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

sample1.5s (49.2%)

Results

1.3s	7980×	256	valid
22.0ms	107×	1024	valid
24.0ms	92×	2048	valid
19.0ms	76×	512	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 384.0ms

Operation ival-fabs, time spent: 129.0ms, 34.0% of total-time

Operation ival-div, time spent: 115.0ms, 30.0% of total-time

Operation ival-sub, time spent: 75.0ms, 20.0% of total-time

Operation ival-add, time spent: 50.0ms, 13.0% of total-time

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

Bogosity

preprocess200.0ms (6.7%)

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: 23.0ms

Operation ival-div, time spent: 9.0ms, 40.0% of total-time

Operation ival-sub, time spent: 4.0ms, 18.0% of total-time

Operation ival-fabs, time spent: 4.0ms, 18.0% of total-time

Operation ival-add, time spent: 4.0ms, 18.0% of total-time

Operation const, time spent: 2.0ms, 9.0% of total-time

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

localize44.0ms (1.4%)

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: 6.0ms, 49.0% of total-time

Operation ival-sub, time spent: 2.0ms, 16.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 16.0% of total-time

Operation ival-add, time spent: 2.0ms, 16.0% 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))

rewrite250.0ms (8.3%)

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 (2.9%)

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)

eval21.0ms (0.7%)

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

prune48.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Accuracy

99.9%

Counts

78 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.8%	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
▶	25.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
▶	51.6%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
▶	11.7%	x

Compiler

Compiled 37 to 26 computations (29.7% saved)

localize62.0ms (2.1%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

Operation ival-div, time spent: 5.0ms, 29.0% of total-time

Operation ival-mult, time spent: 4.0ms, 24.0% of total-time

Operation ival-sub, time spent: 3.0ms, 18.0% of total-time

Operation ival-add, time spent: 2.0ms, 12.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 12.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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))))>

Calls

6 calls:

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

rewrite98.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`log1p-expm1-u`
805×	`expm1-log1p-u`
622×	`unpow-prod-down`
345×	`fma-define`
338×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	138	24
2	2124	24

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

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

simplify97.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

524×	`unswap-sqr`
392×	`fma-define`
298×	`distribute-lft-neg-in`
267×	`distribute-lft-in`
255×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	241	3445
1	546	3315
2	1407	3103
3	5213	3075

Stop Event

1×	node limit

Counts

106 → 112

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

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

eval34.0ms (1.1%)

Compiler: Compiled 1717 to 997 computations (41.9% saved)

prune20.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	111	6	117

Accuracy

99.9%

Counts

117 → 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)))
▶	57.8%	(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
✓	51.6%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
▶	26.2%	(*.f64 #s(literal 1/2 binary64) y)
▶	34.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	11.7%	x

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize54.0ms (1.8%)

Compiler: Compiled 24 to 13 computations (45.8% saved)
Precisions: Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-mult, time spent: 11.0ms, 81.0% of total-time
Operation ival-add, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 7.0% 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)))
✓	57.8%	(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
✓	51.6%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
✓	26.2%	(*.f64 #s(literal 1/2 binary64) y)
✓	34.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	11.7%	x

Compiler

Compiled 78 to 49 computations (37.2% saved)

regimes15.0ms (0.5%)

Counts

8 → 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)))

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

Calls

3 calls:

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

regimes15.0ms (0.5%)

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

Calls

2 calls:

7.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
72.6%	2	`x`
73.6%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
57.8%	1	`y`
57.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.3%)

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:

6.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
50.3%	2	`y`
48.1%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
34.7%	1	`x`
34.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
11.7%	1	`x`
11.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch15.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-2.3816208283851226e-186	-9.145751994716647e-188

Results

13.0ms	111×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 134 to 102 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

Operation ival-sub, time spent: 1.0ms, 31.0% of total-time

Operation ival-div, time spent: 1.0ms, 31.0% of total-time

Operation ival-add, time spent: 1.0ms, 31.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 31.0% of total-time

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

bsearch16.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	431780499070219840.0	1.175965177722935e+19

Results

13.0ms	109×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid

Compiler

Compiled 99 to 81 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

Operation ival-div, time spent: 1.0ms, 30.0% of total-time

Operation ival-add, time spent: 1.0ms, 30.0% of total-time

Operation ival-sub, time spent: 1.0ms, 30.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 30.0% of total-time

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

simplify9.0ms (0.3%)

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 x #s(literal -5388771641723077/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.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 440000000000000000 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 x #s(literal -5388771641723077/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(if (<=.f64 x #s(literal -5388771641723077/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(if (<=.f64 y #s(literal 440000000000000000 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 440000000000000000 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)

soundness357.0ms (11.9%)

Rules

804×	`log1p-expm1-u`
804×	`expm1-log1p-u`
548×	`fma-neg`
524×	`unswap-sqr`
505×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	158	24
2	2434	24
0	241	3445
1	546	3315
2	1407	3103
3	5213	3075
0	171	3422
1	375	3131
2	955	3002
3	4197	2750

Stop Event

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

Compiler

Compiled 294 to 114 computations (61.2% saved)

end0.0ms (0%)

preprocess48.0ms (1.6%)

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%)

sample1.5s (49.2%)

preprocess200.0ms (6.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize44.0ms (1.4%)

series4.0ms (0.1%)

rewrite250.0ms (8.3%)

simplify88.0ms (2.9%)

eval21.0ms (0.7%)

prune48.0ms (1.6%)

localize62.0ms (2.1%)

series4.0ms (0.1%)

rewrite98.0ms (3.3%)

simplify97.0ms (3.2%)

eval34.0ms (1.1%)

prune20.0ms (0.7%)

localize54.0ms (1.8%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes15.0ms (0.5%)

regimes15.0ms (0.5%)

regimes7.0ms (0.2%)

regimes10.0ms (0.3%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

bsearch15.0ms (0.5%)

bsearch16.0ms (0.5%)

simplify9.0ms (0.3%)

soundness357.0ms (11.9%)

end0.0ms (0%)

preprocess48.0ms (1.6%)

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