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

analyze1.0ms (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)

sample3.4s (23.2%)

Results

2.3s	8254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-add: 561.0ms (45.9% of total)

ival-div: 350.0ms (28.7% of total)

ival-mult: 209.0ms (17.1% of total)

const: 97.0ms (7.9% of total)

backward-pass: 5.0ms (0.4% of total)

Bogosity

preprocess653.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 10 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

explain307.0ms (2.1%)

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

157.0ms

512×

valid

Compiler

Compiled 72 to 26 computations (63.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 31.0ms (53.2% of total)

ival-add: 19.0ms (32.6% of total)

ival-div: 7.0ms (12% of total)

const: 1.0ms (1.7% of total)

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

eval1.0ms (0%)

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

prune154.0ms (1.1%)

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)

localize144.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 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)))
✓	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)))

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

Results

93.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

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

ival-sub: 3.0ms (30.9% of total)

ival-mult: 3.0ms (30.9% of total)

ival-add: 2.0ms (20.6% of total)

const: 1.0ms (10.3% of total)

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

series31.0ms (0.2%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite5.9s (40.5%)

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

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 (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)
(+.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))

simplify500.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	5184
1	702	5066
2	2189	4958
3	6580	4958

Stop Event

1×	node limit

Counts

188 → 168

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)))))
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))))
#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))))
(+.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 (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)
(+.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))

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

eval88.0ms (0.6%)

Compiler: Compiled 2125 to 498 computations (76.6% saved)

prune84.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	165	3	168
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	4	169

Accuracy

100.0%

Counts

169 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
▶	74.2%	(+.f64 (*.f64 x y) z)
▶	65.7%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	39.9%	z

Compiler

Compiled 30 to 21 computations (30% saved)

localize121.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

4×	`fma-define`
2×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	21	81
2	23	81

Stop Event

1×

saturated

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

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

Results

80.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-mult: 6.0ms (52.8% of total)

ival-add: 4.0ms (35.2% of total)

const: 1.0ms (8.8% of total)

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

series42.0ms (0.3%)

Counts

4 → 72

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)>

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))))>

Calls

24 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(+ (* x 1/2) z)
2.0ms	x	@	-inf	(* x 1/2)
1.0ms	x	@	inf	(* x 1/2)
1.0ms	x	@	0	(* x y)
1.0ms	y	@	inf	(* x y)

rewrite350.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`log1p-expm1-u`
864×	`expm1-log1p-u`
436×	`fma-define`
425×	`log-prod`
221×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	169	56
2	2364	56

Stop Event

1×	node limit

Counts

4 → 156

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)

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

simplify477.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-define`
453×	`times-frac`
348×	`distribute-lft-in`
337×	`distribute-rgt-in`
278×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	5550
1	832	5454
2	2163	5348
3	7411	5348

Stop Event

1×	node limit

Counts

228 → 199

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

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

eval112.0ms (0.8%)

Compiler: Compiled 2124 to 494 computations (76.7% saved)

prune118.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	198	1	199
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	198	5	203

Accuracy

100.0%

Counts

203 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	74.2%	(+.f64 (*.f64 x y) z)
✓	65.7%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	36.8%	(*.f64 x y)
✓	39.9%	z

Compiler

Compiled 36 to 25 computations (30.6% saved)

localize108.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x y)
	accuracy	100.0%	(*.f64 x y)

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	9	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x y)
x
y

Outputs
(*.f64 x y)
x
y

Results

32.0ms

256×

valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

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

ival-mult: 4.0ms (88.4% of total)

const: 0.0ms (0% of total)

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

eval6.0ms (0%)

Compiler: Compiled 177 to 63 computations (64.4% saved)

prune21.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	22	5	27

Accuracy

100.0%

Counts

27 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	74.2%	(+.f64 (*.f64 x y) z)
✓	65.7%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	36.8%	(*.f64 x y)
✓	39.9%	z

Compiler

Compiled 69 to 42 computations (39.1% saved)

regimes71.0ms (0.5%)

Counts

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

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

Calls

5 calls:

36.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
17.0ms	x
6.0ms	y
5.0ms	z
5.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

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)

regimes29.0ms (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:

4.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
79.6%	3	`x`
99.4%	3	`y`
77.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

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:

3.0ms

Results

Accuracy	Segments	Branch
85.6%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes25.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

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

Calls

3 calls:

19.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
56.9%	3	`z`
58.3%	3	`x`
60.1%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
39.9%	1	`z`
39.9%	1	`x`
39.9%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch136.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	1.1916814189160442e-15	3.947525306586353e-7
68.0ms	-262781872957280.34	-3.416059457245307e-10

Results

62.0ms

320×

valid

Compiler

Compiled 378 to 273 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 25.0ms (72.1% of total)

ival-mult: 5.0ms (14.4% of total)

ival-div: 4.0ms (11.5% of total)

const: 1.0ms (2.9% of total)

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

bsearch100.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
73.0ms	7.543592327954764e+43	1.154388030503675e+50
23.0ms	-2.292602930142701e+30	-1.5791794371429687e+29

Results

45.0ms

240×

valid

Compiler

Compiled 258 to 193 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 17.0ms (70.1% of total)

ival-add: 4.0ms (16.5% of total)

ival-div: 3.0ms (12.4% of total)

const: 1.0ms (4.1% of total)

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

bsearch99.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
54.0ms	7.543592327954764e+43	1.154388030503675e+50
41.0ms	-2.292602930142701e+30	-1.5791794371429687e+29

Results

37.0ms

240×

valid

Compiler

Compiled 198 to 148 computations (25.3% saved)

Precisions

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

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

ival-div: 3.0ms (28.3% of total)

ival-mult: 3.0ms (28.3% of total)

const: 1.0ms (9.4% of total)

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

simplify26.0ms (0.2%)

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	38	215
1	58	215
2	63	215
3	65	215
4	66	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 7366891713276647/18889465931478580854784 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -159999999999999993329915789312 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (<=.f64 y #s(literal -284999999999999995815493894144 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 3200000000000000282283564969805524502459711488 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 7366891713276647/18889465931478580854784 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 7366891713276647/18889465931478580854784 binary64)))) (+.f64 z (.f64 x y)) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -159999999999999993329915789312 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (or (<=.f64 y #s(literal -159999999999999993329915789312 binary64)) (not (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)))) (.f64 x y) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -284999999999999995815493894144 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 3200000000000000282283564969805524502459711488 binary64)) z (.f64 x y)))
(if (or (<=.f64 y #s(literal -284999999999999995815493894144 binary64)) (not (<=.f64 y #s(literal 3200000000000000282283564969805524502459711488 binary64)))) (*.f64 x y) z)
z

soundness1.3s (8.9%)

Rules

1010×	`fma-neg`
660×	`times-frac`
531×	`fma-define`
415×	`div-sub`
278×	`*-commutative`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	305	5184
1	702	5066
2	2189	4958
3	6580	4958
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×	done
1×	saturated
1×	node limit

Compiler

Compiled 186 to 84 computations (54.8% saved)

preprocess202.0ms (1.4%)

Compiler: Compiled 144 to 80 computations (44.4% saved)

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

analyze1.0ms (0%)

sample3.4s (23.2%)

preprocess653.0ms (4.5%)

explain307.0ms (2.1%)

eval1.0ms (0%)

prune154.0ms (1.1%)

localize144.0ms (1%)

series31.0ms (0.2%)

rewrite5.9s (40.5%)

simplify500.0ms (3.4%)

eval88.0ms (0.6%)

prune84.0ms (0.6%)

localize121.0ms (0.8%)

series42.0ms (0.3%)

rewrite350.0ms (2.4%)

simplify477.0ms (3.3%)

eval112.0ms (0.8%)

prune118.0ms (0.8%)

localize108.0ms (0.7%)

eval6.0ms (0%)

prune21.0ms (0.1%)

regimes71.0ms (0.5%)

regimes29.0ms (0.2%)

regimes3.0ms (0%)

regimes25.0ms (0.2%)

regimes7.0ms (0%)

bsearch136.0ms (0.9%)

bsearch100.0ms (0.7%)

bsearch99.0ms (0.7%)

simplify26.0ms (0.2%)

soundness1.3s (8.9%)

preprocess202.0ms (1.4%)

end0.0ms (0%)

Profiling