Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

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 9 computations (30.8% saved)

Precisions

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

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

ival-add: 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)

sample792.0ms (9.3%)

Results

595.0ms	8255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 262.0ms

ival-div: 98.0ms (37.4% of total)

ival-add: 84.0ms (32% of total)

ival-mult: 69.0ms (26.3% of total)

const: 10.0ms (3.8% of total)

backward-pass: 2.0ms (0.8% of total)

Bogosity

preprocess210.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1010×	`fma-neg`
531×	`fma-define`
206×	`distribute-rgt-in`
150×	`sub-neg`
138×	`unsub-neg`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	371
2	275	371
3	801	323
4	1690	297
5	2822	292
6	3298	292
7	3484	292
8	3535	292
9	3543	292
10	3543	276
11	4081	276
12	4081	276

Stop Event

1×

saturated

Calls

Call 1

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

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

explain112.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

81.0ms

512×

valid

Compiler

Compiled 72 to 26 computations (63.9% saved)

Precisions

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

ival-add: 5.0ms (36.4% of total)

ival-div: 4.0ms (29.1% of total)

ival-mult: 4.0ms (29.1% of total)

const: 1.0ms (7.3% of total)

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

eval1.0ms (0%)

Compiler: Compiled 33 to 17 computations (48.5% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
▶	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
▶	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

20×	`fma-define`
8×	`associate-+r+`
8×	`associate-+l+`
8×	`+-commutative`
3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	200
1	36	200
2	51	200
3	75	200
4	83	200

Stop Event

1×

saturated

Calls

Call 1

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

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

localize74.0ms (0.9%)

Localize:

Found 9 expressions of interest:

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

Results

58.0ms

256×

valid

Compiler

Compiled 60 to 16 computations (73.3% saved)

Precisions

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

ival-add: 5.0ms (32.9% of total)

ival-mult: 4.0ms (26.3% of total)

ival-fma: 3.0ms (19.7% of total)

ival-sub: 2.0ms (13.2% of total)

ival-div: 2.0ms (13.2% of total)

const: 1.0ms (6.6% of total)

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

series62.0ms (0.7%)

Counts

9 → 204

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite2.9s (34.3%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`log1p-expm1-u`
950×	`expm1-log1p-u`
450×	`fma-neg`
128×	`add-cube-cbrt`
126×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	152
1	318	152
2	4309	152

Stop Event

1×	node limit

Counts

9 → 375

Calls

Call 1

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

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

simplify338.0ms (4%)

Algorithm

1×	egg-herbie

Rules

628×	`fma-neg`
463×	`distribute-lft-neg-in`
426×	`distribute-rgt-neg-in`
237×	`fma-define`
229×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	568	23693
1	1389	22723
2	4419	22279

Stop Event

1×	node limit

Counts

579 → 314

Calls

Call 1

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

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

eval40.0ms (0.5%)

Compiler: Compiled 5041 to 986 computations (80.4% saved)

prune107.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	310	4	314
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	311	6	317

Accuracy

100.0%

Counts

317 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
▶	73.7%	(+.f64 (*.f64 x y) z)
▶	63.4%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	89.7%	(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
▶	38.8%	z

Compiler

Compiled 54 to 37 computations (31.5% saved)

simplify233.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	-6272	(+.f64 (*.f64 x y) z)
	cost-diff	0	(*.f64 x y)
✓	cost-diff	-6272	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	-6144	(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 z x))
✓	cost-diff	0	(+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))

Rules

1050×	`cube-prod`
1050×	`fma-define`
753×	`swap-sqr`
452×	`cube-div`
423×	`associate-/r/`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	191
1	35	191
2	60	191
3	101	191
4	121	184
5	126	178
6	150	178
7	175	178
8	264	178
9	825	178
10	2091	178
11	3130	178
12	3849	178
13	4984	178
14	6098	178
15	6426	178
16	6514	178
17	6584	178
18	6662	178
19	6749	178
20	7769	178

Stop Event

1×	node limit

Calls

Call 1

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

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

localize91.0ms (1.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x y)
	accuracy	100.0%	(+.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 z x))
✓	accuracy	89.7%	(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))

Results

74.0ms

256×

valid

Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions

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

ival-div: 39.0ms (79% of total)

ival-add: 5.0ms (10.1% of total)

ival-mult: 5.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Counts

6 → 123

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* x (+ y (+ 1/2 (/ z x))))
1.0ms	x	@	-inf	(+ y (+ 1/2 (/ z x)))
0.0ms	z	@	inf	(+ y (+ 1/2 (/ z x)))
0.0ms	y	@	0	(* x (+ y (+ 1/2 (/ z x))))
0.0ms	y	@	0	(+ y (+ 1/2 (/ z x)))

rewrite159.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`log1p-expm1-u`
875×	`expm1-log1p-u`
578×	`fma-define`
295×	`fma-neg`
212×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	122
1	236	122
2	3683	122

Stop Event

1×	node limit

Counts

6 → 266

Calls

Call 1

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

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

simplify279.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

444×	`fma-neg`
385×	`distribute-lft-neg-in`
384×	`distribute-rgt-neg-in`
269×	`associate-r`
237×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	589	12260
1	1378	11761
2	4323	10960

Stop Event

1×	node limit

Counts

389 → 376

Calls

Call 1

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

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

eval95.0ms (1.1%)

Compiler: Compiled 6291 to 1280 computations (79.7% saved)

prune62.0ms (0.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	436	3	439
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	436	9	445

Accuracy

100.0%

Counts

445 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	73.7%	(+.f64 (*.f64 x y) z)
✓	63.4%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	63.4%	(*.f64 x (+.f64 y (/.f64 z x)))
✓	89.7%	(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
▶	61.9%	(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
▶	36.8%	(*.f64 x y)
✓	38.8%	z

Compiler

Compiled 78 to 53 computations (32.1% saved)

simplify483.0ms (5.7%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(*.f64 x (+.f64 y (/.f64 z x)))
	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(+.f64 y (/.f64 z x))
	cost-diff	0	(+.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
	cost-diff	0	(*.f64 x y)

Rules

1744×	`cube-prod`
802×	`swap-sqr`
794×	`cube-div`
517×	`pow-sqr`
407×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	137
1	31	137
2	48	137
3	54	130
4	57	124
5	75	124
6	100	124
7	176	124
8	690	124
9	1853	124
10	2691	124
11	3198	124
12	3876	124
13	4800	124
14	5128	124
15	5217	124
16	5287	124
17	5365	124
18	5535	124
19	6629	124
20	7138	124
21	7241	124
22	7319	124
23	7392	124
24	7465	124
25	7540	124
26	7627	124
27	7714	124
28	7801	124
29	7888	124

Stop Event

1×	node limit

Calls

Call 1

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

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

localize160.0ms (1.9%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(+.f64 y (/.f64 z x))
✓	accuracy	89.7%	(*.f64 x (+.f64 y (/.f64 z x)))
	accuracy	100.0%	(+.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
	accuracy	100.0%	(*.f64 x y)

Results

150.0ms

256×

valid

Compiler

Compiled 38 to 11 computations (71.1% saved)

Precisions

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

ival-mult: 6.0ms (54.6% of total)

ival-add: 3.0ms (27.3% of total)

ival-div: 2.0ms (18.2% of total)

const: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Counts

3 → 81

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite120.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`log1p-expm1-u`
704×	`expm1-log1p-u`
550×	`log-prod`
346×	`fma-define`
197×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	72
1	205	72
2	3109	72

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

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

simplify172.0ms (2%)

Algorithm

1×	egg-herbie

Rules

528×	`distribute-lft-in`
491×	`distribute-rgt-in`
402×	`associate-/r*`
274×	`associate-*r/`
245×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	447	7143
1	1045	6656
2	3068	6606

Stop Event

1×	node limit

Counts

254 → 234

Calls

Call 1

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

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

eval73.0ms (0.9%)

Compiler: Compiled 3652 to 792 computations (78.3% saved)

prune44.0ms (0.5%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	290	2	292
Fresh	0	0	0
Picked	0	3	3
Done	1	5	6
Total	291	10	301

Accuracy

100.0%

Counts

301 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
▶	61.9%	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
✓	73.7%	(+.f64 (*.f64 x y) z)
✓	63.4%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	63.4%	(*.f64 x (+.f64 y (/.f64 z x)))
✓	89.7%	(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
✓	61.9%	(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
✓	36.8%	(*.f64 x y)
▶	26.3%	(*.f64 x #s(literal 1/2 binary64))
✓	38.8%	z

Compiler

Compiled 82 to 57 computations (30.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

4×	`fma-define`
3×	`*-commutative`
2×	`+-commutative`
2×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	66
1	18	66
2	24	66

Stop Event

1×

saturated

Calls

Call 1

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

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

localize30.0ms (0.4%)

Localize:

Found 4 expressions of interest:

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

Results

20.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (73.3% of total)

ival-add: 1.0ms (18.3% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`unpow-prod-down`
599×	`log1p-expm1-u`
599×	`expm1-log1p-u`
329×	`fma-define`
318×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	121	19
2	1647	19

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
(.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 (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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) x)
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 1/2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (sqrt.f64 (exp.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))))
(log.f64 (.f64 (sqrt.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 x y))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

655×	`unswap-sqr`
435×	`times-frac`
290×	`fma-define`
260×	`div-sub`
235×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	3129
1	520	3034
2	1330	2900
3	5239	2900

Stop Event

1×	node limit

Counts

106 → 102

Calls

Call 1

Inputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
(.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 (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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) x)
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 1/2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (sqrt.f64 (exp.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))))
(log.f64 (.f64 (sqrt.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 x y))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))

Outputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 x y) y (.f64 #s(literal -1/4 binary64) x)) (+.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.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 x (+.f64 #s(literal 1/2 binary64) y))
(.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 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 x y) y (.f64 #s(literal -1/4 binary64) x)) (+.f64 y #s(literal -1/2 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 x y) y (.f64 #s(literal -1/4 binary64) x)) (+.f64 y #s(literal -1/2 binary64)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) y) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 8 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 x y) y (.f64 #s(literal -1/4 binary64) x)) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 x y) y (.f64 #s(literal -1/4 binary64) x)) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 x y) y (.f64 #s(literal -1/4 binary64) x)) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 x y) y (.f64 #s(literal -1/4 binary64) x)) (+.f64 y #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 x y) y (.f64 #s(literal -1/4 binary64) x)) (+.f64 y #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 1/2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (sqrt.f64 (exp.f64 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (.f64 (sqrt.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))

eval136.0ms (1.6%)

Compiler: Compiled 1737 to 347 computations (80% saved)

prune33.0ms (0.4%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	147	10	157

Accuracy

100.0%

Counts

157 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	61.9%	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
✓	73.7%	(+.f64 (*.f64 x y) z)
✓	63.4%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	63.4%	(*.f64 x (+.f64 y (/.f64 z x)))
✓	89.7%	(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
✓	61.9%	(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
✓	36.8%	(*.f64 x y)
✓	26.3%	(*.f64 x #s(literal 1/2 binary64))
✓	38.8%	z

Compiler

Compiled 161 to 85 computations (47.2% saved)

regimes28.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	y
5.0ms	x
5.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
5.0ms	z
5.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes13.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
88.0%	3	`x`
98.0%	3	`y`
87.0%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
81.8%	3	`x`
85.9%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
78.2%	3	`x`
73.8%	3	`z`
61.9%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
64.9%	5	`y`
55.1%	3	`z`
58.8%	4	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
49.6%	3	`z`
51.8%	3	`x`
42.4%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
38.8%	1	`y`
38.8%	1	`z`
38.8%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.3993536305674058e-6	616377689178.851
13.0ms	-131.7538911126068	-0.007109307462227341

Results

18.0ms

288×

valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

Precisions

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

ival-add: 3.0ms (39.8% of total)

ival-div: 2.0ms (26.5% of total)

ival-mult: 2.0ms (26.5% of total)

const: 0.0ms (0% of total)

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

bsearch63.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.732169204906411e+88	6.078823375138217e+90
51.0ms	-8.073172504315161e-6	-2.568354343189872e-7

Results

13.0ms

224×

valid

Compiler

Compiled 270 to 209 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34.5% of total)

ival-add: 2.0ms (34.5% of total)

ival-mult: 2.0ms (34.5% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.4802773073394145e-103	1.242618178962425e-96
16.0ms	-3.450924932341879e-124	-8.522583986591533e-131

Results

19.0ms

288×

valid

Compiler

Compiled 270 to 211 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 5.0ms (48.3% of total)

ival-div: 2.0ms (19.3% of total)

ival-mult: 2.0ms (19.3% of total)

const: 0.0ms (0% of total)

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

bsearch105.0ms (1.2%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.732169204906411e+88	6.078823375138217e+90
12.0ms	-3.6835648975529174e-286	-1.192368246885149e-287
70.0ms	-2.1245715472493606e-54	-7.784312833456743e-63
10.0ms	-5.0257577848991985e+31	-1.2436944449449661e+30

Results

27.0ms

480×

valid

Compiler

Compiled 378 to 299 computations (20.9% saved)

Precisions

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

ival-add: 5.0ms (39.9% of total)

ival-mult: 4.0ms (32% of total)

ival-div: 3.0ms (24% of total)

const: 1.0ms (8% of total)

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

bsearch66.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.633509855793391e+31	2.4751002013093128e+39
49.0ms	-4.303324618414998e+142	-1.673838358281361e+141

Results

56.0ms

256×

valid

Compiler

Compiled 210 to 173 computations (17.6% saved)

Precisions

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

ival-div: 41.0ms (89.8% of total)

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

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

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
8×	`if-if-or-not`
5×	`*-commutative`
2×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	401
1	90	401
2	95	401
3	97	401
4	98	401

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -8500259669165361/1180591620717411303424 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 89999999999999998114352265849916975417577148811279145397760407758222311187192099589062656 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -4953946674085437/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 4432725697094379/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) z (.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -16999999999999998930663738703872 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -5558020283391177/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) z (if (<=.f64 y #s(literal -1607262910779401/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 95000000000000005862247679634398272199875882602654723819786638747541142349174777533431808 binary64)) z (*.f64 x y)))))
(if (<=.f64 x #s(literal -2599999999999999942599973213239110431752526137456445805396603387987998852452709009142752513588840574737399257460736805424784278243904485064704 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 7199999999999999479014454590741413888 binary64)) z (.f64 x #s(literal 1/2 binary64))))
z

Outputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) z)
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(+.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) (+.f64 z (.f64 x y)) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -8500259669165361/1180591620717411303424 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 89999999999999998114352265849916975417577148811279145397760407758222311187192099589062656 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(if (or (<=.f64 y #s(literal -8500259669165361/1180591620717411303424 binary64)) (not (<=.f64 y #s(literal 89999999999999998114352265849916975417577148811279145397760407758222311187192099589062656 binary64)))) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -4953946674085437/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 4432725697094379/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) z (.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(if (or (<=.f64 x #s(literal -4953946674085437/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (not (<=.f64 x #s(literal 4432725697094379/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(if (<=.f64 y #s(literal -16999999999999998930663738703872 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -5558020283391177/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) z (if (<=.f64 y #s(literal -1607262910779401/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 95000000000000005862247679634398272199875882602654723819786638747541142349174777533431808 binary64)) z (*.f64 x y)))))
(if (<=.f64 x #s(literal -2599999999999999942599973213239110431752526137456445805396603387987998852452709009142752513588840574737399257460736805424784278243904485064704 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 7199999999999999479014454590741413888 binary64)) z (.f64 x #s(literal 1/2 binary64))))
(if (or (<=.f64 x #s(literal -2599999999999999942599973213239110431752526137456445805396603387987998852452709009142752513588840574737399257460736805424784278243904485064704 binary64)) (not (<=.f64 x #s(literal 7199999999999999479014454590741413888 binary64)))) (*.f64 x #s(literal 1/2 binary64)) z)
z

soundness1.0s (11.9%)

Rules

1010×	`fma-neg`
628×	`fma-neg`
531×	`fma-define`
528×	`distribute-lft-in`
491×	`distribute-rgt-in`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	568	23693
1	1389	22723
2	4419	22279
0	40	435
1	99	371
2	275	371
3	801	323
4	1690	297
5	2822	292
6	3298	292
7	3484	292
8	3535	292
9	3543	292
10	3543	276
11	4081	276
12	4081	276
0	447	7143
1	1045	6656
2	3068	6606

Stop Event

1×	done
1×	node limit
1×	saturated
1×	node limit

Compiler

Compiled 287 to 131 computations (54.4% saved)

preprocess53.0ms (0.6%)

Compiler: Compiled 250 to 128 computations (48.8% saved)

analyze0.0ms (0%)

sample792.0ms (9.3%)

preprocess210.0ms (2.5%)

explain112.0ms (1.3%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify9.0ms (0.1%)

localize74.0ms (0.9%)

series62.0ms (0.7%)

rewrite2.9s (34.3%)

simplify338.0ms (4%)

eval40.0ms (0.5%)

prune107.0ms (1.3%)

simplify233.0ms (2.7%)

localize91.0ms (1.1%)

series19.0ms (0.2%)

rewrite159.0ms (1.9%)

simplify279.0ms (3.3%)

eval95.0ms (1.1%)

prune62.0ms (0.7%)

simplify483.0ms (5.7%)

localize160.0ms (1.9%)

series14.0ms (0.2%)

rewrite120.0ms (1.4%)

simplify172.0ms (2%)

eval73.0ms (0.9%)

prune44.0ms (0.5%)

simplify7.0ms (0.1%)

localize30.0ms (0.4%)

series2.0ms (0%)

rewrite86.0ms (1%)

simplify90.0ms (1.1%)

eval136.0ms (1.6%)

prune33.0ms (0.4%)

regimes28.0ms (0.3%)

regimes13.0ms (0.2%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch29.0ms (0.3%)

bsearch63.0ms (0.7%)

bsearch31.0ms (0.4%)

bsearch105.0ms (1.2%)

bsearch66.0ms (0.8%)

simplify9.0ms (0.1%)

soundness1.0s (11.9%)

preprocess53.0ms (0.6%)

end0.0ms (0%)

Profiling