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

sample1.6s (46.4%)

Results

1.3s	7987×	256	valid
19.0ms	97×	1024	valid
132.0ms	89×	2048	valid
12.0ms	82×	512	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 492.0ms

Operation ival-add, time spent: 210.0ms, 43.0% of total-time

Operation ival-fabs, time spent: 126.0ms, 26.0% of total-time

Operation ival-div, time spent: 73.0ms, 15.0% of total-time

Operation ival-sub, time spent: 67.0ms, 14.0% of total-time

Operation const, time spent: 15.0ms, 3.0% of total-time

Bogosity

preprocess241.0ms (7%)

Algorithm

1×	egg-herbie

Rules

223×	`fmm-def`
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: 21.0ms

Operation ival-div, time spent: 8.0ms, 39.0% of total-time

Operation ival-sub, time spent: 4.0ms, 19.0% of total-time

Operation ival-fabs, time spent: 4.0ms, 19.0% of total-time

Operation ival-add, time spent: 3.0ms, 15.0% of total-time

Operation const, time spent: 2.0ms, 10.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

localize44.0ms (1.3%)

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: 10.0ms

Operation ival-div, time spent: 4.0ms, 39.0% of total-time

Operation ival-sub, time spent: 2.0ms, 19.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 19.0% of total-time

Operation ival-add, time spent: 2.0ms, 19.0% of total-time

Operation const, time spent: 1.0ms, 10.0% of total-time

series3.0ms (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))
0.0ms	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))

rewrite232.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

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 → 59

Calls

Call 1

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

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

simplify87.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

603×	`fmm-def`
368×	`distribute-lft-neg-in`
314×	`associate-l`
307×	`associate-r`
307×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	3406
1	384	3103
2	973	3030
3	4307	2766

Stop Event

1×	node limit

Counts

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

eval49.0ms (1.4%)

Compiler: Compiled 1058 to 575 computations (45.7% saved)

prune19.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Accuracy

99.9%

Counts

78 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.4%	(fma.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
▶	49.6%	(-.f64 x (/.f64 (-.f64 y x) #s(literal -2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
▶	52.7%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
▶	22.9%	(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
▶	11.8%	x

Compiler

Compiled 92 to 59 computations (35.9% saved)

localize101.0ms (2.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	99.7%	(fma.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
✓	100.0%	(-.f64 x (/.f64 (-.f64 y x) #s(literal -2 binary64)))

Compiler

Compiled 77 to 25 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

Operation ival-sub, time spent: 10.0ms, 25.0% of total-time

Operation composed, time spent: 7.0ms, 18.0% of total-time

Operation ival-div, time spent: 7.0ms, 18.0% of total-time

Operation ival-mult, time spent: 6.0ms, 15.0% of total-time

Operation ival-add, time spent: 4.0ms, 10.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 5.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 5.0% of total-time

Operation const, time spent: 2.0ms, 5.0% of total-time

series16.0ms (0.5%)

Counts

3 → 72

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))>
#<alt (-.f64 x (*.f64 #s(literal 1/2 binary64) x))>
#<alt (-.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) x))>
#<alt (-.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) x))>
#<alt (-.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1/2 binary64))))>
#<alt (+.f64 x (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))>
#<alt (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))>
#<alt (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))>

Calls

18 calls:

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

rewrite134.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`log1p-expm1-u`
1018×	`expm1-log1p-u`
384×	`fma-define`
190×	`fmm-def`
162×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	207	73
2	3003	65

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

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

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

simplify173.0ms (5%)

Algorithm

1×	egg-herbie

Rules

677×	`distribute-lft-in`
655×	`distribute-rgt-in`
260×	`associate-r`
259×	`fma-define`
250×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	479	10177
1	1220	9589
2	3920	9525

Stop Event

1×	node limit

Counts

259 → 251

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 (+.f64 x (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(-.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(-.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1/2 binary64))))
(+.f64 x (*.f64 #s(literal -1/2 binary64) x))
(+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))
(.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))
(.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))
(.f64 #s(literal -1/2 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(+.f64 (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) (.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(+.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (fma.f64 (neg.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)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(+.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (+.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) (.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(+.f64 (.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(+.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 #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)))
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(*.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)))
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(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)
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(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (fma.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (fma.f64 (neg.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)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (+.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) (.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(fma.f64 (neg.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 (.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (.f64 (-.f64 y x) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64))) x)
(fma.f64 (.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64))) x)
(+.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(+.f64 (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) (.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(+.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (fma.f64 (neg.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)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(+.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (+.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) (.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(+.f64 (.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(+.f64 (-.f64 x (.f64 y #s(literal -1/2 binary64))) (.f64 x #s(literal -1/2 binary64)))
(-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(-.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 3 binary64)) (fma.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #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 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 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) 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) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.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) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (fma.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 (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) (.f64 (-.f64 y x) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) (.f64 (-.f64 y x) #s(literal 1/2 binary64))) (.f64 x (.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) (.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
(pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 y x)) #s(literal -1/2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 y x)) #s(literal -1/2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 y x)) #s(literal -1/2 binary64))) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 y x)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (exp.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 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)) (pow.f64 (exp.f64 (-.f64 y x)) #s(literal -1/2 binary64))))
(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))))))
(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)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 y x))) (cbrt.f64 (-.f64 y x)))
(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 x y)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x y)))))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y x)))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))

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

eval239.0ms (7%)

Compiler: Compiled 9500 to 5981 computations (37% saved)

prune57.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	355	3	358
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	358	6	364

Accuracy

99.9%

Counts

364 → 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)))
▶	49.6%	(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
✓	52.7%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
▶	24.0%	(*.f64 #s(literal 1/2 binary64) y)
▶	28.5%	(*.f64 #s(literal 1/2 binary64) x)
✓	11.8%	x

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize47.0ms (1.4%)

Compiler: Compiled 24 to 13 computations (45.8% saved)
Precisions: Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-mult, time spent: 6.0ms, 72.0% of total-time
Operation const, time spent: 1.0ms, 12.0% of total-time
Operation ival-add, time spent: 1.0ms, 12.0% of total-time

eval0.0ms (0%)

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

prune5.0ms (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)))
✓	49.6%	(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
✓	52.7%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
✓	24.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	28.5%	(*.f64 #s(literal 1/2 binary64) x)
✓	11.8%	x

Compiler

Compiled 90 to 54 computations (40% saved)

regimes11.0ms (0.3%)

Counts

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

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

Calls

3 calls:

4.0ms	y
3.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms	x

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes11.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
66.7%	2	`x`
67.4%	2	`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 x y))
(*.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
2.0ms	y

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.3%)

Counts

4 → 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 x y))

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

Calls

2 calls:

5.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
40.7%	3	`x`
45.1%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
28.5%	1	`x`
28.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
11.8%	1	`x`
11.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch13.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-2172530625702488.3	-222218805450102.22

Results

11.0ms	92×	256	valid
0.0ms	2×	1024	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid

Compiler

Compiled 117 to 89 computations (23.9% saved)

Precisions

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

Operation ival-div, time spent: 1.0ms, 35.0% of total-time

Operation ival-add, time spent: 1.0ms, 35.0% of total-time

Operation ival-sub, time spent: 1.0ms, 35.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 35.0% of total-time

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

bsearch18.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	123535111180356.16	1344924147564938800.0

Results

13.0ms	125×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid

Compiler

Compiled 111 to 91 computations (18% saved)

Precisions

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

Operation ival-div, time spent: 1.0ms, 27.0% of total-time

Operation ival-add, time spent: 1.0ms, 27.0% of total-time

Operation ival-sub, time spent: 1.0ms, 27.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 27.0% 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 y #s(literal -270000000000000 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(if (<=.f64 y #s(literal 125000000000000 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
x

Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -270000000000000 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(if (<=.f64 y #s(literal -270000000000000 binary64)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(if (<=.f64 y #s(literal 125000000000000 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 125000000000000 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)

soundness256.0ms (7.5%)

Rules

804×	`log1p-expm1-u`
804×	`expm1-log1p-u`
677×	`distribute-lft-in`
655×	`distribute-rgt-in`
380×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	158	24
2	2434	24
0	479	10177
1	1220	9589
2	3920	9525

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 145 to 80 computations (44.8% saved)

end0.0ms (0%)

preprocess48.0ms (1.4%)

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

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

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

analyze0.0ms (0%)

sample1.6s (46.4%)

preprocess241.0ms (7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize44.0ms (1.3%)

series3.0ms (0.1%)

rewrite232.0ms (6.8%)

simplify87.0ms (2.5%)

eval49.0ms (1.4%)

prune19.0ms (0.5%)

localize101.0ms (2.9%)

series16.0ms (0.5%)

rewrite134.0ms (3.9%)

simplify173.0ms (5%)

eval239.0ms (7%)

prune57.0ms (1.7%)

localize47.0ms (1.4%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes11.0ms (0.3%)

regimes11.0ms (0.3%)

regimes7.0ms (0.2%)

regimes9.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch13.0ms (0.4%)

bsearch18.0ms (0.5%)

simplify9.0ms (0.3%)

soundness256.0ms (7.5%)

end0.0ms (0%)

preprocess48.0ms (1.4%)

Profiling

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