Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-div: 0.0ms (0% of total)

ival-sub: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

sample1.5s (41.9%)

Results

1.1s	8255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 792.0ms

ival-mult: 454.0ms (57.3% of total)

ival-div: 211.0ms (26.6% of total)

ival-sub: 109.0ms (13.8% of total)

const: 16.0ms (2% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess107.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-define`
378×	`fma-neg`
86×	`unsub-neg`
83×	`distribute-lft-neg-in`
79×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1448	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (*.f64 z (/.f64 y #s(literal 2 binary64))) (/.f64 x #s(literal 8 binary64)))
(fma.f64 z (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -8 binary64)))
(fma.f64 y (/.f64 z #s(literal 2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 z #s(literal 2 binary64))) (/.f64 y #s(literal 8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (/.f64 y #s(literal -8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
(fma.f64 x (.f64 z #s(literal 1/2 binary64)) (.f64 y #s(literal -1/8 binary64)))

Symmetry

(sort x y)

explain241.0ms (6.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 z #s(literal 8 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
-	-	`(*.f64 x y)`
-	-	`z`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`#s(literal 8 binary64)`

Results

212.0ms

512×

valid

Compiler

Compiled 70 to 29 computations (58.6% saved)

Precisions

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

ival-div: 143.0ms (92.9% of total)

ival-mult: 5.0ms (3.2% of total)

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

const: 1.0ms (0.6% of total)

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

eval1.0ms (0%)

Compiler: Compiled 36 to 19 computations (47.2% saved)

prune6.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize92.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z #s(literal -8 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
✓	cost-diff	-6272	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	cost-diff	0	(/.f64 z #s(literal 8 binary64))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
✓	accuracy	100.0%	(/.f64 z #s(literal -8 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 z #s(literal 8 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Rules

212×	`fma-define`
147×	`fma-neg`
44×	`distribute-lft-neg-in`
31×	`cancel-sign-sub-inv`
30×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
y
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 z #s(literal -8 binary64))
z
#s(literal -8 binary64)

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
(*.f64 z #s(literal 1/8 binary64))
z
#s(literal 8 binary64)
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
y
(/.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 2 binary64)
(/.f64 z #s(literal -8 binary64))
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -8 binary64)

Results

37.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 7.0ms (45.8% of total)

ival-fma: 4.0ms (26.1% of total)

ival-mult: 2.0ms (13.1% of total)

ival-sub: 1.0ms (6.5% of total)

const: 1.0ms (6.5% of total)

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

series44.0ms (1.2%)

Counts

7 → 132

Calls

Call 1

Inputs
#<alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))>
#<alt (/.f64 (*.f64 x y) #s(literal 2 binary64))>
#<alt (*.f64 x y)>
#<alt (/.f64 z #s(literal 8 binary64))>
#<alt (/.f64 x #s(literal 2 binary64))>
#<alt (/.f64 z #s(literal -8 binary64))>
#<alt (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))>

Outputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>

Calls

39 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(- (/ (* x y) 2) (/ z 8))
1.0ms	x	@	inf	(/ (* x y) 2)
1.0ms	y	@	inf	(- (/ (* x y) 2) (/ z 8))
1.0ms	x	@	inf	(- (/ (* x y) 2) (/ z 8))
0.0ms	z	@	inf	(- (/ (* x y) 2) (/ z 8))

rewrite267.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`log1p-expm1-u`
1078×	`expm1-log1p-u`
262×	`fma-define`
176×	`log1p-undefine`
144×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	130
1	255	122
2	3671	122

Stop Event

1×	node limit

Counts

7 → 340

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 z #s(literal -8 binary64))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Outputs
(+.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64))) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x y) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64) (.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(hypot.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(fma.f64 (.f64 x y) #s(literal 1/2 binary64) (.f64 z #s(literal 1/8 binary64)))
(fma.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 z #s(literal 1/8 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 z #s(literal -1/8 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal 1/8 binary64)))
(fma.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (*.f64 z #s(literal 1/8 binary64)))
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(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(-.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 x (.f64 y #s(literal 8 binary64))) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64))) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x y) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64) (.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(hypot.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))

simplify188.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

501×	`fma-neg`
472×	`cancel-sign-sub-inv`
404×	`associate-*r/`
328×	`distribute-lft-neg-in`
321×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	486	12740
1	1063	12151
2	3282	11971

Stop Event

1×	node limit

Counts

472 → 312

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
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(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(-.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 x (.f64 y #s(literal 8 binary64))) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64))) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x y) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64) (.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(hypot.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))

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

eval51.0ms (1.4%)

Compiler: Compiled 4495 to 771 computations (82.8% saved)

prune46.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	310	4	314

Accuracy

100.0%

Counts

314 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
▶	89.7%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
▶	54.8%	(.f64 x (.f64 #s(literal 1/2 binary64) y))
▶	46.9%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 40 to 30 computations (25% saved)

localize266.0ms (7.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal 1/8 binary64))
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
✓	accuracy	92.9%	(/.f64 (*.f64 x y) z)
✓	accuracy	90.0%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(.f64 x (.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) z)

Rules

1075×	`associate-/r/`
979×	`*-commutative`
701×	`cube-prod`
500×	`associate-/r*`
392×	`swap-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	199
1	37	199
2	54	199
3	94	199
4	209	190
5	317	190
6	502	190
7	1020	190
8	2051	190
9	3041	190
10	3108	190
11	3168	190
12	3245	190
13	3342	190
14	3455	190
15	5357	190
16	6421	190
17	7507	190
18	7925	190

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(.f64 x (.f64 #s(literal 1/2 binary64) y))
x
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
z
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal 1/8 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
#s(literal 1/8 binary64)

Outputs
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(.f64 y (.f64 x #s(literal 1/2 binary64)))
x
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(.f64 z (fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) z) #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 y (.f64 x #s(literal 1/2 binary64))))
z
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) #s(literal -1/8 binary64))
(fma.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1/8 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x z) #s(literal -1/8 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
(.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y z)))
(.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) z))
(.f64 x (.f64 y (/.f64 #s(literal 1/2 binary64) z)))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 x y)
x
y
#s(literal 1/8 binary64)

Results

38.0ms

256×

valid

Compiler

Compiled 60 to 15 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (70.1% of total)

ival-sub: 3.0ms (17.5% of total)

ival-div: 2.0ms (11.7% of total)

const: 1.0ms (5.8% of total)

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

series19.0ms (0.5%)

Counts

7 → 81

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 x (.f64 #s(literal 1/2 binary64) y))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal 1/8 binary64))>

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt #s(literal -1/8 binary64)>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal -1/8 binary64)>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) z)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) z)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) z)>
#<alt #s(literal -1/8 binary64)>
#<alt #s(literal -1/8 binary64)>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(* z (- (* 1/2 (/ (* x y) z)) 1/8))
2.0ms	z	@	inf	(* z (- (* 1/2 (/ (* x y) z)) 1/8))
1.0ms	z	@	0	(* z (- (* 1/2 (/ (* x y) z)) 1/8))
1.0ms	x	@	0	(* z (- (* 1/2 (/ (* x y) z)) 1/8))
1.0ms	x	@	inf	(* z (- (* 1/2 (/ (* x y) z)) 1/8))

rewrite149.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`log1p-expm1-u`
781×	`expm1-log1p-u`
760×	`log-prod`
222×	`expm1-undefine`
222×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	158
1	257	158
2	3415	158

Stop Event

1×	node limit

Counts

7 → 201

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(/.f64 (*.f64 x y) z)
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal 1/8 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/8 binary64) z))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 y (/.f64 x z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal -1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) (fma.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) (fma.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x z))) #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal 1/8 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal 1/8 binary64))))
(pow.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x z)) #s(literal -1/8 binary64))
(fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))
(fma.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) z) #s(literal -1/8 binary64))
(fma.f64 (.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))
(fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) #s(literal -1/8 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z))) #s(literal 1 binary64) #s(literal -1/8 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z))) #s(literal -1/8 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (/.f64 x z))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) #s(literal 2 binary64)) #s(literal -1/8 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) #s(literal -1/8 binary64))
(fma.f64 (sqrt.f64 (.f64 y (/.f64 x z))) (.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) #s(literal -1/8 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (cbrt.f64 z)) #s(literal -1/8 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 (*.f64 y x) (sqrt.f64 z)) #s(literal -1/8 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 y (/.f64 x z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal -1/8 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 y (/.f64 x z)))) (sqrt.f64 (*.f64 y (/.f64 x z))) #s(literal -1/8 binary64))

simplify141.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

501×	`distribute-lft-in`
450×	`distribute-rgt-in`
335×	`distribute-lft-neg-in`
309×	`distribute-rgt-neg-in`
258×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	498	9579
1	1034	9239
2	3380	8702

Stop Event

1×	node limit

Counts

282 → 281

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
#s(literal -1/8 binary64)
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(literal -1/8 binary64)
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
(.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) z)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) z)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) z)
#s(literal -1/8 binary64)
#s(literal -1/8 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/8 binary64) z))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) y))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x))))
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(fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) #s(literal -1/8 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z))) #s(literal 1 binary64) #s(literal -1/8 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z))) #s(literal -1/8 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (/.f64 x z))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) #s(literal 2 binary64)) #s(literal -1/8 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) #s(literal -1/8 binary64))
(fma.f64 (sqrt.f64 (.f64 y (/.f64 x z))) (.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 x z)))) #s(literal -1/8 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (cbrt.f64 z)) #s(literal -1/8 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 (*.f64 y x) (sqrt.f64 z)) #s(literal -1/8 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 y (/.f64 x z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal -1/8 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 y (/.f64 x z)))) (sqrt.f64 (*.f64 y (/.f64 x z))) #s(literal -1/8 binary64))

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

eval39.0ms (1%)

Compiler: Compiled 4355 to 1084 computations (75.1% saved)

prune43.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	298	0	298
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	298	4	302

Accuracy

100.0%

Counts

302 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	89.7%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
✓	54.8%	(.f64 x (.f64 #s(literal 1/2 binary64) y))
✓	46.9%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 79 to 53 computations (32.9% saved)

regimes18.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Calls

7 calls:

3.0ms	x
3.0ms	(*.f64 x y)
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	z
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes16.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Calls

7 calls:

3.0ms	x
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	z
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))

Outputs
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))

Calls

3 calls:

2.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
76.0%	3	`x`
78.9%	3	`y`
74.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(*.f64 #s(literal -1/8 binary64) z)

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
46.9%	1	`z`
46.9%	1	`x`
46.9%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.125992624149433e+46	3.9945087103125015e+56
14.0ms	-4.8630128920232834e-83	-4.876042533274102e-86

Results

19.0ms

288×

valid

Compiler

Compiled 306 to 248 computations (19% saved)

Precisions

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

ival-div: 4.0ms (37.8% of total)

ival-sub: 4.0ms (37.8% of total)

ival-mult: 3.0ms (28.4% of total)

const: 1.0ms (9.5% of total)

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	134
1	46	134
2	55	134
3	61	134
4	66	134
5	68	134

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 y #s(literal -5030676667000927/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 154000000000000007563556213087801209571533389824 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 y #s(literal -5030676667000927/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 154000000000000007563556213087801209571533389824 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(if (or (<=.f64 y #s(literal -5030676667000927/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) (not (<=.f64 y #s(literal 154000000000000007563556213087801209571533389824 binary64)))) (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))

soundness326.0ms (8.9%)

Rules

661×	`fma-define`
501×	`fma-neg`
472×	`cancel-sign-sub-inv`
404×	`associate-*r/`
378×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1448	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330
0	486	12740
1	1063	12151
2	3282	11971

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 119 to 60 computations (49.6% saved)

preprocess34.0ms (0.9%)

Remove: (sort x y)
Compiler: Compiled 192 to 132 computations (31.3% saved)

Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

analyze0.0ms (0%)

sample1.5s (41.9%)

preprocess107.0ms (2.9%)

explain241.0ms (6.5%)

eval1.0ms (0%)

prune6.0ms (0.1%)

localize92.0ms (2.5%)

series44.0ms (1.2%)

rewrite267.0ms (7.3%)

simplify188.0ms (5.1%)

eval51.0ms (1.4%)

prune46.0ms (1.3%)

localize266.0ms (7.2%)

series19.0ms (0.5%)

rewrite149.0ms (4%)

simplify141.0ms (3.8%)

eval39.0ms (1%)

prune43.0ms (1.2%)

regimes18.0ms (0.5%)

regimes16.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch32.0ms (0.9%)

simplify6.0ms (0.2%)

soundness326.0ms (8.9%)

preprocess34.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150