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

analyze56.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
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: 22.0ms

ival-mult: 7.0ms (31.3% of total)

ival-div: 6.0ms (26.8% of total)

ival-add: 4.0ms (17.9% of total)

ival-sqrt: 4.0ms (17.9% of total)

const: 1.0ms (4.5% of total)

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

sample1.2s (17.8%)

Results

679.0ms	8256×	0	valid
147.0ms	1990×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 506.0ms

ival-mult: 170.0ms (33.6% of total)

ival-add: 140.0ms (27.7% of total)

ival-sqrt: 90.0ms (17.8% of total)

ival-div: 85.0ms (16.8% of total)

const: 18.0ms (3.6% of total)

backward-pass: 4.0ms (0.8% of total)

Bogosity

preprocess194.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

969×	`fmm-def`
453×	`fma-define`
216×	`unsub-neg`
177×	`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	1341	332
5	2232	332
6	2748	332
7	3238	332
8	3552	332
9	3703	332
10	3784	332
11	3834	332
12	3834	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))

explain86.0ms (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

50.0ms

512×

valid

Compiler

Compiled 81 to 32 computations (60.5% saved)

Precisions

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

ival-mult: 8.0ms (39.9% of total)

ival-div: 4.0ms (20% of total)

ival-sqrt: 4.0ms (20% of total)

ival-add: 3.0ms (15% of total)

const: 1.0ms (5% of total)

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

eval43.0ms (0.6%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.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)

localize53.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(fma.f64 y (sqrt.f64 z) x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
✓	cost-diff	-6272	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	cost-diff	-6272	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 y (sqrt.f64 z))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.8%	(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	99.6%	(*.f64 y (sqrt.f64 z))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

31.0ms

256×

valid

Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions

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

ival-mult: 7.0ms (42.7% of total)

<compiled-spec>: 4.0ms (24.4% of total)

ival-add: 3.0ms (18.3% of total)

ival-sqrt: 2.0ms (12.2% of total)

const: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Counts

6 → 138

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite391.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

6 → 235

Calls

Call 1

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

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

simplify207.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

373 → 213

Calls

Call 1

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

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

eval32.0ms (0.5%)

Compiler: Compiled 3311 to 748 computations (77.4% saved)

prune42.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	232	12	244
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	233	13	246

Accuracy

100.0%

Counts

246 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
▶	88.1%	(.f64 y (.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
	89.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))))
▶	49.4%	(*.f64 x #s(literal 1/2 binary64))
	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))
	51.3%	(.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 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	80.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
	55.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
	66.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
▶	79.8%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))

Compiler

Compiled 327 to 240 computations (26.6% saved)

localize556.0ms (8%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	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	(/.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
	cost-diff	-64	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 (sqrt.f64 z) (/.f64 x y))
✓	cost-diff	0	(*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	256	(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	cost-diff	6528	(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))))
✓	accuracy	99.6%	(*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))
✓	accuracy	65.5%	(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓	accuracy	99.0%	(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
✓	accuracy	80.0%	(.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
✓	accuracy	100.0%	(*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(+.f64 (sqrt.f64 z) (/.f64 x y))
✓	accuracy	88.1%	(.f64 y (.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.6%	(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.3%	(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))

Rules

3932×	`associate-/l/`
961×	`associate-/r*`
752×	`fma-define`
640×	`*-commutative`
465×	`associate-*l/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	635
1	80	579
2	186	567
3	414	561
4	629	549
5	811	549
6	1541	549
7	3643	549
8	3801	549
9	3843	549
10	3845	549
11	3845	549
12	5102	549
13	5226	549
14	5348	549
15	5348	549
16	5569	549
17	5594	549
18	5604	549
19	5604	549

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

193.0ms

256×

valid

Compiler

Compiled 176 to 32 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-mult: 116.0ms (75.5% of total)

ival-pow: 19.0ms (12.4% of total)

ival-div: 6.0ms (3.9% of total)

ival-add: 5.0ms (3.3% of total)

ival-sqrt: 4.0ms (2.6% of total)

ival-cbrt: 2.0ms (1.3% of total)

const: 1.0ms (0.7% of total)

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

series48.0ms (0.7%)

Counts

20 → 403

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
2.0ms	z	@	0	(* (+ (sqrt z) (/ x y)) 1/2)
2.0ms	z	@	-inf	(cbrt (pow z 3/2))
2.0ms	x	@	-inf	(* 1/2 (+ x (* y (cbrt (pow z 3/2)))))
2.0ms	y	@	inf	(* y (* (+ (sqrt z) (/ x y)) 1/2))

rewrite147.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

261×	`log1p-expm1-u`
261×	`expm1-log1p-u`
256×	`associate-r`
241×	`pow1`
238×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	441
1	595	407

Stop Event

1×	node limit

Counts

20 → 525

Calls

Call 1

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

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

simplify451.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-l`
607×	`fmm-def`
382×	`*-commutative`
320×	`exp-prod`
292×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	971	29631
1	2194	28277
2	7076	27903

Stop Event

1×	node limit

Counts

928 → 653

Calls

Call 1

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

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

eval98.0ms (1.4%)

Compiler: Compiled 10905 to 2696 computations (75.3% saved)

prune102.0ms (1.5%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	675	9	684
Fresh	3	4	7
Picked	2	3	5
Done	0	1	1
Total	680	17	697

Accuracy

100.0%

Counts

697 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
	37.7%	(.f64 y (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
✓	88.1%	(.f64 y (.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
	74.1%	(.f64 y (.f64 (.f64 z (+.f64 (/.f64 x (.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
	74.1%	(.f64 y (.f64 (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (.f64 z y)))) #s(literal 1/2 binary64)))
	37.5%	(.f64 y (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
▶	89.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))))
✓	49.4%	(*.f64 x #s(literal 1/2 binary64))
	51.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	80.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
▶	55.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
	66.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
▶	37.2%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
▶	79.8%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
	44.4%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
	44.4%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))

Compiler

Compiled 387 to 280 computations (27.6% saved)

localize278.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 36 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	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 y (sqrt.f64 z))
✓	cost-diff	0	(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 (sqrt.f64 z) y)
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
	cost-diff	0	(/.f64 x z)
✓	cost-diff	256	(*.f64 z (/.f64 x z))
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
✓	cost-diff	0	(/.f64 y x)
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 (sqrt.f64 z) (/.f64 y x))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
✓	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	86.1%	(*.f64 z (pow.f64 y #s(literal 2 binary64)))
✓	accuracy	64.4%	(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.7%	(/.f64 y (sqrt.f64 z))
✓	accuracy	99.0%	(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))
✓	accuracy	80.0%	(*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
✓	accuracy	100.0%	(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.6%	(*.f64 (sqrt.f64 z) y)
	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
✓	accuracy	76.9%	(*.f64 z (/.f64 x z))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
✓	accuracy	95.1%	(*.f64 (sqrt.f64 z) (/.f64 y x))
✓	accuracy	91.4%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))))

Rules

1234×	`associate-/r/`
941×	`fma-define`
750×	`cube-prod`
595×	`swap-sqr`
358×	`distribute-rgt-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	604
1	75	596
2	179	596
3	351	552
4	535	543
5	1666	537
6	2606	537
7	2892	537
8	2995	537
9	3088	537
10	3160	537
11	3295	537
12	5031	537
13	6866	537

Stop Event

1×	node limit

Calls

Call 1

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

Results

81.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 162 to 26 computations (84% saved)

Precisions

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

ival-mult: 21.0ms (51% of total)

ival-div: 6.0ms (14.6% of total)

ival-add: 6.0ms (14.6% of total)

ival-sqrt: 4.0ms (9.7% of total)

ival-pow: 3.0ms (7.3% of total)

const: 1.0ms (2.4% of total)

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

series48.0ms (0.7%)

Counts

16 → 456

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(/ y x)
4.0ms	z	@	0	(* x (+ 1/2 (* (* (sqrt z) (/ y x)) 1/2)))
3.0ms	z	@	-inf	(/ y (sqrt z))
1.0ms	z	@	-inf	(* z (+ (/ y (sqrt z)) (/ x z)))
1.0ms	z	@	-inf	(* x (+ 1/2 (* (* (sqrt z) (/ y x)) 1/2)))

rewrite141.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

288×	`associate-r`
244×	`log1p-expm1-u`
244×	`expm1-log1p-u`
240×	`add-exp-log`
239×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	448
1	529	416

Stop Event

1×	node limit

Counts

16 → 442

Calls

Call 1

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

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

simplify366.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

846×	`fmm-def`
582×	`associate-l`
375×	`*-commutative`
338×	`fma-define`
237×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1036	29890
1	2451	28320
2	7594	28319

Stop Event

1×	node limit

Counts

898 → 668

Calls

Call 1

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

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

eval113.0ms (1.6%)

Compiler: Compiled 13495 to 3090 computations (77.1% saved)

prune445.0ms (6.4%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	843	8	851
Fresh	2	6	8
Picked	2	3	5
Done	1	3	4
Total	848	20	868

Accuracy

100.0%

Counts

868 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.4%	(/.f64 (.f64 (.f64 x z) #s(literal 1/2 binary64)) z)
	37.7%	(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
	26.2%	(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓	51.9%	(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
	36.9%	(.f64 (.f64 (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))) y) #s(literal 1/2 binary64))
	37.7%	(.f64 y (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
✓	88.1%	(.f64 y (.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
▶	74.1%	(.f64 y (.f64 (.f64 z (+.f64 (/.f64 x (.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
	74.1%	(.f64 y (.f64 (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (.f64 z y)))) #s(literal 1/2 binary64)))
▶	37.5%	(.f64 y (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
▶	87.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
✓	49.4%	(*.f64 x #s(literal 1/2 binary64))
	38.2%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 x z))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	37.2%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
✓	79.8%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
	37.1%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
	44.4%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
	44.4%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
▶	29.9%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))

Compiler

Compiled 406 to 296 computations (27.1% saved)

localize326.0ms (4.7%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (*.f64 z y))
✓	cost-diff	0	(+.f64 (/.f64 x (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	320	(.f64 z (+.f64 (/.f64 x (.f64 z y)) (pow.f64 z #s(literal -1/2 binary64))))
✓	cost-diff	320	(.f64 (.f64 z (+.f64 (/.f64 x (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(.f64 (.f64 x z) #s(literal 1/2 binary64))
✓	cost-diff	256	(/.f64 (.f64 (.f64 x z) #s(literal 1/2 binary64)) z)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	256	(.f64 y (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 (sqrt.f64 z) x)
✓	cost-diff	0	(*.f64 y (/.f64 (sqrt.f64 z) x))
✓	cost-diff	0	(.f64 (.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(pow.f64 z #s(literal -1/2 binary64))
✓	accuracy	93.5%	(/.f64 x (*.f64 z y))
✓	accuracy	91.3%	(.f64 z (+.f64 (/.f64 x (.f64 z y)) (pow.f64 z #s(literal -1/2 binary64))))
✓	accuracy	88.1%	(.f64 y (.f64 (.f64 z (+.f64 (/.f64 x (.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(.f64 (.f64 x z) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	79.3%	(/.f64 (.f64 (.f64 x z) #s(literal 1/2 binary64)) z)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	99.6%	(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓	accuracy	77.4%	(.f64 y (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	100.0%	(.f64 (.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(/.f64 (sqrt.f64 z) x)
✓	accuracy	94.8%	(*.f64 y (/.f64 (sqrt.f64 z) x))
✓	accuracy	91.4%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))

Rules

1987×	`associate-/r/`
1377×	`fma-define`
519×	`*-commutative`
468×	`associate-*r/`
400×	`associate-*l/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	79	564
2	219	560
3	528	496
4	1196	466
5	4073	466
6	4970	466
7	5113	466
8	5127	466
9	5135	466
10	5143	466
11	5143	466
12	5988	466
13	5988	466
14	5988	466

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

89.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 158 to 27 computations (82.9% saved)

Precisions

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

ival-mult: 21.0ms (43.2% of total)

ival-div: 12.0ms (24.7% of total)

ival-pow: 8.0ms (16.5% of total)

ival-sqrt: 3.0ms (6.2% of total)

ival-add: 3.0ms (6.2% of total)

ival-fabs: 2.0ms (4.1% of total)

const: 1.0ms (2.1% of total)

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

series46.0ms (0.7%)

Counts

18 → 420

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	(/ (sqrt z) x)
3.0ms	y	@	0	(+ (/ x (* z y)) (pow z -1/2))
2.0ms	z	@	0	(* y (* (* z (+ (/ x (* z y)) (pow z -1/2))) 1/2))
1.0ms	z	@	-inf	(* y (* (* z (+ (/ x (* z y)) (pow z -1/2))) 1/2))
1.0ms	x	@	0	(* y (* (* z (+ (/ x (* z y)) (pow z -1/2))) 1/2))

rewrite157.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

327×	`associate-r`
262×	`log1p-expm1-u`
262×	`expm1-log1p-u`
258×	`add-exp-log`
258×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	489
1	570	459

Stop Event

1×	node limit

Counts

18 → 402

Calls

Call 1

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

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

simplify389.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

569×	`fmm-def`
425×	`cube-prod`
396×	`exp-prod`
373×	`*-commutative`
308×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	965	23977
1	2221	22387
2	6569	22362

Stop Event

1×	node limit

Counts

822 → 589

Calls

Call 1

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

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

eval91.0ms (1.3%)

Compiler: Compiled 9349 to 2440 computations (73.9% saved)

prune103.0ms (1.5%)

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	612	8	620
Fresh	4	5	9
Picked	1	4	5
Done	0	6	6
Total	617	23	640

Accuracy

100.0%

Counts

640 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.4%	(/.f64 (.f64 (.f64 x z) #s(literal 1/2 binary64)) z)
	37.8%	(/.f64 (.f64 y x) (.f64 y #s(literal 2 binary64)))
	37.7%	(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
	38.2%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 z (.f64 z x))))
	49.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
	26.2%	(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓	51.9%	(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
	36.9%	(.f64 (.f64 (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))) y) #s(literal 1/2 binary64))
	38.3%	(.f64 (.f64 x z) (/.f64 #s(literal 1/2 binary64) z))
	37.1%	(.f64 z (.f64 x (/.f64 #s(literal 1/2 binary64) z)))
	37.5%	(.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x #s(literal 1/2 binary64)))))
✓	88.1%	(.f64 y (.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
	74.0%	(.f64 y (.f64 (.f64 z (+.f64 (/.f64 x (.f64 z y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)))
✓	37.5%	(.f64 y (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
	88.2%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64))))
✓	87.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
✓	49.4%	(*.f64 x #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	37.2%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
✓	79.8%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
	44.4%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
	44.4%	(.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
✓	29.9%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))

Compiler

Compiled 636 to 338 computations (46.9% saved)

regimes168.0ms (2.4%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

7 calls:

98.0ms	y
13.0ms	(sqrt.f64 z)
12.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
11.0ms	z
11.0ms	x

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)

regimes24.0ms (0.3%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	z
5.0ms	(sqrt.f64 z)
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
77.7%	3	`x`
74.0%	3	`y`
67.1%	4	`z`
67.1%	4	`(sqrt.f64 z)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes16.0ms (0.2%)

Accuracy

Total -24.3b remaining (-75.1%)

Threshold costs -24.3b (-75.1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
5.0ms	z
5.0ms	x

Results

Accuracy	Segments	Branch
49.4%	1	`z`
49.4%	1	`y`
49.4%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch23.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.431133027493322e+36	3.0667461864214774e+37
10.0ms	-7.42559936454457e-12	-7.589538020510331e-13

Results

14.0ms

192×

valid

Compiler

Compiled 223 to 183 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (36.8% of total)

ival-add: 2.0ms (24.6% of total)

ival-sqrt: 2.0ms (24.6% of total)

ival-div: 1.0ms (12.3% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	106
1	38	106

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -3961408125713217/4951760157141521099596496896 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 7500000000000000539515709189649334272 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))))

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

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 x #s(literal -3961408125713217/4951760157141521099596496896 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 7500000000000000539515709189649334272 binary64)) (.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64))) (.f64 x #s(literal 1/2 binary64))))
(if (or (<=.f64 x #s(literal -3961408125713217/4951760157141521099596496896 binary64)) (not (<=.f64 x #s(literal 7500000000000000539515709189649334272 binary64)))) (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)

soundness438.0ms (6.3%)

Rules

969×	`fmm-def`
453×	`fma-define`
434×	`associate-/l*`
326×	`distribute-lft-neg-in`
325×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	401	13606
1	915	12430
2	3180	12316
0	44	376
1	128	332
2	369	332
3	781	332
4	1341	332
5	2232	332
6	2748	332
7	3238	332
8	3552	332
9	3703	332
10	3784	332
11	3834	332
12	3834	332

Stop Event

1×	fuel
1×	saturated
1×	node limit

Compiler

Compiled 89 to 48 computations (46.1% saved)

preprocess25.0ms (0.4%)

Compiler: Compiled 90 to 56 computations (37.8% saved)

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

analyze56.0ms (0.8%)

sample1.2s (17.8%)

preprocess194.0ms (2.8%)

explain86.0ms (1.2%)

eval43.0ms (0.6%)

prune1.0ms (0%)

localize53.0ms (0.8%)

series14.0ms (0.2%)

rewrite391.0ms (5.6%)

simplify207.0ms (3%)

eval32.0ms (0.5%)

prune42.0ms (0.6%)

localize556.0ms (8%)

series48.0ms (0.7%)

rewrite147.0ms (2.1%)

simplify451.0ms (6.5%)

eval98.0ms (1.4%)

prune102.0ms (1.5%)

localize278.0ms (4%)

series48.0ms (0.7%)

rewrite141.0ms (2%)

simplify366.0ms (5.3%)

eval113.0ms (1.6%)

prune445.0ms (6.4%)

localize326.0ms (4.7%)

series46.0ms (0.7%)

rewrite157.0ms (2.3%)

simplify389.0ms (5.6%)

eval91.0ms (1.3%)

prune103.0ms (1.5%)

regimes168.0ms (2.4%)

regimes24.0ms (0.3%)

regimes16.0ms (0.2%)

bsearch23.0ms (0.3%)

simplify4.0ms (0.1%)

soundness438.0ms (6.3%)

preprocess25.0ms (0.4%)

end0.0ms (0%)

Profiling