Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

analyze499.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
66.7%	49.9%	25%	0.1%	0%	25%	0%	7
66.7%	49.9%	25%	0.1%	0%	25%	0%	8
66.7%	49.9%	25%	0.1%	0%	25%	0%	9
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	10
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	11
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-sqrt: 38.0ms (45% of total)

const: 21.0ms (24.9% of total)

ival-mult: 11.0ms (13% of total)

ival-div: 8.0ms (9.5% of total)

ival-add: 5.0ms (5.9% of total)

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

sample5.2s (18.3%)

Results

2.3s	8256×	0	valid
469.0ms	2049×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 747.0ms (45.5% of total)

ival-div: 310.0ms (18.9% of total)

ival-sqrt: 298.0ms (18.1% of total)

ival-add: 188.0ms (11.4% of total)

const: 93.0ms (5.7% of total)

backward-pass: 6.0ms (0.4% of total)

Bogosity

preprocess566.0ms (2%)

Algorithm

1×	egg-herbie

Rules

969×	`fma-neg`
453×	`fma-define`
244×	`unsub-neg`
182×	`distribute-lft-neg-in`
156×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	376
1	128	332
2	369	332
3	781	332
4	1343	332
5	2233	332
6	2744	332
7	3237	332
8	3551	332
9	3704	332
10	3785	332
11	3835	332
12	3835	332

Stop Event

1×

saturated

Calls

Call 1

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

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

explain287.0ms (1%)

FPErrors

Click to see full error table

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

Results

144.0ms

512×

valid

Compiler

Compiled 81 to 32 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 25.0ms (51.3% of total)

ival-mult: 12.0ms (24.6% of total)

ival-sqrt: 6.0ms (12.3% of total)

ival-add: 4.0ms (8.2% of total)

const: 2.0ms (4.1% of total)

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

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
▶	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize351.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(fma.f64 y (sqrt.f64 z) x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
✓	cost-diff	-6272	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	cost-diff	-6272	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 y (sqrt.f64 z))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.9%	(fma.f64 y (sqrt.f64 z) x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 z))

Rules

9×	`*-commutative`
9×	`fma-define`
2×	`distribute-rgt-in`
2×	`associate-r`
2×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	159
1	27	159
2	43	159
3	54	159

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

270.0ms

256×

valid

Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-add: 34.0ms (50.5% of total)

ival-fma: 20.0ms (29.7% of total)

ival-mult: 9.0ms (13.4% of total)

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

const: 1.0ms (1.5% of total)

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

series93.0ms (0.3%)

Counts

6 → 138

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
31.0ms	z	@	inf	(* y (sqrt z))
12.0ms	y	@	0	(* y (sqrt z))
2.0ms	z	@	-inf	(* y (sqrt z))
1.0ms	y	@	inf	(* 1/2 (+ x (* y (sqrt z))))
1.0ms	y	@	inf	(* y (sqrt z))

rewrite1.1s (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`prod-diff`
774×	`log1p-expm1-u`
774×	`expm1-log1p-u`
403×	`log-prod`
253×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	125
1	205	125
2	2202	125

Stop Event

1×	node limit

Counts

6 → 235

Calls

Call 1

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

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

simplify712.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

434×	`associate-/l*`
326×	`distribute-lft-neg-in`
325×	`cancel-sign-sub-inv`
316×	`distribute-rgt-neg-in`
291×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	13606
1	915	12430
2	3180	12316

Stop Event

1×	node limit

Counts

373 → 214

Calls

Call 1

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

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

eval97.0ms (0.3%)

Compiler: Compiled 3324 to 753 computations (77.3% saved)

prune148.0ms (0.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	236	9	245
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	236	11	247

Accuracy

100.0%

Counts

247 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
▶	88.8%	(.f64 y (.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
	88.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))))
▶	51.1%	(*.f64 x #s(literal 1/2 binary64))
	70.8%	(.f64 #s(literal 1/2 binary64) (fma.f64 (cbrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x))
✓	99.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
▶	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	78.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
▶	67.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
▶	83.6%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))

Compiler

Compiled 259 to 191 computations (26.3% saved)

localize1.3s (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))
✓	cost-diff	6592	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))))
✓	cost-diff	6592	(.f64 #s(literal 1/2 binary64) (+.f64 x (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
	cost-diff	-64	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 (sqrt.f64 z) (/.f64 x y))
✓	cost-diff	0	(*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	256	(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	cost-diff	6528	(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))))
	accuracy	99.7%	(*.f64 y (sqrt.f64 z))
✓	accuracy	99.6%	(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))
✓	accuracy	47.5%	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓	accuracy	98.8%	(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
✓	accuracy	83.8%	(.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
✓	accuracy	100.0%	(*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(+.f64 (sqrt.f64 z) (/.f64 x y))
✓	accuracy	88.8%	(.f64 y (.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.7%	(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.2%	(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))

Rules

1232×	`associate-/r/`
773×	`fma-define`
544×	`cube-prod`
542×	`associate-r`
474×	`associate-*r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	681
1	88	595
2	213	573
3	470	567
4	885	555
5	2270	555
6	5019	555
7	5567	555
8	5739	555
9	5988	555
10	6334	555
11	6817	555

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

529.0ms

256×

valid

Compiler

Compiled 184 to 32 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-sqrt: 150.0ms (52.7% of total)

ival-pow: 66.0ms (23.2% of total)

ival-mult: 46.0ms (16.1% of total)

ival-div: 10.0ms (3.5% of total)

ival-add: 8.0ms (2.8% of total)

ival-cbrt: 3.0ms (1.1% of total)

const: 2.0ms (0.7% of total)

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

series591.0ms (2.1%)

Counts

19 → 403

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
392.0ms	y	@	-inf	(cbrt (pow (* y (sqrt z)) 3))
27.0ms	z	@	0	(* y (* (+ (sqrt z) (/ x y)) 1/2))
22.0ms	x	@	0	(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
17.0ms	x	@	inf	(* (+ (sqrt z) (/ x y)) 1/2)
17.0ms	z	@	-inf	(+ x (cbrt (pow (* y (sqrt z)) 3)))

rewrite1.1s (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`log1p-expm1-u`
223×	`associate-r`
220×	`expm1-log1p-u`
215×	`add-cube-cbrt`
212×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	446
1	581	412
2	7034	412

Stop Event

1×	node limit

Counts

19 → 519

Calls

Call 1

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

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

simplify2.7s (9.4%)

Algorithm

1×	egg-herbie

Rules

463×	`fma-neg`
428×	`*-commutative`
323×	`fma-define`
247×	`exp-prod`
243×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1003	31131
1	2285	29643
2	6076	29373

Stop Event

1×	node limit

Counts

922 → 678

Calls

Call 1

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

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

eval537.0ms (1.9%)

Compiler: Compiled 12190 to 2979 computations (75.6% saved)

prune448.0ms (1.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	756	8	764
Fresh	3	1	4
Picked	3	2	5
Done	1	1	2
Total	763	12	775

Accuracy

100.0%

Counts

775 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
✓	88.8%	(.f64 y (.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
▶	77.5%	(.f64 y (.f64 (.f64 z (+.f64 (/.f64 x (.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
	77.4%	(.f64 y (.f64 (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (.f64 z y)))) #s(literal 1/2 binary64)))
	83.4%	(.f64 y (.f64 (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
	39.9%	(.f64 y (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓	51.1%	(*.f64 x #s(literal 1/2 binary64))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	41.9%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
▶	83.7%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
▶	43.9%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
▶	25.0%	(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 264 to 188 computations (28.8% saved)

localize1.1s (4%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (*.f64 z y))
✓	cost-diff	0	(+.f64 (/.f64 x (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	320	(.f64 z (+.f64 (/.f64 x (.f64 z y)) (pow.f64 z #s(literal -1/2 binary64))))
✓	cost-diff	320	(.f64 (.f64 z (+.f64 (/.f64 x (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(pow.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	192	(.f64 z (.f64 y (pow.f64 z #s(literal -1/2 binary64))))
✓	cost-diff	192	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
	cost-diff	0	(/.f64 x z)
✓	cost-diff	256	(*.f64 z (/.f64 x z))
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
✓	cost-diff	0	(/.f64 y (sqrt.f64 z))
✓	cost-diff	0	(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))
✓	cost-diff	192	(*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
✓	cost-diff	192	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
✓	accuracy	100.0%	(+.f64 (/.f64 x (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))
✓	accuracy	94.3%	(/.f64 x (*.f64 z y))
✓	accuracy	91.0%	(.f64 z (+.f64 (/.f64 x (.f64 z y)) (pow.f64 z #s(literal -1/2 binary64))))
✓	accuracy	88.8%	(.f64 y (.f64 (.f64 z (+.f64 (/.f64 x (.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(pow.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
✓	accuracy	99.6%	(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
✓	accuracy	85.5%	(.f64 z (.f64 y (pow.f64 z #s(literal -1/2 binary64))))
	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
✓	accuracy	78.9%	(*.f64 z (/.f64 x z))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.7%	(/.f64 y (sqrt.f64 z))
✓	accuracy	98.8%	(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))
✓	accuracy	83.8%	(*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))

Rules

1144×	`fma-define`
863×	`fabs-mul`
531×	`fabs-div`
436×	`associate-*r/`
410×	`unswap-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	637
1	72	607
2	193	597
3	412	509
4	820	474
5	1745	474
6	3649	474
7	5190	474
8	5945	474
9	6580	474
10	7597	474

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

286.0ms

256×

valid

Compiler

Compiled 166 to 26 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 55.0ms (46.7% of total)

ival-add: 34.0ms (28.9% of total)

ival-pow: 13.0ms (11% of total)

ival-div: 10.0ms (8.5% of total)

ival-sqrt: 4.0ms (3.4% of total)

ival-fabs: 2.0ms (1.7% of total)

const: 1.0ms (0.8% of total)

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

series174.0ms (0.6%)

Counts

16 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
21.0ms	y	@	-inf	(* 1/2 (* z (* y (pow z -1/2))))
17.0ms	x	@	0	(/ x (* z y))
13.0ms	z	@	0	(* 1/2 (* z (+ (/ y (sqrt z)) (/ x z))))
10.0ms	y	@	inf	(* y (* (* z (+ (/ x (* z y)) (pow z -1/2))) 1/2))
9.0ms	x	@	-inf	(+ (/ x (* z y)) (pow z -1/2))

rewrite827.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

324×	`associate-r`
249×	`log1p-expm1-u`
249×	`expm1-log1p-u`
243×	`add-exp-log`
242×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	517
1	542	467

Stop Event

1×	node limit

Counts

16 → 438

Calls

Call 1

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

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

simplify1.2s (4.3%)

Algorithm

1×	egg-herbie

Rules

525×	`fma-neg`
420×	`*-commutative`
381×	`times-frac`
335×	`fma-define`
325×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1057	29686
1	2495	27667
2	7533	27667

Stop Event

1×	node limit

Counts

894 → 696

Calls

Call 1

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

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

eval475.0ms (1.7%)

Compiler: Compiled 13905 to 3250 computations (76.6% saved)

prune514.0ms (1.8%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	851	7	858
Fresh	2	2	4
Picked	1	4	5
Done	0	3	3
Total	854	16	870

Accuracy

100.0%

Counts

870 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.3%	(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
	50.3%	(.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
✓	88.8%	(.f64 y (.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
✓	77.5%	(.f64 y (.f64 (.f64 z (+.f64 (/.f64 x (.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
▶	83.4%	(.f64 y (.f64 (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
	39.9%	(.f64 y (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓	51.1%	(*.f64 x #s(literal 1/2 binary64))
	43.7%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z y) (sqrt.f64 z)))
▶	41.4%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z x) z))
▶	43.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 (sqrt.f64 z) y)))
▶	41.3%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 z x))))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	83.7%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
	41.8%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
✓	43.9%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
✓	25.0%	(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 286 to 207 computations (27.6% saved)

localize1.0s (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 (sqrt.f64 z) y)
✓	cost-diff	0	(/.f64 z (/.f64 (sqrt.f64 z) y))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 (sqrt.f64 z) y)))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	128	(/.f64 z (*.f64 z x))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x)))
✓	cost-diff	384	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 z x))))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) z)
✓	cost-diff	256	(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	256	(/.f64 (*.f64 z x) z)
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z x) z))
✓	cost-diff	0	(/.f64 (sqrt.f64 z) x)
✓	cost-diff	0	(+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	256	(*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	256	(.f64 (.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 (sqrt.f64 z) y)))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.7%	(/.f64 (sqrt.f64 z) y)
✓	accuracy	84.8%	(/.f64 z (/.f64 (sqrt.f64 z) y))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 z x))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x)))
✓	accuracy	79.0%	(/.f64 z (*.f64 z x))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) z)
✓	accuracy	79.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z x) z))
✓	accuracy	79.1%	(/.f64 (*.f64 z x) z)
✓	accuracy	100.0%	(+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.7%	(/.f64 (sqrt.f64 z) x)
✓	accuracy	94.0%	(*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	88.8%	(.f64 y (.f64 (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))

Rules

996×	`fma-define`
770×	`cube-prod`
542×	`distribute-lft-in`
540×	`distribute-rgt-in`
419×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	508
1	72	442
2	176	439
3	448	394
4	1969	384
5	3869	384
6	5816	384
7	6055	384
8	6342	384
9	6781	384
10	7413	384

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

280.0ms

256×

valid

Compiler

Compiled 147 to 25 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 54.0ms (48.7% of total)

ival-div: 49.0ms (44.2% of total)

ival-sqrt: 4.0ms (3.6% of total)

ival-add: 2.0ms (1.8% of total)

const: 1.0ms (0.9% of total)

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

series167.0ms (0.6%)

Counts

17 → 408

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
33.0ms	x	@	inf	(/ 1 (/ z (* z x)))
21.0ms	z	@	inf	(* y (* (* x (+ (/ (sqrt z) x) (/ 1 y))) 1/2))
18.0ms	z	@	-inf	(* y (* (* x (+ (/ (sqrt z) x) (/ 1 y))) 1/2))
16.0ms	x	@	-inf	(+ (/ (sqrt z) x) (/ 1 y))
16.0ms	z	@	0	(* (* x (+ (/ (sqrt z) x) (/ 1 y))) 1/2)

rewrite850.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`log1p-expm1-u`
241×	`associate-r`
224×	`expm1-log1p-u`
222×	`add-exp-log`
221×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	454
1	534	331
2	7988	331

Stop Event

1×	node limit

Counts

17 → 648

Calls

Call 1

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

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

simplify1.0s (3.6%)

Algorithm

1×	egg-herbie

Rules

582×	`exp-prod`
559×	`associate-/l*`
357×	`associate-/r/`
348×	`fma-neg`
284×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1148	24298
1	2748	23614
2	7142	23614

Stop Event

1×	node limit

Counts

1056 → 713

Calls

Call 1

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

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

eval394.0ms (1.4%)

Compiler: Compiled 11134 to 2758 computations (75.2% saved)

prune606.0ms (2.1%)

Pruning

24 alts after pruning (13 fresh and 11 done)

	Pruned	Kept	Total
New	783	9	792
Fresh	0	4	4
Picked	1	4	5
Done	0	7	7
Total	784	24	808

Accuracy

100.0%

Counts

808 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.2%	(/.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
✓	42.3%	(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
	42.2%	(/.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) x) z))
	50.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
	41.2%	(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
	41.3%	(.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 x z))
	50.3%	(.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
	41.8%	(*.f64 z (/.f64 #s(literal 1/2 binary64) (/.f64 z x)))
	41.9%	(.f64 z (.f64 (/.f64 x z) #s(literal 1/2 binary64)))
✓	88.8%	(.f64 y (.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
✓	77.5%	(.f64 y (.f64 (.f64 z (+.f64 (/.f64 x (.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
✓	83.4%	(.f64 y (.f64 (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
	39.9%	(.f64 y (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓	51.1%	(*.f64 x #s(literal 1/2 binary64))
	43.7%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z y) (sqrt.f64 z)))
✓	43.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 (sqrt.f64 z) y)))
✓	41.3%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 z x))))
	41.1%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)))
	42.1%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x))))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	83.7%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
	41.8%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
✓	43.9%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
✓	25.0%	(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 609 to 327 computations (46.3% saved)

regimes225.0ms (0.8%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

7 calls:

46.0ms	z
46.0ms	y
38.0ms	(sqrt.f64 z)
34.0ms	x
30.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.9%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.9%	1	`(*.f64 y (sqrt.f64 z))`
99.9%	1	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes225.0ms (0.8%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

7 calls:

51.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
40.0ms	(sqrt.f64 z)
33.0ms	z
27.0ms	x
26.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.9%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.9%	1	`(*.f64 y (sqrt.f64 z))`
99.9%	1	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes116.0ms (0.4%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

5 calls:

30.0ms	(*.f64 y (sqrt.f64 z))
27.0ms	(sqrt.f64 z)
25.0ms	y
23.0ms	x
8.0ms	z

Results

Accuracy	Segments	Branch
77.4%	3	`x`
73.1%	3	`y`
62.1%	2	`z`
76.4%	3	`(*.f64 y (sqrt.f64 z))`
62.1%	2	`(sqrt.f64 z)`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes59.0ms (0.2%)

Accuracy

Total -22.5b remaining (-71.7%)

Threshold costs -22.5b (-71.7%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(*.f64 x #s(literal 1/2 binary64))

Calls

3 calls:

25.0ms	x
24.0ms	y
8.0ms	z

Results

Accuracy	Segments	Branch
51.1%	1	`z`
51.1%	1	`y`
51.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch163.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
63.0ms	1.0723436470974037e-71	5.496634131269917e-68
64.0ms	-3938436611585387.0	-13882434320999.027

Results

69.0ms

256×

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

Precisions

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

ival-mult: 19.0ms (66.2% of total)

ival-div: 3.0ms (10.5% of total)

ival-sqrt: 3.0ms (10.5% of total)

ival-add: 2.0ms (7% of total)

const: 1.0ms (3.5% of total)

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`fabs-mul`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	141
1	41	141
2	42	141

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 x #s(literal -70000000000000 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 1639126877815459/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64))) (fabs.f64 (.f64 x #s(literal 1/2 binary64)))))
(*.f64 x #s(literal 1/2 binary64))

Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 x #s(literal -70000000000000 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 1639126877815459/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64))) (fabs.f64 (.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -70000000000000 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 1639126877815459/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) y)) (fabs.f64 (.f64 #s(literal 1/2 binary64) x))))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)

soundness3.5s (12.3%)

Rules

969×	`fma-neg`
712×	`log1p-expm1-u`
463×	`fma-neg`
453×	`fma-define`
434×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1003	31131
1	2285	29643
2	6076	29373
0	37	446
1	581	412
2	7034	412
0	401	13606
1	915	12430
2	3180	12316
0	44	376
1	128	332
2	369	332
3	781	332
4	1343	332
5	2233	332
6	2744	332
7	3237	332
8	3551	332
9	3704	332
10	3785	332
11	3835	332
12	3835	332

Stop Event

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

Compiler

Compiled 235 to 112 computations (52.3% saved)

preprocess142.0ms (0.5%)

Compiler: Compiled 110 to 60 computations (45.5% saved)

analyze499.0ms (1.7%)

sample5.2s (18.3%)

preprocess566.0ms (2%)

explain287.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize351.0ms (1.2%)

series93.0ms (0.3%)

rewrite1.1s (3.9%)

simplify712.0ms (2.5%)

eval97.0ms (0.3%)

prune148.0ms (0.5%)

localize1.3s (4.6%)

series591.0ms (2.1%)

rewrite1.1s (3.7%)

simplify2.7s (9.4%)

eval537.0ms (1.9%)

prune448.0ms (1.6%)

localize1.1s (4%)

series174.0ms (0.6%)

rewrite827.0ms (2.9%)

simplify1.2s (4.3%)

eval475.0ms (1.7%)

prune514.0ms (1.8%)

localize1.0s (3.5%)

series167.0ms (0.6%)

rewrite850.0ms (3%)

simplify1.0s (3.6%)

eval394.0ms (1.4%)

prune606.0ms (2.1%)

regimes225.0ms (0.8%)

regimes225.0ms (0.8%)

regimes116.0ms (0.4%)

regimes59.0ms (0.2%)

bsearch163.0ms (0.6%)

simplify8.0ms (0%)

soundness3.5s (12.3%)

preprocess142.0ms (0.5%)

end0.0ms (0%)

Profiling