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

analyze59.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 10.0ms (37.2% of total)

ival-div: 8.0ms (29.7% of total)

ival-sqrt: 4.0ms (14.9% of total)

ival-add: 3.0ms (11.1% of total)

const: 1.0ms (3.7% of total)

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

sample1.2s (14.6%)

Results

634.0ms	8256×	0	valid
144.0ms	2141×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 469.0ms

ival-mult: 165.0ms (35.2% of total)

ival-sqrt: 140.0ms (29.8% of total)

ival-div: 86.0ms (18.3% of total)

ival-add: 56.0ms (11.9% of total)

const: 18.0ms (3.8% of total)

backward-pass: 4.0ms (0.9% of total)

Bogosity

preprocess194.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

explain140.0ms (1.7%)

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

106.0ms

512×

valid

Compiler

Compiled 81 to 32 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-sqrt: 58.0ms (75.5% of total)

ival-mult: 10.0ms (13% of total)

ival-div: 4.0ms (5.2% of total)

ival-add: 3.0ms (3.9% of total)

const: 1.0ms (1.3% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.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)

localize54.0ms (0.7%)

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

33.0ms

256×

valid

Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions

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

ival-mult: 6.0ms (45% of total)

ival-fma: 3.0ms (22.5% of total)

ival-sqrt: 3.0ms (22.5% of total)

ival-add: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

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

series19.0ms (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))))

rewrite534.0ms (6.4%)

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)))

simplify208.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

373 → 214

Calls

Call 1

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

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

eval30.0ms (0.4%)

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

prune46.0ms (0.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	232	13	245
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	233	14	247

Accuracy

100.0%

Counts

247 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
	82.0%	(.f64 z (.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) #s(literal 1/2 binary64)))
	87.3%	(.f64 y (.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64)))
▶	88.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))))
▶	49.0%	(*.f64 x #s(literal 1/2 binary64))
	99.1%	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x))
	99.3%	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x))
▶	99.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 z))) #s(literal 3 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)))))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	82.1%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
	56.2%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
	82.0%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))

Compiler

Compiled 355 to 258 computations (27.3% saved)

localize468.0ms (5.6%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cbrt.f64 (*.f64 y (sqrt.f64 z)))
✓	cost-diff	6592	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
✓	cost-diff	6592	(.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 z))) #s(literal 3 binary64))))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
✓	cost-diff	-6272	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
✓	cost-diff	0	(pow.f64 z #s(literal 3/2 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
✓	cost-diff	0	(*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))
✓	cost-diff	0	(/.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))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	-6208	(+.f64 x (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
✓	cost-diff	-6208	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
✓	cost-diff	64	(pow.f64 z #s(literal 1/2 binary64))
✓	cost-diff	64	(*.f64 y (pow.f64 z #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
	accuracy	99.6%	(*.f64 y (sqrt.f64 z))
✓	accuracy	99.0%	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
✓	accuracy	86.7%	(cbrt.f64 (*.f64 y (sqrt.f64 z)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
✓	accuracy	100.0%	(+.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	67.0%	(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	95.6%	(*.f64 (sqrt.f64 z) (/.f64 y x))
✓	accuracy	90.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #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 z #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(pow.f64 z #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
✓	accuracy	99.6%	(*.f64 y (pow.f64 z #s(literal 1/2 binary64)))

Rules

1923×	`associate-/l/`
1648×	`associate-r`
1210×	`associate-l`
664×	`times-frac`
392×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	539
1	78	507
2	164	507
3	344	507
4	615	507
5	1244	507
6	1731	507
7	2941	507
8	3496	507
9	3582	507
10	3655	507
11	3716	507
12	3733	507
13	4195	507
14	4234	507
15	4301	507
16	4308	507
17	4308	507
18	4308	507
19	4308	507
20	5864	507
21	5982	507
22	5996	507
23	5996	507
24	5996	507

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

99.0ms

256×

valid

Compiler

Compiled 161 to 28 computations (82.6% saved)

Precisions

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

ival-pow: 21.0ms (40.1% of total)

ival-mult: 17.0ms (32.4% of total)

ival-add: 5.0ms (9.5% of total)

ival-cbrt: 3.0ms (5.7% of total)

ival-div: 2.0ms (3.8% of total)

ival-sqrt: 2.0ms (3.8% of total)

const: 1.0ms (1.9% of total)

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

series203.0ms (2.4%)

Counts

18 → 468

Calls

Call 1

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

Outputs
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 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 (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 #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)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
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#<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 (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (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)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>

Calls

123 calls:

Time	Variable		Point	Expression
40.0ms	y	@	0	(cbrt (* y (sqrt z)))
26.0ms	z	@	0	(cbrt (* y (sqrt z)))
6.0ms	z	@	inf	(cbrt (* y (sqrt z)))
2.0ms	z	@	-inf	(cbrt (pow z 3/2))
2.0ms	y	@	-inf	(cbrt (* y (sqrt z)))

rewrite224.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1017×	`log1p-expm1-u`
213×	`associate-r`
208×	`expm1-log1p-u`
195×	`pow1`
189×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	400
1	548	372
2	6517	372

Stop Event

1×	node limit

Counts

18 → 464

Calls

Call 1

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

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

simplify347.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

683×	`associate-r`
647×	`fma-neg`
577×	`associate-l`
384×	`cube-prod`
355×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	698	29580
1	1588	28675
2	5991	28589

Stop Event

1×	node limit

Counts

932 → 434

Calls

Call 1

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

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

eval67.0ms (0.8%)

Compiler: Compiled 8084 to 2090 computations (74.1% saved)

prune84.0ms (1%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	511	9	520
Fresh	5	3	8
Picked	1	4	5
Done	0	1	1
Total	517	17	534

Accuracy

100.0%

Counts

534 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.1%	(+.f64 (.f64 (.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 #s(literal 1/2 binary64) x))
▶	87.3%	(.f64 (.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
	53.2%	(.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z))
▶	88.2%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64))))
✓	88.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))))
	87.5%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
✓	49.0%	(*.f64 x #s(literal 1/2 binary64))
▶	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
	99.1%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))))
	99.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))))
	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	82.1%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
	56.2%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
	82.0%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
▶	29.2%	(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 393 to 279 computations (29% saved)

localize328.0ms (3.9%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 x (sqrt.f64 z))
✓	cost-diff	256	(.f64 (.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
✓	cost-diff	0	(/.f64 x y)
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 (sqrt.f64 z) (/.f64 x y))
✓	cost-diff	0	(*.f64 (/.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 x y)
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(+.f64 (sqrt.f64 z) (/.f64 x y))
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(pow.f64 z #s(literal 1/4 binary64))
✓	cost-diff	384	(+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
✓	cost-diff	384	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓	cost-diff	6656	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.5%	(*.f64 x (sqrt.f64 z))
✓	accuracy	99.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	accuracy	78.6%	(.f64 (.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(*.f64 (/.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	95.6%	(/.f64 (sqrt.f64 z) (/.f64 x y))
✓	accuracy	90.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(+.f64 (sqrt.f64 z) (/.f64 x y))
✓	accuracy	87.3%	(.f64 (.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(pow.f64 z #s(literal 1/4 binary64))
✓	accuracy	100.0%	(+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
✓	accuracy	99.5%	(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
✓	accuracy	99.5%	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))

Rules

1786×	`associate-/r/`
744×	`fma-define`
712×	`fabs-mul`
497×	`swap-sqr`
374×	`distribute-rgt-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	666
1	85	552
2	213	540
3	426	540
4	640	522
5	1459	522
6	2163	522
7	4015	522
8	5365	522
9	6443	522
10	6826	522
11	7151	522
12	7422	522

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

84.0ms

256×

valid

Compiler

Compiled 177 to 27 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 20.0ms (43.6% of total)

ival-pow: 9.0ms (19.6% of total)

ival-add: 6.0ms (13.1% of total)

ival-div: 5.0ms (10.9% of total)

ival-fabs: 3.0ms (6.5% of total)

ival-sqrt: 2.0ms (4.4% of total)

const: 1.0ms (2.2% of total)

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

series105.0ms (1.3%)

Counts

17 → 423

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
34.0ms	y	@	0	(* (pow z 1/4) y)
16.0ms	z	@	-inf	(* (pow z 1/4) y)
7.0ms	z	@	0	(* (pow z 1/4) y)
1.0ms	z	@	0	(* (* y 1/2) (+ (sqrt z) (/ x y)))
1.0ms	y	@	-inf	(* (* y 1/2) (+ (sqrt z) (/ x y)))

rewrite158.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

312×	`associate-r`
265×	`log1p-expm1-u`
265×	`expm1-log1p-u`
259×	`add-exp-log`
259×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	488
1	590	417

Stop Event

1×	node limit

Counts

17 → 472

Calls

Call 1

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

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

simplify460.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-neg`
415×	`times-frac`
401×	`*-commutative`
305×	`fma-define`
232×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	986	32363
1	2428	30369
2	7032	30369

Stop Event

1×	node limit

Counts

895 → 606

Calls

Call 1

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

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

eval230.0ms (2.8%)

Compiler: Compiled 13351 to 2698 computations (79.8% saved)

prune122.0ms (1.5%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	802	7	809
Fresh	2	5	7
Picked	2	3	5
Done	1	4	5
Total	807	19	826

Accuracy

100.0%

Counts

826 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.4%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (.f64 x (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) x))
✓	86.1%	(+.f64 (.f64 (.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 #s(literal 1/2 binary64) x))
▶	87.9%	(+.f64 (.f64 x (.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal 1/2 binary64) x))
▶	36.5%	(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
✓	87.3%	(.f64 (.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
	53.2%	(.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
▶	88.2%	(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) (sqrt.f64 z)))))
	87.5%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 z) (*.f64 #s(literal 2 binary64) x)) y)))
✓	88.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))))
▶	88.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
✓	49.0%	(*.f64 x #s(literal 1/2 binary64))
	99.1%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))))
	99.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))))
▶	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	56.2%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
	82.0%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
✓	29.2%	(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 433 to 307 computations (29.1% saved)

localize418.0ms (5%)

Algorithm

1×	egg-herbie

Localize:

Found 38 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 x y)
	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	cost-diff	0	(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
✓	cost-diff	256	(.f64 x (.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
	cost-diff	-64	(sqrt.f64 z)
	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 (/.f64 x y) (sqrt.f64 z))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) (sqrt.f64 z)))
	cost-diff	-64	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(.f64 (sqrt.f64 z) (.f64 y (/.f64 #s(literal 1/2 binary64) x)))
	cost-diff	0	(/.f64 x y)
	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	256	(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
✓	cost-diff	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 (.f64 x (.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal 1/2 binary64) x))
	accuracy	99.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	accuracy	95.5%	(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
✓	accuracy	81.4%	(.f64 x (.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) (sqrt.f64 z)))
✓	accuracy	95.4%	(/.f64 (/.f64 x y) (sqrt.f64 z))
✓	accuracy	90.7%	(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) (sqrt.f64 z)))))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.8%	(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	95.5%	(.f64 (sqrt.f64 z) (.f64 y (/.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	90.7%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
	accuracy	100.0%	(/.f64 x y)
	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	76.6%	(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
	accuracy	100.0%	(pow.f64 z #s(literal 1/4 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	99.2%	(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))

Rules

1996×	`associate-/r*`
1591×	`associate-/r/`
578×	`fma-define`
511×	`associate-/l/`
451×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	748
1	81	660
2	166	640
3	313	640
4	548	586
5	990	586
6	1511	586
7	3165	586
8	3590	586
9	3822	586
10	3875	586
11	3934	586
12	3981	586
13	3998	586
14	4019	586
15	4019	586
16	4019	586

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

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

Results

91.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 199 to 30 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 18.0ms (38% of total)

ival-pow: 12.0ms (25.3% of total)

ival-div: 9.0ms (19% of total)

ival-add: 5.0ms (10.6% of total)

ival-sqrt: 2.0ms (4.2% of total)

const: 1.0ms (2.1% of total)

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

series212.0ms (2.6%)

Counts

15 → 444

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

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

Calls

114 calls:

Time	Variable		Point	Expression
44.0ms	z	@	-inf	(pow (pow z 1/4) 2)
1.0ms	x	@	0	(/ (/ x y) (sqrt z))
1.0ms	z	@	-inf	(/ (/ x y) (sqrt z))
1.0ms	y	@	0	(/ (/ x y) (sqrt z))
0.0ms	y	@	-inf	(/ (/ x y) (sqrt z))

rewrite283.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log1p-expm1-u`
255×	`associate-r`
222×	`expm1-log1p-u`
220×	`add-cube-cbrt`
217×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	444
1	646	424
2	7458	424

Stop Event

1×	node limit

Counts

15 → 521

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

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

simplify617.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

629×	`associate-l`
588×	`fma-neg`
359×	`*-commutative`
277×	`associate-*r/`
255×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	869	35765
1	2036	34213
2	7220	34213

Stop Event

1×	node limit

Counts

965 → 544

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

eval211.0ms (2.5%)

Compiler: Compiled 13219 to 2988 computations (77.4% saved)

prune234.0ms (2.8%)

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	800	9	809
Fresh	3	4	7
Picked	2	3	5
Done	1	6	7
Total	806	22	828

Accuracy

100.0%

Counts

828 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.3%	(/.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) y)
	37.2%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 y x))
	39.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64)))))
✓	86.1%	(+.f64 (.f64 (.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 #s(literal 1/2 binary64) x))
	53.2%	(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
✓	36.5%	(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
✓	87.3%	(.f64 (.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
	36.4%	(.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
	87.5%	(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) x)))))
✓	88.2%	(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) (sqrt.f64 z)))))
	90.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))))
	87.5%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) y)))
	87.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
✓	88.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
✓	49.0%	(*.f64 x #s(literal 1/2 binary64))
	99.1%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))))
	99.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	56.2%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
	82.0%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
✓	29.2%	(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 708 to 353 computations (50.1% saved)

regimes155.0ms (1.9%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

7 calls:

79.0ms	x
17.0ms	(*.f64 y (sqrt.f64 z))
12.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
12.0ms	z
11.0ms	(sqrt.f64 z)

Results

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

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes127.0ms (1.5%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

7 calls:

74.0ms	x
10.0ms	(*.f64 y (sqrt.f64 z))
9.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
8.0ms	(sqrt.f64 z)
8.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Results

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

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes29.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	x
6.0ms	(*.f64 y (sqrt.f64 z))
4.0ms	(sqrt.f64 z)
4.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
4.0ms	z

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`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 33 to 24 computations (27.3% saved)

regimes17.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
77.5%	3	`x`
76.8%	3	`y`
62.0%	2	`z`
62.0%	2	`(sqrt.f64 z)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes9.0ms (0.1%)

Accuracy

Total -22.3b remaining (-68.3%)

Threshold costs -22.3b (-68.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
49.0%	1	`z`
49.0%	1	`y`
49.0%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.0652897895678806e+27	5.075785464985685e+29
12.0ms	-27336.467372016832	-833.8753805083911

Results

17.0ms

224×

valid

Compiler

Compiled 257 to 211 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (42.9% of total)

ival-div: 2.0ms (21.4% of total)

ival-sqrt: 2.0ms (21.4% of total)

ival-add: 1.0ms (10.7% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	168
1	49	168

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 x #s(literal -5100 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 2249999999999999961177522176 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) (fma.f64 y (sqrt.f64 z) x))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 x #s(literal -5100 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 2249999999999999961177522176 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 -5100 binary64)) (not (<=.f64 x #s(literal 2249999999999999961177522176 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)

soundness639.0ms (7.7%)

Rules

969×	`fma-neg`
910×	`prod-diff`
774×	`log1p-expm1-u`
774×	`expm1-log1p-u`
453×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	401	13606
1	915	12430
2	3180	12316
0	18	125
1	205	125
2	2202	125
0	44	376
1	128	332
2	369	332
3	781	332
4	1343	332
5	2233	332
6	2744	332
7	3237	332
8	3551	332
9	3704	332
10	3785	332
11	3835	332
12	3835	332

Stop Event

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

Compiler

Compiled 161 to 82 computations (49.1% saved)

preprocess46.0ms (0.5%)

Compiler: Compiled 122 to 68 computations (44.3% saved)

analyze59.0ms (0.7%)

sample1.2s (14.6%)

preprocess194.0ms (2.3%)

explain140.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize54.0ms (0.7%)

series19.0ms (0.2%)

rewrite534.0ms (6.4%)

simplify208.0ms (2.5%)

eval30.0ms (0.4%)

prune46.0ms (0.6%)

localize468.0ms (5.6%)

series203.0ms (2.4%)

rewrite224.0ms (2.7%)

simplify347.0ms (4.2%)

eval67.0ms (0.8%)

prune84.0ms (1%)

localize328.0ms (3.9%)

series105.0ms (1.3%)

rewrite158.0ms (1.9%)

simplify460.0ms (5.5%)

eval230.0ms (2.8%)

prune122.0ms (1.5%)

localize418.0ms (5%)

series212.0ms (2.6%)

rewrite283.0ms (3.4%)

simplify617.0ms (7.4%)

eval211.0ms (2.5%)

prune234.0ms (2.8%)

regimes155.0ms (1.9%)

regimes127.0ms (1.5%)

regimes29.0ms (0.4%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch27.0ms (0.3%)

simplify3.0ms (0%)

soundness639.0ms (7.7%)

preprocess46.0ms (0.5%)

end0.0ms (0%)

Profiling