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

analyze60.0ms (0.8%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

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

ival-mult: 7.0ms (34.4% of total)

ival-div: 5.0ms (24.6% of total)

ival-sqrt: 4.0ms (19.7% of total)

ival-add: 3.0ms (14.7% of total)

const: 1.0ms (4.9% of total)

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

sample1.3s (18%)

Results

854.0ms	8256×	0	valid
146.0ms	2015×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 523.0ms

ival-sqrt: 209.0ms (40% of total)

ival-mult: 153.0ms (29.3% of total)

ival-div: 79.0ms (15.1% of total)

ival-add: 61.0ms (11.7% of total)

const: 18.0ms (3.4% of total)

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

Bogosity

preprocess197.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

explain145.0ms (2%)

FPErrors

Click to see full error table

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

Results

110.0ms

512×

valid

Compiler

Compiled 81 to 32 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-add: 57.0ms (73.5% of total)

ival-mult: 7.0ms (9% of total)

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

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

backward-pass: 4.0ms (5.2% of total)

const: 1.0ms (1.3% 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
▶	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	96
1	24	88
2	42	88
3	54	88

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

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

localize39.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 z))

Results

24.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-mult: 5.0ms (54.2% of total)

ival-sqrt: 3.0ms (32.5% of total)

ival-add: 2.0ms (21.7% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Counts

4 → 66

Calls

Call 1

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

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

Calls

27 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))))

rewrite258.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`prod-diff`
772×	`log1p-expm1-u`
772×	`expm1-log1p-u`
403×	`log-prod`
254×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	83
1	162	75
2	2157	75

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

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

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

simplify335.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

384×	`associate-/l*`
348×	`exp-prod`
341×	`cube-prod`
317×	`distribute-lft-neg-in`
297×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	388	7992
1	903	6776
2	3057	6394
3	7217	6304

Stop Event

1×	node limit

Counts

212 → 209

Calls

Call 1

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

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

eval25.0ms (0.3%)

Compiler: Compiled 2976 to 685 computations (77% saved)

prune118.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	201	8	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	201	9	210

Accuracy

100.0%

Counts

210 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
▶	90.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
▶	99.1%	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x))
▶	99.4%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	82.4%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
▶	60.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
	78.8%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
▶	52.9%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 213 to 158 computations (25.8% saved)

simplify158.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cbrt.f64 z)
✓	cost-diff	0	(*.f64 y (cbrt.f64 z))
✓	cost-diff	0	(fma.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x))
✓	cost-diff	0	(*.f64 z (pow.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
	cost-diff	-64	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 (/.f64 y x) (sqrt.f64 z))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 z)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	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)))

Rules

1845×	`associate-*r/`
1732×	`associate-*l/`
819×	`times-frac`
722×	`associate-/l/`
417×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	619
1	72	561
2	152	547
3	338	547
4	623	547
5	986	547
6	1744	547
7	3035	547
8	3727	547
9	3782	547
10	3789	547
11	3789	547
12	4168	547
13	4186	547
14	4187	547
15	4187	547
16	4187	547

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

localize170.0ms (2.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x))
✓	accuracy	99.7%	(*.f64 y (cbrt.f64 z))
✓	accuracy	99.1%	(cbrt.f64 z)
✓	accuracy	99.1%	(cbrt.f64 (sqrt.f64 z))
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
✓	accuracy	89.2%	(*.f64 z (pow.f64 y #s(literal 2 binary64)))
✓	accuracy	63.8%	(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 z)))
✓	accuracy	96.1%	(*.f64 (/.f64 y x) (sqrt.f64 z))
✓	accuracy	92.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	accuracy	99.7%	(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.2%	(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))

Results

131.0ms

256×

valid

Compiler

Compiled 167 to 29 computations (82.6% saved)

Precisions

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

ival-mult: 56.0ms (63.2% of total)

ival-pow: 16.0ms (18.1% of total)

ival-add: 4.0ms (4.5% of total)

ival-sqrt: 4.0ms (4.5% of total)

ival-fma: 3.0ms (3.4% of total)

ival-cbrt: 3.0ms (3.4% of total)

ival-div: 2.0ms (2.3% of total)

const: 1.0ms (1.1% of total)

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

series593.0ms (8%)

Counts

19 → 380

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
93.0ms	y	@	0	(* 1/2 (+ (* (* y (cbrt z)) (cbrt (sqrt z))) x))
45.0ms	z	@	0	(* 1/2 (+ (* (* y (cbrt z)) (cbrt (sqrt z))) x))
11.0ms	x	@	0	(* 1/2 (+ (* (* y (cbrt z)) (cbrt (sqrt z))) x))
8.0ms	z	@	inf	(cbrt (sqrt z))
6.0ms	z	@	0	(cbrt (sqrt z))

rewrite233.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

399×	`log1p-expm1-u`
268×	`associate-r`
243×	`expm1-log1p-u`
238×	`add-cube-cbrt`
237×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	438
1	563	404
2	7798	404

Stop Event

1×	node limit

Counts

19 → 502

Calls

Call 1

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

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

simplify481.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

678×	`associate-l`
460×	`fma-neg`
340×	`*-commutative`
291×	`exp-prod`
279×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	839	8589964681
1	1877	8589963333
2	5764	8589962982

Stop Event

1×	node limit

Counts

882 → 547

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

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

eval80.0ms (1.1%)

Compiler: Compiled 9559 to 2238 computations (76.6% saved)

prune91.0ms (1.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	605	6	611
Fresh	0	3	3
Picked	3	2	5
Done	0	1	1
Total	608	12	620

Accuracy

100.0%

Counts

620 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
▶	90.4%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))
▶	87.4%	(.f64 x (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
▶	37.3%	(.f64 x (.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
	38.5%	(.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
▶	37.3%	(.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
✓	99.4%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	82.4%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
	78.8%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
✓	52.9%	(*.f64 #s(literal 1/2 binary64) x)
▶	27.4%	(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 277 to 196 computations (29.2% saved)

simplify245.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(.f64 y (.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	256	(.f64 x (.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
✓	cost-diff	0	(/.f64 (sqrt.f64 z) x)
✓	cost-diff	0	(*.f64 y (/.f64 (sqrt.f64 z) x))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (sqrt.f64 z) x)))
✓	cost-diff	256	(.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(/.f64 x y)
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(/.f64 (sqrt.f64 z) (/.f64 x y))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))

Rules

2036×	`fma-define`
1019×	`unswap-sqr`
732×	`*-commutative`
409×	`distribute-lft-in`
401×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	775
1	96	767
2	260	749
3	700	749
4	1829	683
5	4084	683
6	4794	683
7	5405	683
8	5471	683
9	5700	683
10	5889	683
11	6216	683
12	6818	683
13	6962	683
14	7628	683

Stop Event

1×	node limit

Calls

Call 1

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

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

localize135.0ms (1.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	95.3%	(*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓	accuracy	94.6%	(.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))
✓	accuracy	92.8%	(.f64 x (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	93.4%	(.f64 y (.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	86.7%	(.f64 x (.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (sqrt.f64 z) x)))
✓	accuracy	99.7%	(/.f64 (sqrt.f64 z) x)
✓	accuracy	93.4%	(*.f64 y (/.f64 (sqrt.f64 z) x))
✓	accuracy	86.7%	(.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))
✓	accuracy	95.5%	(/.f64 (sqrt.f64 z) (/.f64 x y))
✓	accuracy	92.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))

Results

93.0ms

256×

valid

Compiler

Compiled 217 to 31 computations (85.7% saved)

Precisions

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

ival-mult: 25.0ms (50.9% of total)

ival-div: 16.0ms (32.6% of total)

ival-sqrt: 4.0ms (8.1% of total)

ival-add: 3.0ms (6.1% of total)

ival-fabs: 1.0ms (2% of total)

const: 1.0ms (2% of total)

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

series74.0ms (1%)

Counts

19 → 465

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(/ x y)
7.0ms	y	@	0	(/ x y)
3.0ms	y	@	-inf	(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
1.0ms	z	@	0	(* x (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
1.0ms	y	@	0	(* 1/2 (* (/ y x) (sqrt (/ 1 z))))

rewrite145.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

379×	`associate-r`
273×	`log1p-expm1-u`
273×	`expm1-log1p-u`
270×	`add-exp-log`
270×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	601
1	667	561

Stop Event

1×	node limit

Counts

19 → 454

Calls

Call 1

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

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

simplify372.0ms (5%)

Algorithm

1×	egg-herbie

Rules

453×	`cube-prod`
451×	`exp-prod`
413×	`fma-neg`
371×	`*-commutative`
333×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	957	30859
1	2186	29894
2	6518	29597

Stop Event

1×	node limit

Counts

919 → 598

Calls

Call 1

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

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

eval104.0ms (1.4%)

Compiler: Compiled 12913 to 3056 computations (76.3% saved)

prune122.0ms (1.6%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	746	4	750
Fresh	2	2	4
Picked	2	3	5
Done	1	2	3
Total	751	11	762

Accuracy

100.0%

Counts

762 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.8%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z)))
	74.3%	(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 x z)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) (sqrt.f64 z))) (*.f64 x z)))
▶	48.2%	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
▶	79.1%	(.f64 z (.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
✓	90.4%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))
✓	37.3%	(.f64 x (.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
▶	37.5%	(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 x (sqrt.f64 z)))))
✓	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	82.4%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
✓	52.9%	(*.f64 #s(literal 1/2 binary64) x)
✓	27.4%	(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 228 to 158 computations (30.7% saved)

simplify189.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 (/.f64 x y) (sqrt.f64 z))
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	256	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z)))
✓	cost-diff	0	(/.f64 x (sqrt.f64 z))
✓	cost-diff	0	(/.f64 y (/.f64 x (sqrt.f64 z)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 x (sqrt.f64 z))))
✓	cost-diff	256	(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 x (sqrt.f64 z)))))
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
✓	cost-diff	-6272	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
✓	cost-diff	0	(pow.f64 z #s(literal 3/2 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
✓	cost-diff	0	(*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))

Rules

2262×	`associate-/r*`
1175×	`fma-define`
645×	`*-commutative`
486×	`associate-r`
473×	`associate-l`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	599
1	81	591
2	187	591
3	371	591
4	788	582
5	2371	582
6	4144	582
7	4306	582
8	4564	582
9	4982	582
10	5250	582
11	5819	582
12	5870	582
13	5870	582

Stop Event

1×	node limit

Calls

Call 1

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

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

localize158.0ms (2.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓	accuracy	98.9%	(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
✓	accuracy	79.2%	(.f64 z (.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	95.6%	(/.f64 (/.f64 x y) (sqrt.f64 z))
✓	accuracy	86.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 x (sqrt.f64 z))))
✓	accuracy	99.7%	(/.f64 x (sqrt.f64 z))
✓	accuracy	93.7%	(/.f64 y (/.f64 x (sqrt.f64 z)))
✓	accuracy	86.7%	(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 x (sqrt.f64 z)))))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.7%	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))))
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
✓	accuracy	99.7%	(*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))
✓	accuracy	67.5%	(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))

Results

106.0ms

256×

valid

Compiler

Compiled 173 to 30 computations (82.7% saved)

Precisions

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

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

ival-div: 15.0ms (24.7% of total)

ival-sqrt: 9.0ms (14.8% of total)

ival-pow: 9.0ms (14.8% of total)

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

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

const: 1.0ms (1.6% of total)

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

series129.0ms (1.7%)

Counts

18 → 427

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(pow z 3/2)
2.0ms	x	@	-inf	(/ (/ x y) (sqrt z))
1.0ms	z	@	-inf	(/ (/ x y) (sqrt z))
1.0ms	z	@	0	(* z (* 1/2 (+ (* y (sqrt (/ 1 z))) (/ x z))))
1.0ms	z	@	0	(pow z 3/2)

rewrite147.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

305×	`associate-r`
273×	`log1p-expm1-u`
273×	`expm1-log1p-u`
266×	`add-cube-cbrt`
264×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	468
1	617	422

Stop Event

1×	node limit

Counts

18 → 508

Calls

Call 1

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

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

simplify447.0ms (6%)

Algorithm

1×	egg-herbie

Rules

632×	`times-frac`
464×	`fma-neg`
345×	`associate-*r/`
337×	`associate-/r*`
334×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1129	28571
1	2645	27702
2	7884	27698

Stop Event

1×	node limit

Counts

935 → 686

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

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

eval108.0ms (1.5%)

Compiler: Compiled 12968 to 3032 computations (76.6% saved)

prune122.0ms (1.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	858	4	862
Fresh	1	0	1
Picked	4	1	5
Done	2	3	5
Total	865	8	873

Accuracy

100.0%

Counts

873 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
	37.9%	(.f64 (/.f64 y x) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 z #s(literal -1/2 binary64))))
✓	48.2%	(.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))
	39.6%	(.f64 z (.f64 #s(literal 1/2 binary64) (/.f64 x z)))
	41.4%	(.f64 z (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
✓	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	52.9%	(*.f64 #s(literal 1/2 binary64) x)
✓	27.4%	(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 333 to 155 computations (53.5% saved)

regimes71.0ms (1%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

7 calls:

24.0ms	(sqrt.f64 z)
9.0ms	x
9.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
7.0ms	(*.f64 y (sqrt.f64 z))
7.0ms	z

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.6%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.6%	1	`(*.f64 y (sqrt.f64 z))`
99.6%	1	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes10.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(sqrt.f64 z)
2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
75.6%	3	`x`
77.1%	3	`y`
68.8%	2	`z`
68.8%	2	`(sqrt.f64 z)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes6.0ms (0.1%)

Accuracy

Total -20.9b remaining (-69.4%)

Threshold costs -20.9b (-69.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
52.9%	1	`z`
52.9%	1	`x`
52.9%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.201222560293971e-6	0.29837504826380606
16.0ms	-4.098043080753031e+93	-7.258761557336581e+86

Results

23.0ms

288×

valid

Compiler

Compiled 325 to 267 computations (17.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sqrt: 6.0ms (42.3% of total)

ival-mult: 4.0ms (28.2% of total)

ival-div: 2.0ms (14.1% of total)

ival-add: 2.0ms (14.1% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	106
1	38	106

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -819999999999999984390184701991140735656411800940915338804024956797686798035844641849344 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))

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

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 y #s(literal -819999999999999984390184701991140735656411800940915338804024956797686798035844641849344 binary64)) (.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
(if (or (<=.f64 y #s(literal -819999999999999984390184701991140735656411800940915338804024956797686798035844641849344 binary64)) (not (<=.f64 y #s(literal 1/4 binary64)))) (.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)

soundness427.0ms (5.8%)

Rules

969×	`fma-neg`
453×	`fma-define`
384×	`associate-/l*`
348×	`exp-prod`
341×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	388	7992
1	903	6776
2	3057	6394
3	7217	6304
0	44	376
1	128	332
2	369	332
3	781	332
4	1343	332
5	2233	332
6	2744	332
7	3237	332
8	3551	332
9	3704	332
10	3785	332
11	3835	332
12	3835	332

Stop Event

1×	fuel
1×	saturated
1×	node limit

Compiler

Compiled 80 to 42 computations (47.5% saved)

preprocess29.0ms (0.4%)

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

analyze60.0ms (0.8%)

sample1.3s (18%)

preprocess197.0ms (2.7%)

explain145.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize39.0ms (0.5%)

series13.0ms (0.2%)

rewrite258.0ms (3.5%)

simplify335.0ms (4.5%)

eval25.0ms (0.3%)

prune118.0ms (1.6%)

simplify158.0ms (2.1%)

localize170.0ms (2.3%)

series593.0ms (8%)

rewrite233.0ms (3.1%)

simplify481.0ms (6.5%)

eval80.0ms (1.1%)

prune91.0ms (1.2%)

simplify245.0ms (3.3%)

localize135.0ms (1.8%)

series74.0ms (1%)

rewrite145.0ms (2%)

simplify372.0ms (5%)

eval104.0ms (1.4%)

prune122.0ms (1.6%)

simplify189.0ms (2.5%)

localize158.0ms (2.1%)

series129.0ms (1.7%)

rewrite147.0ms (2%)

simplify447.0ms (6%)

eval108.0ms (1.5%)

prune122.0ms (1.6%)

regimes71.0ms (1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch37.0ms (0.5%)

simplify3.0ms (0%)

soundness427.0ms (5.8%)

preprocess29.0ms (0.4%)

end0.0ms (0%)

Profiling