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

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-fabs, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.4s (35.9%)

Results

1.3s	8002×	256	valid
22.0ms	97×	1024	valid
22.0ms	84×	2048	valid
11.0ms	71×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

Operation ival-sub, time spent: 110.0ms, 31.0% of total-time

Operation ival-fabs, time spent: 98.0ms, 28.0% of total-time

Operation ival-div, time spent: 78.0ms, 22.0% of total-time

Operation ival-add, time spent: 52.0ms, 15.0% of total-time

Operation const, time spent: 15.0ms, 4.0% of total-time

Bogosity

preprocess167.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

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

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)`

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)

Compiler

Compiled 64 to 29 computations (54.7% saved)

Precisions

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

Operation ival-div, time spent: 8.0ms, 34.0% of total-time

Operation ival-sub, time spent: 6.0ms, 25.0% of total-time

Operation ival-fabs, time spent: 4.0ms, 17.0% of total-time

Operation ival-add, time spent: 4.0ms, 17.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

eval11.0ms (0.3%)

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

prune2.0ms (0.1%)

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)

localize43.0ms (1.1%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-div, time spent: 5.0ms, 42.0% of total-time

Operation ival-fabs, time spent: 3.0ms, 25.0% of total-time

Operation ival-sub, time spent: 2.0ms, 17.0% of total-time

Operation ival-add, time spent: 2.0ms, 17.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

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))

rewrite198.0ms (5%)

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)

simplify88.0ms (2.2%)

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)

eval23.0ms (0.6%)

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

prune15.0ms (0.4%)

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
	55.7%	(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
▶	32.2%	(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
▶	56.4%	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
▶	29.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
▶	58.1%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
▶	10.7%	x

Compiler

Compiled 114 to 79 computations (30.7% saved)

localize145.0ms (3.7%)

Localize:

Found 3 expressions with local error:

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

Compiler

Compiled 78 to 29 computations (62.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

Operation composed, time spent: 17.0ms, 31.0% of total-time

Operation ival-mult, time spent: 15.0ms, 27.0% of total-time

Operation ival-add, time spent: 5.0ms, 9.0% of total-time

Operation ival-div, time spent: 4.0ms, 7.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 7.0% of total-time

Operation ival-pow, time spent: 3.0ms, 5.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 4.0% of total-time

Operation ival-sub, time spent: 2.0ms, 4.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

series10.0ms (0.2%)

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

#<alt (fma.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 -1/2 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 #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 #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))))>

Calls

18 calls:

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

rewrite485.0ms (12.3%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`log1p-expm1-u`
870×	`expm1-log1p-u`
377×	`log-prod`
355×	`fma-define`
188×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	203	72
2	2393	72

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

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

simplify548.0ms (13.9%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-define`
412×	`distribute-lft-neg-in`
355×	`distribute-rgt-neg-in`
336×	`associate-r`
332×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	9014
1	487	8638
2	1223	8294
3	5457	8278

Stop Event

1×	node limit

Counts

265 → 113

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

eval32.0ms (0.8%)

Compiler: Compiled 1612 to 908 computations (43.7% saved)

prune28.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	114	6	120

Accuracy

99.9%

Counts

120 → 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)))
▶	56.4%	(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
✓	58.1%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
▶	30.0%	(*.f64 #s(literal 1/2 binary64) y)
▶	28.9%	(*.f64 #s(literal 1/2 binary64) x)
✓	10.7%	x

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize98.0ms (2.5%)

Compiler: Compiled 24 to 13 computations (45.8% saved)
Precisions: Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-mult, time spent: 6.0ms, 71.0% of total-time
Operation ival-add, time spent: 2.0ms, 24.0% of total-time
Operation const, time spent: 1.0ms, 12.0% of total-time

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)))
✓	56.4%	(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
✓	58.1%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
✓	30.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	28.9%	(*.f64 #s(literal 1/2 binary64) x)
✓	10.7%	x

Compiler

Compiled 99 to 60 computations (39.4% saved)

regimes14.0ms (0.4%)

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

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

Calls

3 calls:

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

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)

regimes11.0ms (0.3%)

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	x
5.0ms	y

Results

Accuracy	Segments	Branch
74.9%	2	`x`
76.3%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
56.4%	1	`x`
56.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes47.0ms (1.2%)

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:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
47.3%	2	`y`
47.7%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
28.9%	1	`x`
28.9%	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:

1.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
10.7%	1	`x`
10.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch22.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-3.273187279545798e-52	-2.652102503438702e-57

Results

16.0ms	136×	256	valid
2.0ms	6×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid

Compiler

Compiled 168 to 128 computations (23.8% saved)

Precisions

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

Operation ival-div, time spent: 1.0ms, 21.0% of total-time

Operation ival-add, time spent: 1.0ms, 21.0% of total-time

Operation ival-sub, time spent: 1.0ms, 21.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 21.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch21.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.390712421191361e-106	1.1868485468688675e-97

Results

16.0ms	133×	256	valid
1.0ms	5×	1024	valid
0.0ms	3×	512	valid
1.0ms	2×	2048	valid
0.0ms	1×	256	valid

Compiler

Compiled 123 to 101 computations (17.9% saved)

Precisions

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

Operation ival-div, time spent: 1.0ms, 21.0% of total-time

Operation ival-sub, time spent: 1.0ms, 21.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 21.0% of total-time

Operation ival-add, time spent: 1.0ms, 21.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify7.0ms (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×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -8735022720156807/215679573337205118357336120696157045389097155380324579848828881993728 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 2364120371783669/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 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 -8735022720156807/215679573337205118357336120696157045389097155380324579848828881993728 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 -8735022720156807/215679573337205118357336120696157045389097155380324579848828881993728 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 2364120371783669/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 2364120371783669/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 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

Compiler

Compiled 54 to 39 computations (27.8% saved)

soundness434.0ms (11%)

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	3422
1	375	3131
2	955	3002
3	4197	2750
0	218	9014
1	487	8638
2	1223	8294
3	5457	8278
0	13	32
1	158	24
2	2434	24

Stop Event

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

Compiler

Compiled 294 to 114 computations (61.2% saved)

end0.0ms (0%)

preprocess56.0ms (1.4%)

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

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

analyze0.0ms (0%)

sample1.4s (35.9%)

preprocess167.0ms (4.2%)

eval11.0ms (0.3%)

prune2.0ms (0.1%)

localize43.0ms (1.1%)

series4.0ms (0.1%)

rewrite198.0ms (5%)

simplify88.0ms (2.2%)

eval23.0ms (0.6%)

prune15.0ms (0.4%)

localize145.0ms (3.7%)

series10.0ms (0.2%)

rewrite485.0ms (12.3%)

simplify548.0ms (13.9%)

eval32.0ms (0.8%)

prune28.0ms (0.7%)

localize98.0ms (2.5%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes14.0ms (0.4%)

regimes11.0ms (0.3%)

regimes5.0ms (0.1%)

regimes47.0ms (1.2%)

regimes3.0ms (0.1%)

regimes1.0ms (0%)

bsearch22.0ms (0.6%)

bsearch21.0ms (0.5%)

simplify7.0ms (0.2%)

soundness434.0ms (11%)

end0.0ms (0%)

preprocess56.0ms (1.4%)

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