))
	49.2%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
✓	61.6%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z)))
✓	1.7%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 x)))
	36.6%	(.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 (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
	41.1%	(.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 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))))))
	36.3%	(.f64 #s(literal 2 binary64) (.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)))))))))
	35.5%	(.f64 #s(literal 2 binary64) (.f64 y (+.f64 (sqrt.f64 (.f64 z (/.f64 (+.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))))))))))
✓	71.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 y (+.f64 x z)) (*.f64 x z))))
	35.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
✓	37.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x))))
	59.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (/.f64 x (/.f64 z y)))))))
	59.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))))))
✓	59.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
✓	35.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	3.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z x)))
✓	37.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
	56.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
✓	45.4%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
	3.6%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
	24.9%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
	25.1%	(.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))

Compiler

Compiled 1071 to 684 computations (36.1% saved)

regimes169.0ms (1.4%)

Counts

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

Outputs

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

45.0ms	x
31.0ms	y
24.0ms	z
22.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
22.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Results

Accuracy	Segments	Branch
93.4%	5	`x`
96.8%	3	`y`
92.9%	2	`z`
85.8%	2	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
85.8%	2	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
85.8%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes119.0ms (1%)

Counts

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

Outputs
(.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

3 calls:

72.0ms	z
25.0ms	x
17.0ms	y

Results

Accuracy	Segments	Branch
83.9%	4	`x`
86.4%	2	`z`
86.4%	2	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes38.0ms (0.3%)

Counts

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

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

Calls

2 calls:

17.0ms	z
17.0ms	y

Results

Accuracy	Segments	Branch
85.8%	2	`y`
85.8%	2	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.1%)

Counts

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

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
85.8%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes40.0ms (0.3%)

Counts

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

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

Calls

6 calls:

9.0ms	z
7.0ms	y
6.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
5.0ms	x
5.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
71.9%	1	`x`
71.9%	1	`z`
71.9%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
71.9%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
71.9%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
71.9%	1	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes46.0ms (0.4%)

Counts

8 → 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) (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:

24.0ms	x
16.0ms	y
5.0ms	z

Results

Accuracy	Segments	Branch
71.8%	2	`y`
67.4%	2	`z`
66.7%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (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:

4.0ms

Results

Accuracy	Segments	Branch
70.8%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

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:

16.0ms

Results

Accuracy	Segments	Branch
69.9%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

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:

1.0ms	x
0.0ms	y
0.0ms	z

Results

Accuracy	Segments	Branch
37.0%	1	`x`
37.0%	1	`z`
37.0%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch182.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
151.0ms	-8.17073019536475e-257	1.5501873517522468e-284
26.0ms	-4.307956658516659e+75	-1.5539812389405805e+75

Results

30.0ms	272×	256	valid
21.0ms	223×	256	invalid

Compiler

Compiled 606 to 427 computations (29.5% saved)

Precisions

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

Operation ival-mult, time spent: 14.0ms, 58.0% of total-time

Operation ival-add, time spent: 6.0ms, 25.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 16.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
26.0ms	1.7218893155581427e-54	1.7021511775778223e-48

Results

5.0ms	48×	256	valid
2.0ms	20×	256	invalid

Compiler

Compiled 125 to 85 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

Operation ival-mult, time spent: 2.0ms, 58.0% of total-time

Operation ival-add, time spent: 1.0ms, 29.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 29.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch62.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
59.0ms	-8.17073019536475e-257	1.5501873517522468e-284

Results

33.0ms	192×	256	valid
13.0ms	155×	256	invalid

Compiler

Compiled 359 to 256 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

Operation ival-mult, time spent: 22.0ms, 75.0% of total-time

Operation ival-add, time spent: 4.0ms, 14.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch80.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
76.0ms	-8.17073019536475e-257	1.5501873517522468e-284

Results

17.0ms	196×	256	invalid
23.0ms	192×	256	valid

Compiler

Compiled 323 to 244 computations (24.5% saved)

Precisions

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

Operation ival-mult, time spent: 11.0ms, 58.0% of total-time

Operation ival-add, time spent: 4.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 16.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch61.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	-8.17073019536475e-257	1.5501873517522468e-284

Results

20.0ms	222×	256	invalid
23.0ms	192×	256	valid

Compiler

Compiled 311 to 232 computations (25.4% saved)

Precisions

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

Operation ival-mult, time spent: 12.0ms, 57.0% of total-time

Operation ival-add, time spent: 5.0ms, 24.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 14.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch51.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	-8.17073019536475e-257	1.5501873517522468e-284

Results

23.0ms	192×	256	valid
14.0ms	166×	256	invalid

Compiler

Compiled 287 to 220 computations (23.3% saved)

Precisions

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

Operation ival-mult, time spent: 12.0ms, 62.0% of total-time

Operation ival-add, time spent: 4.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 16.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch194.0ms (1.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
190.0ms	-8.17073019536475e-257	1.5501873517522468e-284

Results

154.0ms	197×	256	invalid
25.0ms	192×	256	valid

Compiler

Compiled 263 to 208 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

Operation ival-mult, time spent: 142.0ms, 95.0% of total-time

Operation ival-add, time spent: 4.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 2.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	758
1	108	758
2	117	758
3	125	758
4	129	758
5	130	758

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -1560000000000000030026482618619795119450321326415804131127997855308720373760 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 1255674149046407/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 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 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 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 y #s(literal 1841655418601397/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 1255674149046407/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -6131221430890659/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 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 1255674149046407/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 y #s(literal -1560000000000000030026482618619795119450321326415804131127997855308720373760 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 1255674149046407/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 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 y #s(literal -1560000000000000030026482618619795119450321326415804131127997855308720373760 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (-.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 1255674149046407/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 y x) (.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 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 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 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 y x) (.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 y #s(literal 1841655418601397/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 x z))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 1841655418601397/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (.f64 y (+.f64 z x))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 y x)))))
(if (<=.f64 y #s(literal 1255674149046407/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 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 1255674149046407/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 y x)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 y x) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -6131221430890659/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 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 1255674149046407/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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)))

soundness1.4s (11.9%)

Rules

1211×	`log1p-expm1-u`
1140×	`log1p-expm1-u`
1093×	`log1p-expm1-u`
873×	`fma-define`
843×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	294
1	403	294
2	6109	294
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	33	299
1	535	289
2	6343	289
0	1249	36223
1	3392	34530
0	30	184
1	461	178
2	6226	178
0	871	46588
1	2451	44815

Stop Event

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

Compiler

Compiled 1021 to 487 computations (52.3% saved)

preprocess213.0ms (1.8%)

Compiler: Compiled 776 to 450 computations (42% saved)

analyze273.0ms (2.2%)

sample2.4s (20%)

preprocess537.0ms (4.4%)

eval1.0ms (0%)

prune6.0ms (0.1%)

localize117.0ms (1%)

series158.0ms (1.3%)

rewrite436.0ms (3.6%)

simplify354.0ms (2.9%)

eval313.0ms (2.6%)

prune177.0ms (1.5%)

localize272.0ms (2.2%)

series56.0ms (0.5%)

rewrite322.0ms (2.7%)

simplify447.0ms (3.7%)

eval593.0ms (4.9%)

prune378.0ms (3.1%)

localize213.0ms (1.8%)

series190.0ms (1.6%)

rewrite182.0ms (1.5%)

simplify408.0ms (3.4%)

eval1000.0ms (8.2%)

prune170.0ms (1.4%)

localize271.0ms (2.2%)

eval0.0ms (0%)

prune32.0ms (0.3%)

regimes169.0ms (1.4%)

regimes119.0ms (1%)

regimes38.0ms (0.3%)

regimes14.0ms (0.1%)

regimes40.0ms (0.3%)

regimes46.0ms (0.4%)

regimes5.0ms (0%)

regimes17.0ms (0.1%)

regimes2.0ms (0%)

bsearch182.0ms (1.5%)

bsearch27.0ms (0.2%)

bsearch62.0ms (0.5%)

bsearch80.0ms (0.7%)

bsearch61.0ms (0.5%)

bsearch51.0ms (0.4%)

bsearch194.0ms (1.6%)

simplify27.0ms (0.2%)

soundness1.4s (11.9%)

preprocess213.0ms (1.8%)

end0.0ms (0%)

Profiling