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

analyze61.0ms (0.9%)

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: 23.0ms

ival-div: 7.0ms (31% of total)

ival-mult: 7.0ms (31% of total)

ival-sqrt: 4.0ms (17.7% of total)

ival-add: 3.0ms (13.3% of total)

const: 1.0ms (4.4% of total)

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

sample1.3s (18.9%)

Results

715.0ms	8256×	0	valid
182.0ms	2046×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 533.0ms

ival-div: 199.0ms (37.3% of total)

ival-mult: 155.0ms (29.1% of total)

ival-sqrt: 104.0ms (19.5% of total)

ival-add: 55.0ms (10.3% of total)

const: 18.0ms (3.4% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess189.0ms (2.7%)

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))

explain84.0ms (1.2%)

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

51.0ms

512×

valid

Compiler

Compiled 81 to 32 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (46.1% of total)

ival-div: 4.0ms (18.4% of total)

ival-sqrt: 4.0ms (18.4% of total)

ival-add: 3.0ms (13.8% of total)

const: 1.0ms (4.6% of total)

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

eval0.0ms (0%)

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

prune1.0ms (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))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 7 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))

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

localize97.0ms (1.4%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	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))

Results

30.0ms

256×

valid

Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions

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

ival-mult: 6.0ms (47.7% of total)

ival-fma: 3.0ms (23.9% of total)

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

ival-add: 1.0ms (8% of total)

const: 0.0ms (0% of total)

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

series20.0ms (0.3%)

Counts

6 → 138

Calls

Call 1

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

Calls

45 calls:

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

rewrite313.0ms (4.5%)

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	2197	125

Stop Event

1×	node limit

Counts

6 → 235

Calls

Call 1

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

simplify173.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

427×	`associate-/l*`
331×	`distribute-lft-neg-in`
318×	`cancel-sign-sub-inv`
316×	`distribute-rgt-neg-in`
295×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	13640
1	915	12464
2	3182	12336

Stop Event

1×	node limit

Counts

373 → 216

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

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

eval31.0ms (0.4%)

Compiler: Compiled 3372 to 757 computations (77.6% saved)

prune43.0ms (0.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	234	13	247
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	235	14	249

Accuracy

100.0%

Counts

249 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
	90.0%	(.f64 (.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
	53.0%	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
	88.3%	(.f64 x (fma.f64 (.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
▶	88.4%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
▶	99.6%	(.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
▶	52.1%	(.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
	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)))))
	99.4%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z))))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	84.1%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
	59.2%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
	84.5%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
▶	48.7%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 355 to 256 computations (27.9% saved)

simplify256.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (*.f64 y (sqrt.f64 z)))
✓	cost-diff	6592	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)))
✓	cost-diff	6592	(.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
✓	cost-diff	-6272	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
✓	cost-diff	0	(pow.f64 z #s(literal 3/2 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
✓	cost-diff	0	(*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 (/.f64 y x) (sqrt.f64 z))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 z)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
✓	cost-diff	0	(pow.f64 z #s(literal 1/4 binary64))
✓	cost-diff	6656	(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
✓	cost-diff	6656	(.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))

Rules

2343×	`associate-/l/`
1929×	`associate-/l*`
696×	`fma-define`
415×	`associate-/r*`
408×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	629
1	70	597
2	141	522
3	297	512
4	480	512
5	756	512
6	1983	512
7	2845	512
8	3627	512
9	3710	512
10	3743	512
11	3787	512
12	3788	512
13	3797	512
14	4051	512
15	4426	512
16	4544	512
17	4664	512
18	4667	512
19	4676	512
20	4676	512
21	6978	512
22	7413	512

Stop Event

1×	node limit

Calls

Call 1

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

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

localize144.0ms (2.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(sqrt.f64 z)
	accuracy	99.9%	(*.f64 y (sqrt.f64 z))
✓	accuracy	99.6%	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
✓	accuracy	93.8%	(sqrt.f64 (*.f64 y (sqrt.f64 z)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
✓	accuracy	100.0%	(pow.f64 z #s(literal 3/2 binary64))
✓	accuracy	99.9%	(*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))
✓	accuracy	84.1%	(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 z)))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	98.4%	(*.f64 (/.f64 y x) (sqrt.f64 z))
✓	accuracy	94.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
✓	accuracy	100.0%	(pow.f64 z #s(literal 1/4 binary64))
✓	accuracy	99.9%	(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
✓	accuracy	99.8%	(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)

Results

61.0ms	126×	0	valid
45.0ms	130×	0	invalid

Compiler

Compiled 168 to 29 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 23.0ms (37.8% of total)

ival-pow: 22.0ms (36.2% of total)

ival-add: 4.0ms (6.6% of total)

ival-sqrt: 4.0ms (6.6% of total)

ival-fma: 3.0ms (4.9% of total)

ival-div: 2.0ms (3.3% of total)

ival-cbrt: 2.0ms (3.3% of total)

const: 1.0ms (1.6% of total)

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

series175.0ms (2.5%)

Counts

17 → 349

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
32.0ms	z	@	0	(pow z 1/4)
30.0ms	y	@	0	(* (pow z 1/4) y)
20.0ms	z	@	-inf	(pow z 1/4)
17.0ms	z	@	-inf	(* 1/2 (* (/ y x) (sqrt z)))
8.0ms	z	@	0	(sqrt (* y (sqrt z)))

rewrite224.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log1p-expm1-u`
256×	`associate-r`
240×	`expm1-log1p-u`
227×	`pow1`
221×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	461
1	557	354
2	7404	354

Stop Event

1×	node limit

Counts

17 → 428

Calls

Call 1

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

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

simplify289.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

495×	`cancel-sign-sub-inv`
477×	`distribute-lft-neg-in`
351×	`fma-neg`
327×	`*-commutative`
276×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	771	25346
1	1676	23938
2	4474	23838

Stop Event

1×	node limit

Counts

777 → 496

Calls

Call 1

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

eval90.0ms (1.3%)

Compiler: Compiled 9375 to 2379 computations (74.6% saved)

prune91.0ms (1.3%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	600	5	605
Fresh	3	5	8
Picked	2	3	5
Done	0	1	1
Total	605	14	619

Accuracy

100.0%

Counts

619 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.0%	(.f64 (.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
	53.0%	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
	88.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))
✓	88.4%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
	88.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))))
	99.5%	(.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (cbrt.f64 (pow.f64 z #s(literal 3/4 binary64))) y) x))
▶	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
	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)))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	84.1%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
▶	59.2%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
▶	84.5%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
✓	48.7%	(*.f64 #s(literal 1/2 binary64) x)
▶	23.9%	(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 319 to 231 computations (27.6% saved)

simplify298.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z (pow.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 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	0	(/.f64 x y)
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(+.f64 (sqrt.f64 z) (/.f64 x y))
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
	cost-diff	0	(pow.f64 z #s(literal 1/4 binary64))
✓	cost-diff	384	(+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
✓	cost-diff	384	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓	cost-diff	6656	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))

Rules

1659×	`associate-/r*`
1061×	`fabs-mul`
763×	`fabs-div`
605×	`fma-define`
472×	`associate-*l/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	662
1	92	590
2	211	582
3	393	576
4	524	564
5	685	564
6	1436	564
7	3985	564
8	5482	564
9	5936	564
10	5949	564
11	5951	564
12	5951	564
13	5951	564
14	5991	564
15	5993	564
16	5993	564
17	5993	564

Stop Event

1×	node limit

Calls

Call 1

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

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

localize144.0ms (2.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
✓	accuracy	87.8%	(*.f64 z (pow.f64 y #s(literal 2 binary64)))
✓	accuracy	65.0%	(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 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	98.9%	(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
✓	accuracy	84.6%	(.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(+.f64 (sqrt.f64 z) (/.f64 x y))
✓	accuracy	90.0%	(.f64 (.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
	accuracy	100.0%	(pow.f64 z #s(literal 1/4 binary64))
✓	accuracy	100.0%	(+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
	accuracy	99.6%	(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
✓	accuracy	99.5%	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))

Results

97.0ms

256×

valid

Compiler

Compiled 181 to 32 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 22.0ms (42.5% of total)

ival-pow: 11.0ms (21.2% of total)

ival-div: 6.0ms (11.6% of total)

ival-sqrt: 6.0ms (11.6% of total)

ival-add: 5.0ms (9.6% of total)

ival-fabs: 2.0ms (3.9% of total)

const: 1.0ms (1.9% of total)

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

series61.0ms (0.9%)

Counts

18 → 355

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
16.0ms	z	@	0	(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
1.0ms	y	@	0	(* y (sqrt (/ 1 z)))
1.0ms	z	@	-inf	(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
1.0ms	z	@	0	(* (* y 1/2) (+ (sqrt z) (/ x y)))
1.0ms	x	@	inf	(+ (sqrt z) (/ x y))

rewrite143.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

309×	`associate-r`
283×	`log1p-expm1-u`
283×	`expm1-log1p-u`
277×	`add-exp-log`
277×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	518
1	626	378

Stop Event

1×	node limit

Counts

18 → 487

Calls

Call 1

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

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

simplify336.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

634×	`fma-neg`
412×	`fma-define`
379×	`*-commutative`
241×	`cube-prod`
241×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	955	27806
1	2363	26245
2	6678	26203

Stop Event

1×	node limit

Counts

842 → 588

Calls

Call 1

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

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

eval105.0ms (1.5%)

Compiler: Compiled 11213 to 2586 computations (76.9% saved)

prune108.0ms (1.6%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	697	6	703
Fresh	4	1	5
Picked	1	4	5
Done	2	2	4
Total	704	13	717

Accuracy

100.0%

Counts

717 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.8%	(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
✓	90.0%	(.f64 (.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
▶	53.0%	(.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
▶	88.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))
✓	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	59.2%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
▶	39.6%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
	84.5%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
▶	47.2%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
	47.2%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
✓	48.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	23.9%	(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 234 to 168 computations (28.2% saved)

simplify384.0ms (5.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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	(sqrt.f64 z)
	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
	cost-diff	0	(/.f64 x y)
	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	256	(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
	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 x y)
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 (sqrt.f64 z) (/.f64 x y))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))

Rules

3240×	`associate-/r/`
1011×	`fma-define`
974×	`distribute-rgt-in`
970×	`distribute-lft-in`
365×	`associate-/l*`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	431
1	61	423
2	147	414
3	293	376
4	423	367
5	1146	361
6	3067	361
7	3676	361
8	4388	361
9	5022	361
10	6163	361
11	6486	361
12	6606	361
13	6643	361
14	6647	361
15	6647	361
16	7935	361
17	7935	361
18	7935	361

Stop Event

1×	node limit

Calls

Call 1

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

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

localize170.0ms (2.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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	88.1%	(.f64 z (.f64 y (pow.f64 z #s(literal -1/2 binary64))))
	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.7%	(.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
	accuracy	100.0%	(/.f64 x y)
	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	77.4%	(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
✓	accuracy	76.6%	(*.f64 z (/.f64 x z))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	95.8%	(/.f64 (sqrt.f64 z) (/.f64 x y))
✓	accuracy	91.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))

Results

142.0ms

256×

valid

Compiler

Compiled 125 to 22 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 17.0ms (48.6% of total)

ival-pow: 8.0ms (22.9% of total)

ival-div: 6.0ms (17.2% of total)

ival-sqrt: 2.0ms (5.7% of total)

ival-add: 1.0ms (2.9% of total)

const: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Counts

11 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(* z (/ x z))
0.0ms	z	@	-inf	(pow z -1/2)
0.0ms	z	@	-inf	(* 1/2 (* z (* y (pow z -1/2))))
0.0ms	y	@	0	(* (* y 1/2) (sqrt z))
0.0ms	z	@	-inf	(* (* y 1/2) (sqrt z))

rewrite217.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log1p-expm1-u`
352×	`prod-diff`
273×	`associate-r`
200×	`expm1-log1p-u`
197×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	297
1	445	293
2	6296	293

Stop Event

1×	node limit

Counts

11 → 237

Calls

Call 1

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

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

simplify240.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

413×	`associate-r`
391×	`cancel-sign-sub-inv`
359×	`exp-prod`
358×	`cube-prod`
353×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	579	12632
1	1310	12172
2	4541	12144

Stop Event

1×	node limit

Counts

525 → 322

Calls

Call 1

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

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

eval145.0ms (2.1%)

Compiler: Compiled 6898 to 1750 computations (74.6% saved)

prune82.0ms (1.2%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	509	10	519
Fresh	0	2	2
Picked	0	5	5
Done	1	5	6
Total	510	22	532

Accuracy

100.0%

Counts

532 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.7%	(/.f64 (.f64 (.f64 z x) #s(literal 1/2 binary64)) z)
	37.8%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) y)
	40.1%	(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
	38.7%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x))
	37.7%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 1/2 binary64) (.f64 y x))))
	94.8%	(+.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 (.f64 (.f64 z (.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
✓	38.8%	(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
✓	90.0%	(.f64 (.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
	38.7%	(.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	53.0%	(.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
✓	88.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))
	40.6%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 z x))))
✓	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	39.6%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
	84.5%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
✓	47.2%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
	47.2%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
	47.2%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
	39.5%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 x (/.f64 #s(literal 1 binary64) z))))
✓	48.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	23.9%	(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 613 to 322 computations (47.5% saved)

regimes138.0ms (2%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

7 calls:

73.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
11.0ms	(sqrt.f64 z)
11.0ms	z
11.0ms	x
10.0ms	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)

regimes55.0ms (0.8%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

7 calls:

9.0ms	z
8.0ms	(*.f64 y (sqrt.f64 z))
7.0ms	x
7.0ms	(sqrt.f64 z)
7.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.8%	1	`(*.f64 y (sqrt.f64 z))`
99.8%	1	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes20.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(sqrt.f64 z)
4.0ms	x
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
78.1%	3	`x`
76.4%	3	`y`
62.7%	2	`z`
62.7%	2	`(sqrt.f64 z)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes14.0ms (0.2%)

Accuracy

Total -24.1b remaining (-73.3%)

Threshold costs -24.1b (-73.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
48.7%	1	`z`
48.7%	1	`y`
48.7%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch33.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.3463900169954157e+28	5.932117724039417e+34
13.0ms	-3.455684502541361e-58	-1.6139784076640552e-59

Results

19.0ms

256×

valid

Compiler

Compiled 291 to 239 computations (17.9% saved)

Precisions

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

ival-mult: 4.0ms (36.7% of total)

ival-sqrt: 3.0ms (27.5% of total)

ival-div: 2.0ms (18.3% of total)

ival-add: 1.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`if-if-or-not`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	134
1	42	134

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 -1696173182187249/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 29999999999999998907688884895744 binary64)) (.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)

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 -1696173182187249/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 29999999999999998907688884895744 binary64)) (.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) x)))
(if (or (<=.f64 x #s(literal -1696173182187249/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (not (<=.f64 x #s(literal 29999999999999998907688884895744 binary64)))) (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) x)

soundness502.0ms (7.3%)

Rules

969×	`fma-neg`
453×	`fma-define`
427×	`associate-/l*`
331×	`distribute-lft-neg-in`
318×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	401	13640
1	915	12464
2	3182	12336
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

Compiler

Compiled 123 to 60 computations (51.2% saved)

preprocess37.0ms (0.5%)

Compiler: Compiled 104 to 60 computations (42.3% saved)

analyze61.0ms (0.9%)

sample1.3s (18.9%)

preprocess189.0ms (2.7%)

explain84.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify61.0ms (0.9%)

localize97.0ms (1.4%)

series20.0ms (0.3%)

rewrite313.0ms (4.5%)

simplify173.0ms (2.5%)

eval31.0ms (0.4%)

prune43.0ms (0.6%)

simplify256.0ms (3.7%)

localize144.0ms (2.1%)

series175.0ms (2.5%)

rewrite224.0ms (3.2%)

simplify289.0ms (4.2%)

eval90.0ms (1.3%)

prune91.0ms (1.3%)

simplify298.0ms (4.3%)

localize144.0ms (2.1%)

series61.0ms (0.9%)

rewrite143.0ms (2.1%)

simplify336.0ms (4.9%)

eval105.0ms (1.5%)

prune108.0ms (1.6%)

simplify384.0ms (5.6%)

localize170.0ms (2.5%)

series21.0ms (0.3%)

rewrite217.0ms (3.1%)

simplify240.0ms (3.5%)

eval145.0ms (2.1%)

prune82.0ms (1.2%)

regimes138.0ms (2%)

regimes55.0ms (0.8%)

regimes20.0ms (0.3%)

regimes14.0ms (0.2%)

bsearch33.0ms (0.5%)

simplify4.0ms (0.1%)

soundness502.0ms (7.3%)

preprocess37.0ms (0.5%)

end0.0ms (0%)

Profiling