Metrics for Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3

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 11 to 8 computations (27.3% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

sample1.1s (38.3%)

Results

647.0ms	7931×	0	valid
21.0ms	157×	1	valid
18.0ms	99×	2	valid
24.0ms	69×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 461.0ms

ival-sub: 157.0ms (34.1% of total)

ival-fabs: 105.0ms (22.8% of total)

ival-add: 91.0ms (19.7% of total)

ival-div: 76.0ms (16.5% of total)

backward-pass: 19.0ms (4.1% of total)

const: 13.0ms (2.8% of total)

Bogosity

preprocess77.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

223×	`fma-neg`
67×	`fma-define`
47×	`sub-neg`
36×	`cancel-sign-sub-inv`
28×	`distribute-lft-neg-in`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	29	256
1	58	224
2	146	224
3	313	224
4	480	220
5	628	216
6	733	204
7	824	204
8	852	204
9	865	204
10	871	204

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) #s(literal 2 binary64)))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) #s(literal 2 binary64))))
(neg.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) #s(literal 2 binary64))))
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))

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

explain78.0ms (2.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(fabs.f64 (-.f64 y x))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
-	-	`(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))`
-	-	`(-.f64 y x)`

Results

43.0ms	484×	256	valid
4.0ms	20×	1024	valid
2.0ms	6×	2048	valid
0.0ms	2×	512	valid

Compiler

Compiled 64 to 29 computations (54.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (41.3% of total)

ival-sub: 4.0ms (20.7% of total)

ival-fabs: 4.0ms (20.7% of total)

ival-add: 3.0ms (15.5% of total)

const: 1.0ms (5.2% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Compiler

Compiled 10 to 7 computations (30% saved)

localize32.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Results

19.0ms	242×	256	valid
2.0ms	10×	1024	valid
1.0ms	3×	2048	valid
0.0ms	1×	512	valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 5.0ms (46.1% of total)

ival-sub: 2.0ms (18.4% of total)

ival-fabs: 2.0ms (18.4% of total)

const: 1.0ms (9.2% of total)

ival-add: 1.0ms (9.2% of total)

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite200.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`log1p-expm1-u`
804×	`expm1-log1p-u`
380×	`fma-define`
334×	`log-prod`
187×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	158	24
2	2434	24

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

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

simplify116.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

548×	`fma-neg`
505×	`associate-+l+`
359×	`distribute-lft-neg-in`
312×	`associate-r`
307×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	3422
1	375	3131
2	955	3002
3	4197	2750

Stop Event

1×	node limit

Counts

82 → 77

Calls

Call 1

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

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

eval18.0ms (0.6%)

Compiler: Compiled 1078 to 586 computations (45.6% saved)

prune13.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	7	78

Accuracy

99.9%

Counts

78 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.4%	(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
▶	49.2%	(fma.f64 (sqrt.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
▶	54.4%	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
▶	25.7%	(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
▶	53.5%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
▶	11.5%	x

Compiler

Compiled 128 to 83 computations (35.2% saved)

localize163.0ms (5.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.6%	(fma.f64 (sqrt.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))

Results

100.0ms	129×	256	invalid
27.0ms	127×	256	valid

Compiler

Compiled 80 to 30 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 85.0ms (80.4% of total)

ival-div: 5.0ms (4.7% of total)

ival-sqrt: 5.0ms (4.7% of total)

<compiled-spec>: 3.0ms (2.8% of total)

ival-add: 3.0ms (2.8% of total)

ival-sub: 2.0ms (1.9% of total)

ival-fabs: 2.0ms (1.9% of total)

const: 2.0ms (1.9% of total)

series8.0ms (0.3%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite106.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`log1p-expm1-u`
891×	`expm1-log1p-u`
394×	`log-prod`
385×	`fma-define`
203×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	56
1	204	48
2	2428	48

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

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

simplify175.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-define`
428×	`associate-r`
422×	`associate-l`
325×	`div-sub`
315×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	256	5511
1	649	5297
2	1582	5105
3	6605	5097

Stop Event

1×	node limit

Counts

161 → 129

Calls

Call 1

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

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

eval103.0ms (3.7%)

Compiler: Compiled 1817 to 1051 computations (42.2% saved)

prune19.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	130	6	136

Accuracy

99.9%

Counts

136 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
▶	54.4%	(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
✓	53.5%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
▶	26.8%	(*.f64 #s(literal 1/2 binary64) y)
▶	30.5%	(*.f64 #s(literal 1/2 binary64) x)
✓	11.5%	x

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize34.0ms (1.2%)

Results

24.0ms

256×

256

valid

Compiler

Compiled 24 to 13 computations (45.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (63.9% of total)

ival-add: 2.0ms (25.5% of total)

const: 1.0ms (12.8% of total)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	3	3
Total	6	6

Accuracy

99.9%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
✓	54.4%	(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
✓	53.5%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
✓	26.8%	(*.f64 #s(literal 1/2 binary64) y)
✓	30.5%	(*.f64 #s(literal 1/2 binary64) x)
✓	11.5%	x

Compiler

Compiled 106 to 62 computations (41.5% saved)

regimes14.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Calls

3 calls:

7.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes10.0ms (0.4%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
69.8%	2	`x`
73.9%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
54.4%	1	`x`
54.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
44.6%	2	`x`
48.6%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
30.5%	1	`x`
30.5%	1	`y`

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
x

Outputs
x

Calls

2 calls:

0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
11.5%	1	`x`
11.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch80.0ms (2.9%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-2.2496922965426395e+38	-4.99267799227644e+33

Results

7.0ms	123×	0	valid
0.0ms	3×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 151 to 115 computations (23.8% saved)

Precisions

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

ival-div: 1.0ms (26.6% of total)

ival-sub: 1.0ms (26.6% of total)

ival-add: 1.0ms (26.6% of total)

ival-fabs: 1.0ms (26.6% of total)

const: 0.0ms (0% of total)

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

bsearch3.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	6.325569225373516e-75	7.05093690143049e-75

Results

2.0ms

32×

valid

Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

const: 0.0ms (0% of total)

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

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
6×	`+-commutative`
4×	`sub-neg`
2×	`neg-sub0`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	151
1	38	151
2	45	151
3	50	151
4	53	151
5	54	151

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -60000000000000004316125673517194674176 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(if (<=.f64 y #s(literal 6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
x

Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -60000000000000004316125673517194674176 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(if (<=.f64 y #s(literal -60000000000000004316125673517194674176 binary64)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(if (<=.f64 y #s(literal 6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
x

soundness394.0ms (14.2%)

Rules

804×	`log1p-expm1-u`
804×	`expm1-log1p-u`
658×	`fma-define`
548×	`fma-neg`
505×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	3422
1	375	3131
2	955	3002
3	4197	2750
0	13	32
1	158	24
2	2434	24
0	256	5511
1	649	5297
2	1582	5105
3	6605	5097

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 338 to 140 computations (58.6% saved)

preprocess37.0ms (1.3%)

Compiler: Compiled 108 to 66 computations (38.9% saved)

Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3

analyze0.0ms (0%)

sample1.1s (38.3%)

preprocess77.0ms (2.8%)

explain78.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize32.0ms (1.2%)

series4.0ms (0.1%)

rewrite200.0ms (7.2%)

simplify116.0ms (4.2%)

eval18.0ms (0.6%)

prune13.0ms (0.5%)

localize163.0ms (5.9%)

series8.0ms (0.3%)

rewrite106.0ms (3.8%)

simplify175.0ms (6.3%)

eval103.0ms (3.7%)

prune19.0ms (0.7%)

localize34.0ms (1.2%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes14.0ms (0.5%)

regimes10.0ms (0.4%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

bsearch80.0ms (2.9%)

bsearch3.0ms (0.1%)

simplify5.0ms (0.2%)

soundness394.0ms (14.2%)

preprocess37.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	29	256
1	58	224
2	146	224
3	313	224
4	480	220
5	628	216
6	733	204
7	824	204
8	852	204
9	865	204
10	871	204

Iter	Nodes	Cost
0	29	256
1	58	224
2	146	224
3	313	224
4	480	220
5	628	216
6	733	204
7	824	204
8	852	204
9	865	204
10	871	204

Iter	Nodes	Cost
0	29	256
1	58	224
2	146	224
3	313	224
4	480	220
5	628	216
6	733	204
7	824	204
8	852	204
9	865	204
10	871	204