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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample720.0ms (11.3%)

Results

478.0ms	8248×	0	valid
1.0ms	5×	1	valid
1.0ms	3×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-add: 90.0ms (38.7% of total)

ival-div: 67.0ms (28.8% of total)

ival-mult: 62.0ms (26.7% of total)

const: 11.0ms (4.7% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess205.0ms (3.2%)

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)

explain94.0ms (1.5%)

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

50.0ms

512×

valid

Compiler

Compiled 72 to 38 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 11.0ms (41.7% of total)

ival-div: 10.0ms (37.9% of total)

ival-mult: 4.0ms (15.2% of total)

const: 1.0ms (3.8% of total)

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

eval1.0ms (0%)

Compiler: Compiled 33 to 19 computations (42.4% saved)

prune7.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize141.0ms (2.2%)

Algorithm

3×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
✓	cost-diff	-6272	(+.f64 (*.f64 x y) z)
✓	cost-diff	-6272	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	-6272	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	cost-diff	0	(-.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(+.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(-.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	accuracy	100.0%	(*.f64 x (-.f64 y #s(literal -1/2 binary64)))

Rules

14×	`fma-define`
13×	`fma-define`
6×	`+-commutative`
6×	`fma-define`
6×	`+-commutative`

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
0	14	87
1	21	87
2	29	87
3	35	87
0	13	47
1	16	47
2	26	47
3	51	47
4	61	47

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

47.0ms

256×

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 6.0ms (23.7% of total)

ival-mult: 5.0ms (19.7% of total)

ival-fma: 5.0ms (19.7% of total)

ival-sub: 4.0ms (15.8% of total)

ival-div: 3.0ms (11.8% of total)

const: 1.0ms (3.9% of total)

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

series24.0ms (0.4%)

Counts

9 → 204

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

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

Calls

57 calls:

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

rewrite338.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

9 → 375

Calls

Call 1

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

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

simplify454.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

579×	`fma-neg`
437×	`distribute-lft-neg-in`
404×	`distribute-rgt-neg-in`
245×	`fma-define`
215×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	569	23557
1	1378	22722
2	4283	22149

Stop Event

1×	node limit

Counts

579 → 311

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

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

eval73.0ms (1.1%)

Compiler: Compiled 5019 to 2759 computations (45% saved)

prune57.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	307	4	311
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	308	6	314

Accuracy

100.0%

Counts

314 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
▶	71.9%	(+.f64 (*.f64 x y) z)
▶	66.3%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	88.7%	(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
▶	38.9%	z

Compiler

Compiled 54 to 37 computations (31.5% saved)

localize418.0ms (6.5%)

Algorithm

4×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	-6272	(+.f64 (*.f64 x y) z)
	cost-diff	0	(*.f64 x y)
✓	cost-diff	-6272	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	-6144	(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))
	accuracy	100.0%	(*.f64 x y)
	accuracy	100.0%	(+.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) y)
✓	accuracy	88.7%	(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))

Rules

1050×	`cube-prod`
1042×	`fma-define`
750×	`swap-sqr`
452×	`cube-div`
398×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
0	14	101
1	25	101
2	54	101
3	99	94
4	122	88
5	146	88
6	171	88
7	260	88
8	801	88
9	2036	88
10	3041	88
11	3762	88
12	4902	88
13	6014	88
14	6342	88
15	6430	88
16	6500	88
17	6578	88
18	6665	88
19	7684	88
0	10	34
1	14	34
2	15	34
0	11	43
1	15	43
2	16	43

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z

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

Call 2

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

Outputs
(+.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

Call 3

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

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

Call 4

Inputs
z

Outputs
z

Results

150.0ms

256×

valid

Compiler

Compiled 53 to 23 computations (56.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 85.0ms (87.1% of total)

ival-add: 9.0ms (9.2% of total)

ival-div: 2.0ms (2% of total)

const: 1.0ms (1% of total)

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

series13.0ms (0.2%)

Counts

6 → 117

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x (+ (+ 1/2 y) (/ z x)))
1.0ms	x	@	0	(* x (+ (+ 1/2 y) (/ z x)))
0.0ms	y	@	0	(* x (+ (+ 1/2 y) (/ z x)))
0.0ms	x	@	inf	(* x (+ (+ 1/2 y) (/ z x)))
0.0ms	z	@	inf	(* x (+ (+ 1/2 y) (/ z x)))

rewrite201.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`log1p-expm1-u`
895×	`expm1-log1p-u`
632×	`fma-define`
293×	`fma-neg`
212×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	113
1	236	113
2	3786	113

Stop Event

1×	node limit

Counts

6 → 285

Calls

Call 1

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

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

simplify264.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

480×	`fma-neg`
367×	`distribute-rgt-neg-in`
365×	`distribute-lft-neg-in`
269×	`associate-r`
259×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	642	13314
1	1544	12013
2	4909	11424

Stop Event

1×	node limit

Counts

402 → 399

Calls

Call 1

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

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

eval123.0ms (1.9%)

Compiler: Compiled 6709 to 3531 computations (47.4% saved)

prune256.0ms (4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	459	3	462
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	460	8	468

Accuracy

100.0%

Counts

468 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	71.9%	(+.f64 (*.f64 x y) z)
✓	66.3%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	62.7%	(*.f64 y (+.f64 x (/.f64 z y)))
▶	62.2%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
▶	34.9%	(*.f64 x y)
✓	38.9%	z

Compiler

Compiled 66 to 45 computations (31.8% saved)

localize619.0ms (9.7%)

Algorithm

3×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(*.f64 y (+.f64 x (/.f64 z y)))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(+.f64 x (/.f64 z y))
	cost-diff	0	(+.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
	cost-diff	0	(*.f64 x y)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(+.f64 x (/.f64 z y))
✓	accuracy	88.6%	(*.f64 y (+.f64 x (/.f64 z y)))
	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
	accuracy	100.0%	(*.f64 x y)

Rules

1744×	`cube-prod`
807×	`swap-sqr`
794×	`cube-div`
517×	`pow-sqr`
389×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	9	21
0	10	38
1	18	38
2	24	38
3	26	38
0	12	78
1	20	78
2	30	78
3	34	71
4	37	65
5	48	65
6	73	65
7	150	65
8	646	65
9	1753	65
10	2578	65
11	3043	65
12	3700	65
13	4633	65
14	4961	65
15	5051	65
16	5121	65
17	5199	65
18	5369	65
19	6464	65
20	6973	65
21	7076	65
22	7154	65
23	7227	65
24	7300	65
25	7375	65
26	7462	65
27	7549	65
28	7636	65
29	7723	65

Stop Event

1×	node limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(*.f64 y (+.f64 x (/.f64 z y)))
y
(+.f64 x (/.f64 z y))
x
(/.f64 z y)
z

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

Call 2

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

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

Call 3

Inputs
(*.f64 x y)
x
y

Outputs
(*.f64 x y)
x
y

Results

129.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 6.0ms (47.7% of total)

ival-add: 4.0ms (31.8% of total)

ival-div: 2.0ms (15.9% of total)

const: 1.0ms (8% of total)

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

series47.0ms (0.7%)

Counts

4 → 69

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
38.0ms	y	@	-inf	(* y (+ x (/ z y)))
1.0ms	z	@	inf	(* y (+ x (/ z y)))
0.0ms	x	@	0	(* y (+ x (/ z y)))
0.0ms	y	@	0	(* y (+ x (/ z y)))
0.0ms	z	@	-inf	(/ z y)

rewrite135.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`log1p-expm1-u`
712×	`expm1-log1p-u`
554×	`log-prod`
350×	`fma-define`
182×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	85
1	206	85
2	3132	85

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

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

simplify126.0ms (2%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-*r/`
349×	`cancel-sign-sub-inv`
306×	`distribute-rgt-neg-in`
298×	`distribute-lft-neg-in`
272×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	494	7959
1	1140	7429
2	3547	7078

Stop Event

1×	node limit

Counts

280 → 269

Calls

Call 1

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

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

eval69.0ms (1.1%)

Compiler: Compiled 3993 to 1771 computations (55.6% saved)

prune220.0ms (3.4%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	325	2	327
Fresh	0	0	0
Picked	0	3	3
Done	1	4	5
Total	326	9	335

Accuracy

100.0%

Counts

335 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
▶	62.2%	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
✓	71.9%	(+.f64 (*.f64 x y) z)
✓	66.3%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	62.7%	(*.f64 y (+.f64 x (/.f64 z y)))
✓	62.2%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	34.9%	(*.f64 x y)
▶	29.3%	(*.f64 x #s(literal 1/2 binary64))
✓	38.9%	z

Compiler

Compiled 70 to 49 computations (30% saved)

localize79.0ms (1.2%)

Algorithm

2×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
	accuracy	100.0%	(*.f64 x y)
	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	8	15
0	11	51
1	18	51
2	24	51

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Results

57.0ms

256×

valid

Compiler

Compiled 25 to 14 computations (44% saved)

Precisions

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

ival-mult: 7.0ms (77% of total)

ival-add: 1.0ms (11% of total)

const: 1.0ms (11% of total)

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

series2.0ms (0%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite176.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

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

simplify168.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

106 → 102

Calls

Call 1

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

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

eval83.0ms (1.3%)

Compiler: Compiled 1731 to 1097 computations (36.6% saved)

prune77.0ms (1.2%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	147	9	156

Accuracy

100.0%

Counts

156 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	62.2%	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
✓	71.9%	(+.f64 (*.f64 x y) z)
✓	66.3%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	62.7%	(*.f64 y (+.f64 x (/.f64 z y)))
✓	62.2%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	34.9%	(*.f64 x y)
✓	29.3%	(*.f64 x #s(literal 1/2 binary64))
✓	38.9%	z

Compiler

Compiled 149 to 88 computations (40.9% saved)

regimes22.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
4.0ms	(+.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)

regimes11.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	z
3.0ms	y

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes25.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
7.0ms	y
7.0ms	z

Results

Accuracy	Segments	Branch
86.6%	4	`x`
98.6%	3	`y`
88.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
82.4%	3	`z`
87.7%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes28.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	z
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
79.3%	5	`z`
76.7%	3	`x`
72.2%	7	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.3%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	y
5.0ms	z

Results

Accuracy	Segments	Branch
70.4%	7	`y`
58.4%	4	`z`
59.2%	6	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
55.6%	3	`z`
48.9%	5	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

0.0ms	z
0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
38.9%	1	`y`
38.9%	1	`x`
38.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch24.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.04004163806654263	56.015723492695905
9.0ms	-49342883.86086697	-3894875.792326833

Results

13.0ms

224×

valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

Precisions

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

ival-div: 2.0ms (34.4% of total)

ival-add: 2.0ms (34.4% of total)

ival-mult: 2.0ms (34.4% of total)

const: 0.0ms (0% of total)

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

bsearch48.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.116107749667494e+28	9.645613027641383e+28
41.0ms	-49342883.86086697	-3894875.792326833

Results

38.0ms

160×

valid

Compiler

Compiled 190 to 145 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (48.5% of total)

ival-div: 1.0ms (24.2% of total)

ival-mult: 1.0ms (24.2% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.663865533426925e-134	2.7672495518751824e-126
23.0ms	-1.9026435760251102e-51	-1.4971735120681508e-52

Results

27.0ms

240×

valid

Compiler

Compiled 228 to 178 computations (21.9% saved)

Precisions

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

ival-add: 16.0ms (79.1% of total)

ival-div: 2.0ms (9.9% of total)

ival-mult: 2.0ms (9.9% of total)

const: 0.0ms (0% of total)

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

bsearch171.0ms (2.7%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	204.67972937771933	27236763443200766000.0
11.0ms	2.0575002628888504e-221	5.5897735712830924e-217
112.0ms	-3.6362669392794483e-210	-5.816484527632069e-211
10.0ms	-3.05313758059646e-161	-5.0204253092293574e-163
10.0ms	-7.688878234402206e-7	-1.1175450593474017e-7
8.0ms	-49342883.86086697	-3894875.792326833

Results

144.0ms

688×

valid

Compiler

Compiled 534 to 427 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-add: 111.0ms (91.2% of total)

ival-div: 5.0ms (4.1% of total)

ival-mult: 5.0ms (4.1% of total)

const: 1.0ms (0.8% of total)

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

bsearch29.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.254178338823833e-32	6.16700168937612e-24
11.0ms	-4.969353268868003e-21	-8.56175089457979e-26

Results

15.0ms	271×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 222 to 183 computations (17.6% saved)

Precisions

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

ival-add: 3.0ms (41.7% of total)

ival-div: 2.0ms (27.8% of total)

ival-mult: 2.0ms (27.8% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	442
1	94	442
2	99	442
3	101	442
4	102	442

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(if (<=.f64 y #s(literal -4000000 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -40000000 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 62000000000000001373584228352 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (<=.f64 x #s(literal -2561194933379311/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 781199283221165/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) z (.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 y #s(literal -46000000 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -2115620184325601/18889465931478580854784 binary64)) z (if (<=.f64 y #s(literal -785125626436223/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal -7580654747562055/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248 binary64)) z (if (<=.f64 y #s(literal 943931000118831/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 1050000 binary64)) z (.f64 x y)))))))
(if (<=.f64 z #s(literal -2858371882135883/680564733841876926926749214863536422912 binary64)) z (if (<=.f64 z #s(literal 6620533730813779/174224571863520493293247799005065324265472 binary64)) (*.f64 x #s(literal 1/2 binary64)) z))
z

Outputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) z)
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(+.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -4000000 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 y #s(literal -4000000 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) (+.f64 z (.f64 x y)) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -40000000 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 62000000000000001373584228352 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (<=.f64 y #s(literal -40000000 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 62000000000000001373584228352 binary64)) (+.f64 z (.f64 x #s(literal 1/2 binary64))) (*.f64 x y)))
(if (<=.f64 x #s(literal -2561194933379311/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 781199283221165/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) z (.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(if (or (<=.f64 x #s(literal -2561194933379311/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (not (<=.f64 x #s(literal 781199283221165/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(if (<=.f64 y #s(literal -46000000 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -2115620184325601/18889465931478580854784 binary64)) z (if (<=.f64 y #s(literal -785125626436223/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal -7580654747562055/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248 binary64)) z (if (<=.f64 y #s(literal 943931000118831/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 1050000 binary64)) z (.f64 x y)))))))
(if (<=.f64 z #s(literal -2858371882135883/680564733841876926926749214863536422912 binary64)) z (if (<=.f64 z #s(literal 6620533730813779/174224571863520493293247799005065324265472 binary64)) (*.f64 x #s(literal 1/2 binary64)) z))
z

soundness687.0ms (10.8%)

Rules

1010×	`fma-neg`
579×	`fma-neg`
531×	`fma-define`
437×	`distribute-lft-neg-in`
404×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	569	23557
1	1378	22722
2	4283	22149
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 274 to 158 computations (42.3% saved)

preprocess57.0ms (0.9%)

Compiler: Compiled 278 to 166 computations (40.3% saved)

Iter	Nodes	Cost
0	13	66
1	21	66
2	29	66
3	46	66
4	58	66
5	62	66
0	14	87
1	21	87
2	29	87
3	35	87
0	13	47
1	16	47
2	26	47
3	51	47
4	61	47

Iter	Nodes	Cost
0	13	66
1	21	66
2	29	66
3	46	66
4	58	66
5	62	66
0	14	87
1	21	87
2	29	87
3	35	87
0	13	47
1	16	47
2	26	47
3	51	47
4	61	47

analyze0.0ms (0%)

sample720.0ms (11.3%)

preprocess205.0ms (3.2%)

explain94.0ms (1.5%)

eval1.0ms (0%)

prune7.0ms (0.1%)

localize141.0ms (2.2%)

series24.0ms (0.4%)

rewrite338.0ms (5.3%)

simplify454.0ms (7.1%)

eval73.0ms (1.1%)

prune57.0ms (0.9%)

localize418.0ms (6.5%)

series13.0ms (0.2%)

rewrite201.0ms (3.2%)

simplify264.0ms (4.1%)

eval123.0ms (1.9%)

prune256.0ms (4%)

localize619.0ms (9.7%)

series47.0ms (0.7%)

rewrite135.0ms (2.1%)

simplify126.0ms (2%)

eval69.0ms (1.1%)

prune220.0ms (3.4%)

localize79.0ms (1.2%)

series2.0ms (0%)

rewrite176.0ms (2.8%)

simplify168.0ms (2.6%)

eval83.0ms (1.3%)

prune77.0ms (1.2%)

regimes22.0ms (0.3%)

regimes11.0ms (0.2%)

regimes25.0ms (0.4%)

regimes14.0ms (0.2%)

regimes28.0ms (0.4%)

regimes19.0ms (0.3%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

bsearch24.0ms (0.4%)

bsearch48.0ms (0.8%)

bsearch40.0ms (0.6%)

bsearch171.0ms (2.7%)

bsearch29.0ms (0.5%)

simplify9.0ms (0.1%)

soundness687.0ms (10.8%)

preprocess57.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	66
1	21	66
2	29	66
3	46	66
4	58	66
5	62	66
0	14	87
1	21	87
2	29	87
3	35	87
0	13	47
1	16	47
2	26	47
3	51	47
4	61	47