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)

sample839.0ms (20.7%)

Results

560.0ms	8255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

ival-div: 124.0ms (40.9% of total)

ival-add: 91.0ms (30% of total)

ival-mult: 75.0ms (24.7% of total)

const: 11.0ms (3.6% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess239.0ms (5.9%)

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 (2.8%)

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

83.0ms

512×

valid

Compiler

Compiled 72 to 26 computations (63.9% saved)

Precisions

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

ival-div: 45.0ms (74.4% of total)

ival-add: 9.0ms (14.9% of total)

ival-mult: 6.0ms (9.9% of total)

const: 1.0ms (1.7% of total)

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

eval2.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	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

14×	`fma-define`
6×	`+-commutative`
3×	`associate-+r+`
3×	`*-commutative`
3×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	21	66
2	29	66
3	46	66
4	58	66
5	62	66

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

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

localize26.0ms (0.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	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

19.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

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

ival-sub: 2.0ms (37.3% of total)

ival-mult: 2.0ms (37.3% of total)

ival-add: 1.0ms (18.6% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Counts

3 → 72

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)>

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))))>

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+ (* x (- y -1/2)) z)
1.0ms	y	@	-inf	(* x (- y -1/2))
1.0ms	x	@	0	(* x (- y -1/2))
0.0ms	x	@	-inf	(* x (- y -1/2))
0.0ms	y	@	inf	(* x (- y -1/2))

rewrite228.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`prod-diff`
772×	`log1p-expm1-u`
772×	`expm1-log1p-u`
354×	`log-prod`
296×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	154	53
2	2049	53

Stop Event

1×	node limit

Counts

3 → 116

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)

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

simplify185.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

660×	`times-frac`
420×	`div-sub`
274×	`*-commutative`
272×	`sub-neg`
200×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	5184
1	702	5066
2	2193	4958
3	6598	4958

Stop Event

1×	node limit

Counts

188 → 167

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

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

eval62.0ms (1.5%)

Compiler: Compiled 2113 to 497 computations (76.5% saved)

prune42.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	163	4	167
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	163	5	168

Accuracy

100.0%

Counts

168 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.4%	(+.f64 (.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y)))) z)
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
▶	77.7%	(+.f64 (*.f64 x y) z)
▶	65.4%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	43.4%	z

Compiler

Compiled 44 to 30 computations (31.8% saved)

simplify266.0ms (6.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6016	(+.f64 (.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y)))) z)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	cost-diff	256	(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
✓	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))

Rules

1653×	`fma-define`
1468×	`cube-prod`
430×	`pow-sqr`
427×	`times-frac`
382×	`swap-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	233
1	38	221
2	69	221
3	107	203
4	149	193
5	250	193
6	513	193
7	1687	193
8	2658	193
9	3469	193
10	4201	193
11	4484	193
12	4903	193
13	5527	193
14	6349	193
15	6729	193
16	7714	193
17	7777	193
18	7843	193
19	7910	193

Stop Event

1×	node limit

Calls

Call 1

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

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

localize68.0ms (1.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y)))) z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	accuracy	100.0%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
✓	accuracy	90.4%	(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
✓	accuracy	100.0%	(+.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))

Results

52.0ms

256×

valid

Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions

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

ival-mult: 7.0ms (47.6% of total)

ival-add: 5.0ms (34% of total)

ival-div: 2.0ms (13.6% of total)

const: 0.0ms (0% of total)

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

series25.0ms (0.6%)

Counts

9 → 147

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite187.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`log1p-expm1-u`
859×	`expm1-log1p-u`
142×	`add-cube-cbrt`
140×	`add-exp-log`
140×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	195
1	302	183
2	4741	183

Stop Event

1×	node limit

Counts

9 → 259

Calls

Call 1

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

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

simplify237.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-neg`
590×	`distribute-lft-neg-in`
287×	`associate-r`
248×	`associate-l`
223×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	613	12912
1	1408	12183
2	4675	11281

Stop Event

1×	node limit

Counts

406 → 377

Calls

Call 1

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

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

eval57.0ms (1.4%)

Compiler: Compiled 5747 to 1243 computations (78.4% saved)

prune57.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	375	2	377
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	376	6	382

Accuracy

100.0%

Counts

382 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	77.7%	(+.f64 (*.f64 x y) z)
✓	65.4%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	66.4%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z))))
▶	37.0%	(*.f64 x y)
✓	43.4%	z

Compiler

Compiled 48 to 33 computations (31.3% saved)

simplify153.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
✓	cost-diff	-6016	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z))))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 x (/.f64 y z))
	cost-diff	0	(*.f64 x y)

Rules

988×	`fma-define`
911×	`cube-prod`
703×	`cube-div`
646×	`associate-/l/`
365×	`swap-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	134
1	32	126
2	56	126
3	139	115
4	249	111
5	361	111
6	705	111
7	1714	111
8	2351	111
9	2977	111
10	3531	111
11	4388	111
12	5094	111
13	6501	111
14	7263	111
15	7818	111

Stop Event

1×	node limit

Calls

Call 1

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

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

localize37.0ms (0.9%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
✓	accuracy	92.2%	(*.f64 x (/.f64 y z))
✓	accuracy	90.7%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z))))
	accuracy	100.0%	(*.f64 x y)

Results

23.0ms

256×

valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

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

ival-mult: 6.0ms (62% of total)

ival-div: 2.0ms (20.7% of total)

ival-add: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.4%)

Counts

4 → 108

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(* z (+ 1 (* x (/ y z))))
1.0ms	x	@	inf	(* x (/ y z))
1.0ms	z	@	inf	(* x (/ y z))
0.0ms	z	@	0	(* x (/ y z))
0.0ms	x	@	0	(* x (/ y z))

rewrite128.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`log1p-expm1-u`
875×	`expm1-log1p-u`
572×	`prod-diff`
462×	`log-prod`
314×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	175	92
2	2401	92

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

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

simplify205.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

510×	`associate-/l*`
450×	`associate-/r*`
341×	`cancel-sign-sub-inv`
289×	`distribute-lft-neg-in`
275×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	7612
1	931	7214
2	2943	7033

Stop Event

1×	node limit

Counts

289 → 225

Calls

Call 1

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

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

eval64.0ms (1.6%)

Compiler: Compiled 3367 to 739 computations (78.1% saved)

prune89.0ms (2.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	238	6	244

Accuracy

100.0%

Counts

244 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	77.7%	(+.f64 (*.f64 x y) z)
✓	65.4%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	66.4%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z))))
✓	37.0%	(*.f64 x y)
✓	43.4%	z

Compiler

Compiled 101 to 60 computations (40.6% saved)

regimes17.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
3.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x #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)

regimes8.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
80.5%	2	`x`
99.2%	3	`y`
77.7%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
87.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

Outputs
(*.f64 x y)
z
(*.f64 x y)

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
57.9%	3	`z`
60.2%	3	`x`
65.3%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
43.4%	1	`z`
43.4%	1	`x`
43.4%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch29.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.4912914299754996e-6	0.005268378640058837
14.0ms	-8.024250673685316	-1.0141115063643111e-5

Results

16.0ms

272×

valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (41.9% of total)

ival-div: 2.0ms (27.9% of total)

ival-mult: 2.0ms (27.9% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.567593686336468e+25	1.2274962129812982e+30
13.0ms	-8.024250673685316	-1.0141115063643111e-5

Results

18.0ms

272×

valid

Compiler

Compiled 290 to 217 computations (25.2% saved)

Precisions

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

ival-div: 5.0ms (48.6% of total)

ival-add: 3.0ms (29.2% of total)

ival-mult: 2.0ms (19.4% of total)

const: 0.0ms (0% of total)

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

bsearch83.0ms (2.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
69.0ms	2.567593686336468e+25	1.2274962129812982e+30
12.0ms	-8.024250673685316	-1.0141115063643111e-5

Results

73.0ms

272×

valid

Compiler

Compiled 222 to 166 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 59.0ms (91.5% of total)

ival-add: 3.0ms (4.7% of total)

ival-mult: 2.0ms (3.1% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	215
1	56	215
2	61	215
3	63	215
4	64	215

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.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 1498797955988901/288230376151711744 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -8 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 380000000000000021541945344 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (<=.f64 y #s(literal -8 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 33000000000000001056964608 binary64)) z (.f64 x y)))
z

Outputs
(+.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 1498797955988901/288230376151711744 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 1498797955988901/288230376151711744 binary64)))) (+.f64 z (.f64 x y)) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -8 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 380000000000000021541945344 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (or (<=.f64 y #s(literal -8 binary64)) (not (<=.f64 y #s(literal 380000000000000021541945344 binary64)))) (.f64 x y) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -8 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 33000000000000001056964608 binary64)) z (.f64 x y)))
(if (or (<=.f64 y #s(literal -8 binary64)) (not (<=.f64 y #s(literal 33000000000000001056964608 binary64)))) (*.f64 x y) z)
z

soundness486.0ms (12%)

Rules

1010×	`fma-neg`
660×	`times-frac`
531×	`fma-define`
420×	`div-sub`
274×	`*-commutative`

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
0	305	5184
1	702	5066
2	2193	4958
3	6598	4958

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 186 to 82 computations (55.9% saved)

preprocess35.0ms (0.9%)

Compiler: Compiled 144 to 76 computations (47.2% saved)

analyze0.0ms (0%)

sample839.0ms (20.7%)

preprocess239.0ms (5.9%)

explain112.0ms (2.8%)

eval2.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.2%)

localize26.0ms (0.6%)

series10.0ms (0.3%)

rewrite228.0ms (5.6%)

simplify185.0ms (4.6%)

eval62.0ms (1.5%)

prune42.0ms (1%)

simplify266.0ms (6.6%)

localize68.0ms (1.7%)

series25.0ms (0.6%)

rewrite187.0ms (4.6%)

simplify237.0ms (5.9%)

eval57.0ms (1.4%)

prune57.0ms (1.4%)

simplify153.0ms (3.8%)

localize37.0ms (0.9%)

series15.0ms (0.4%)

rewrite128.0ms (3.2%)

simplify205.0ms (5.1%)

eval64.0ms (1.6%)

prune89.0ms (2.2%)

regimes17.0ms (0.4%)

regimes8.0ms (0.2%)

regimes2.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch29.0ms (0.7%)

bsearch29.0ms (0.7%)

bsearch83.0ms (2.1%)

simplify5.0ms (0.1%)

soundness486.0ms (12%)

preprocess35.0ms (0.9%)

end0.0ms (0%)

Profiling