Metrics for Data.Histogram.Bin.LogBinD:$cbinSizeN 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 8 to 5 computations (37.5% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

sample880.0ms (36.9%)

Results

559.0ms	7231×	0	valid
64.0ms	1025×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 105.0ms (64.6% of total)

ival-sub: 46.0ms (28.3% of total)

const: 8.0ms (4.9% of total)

backward-pass: 4.0ms (2.5% of total)

Bogosity

preprocess104.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

200×	`fma-neg`
175×	`fma-define`
41×	`unsub-neg`
31×	`distribute-lft-neg-in`
31×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	174
1	47	148
2	121	136
3	321	132
4	639	132
5	867	132
6	970	132
7	978	132

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 (neg.f64 x) y) (neg.f64 x))
(-.f64 (*.f64 x (neg.f64 y)) x)
(neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)))
(neg.f64 (-.f64 (*.f64 x (neg.f64 y)) x))
(-.f64 (*.f64 y x) y)

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

Symmetry

(negabs x)

explain121.0ms (5.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`(-.f64 (*.f64 x y) x)`
-	-	`y`

Results

98.0ms	458×	256	valid
4.0ms	54×	256	infinite

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

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

ival-mult: 6.0ms (63.4% of total)

ival-sub: 3.0ms (31.7% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x y) x)

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize27.0ms (1.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)

Results

20.0ms	229×	256	valid
2.0ms	27×	256	infinite

Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions

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

ival-sub: 3.0ms (40.7% of total)

const: 3.0ms (40.7% of total)

ival-mult: 2.0ms (27.1% of total)

series4.0ms (0.2%)

Counts

1 → 21

Calls

Call 1

Inputs
#<alt (-.f64 (*.f64 x y) x)>

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

Calls

6 calls:

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

rewrite251.0ms (10.5%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`prod-diff`
489×	`log1p-expm1-u`
489×	`expm1-log1p-u`
457×	`unpow-prod-down`
408×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	99	19
2	1339	19

Stop Event

1×	node limit

Counts

1 → 122

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) x)

Outputs
(+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x))
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(+.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(+.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) x))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (*.f64 x y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))))
(/.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (neg.f64 (.f64 x (+.f64 y #s(literal 1 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(log.f64 (exp.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y (-.f64 #s(literal 0 binary64) x))
(fma.f64 x y (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
(fma.f64 y x (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) x))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 (.f64 x y) (.f64 x y))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 (.f64 x y) (.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x y) (.f64 x y))) (cbrt.f64 (.f64 x y)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x y) (.f64 x y))) (cbrt.f64 (.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 x)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64)))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x y))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) x (*.f64 x y))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 x y))
(fma.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 x (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 y (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))

simplify116.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

694×	`exp-prod`
406×	`*-commutative`
353×	`fma-neg`
218×	`distribute-lft-neg-in`
210×	`associate-/l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	257	4932
1	654	4672
2	2331	4400
3	7238	4331

Stop Event

1×	node limit

Counts

143 → 144

Calls

Call 1

Inputs
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x))
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(+.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(+.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) x))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (*.f64 x y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
(.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))))
(/.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (neg.f64 (.f64 x (+.f64 y #s(literal 1 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(log.f64 (exp.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y (-.f64 #s(literal 0 binary64) x))
(fma.f64 x y (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
(fma.f64 y x (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) x))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 (.f64 x y) (.f64 x y))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 (.f64 x y) (.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x y) (.f64 x y))) (cbrt.f64 (.f64 x y)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x y) (.f64 x y))) (cbrt.f64 (.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 x)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64)))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x y))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) x (*.f64 x y))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (+.f64 (.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x))) x))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 x y))
(fma.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 x (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 y (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))

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

eval90.0ms (3.8%)

Compiler: Compiled 4603 to 2527 computations (45.1% saved)

prune21.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	284	3	287
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	284	4	288

Accuracy

100.0%

Counts

288 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
▶	100.0%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶	49.1%	(*.f64 x y)
▶	51.9%	(neg.f64 x)

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize151.0ms (6.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 y #s(literal 1 binary64)))

Results

141.0ms

256×

256

valid

Compiler

Compiled 22 to 11 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-sub: 115.0ms (95.3% of total)

ival-mult: 4.0ms (3.3% of total)

const: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

series3.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite111.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`log1p-expm1-u`
432×	`expm1-log1p-u`
412×	`add-exp-log`
396×	`add-log-exp`
384×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	104	19
2	1234	19

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(*.f64 x (-.f64 y #s(literal 1 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 (.f64 x y) (.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 y x) (.f64 #s(literal -1 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (.f64 x (-.f64 y #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (log.f64 (E.f64)))
(.f64 (cbrt.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (-.f64 y #s(literal 1 binary64))) x))
(.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 x (cbrt.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x)) (cbrt.f64 (-.f64 y #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(/.f64 (.f64 x (-.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64))) (+.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64)) x) (+.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (pow.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(log.f64 (exp.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 x #s(literal -1 binary64)))
(fma.f64 y x (*.f64 #s(literal -1 binary64) x))

simplify114.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

588×	`times-frac`
437×	`distribute-lft-in`
399×	`distribute-rgt-in`
361×	`unswap-sqr`
326×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	2190
1	327	2040
2	895	1986
3	3645	1926
4	6397	1926

Stop Event

1×	node limit

Counts

69 → 75

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 (.f64 x y) (.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 y x) (.f64 #s(literal -1 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (.f64 x (-.f64 y #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (log.f64 (E.f64)))
(.f64 (cbrt.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (-.f64 y #s(literal 1 binary64))) x))
(.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 x (cbrt.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x)) (cbrt.f64 (-.f64 y #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(/.f64 (.f64 x (-.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64))) (+.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64)) x) (+.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (pow.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(log.f64 (exp.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 x #s(literal -1 binary64)))
(fma.f64 y x (*.f64 #s(literal -1 binary64) x))

Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(-.f64 (*.f64 x y) x)
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(-.f64 (*.f64 x y) x)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(-.f64 (*.f64 x y) x)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(-.f64 (*.f64 x y) x)
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(-.f64 (*.f64 x y) x)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(-.f64 (*.f64 x y) x)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(-.f64 (*.f64 x y) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 x y) (.f64 x #s(literal -1 binary64)))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 x y) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (.f64 x (-.f64 y #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x y) x)))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 y) (E.f64)) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 y) (E.f64)) x))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (*.f64 x y) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 (*.f64 x y) x)
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (*.f64 x y) x)
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (log.f64 (E.f64)))
(-.f64 (*.f64 x y) x)
(.f64 (cbrt.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (-.f64 y #s(literal 1 binary64))) x))
(.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (.f64 x (cbrt.f64 (+.f64 #s(literal -1 binary64) y))))
(.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(-.f64 (*.f64 x y) x)
(.f64 (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(-.f64 (*.f64 x y) x)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 y #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal -1 binary64) y) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(-.f64 (*.f64 x y) x)
(.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x y) x)
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (-.f64 y #s(literal 1 binary64))))
(-.f64 (*.f64 x y) x)
(.f64 (.f64 x (cbrt.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))) (cbrt.f64 (-.f64 y #s(literal 1 binary64))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (.f64 x (cbrt.f64 (+.f64 #s(literal -1 binary64) y))))
(.f64 (.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x y) x)
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (+.f64 #s(literal -1 binary64) y) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(-.f64 (*.f64 x y) x)
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (*.f64 x y) x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(-.f64 (*.f64 x y) x)
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (*.f64 x y) x)
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 y #s(literal 1 binary64))))
(.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) y)) (cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x y) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x y) x))))
(.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x y) x))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) #s(literal 5/2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/2 binary64))))
(-.f64 (*.f64 x y) x)
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x)) (cbrt.f64 (-.f64 y #s(literal 1 binary64))))
(.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) y)) (cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 y #s(literal 1 binary64))))))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x y) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x y) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x y) x))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) #s(literal 5/2 binary64))))
(/.f64 (.f64 x (-.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64))) (+.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (neg.f64 x)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(/.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64)) x) (+.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (neg.f64 x)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (*.f64 x y) x)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(-.f64 (*.f64 x y) x)
(pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 (*.f64 x y) x)
(pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 x y) x)
(pow.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 (*.f64 x y) x)
(pow.f64 (E.f64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(-.f64 (*.f64 x y) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (.f64 x y) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (.f64 x y) x))))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (pow.f64 (log.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (.f64 x y) x)))) (sqrt.f64 (log.f64 (-.f64 (.f64 x y) x))))
(sqrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(-.f64 (*.f64 x y) x)
(log.f64 (exp.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(-.f64 (*.f64 x y) x)
(cbrt.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(-.f64 (*.f64 x y) x)
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(-.f64 (*.f64 x y) x)
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(-.f64 (*.f64 x y) x)
(exp.f64 (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(-.f64 (*.f64 x y) x)
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(-.f64 (*.f64 x y) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(-.f64 (*.f64 x y) x)
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)))
(-.f64 (*.f64 x y) x)
(fma.f64 x y (*.f64 x #s(literal -1 binary64)))
(-.f64 (*.f64 x y) x)
(fma.f64 y x (*.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 x y) x)

eval43.0ms (1.8%)

Compiler: Compiled 1908 to 1248 computations (34.6% saved)

prune14.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	144	4	148

Accuracy

100.0%

Counts

148 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
✓	100.0%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	49.1%	(*.f64 x y)
✓	51.9%	(neg.f64 x)

Compiler

Compiled 40 to 23 computations (42.5% saved)

regimes9.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)

Outputs
(*.f64 x (-.f64 y #s(literal 1 binary64)))

Calls

3 calls:

5.0ms	x
2.0ms	y
2.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (*.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x y)

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
63.9%	7	`x`
96.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

2 calls:

1.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
51.9%	1	`x`
51.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.4162801385788132	19.94951920947807
11.0ms	-12.455502905613207	-0.8977210941044823

Results

18.0ms

208×

valid

Compiler

Compiled 155 to 112 computations (27.7% saved)

Precisions

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

ival-sub: 3.0ms (59.3% of total)

ival-mult: 2.0ms (39.5% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
3×	`sub-neg`
3×	`1-exp`
3×	`+-commutative`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	79
1	37	79
2	42	79
3	48	79

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (neg.f64 x) (.f64 x y)))
(neg.f64 x)

Outputs
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (neg.f64 x) (.f64 x y)))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 x y) (neg.f64 x))
(neg.f64 x)

soundness258.0ms (10.8%)

Rules

694×	`exp-prod`
406×	`*-commutative`
353×	`fma-neg`
218×	`distribute-lft-neg-in`
210×	`associate-/l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	257	4932
1	654	4672
2	2331	4400
3	7238	4331

Stop Event

1×	done
1×	node limit

Compiler

Compiled 30 to 19 computations (36.7% saved)

preprocess31.0ms (1.3%)

Remove: (negabs x)
Compiler: Compiled 88 to 56 computations (36.4% saved)

Data.Histogram.Bin.LogBinD:$cbinSizeN from histogram-fill-0.8.4.1

analyze0.0ms (0%)

sample880.0ms (36.9%)

preprocess104.0ms (4.3%)

explain121.0ms (5.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize27.0ms (1.1%)

series4.0ms (0.2%)

rewrite251.0ms (10.5%)

simplify116.0ms (4.9%)

eval90.0ms (3.8%)

prune21.0ms (0.9%)

localize151.0ms (6.3%)

series3.0ms (0.1%)

rewrite111.0ms (4.6%)

simplify114.0ms (4.8%)

eval43.0ms (1.8%)

prune14.0ms (0.6%)

regimes9.0ms (0.4%)

regimes7.0ms (0.3%)

regimes1.0ms (0.1%)

bsearch26.0ms (1.1%)

simplify3.0ms (0.1%)

soundness258.0ms (10.8%)

preprocess31.0ms (1.3%)

end0.0ms (0%)

Profiling