Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A

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 10 to 6 computations (40% saved)

Precisions

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

ival-sub: 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)

sample890.0ms (37.6%)

Results

594.0ms	7185×	0	valid
76.0ms	1069×	0	infinite
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-mult: 123.0ms (46.7% of total)

ival-add: 78.0ms (29.6% of total)

ival-sub: 51.0ms (19.4% of total)

const: 8.0ms (3% of total)

backward-pass: 4.0ms (1.5% of total)

Bogosity

preprocess94.0ms (4%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg`
535×	`fma-define`
118×	`cancel-sign-sub-inv`
69×	`distribute-lft-neg-in`
66×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	241
1	68	217
2	180	191
3	548	174
4	1346	168
5	2190	168
6	2435	168
7	2442	168

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain71.0ms (3%)

FPErrors

Click to see full error table

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

Results

45.0ms	448×	256	valid
5.0ms	64×	256	infinite

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

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

ival-add: 4.0ms (37.1% of total)

ival-mult: 4.0ms (37.1% of total)

ival-sub: 3.0ms (27.8% of total)

const: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 22 to 12 computations (45.5% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

localize57.0ms (2.4%)

Localize:

Found 2 expressions with local error:

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

Results

30.0ms	224×	256	valid
4.0ms	32×	256	infinite

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

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

ival-sub: 6.0ms (40.9% of total)

ival-mult: 6.0ms (40.9% of total)

ival-add: 3.0ms (20.4% of total)

const: 1.0ms (6.8% of total)

series7.0ms (0.3%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite324.0ms (13.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`log1p-expm1-u`
1038×	`expm1-log1p-u`
549×	`fma-define`
232×	`fma-neg`
165×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	187	47
2	2786	43

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

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

simplify153.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

598×	`distribute-lft-in`
552×	`distribute-rgt-in`
346×	`times-frac`
272×	`cancel-sign-sub-inv`
270×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	7285
1	842	6614
2	2415	6531

Stop Event

1×	node limit

Counts

197 → 201

Calls

Call 1

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

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

eval57.0ms (2.4%)

Compiler: Compiled 2925 to 1300 computations (55.6% saved)

prune28.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	198	5	203

Accuracy

100.0%

Counts

203 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))
✓	100.0%	(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
▶	76.6%	(+.f64 y x)
▶	60.2%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
▶	38.3%	y

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize36.0ms (1.5%)

Localize:

Found 1 expressions with local error:

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

Results

27.0ms

256×

256

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

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

ival-sub: 3.0ms (41.3% of total)

ival-mult: 2.0ms (27.6% of total)

ival-add: 1.0ms (13.8% of total)

const: 1.0ms (13.8% of total)

series3.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite70.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

452×	`log1p-expm1-u`
452×	`expm1-log1p-u`
433×	`add-exp-log`
416×	`add-log-exp`
386×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	103	19
2	1213	19

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

simplify78.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

388×	`unsub-neg`
326×	`exp-prod`
310×	`associate-+l+`
299×	`associate-+r+`
298×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	1336
1	225	1184
2	483	1184
3	2032	1184
4	5551	1184

Stop Event

1×	node limit

Counts

49 → 49

Calls

Call 1

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

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

eval19.0ms (0.8%)

Compiler: Compiled 451 to 273 computations (39.5% saved)

prune10.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	48	6	54

Accuracy

100.0%

Counts

54 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))
✓	100.0%	(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	76.6%	(+.f64 y x)
✓	60.2%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
▶	24.4%	(*.f64 y (neg.f64 x))
✓	38.3%	y

Compiler

Compiled 39 to 25 computations (35.9% saved)

localize25.0ms (1.1%)

Results

17.0ms	224×	256	valid
2.0ms	32×	256	infinite

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

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

ival-neg: 3.0ms (58.3% of total)

ival-mult: 2.0ms (38.9% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	5	5
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))
✓	100.0%	(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	76.6%	(+.f64 y x)
✓	60.2%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓	24.4%	(*.f64 y (neg.f64 x))
✓	38.3%	y

Compiler

Compiled 68 to 40 computations (41.2% saved)

regimes32.0ms (1.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes11.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
85.4%	4	`x`
98.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.4%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
85.0%	4	`x`
84.5%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
76.6%	1	`y`
76.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
38.3%	1	`y`
38.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch34.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.613211278653976e-7	12228.722143524586
15.0ms	-225.98246243328643	-0.00040089607861194636

Results

21.0ms

304×

valid

Compiler

Compiled 271 to 190 computations (29.9% saved)

Precisions

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

ival-mult: 3.0ms (46% of total)

ival-sub: 2.0ms (30.7% of total)

ival-add: 2.0ms (30.7% of total)

const: 0.0ms (0% of total)

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

bsearch42.0ms (1.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	2.2396317874825705e-5	147336252.723899
10.0ms	-2.448539532242894e+244	-4.77833084405188e+243
12.0ms	-7.206905850193014e+296	-2.258018494143274e+296

Results

19.0ms	254×	0	valid
10.0ms	82×	0	infinite

Compiler

Compiled 287 to 198 computations (31% saved)

Precisions

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

ival-mult: 3.0ms (40.9% of total)

ival-sub: 2.0ms (27.3% of total)

ival-add: 2.0ms (27.3% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
7×	`+-commutative`
5×	`sub-neg`
4×	`not-or`
4×	`if-if-or-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	204
1	57	198
2	71	198
3	80	194
4	83	194
5	84	194

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -225 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -619999999999999970284118315719574799527903410259972720551308607130174550992676472532535233957944533503173585649840823521882805691592720469114013997374831815624969480911702043655550801215386394486815339194464164524683970418193504341559307600012459655060622321968378016430242924180485410361410846720 binary64)) (+.f64 y x) (if (<=.f64 x #s(literal -10800000000000000503000027115700100469749132900959318082550221303192440073970530574992137399163007131704684313912388150963215100829990145344041689379696486885466158892009792171644687306821760001219608797688862927980205073614334310861263054307328 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 560000 binary64)) (+.f64 y x) (.f64 y (neg.f64 x)))))
(+.f64 y x)
y

Outputs
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -225 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -619999999999999970284118315719574799527903410259972720551308607130174550992676472532535233957944533503173585649840823521882805691592720469114013997374831815624969480911702043655550801215386394486815339194464164524683970418193504341559307600012459655060622321968378016430242924180485410361410846720 binary64)) (+.f64 y x) (if (<=.f64 x #s(literal -10800000000000000503000027115700100469749132900959318082550221303192440073970530574992137399163007131704684313912388150963215100829990145344041689379696486885466158892009792171644687306821760001219608797688862927980205073614334310861263054307328 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 560000 binary64)) (+.f64 y x) (.f64 y (neg.f64 x)))))
(if (<=.f64 x #s(literal -619999999999999970284118315719574799527903410259972720551308607130174550992676472532535233957944533503173585649840823521882805691592720469114013997374831815624969480911702043655550801215386394486815339194464164524683970418193504341559307600012459655060622321968378016430242924180485410361410846720 binary64)) (+.f64 y x) (if (or (<=.f64 x #s(literal -10800000000000000503000027115700100469749132900959318082550221303192440073970530574992137399163007131704684313912388150963215100829990145344041689379696486885466158892009792171644687306821760001219608797688862927980205073614334310861263054307328 binary64)) (not (<=.f64 x #s(literal 560000 binary64)))) (*.f64 y (neg.f64 x)) (+.f64 y x)))
(if (or (<=.f64 x #s(literal -619999999999999970284118315719574799527903410259972720551308607130174550992676472532535233957944533503173585649840823521882805691592720469114013997374831815624969480911702043655550801215386394486815339194464164524683970418193504341559307600012459655060622321968378016430242924180485410361410846720 binary64)) (not (or (<=.f64 x #s(literal -10800000000000000503000027115700100469749132900959318082550221303192440073970530574992137399163007131704684313912388150963215100829990145344041689379696486885466158892009792171644687306821760001219608797688862927980205073614334310861263054307328 binary64)) (not (<=.f64 x #s(literal 560000 binary64)))))) (+.f64 y x) (*.f64 y (neg.f64 x)))
(if (or (<=.f64 x #s(literal -619999999999999970284118315719574799527903410259972720551308607130174550992676472532535233957944533503173585649840823521882805691592720469114013997374831815624969480911702043655550801215386394486815339194464164524683970418193504341559307600012459655060622321968378016430242924180485410361410846720 binary64)) (and (not (<=.f64 x #s(literal -10800000000000000503000027115700100469749132900959318082550221303192440073970530574992137399163007131704684313912388150963215100829990145344041689379696486885466158892009792171644687306821760001219608797688862927980205073614334310861263054307328 binary64))) (<=.f64 x #s(literal 560000 binary64)))) (+.f64 y x) (*.f64 y (neg.f64 x)))
(+.f64 y x)
y

soundness230.0ms (9.7%)

Rules

639×	`fma-neg`
535×	`fma-define`
388×	`unsub-neg`
326×	`exp-prod`
310×	`associate-+l+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	110	1336
1	225	1184
2	483	1184
3	2032	1184
4	5551	1184
0	24	241
1	68	217
2	180	191
3	548	174
4	1346	168
5	2190	168
6	2435	168
7	2442	168

Stop Event

1×	done
1×	saturated
1×	node limit

Compiler

Compiled 217 to 101 computations (53.5% saved)

preprocess65.0ms (2.8%)

Compiler: Compiled 196 to 114 computations (41.8% saved)

Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A

analyze0.0ms (0%)

sample890.0ms (37.6%)

preprocess94.0ms (4%)

explain71.0ms (3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize57.0ms (2.4%)

series7.0ms (0.3%)

rewrite324.0ms (13.7%)

simplify153.0ms (6.5%)

eval57.0ms (2.4%)

prune28.0ms (1.2%)

localize36.0ms (1.5%)

series3.0ms (0.1%)

rewrite70.0ms (3%)

simplify78.0ms (3.3%)

eval19.0ms (0.8%)

prune10.0ms (0.4%)

localize25.0ms (1.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes32.0ms (1.3%)

regimes11.0ms (0.5%)

regimes10.0ms (0.4%)

regimes4.0ms (0.2%)

regimes1.0ms (0%)

bsearch34.0ms (1.4%)

bsearch42.0ms (1.8%)

simplify8.0ms (0.3%)

soundness230.0ms (9.7%)

preprocess65.0ms (2.8%)

end0.0ms (0%)

Profiling