Metrics for Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors 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 12 to 9 computations (25% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.3s (47.5%)

Results

616.0ms	6362×	0	valid
375.0ms	1729×	1	valid
33.0ms	165×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 534.0ms

ival-add: 203.0ms (38% of total)

ival-sub: 181.0ms (33.9% of total)

ival-mult: 85.0ms (15.9% of total)

backward-pass: 47.0ms (8.8% of total)

const: 18.0ms (3.4% of total)

Bogosity

preprocess241.0ms (9%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-neg`
569×	`unsub-neg`
521×	`sub-neg`
432×	`distribute-lft-out`
415×	`distribute-lft-out--`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	270
1	57	222
2	167	218
3	709	218
4	2707	175
5	5011	175
6	6069	175
7	6595	175
8	6843	175
9	6993	175
10	7082	175
11	7202	175
12	7543	175

Stop Event

1×	node limit

Calls

Call 1

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

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

explain117.0ms (4.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
52	3	(-2570899.0501141967 1.2447531577687089e-226)	-	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
0	0	-	-	`x`
0	0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))`
0	0	-	-	`y`
0	0	-	-	`(-.f64 #s(literal 1 binary64) y)`

Results

50.0ms	404×	0	valid
25.0ms	92×	1	valid
5.0ms	16×	2	valid

Compiler

Compiled 67 to 46 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sub: 23.0ms (50.7% of total)

ival-mult: 9.0ms (19.8% of total)

backward-pass: 8.0ms (17.6% of total)

ival-add: 3.0ms (6.6% of total)

const: 2.0ms (4.4% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize34.0ms (1.3%)

Localize:

Found 1 expressions with local error:

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

Results

24.0ms

256×

valid

Compiler

Compiled 22 to 15 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (54.6% of total)

ival-add: 5.0ms (39% of total)

const: 1.0ms (7.8% of total)

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

series8.0ms (0.3%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite236.0ms (8.8%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`log1p-expm1-u`
515×	`expm1-log1p-u`
428×	`unpow-prod-down`
418×	`pow1`
279×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	104	19
2	1415	19

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

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

simplify76.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

486×	`distribute-lft-neg-out`
443×	`associate-r`
433×	`associate-l`
394×	`fma-define`
387×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1781
1	361	1759
2	934	1743
3	4537	1743

Stop Event

1×	node limit

Counts

77 → 72

Calls

Call 1

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

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

eval13.0ms (0.5%)

Compiler: Compiled 915 to 576 computations (37% saved)

prune11.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Accuracy

100.0%

Counts

73 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
▶	76.2%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
▶	60.1%	(+.f64 #s(literal 1 binary64) (neg.f64 y))

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize31.0ms (1.2%)

Results

22.0ms

256×

valid

Compiler

Compiled 22 to 11 computations (50% saved)

Precisions

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

ival-add: 3.0ms (41.4% of total)

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

const: 1.0ms (13.8% of total)

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

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

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	1	1
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
✓	76.2%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	60.1%	(+.f64 #s(literal 1 binary64) (neg.f64 y))

Compiler

Compiled 49 to 36 computations (26.5% saved)

regimes43.0ms (1.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
2.0ms	y
2.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes16.0ms (0.6%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
99.3%	3	`x`
78.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
60.1%	1	`y`
60.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch25.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.9409439882898118e-16	2.9229274523074505e-15
12.0ms	-1954891294502.7834	-2397202970.455217

Results

14.0ms

224×

valid

Compiler

Compiled 226 to 180 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (34.7% of total)

ival-mult: 2.0ms (34.7% of total)

ival-add: 1.0ms (17.4% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative`
3×	`1-exp`
3×	`*-commutative`
2×	`if-if-or-not`
1×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	95
1	45	95
2	47	95
3	48	95

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -2400000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y x)) (if (<=.f64 x #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 y)) (+.f64 #s(literal 1 binary64) (*.f64 y x))))

(+.f64 #s(literal 1 binary64) (neg.f64 y))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -2400000000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (if (<=.f64 x #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 y)) (+.f64 #s(literal 1 binary64) (.f64 y x))))
(if (or (<=.f64 x #s(literal -2400000000 binary64)) (not (<=.f64 x #s(literal 7352373481323731/2535301200456458802993406410752 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)

soundness511.0ms (19.1%)

Rules

725×	`fma-neg`
569×	`unsub-neg`
521×	`sub-neg`
486×	`distribute-lft-neg-out`
443×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	270
1	57	222
2	167	218
3	709	218
4	2707	175
5	5011	175
6	6069	175
7	6595	175
8	6843	175
9	6993	175
10	7082	175
11	7202	175
12	7543	175
0	160	1781
1	361	1759
2	934	1743
3	4537	1743

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 255 to 169 computations (33.7% saved)

preprocess37.0ms (1.4%)

Compiler: Compiled 98 to 70 computations (28.6% saved)

Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

analyze0.0ms (0%)

sample1.3s (47.5%)

preprocess241.0ms (9%)

explain117.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize34.0ms (1.3%)

series8.0ms (0.3%)

rewrite236.0ms (8.8%)

simplify76.0ms (2.8%)

eval13.0ms (0.5%)

prune11.0ms (0.4%)

localize31.0ms (1.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes43.0ms (1.6%)

regimes16.0ms (0.6%)

regimes1.0ms (0%)

bsearch25.0ms (0.9%)

simplify4.0ms (0.1%)

soundness511.0ms (19.1%)

preprocess37.0ms (1.4%)

end0.0ms (0%)

Profiling