Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

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 7 to 6 computations (14.3% saved)

sample458.0ms (16.4%)

Memory

-10.8MiB live, 901.2MiB allocated

Samples

239.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-add: 87.0ms (91.5% of total)

ival-true: 5.0ms (5.3% of total)

ival-assert: 3.0ms (3.2% of total)

Bogosity

preprocess26.0ms (0.9%)

Memory

-4.3MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Rules

82×	`distribute-rgt-in`
72×	`sub-neg`
62×	`cancel-sign-sub-inv`
60×	`associate-+l-`
50×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) x)

Outputs
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))

explain46.0ms (1.6%)

Memory

16.1MiB live, 91.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`(+.f64 (+.f64 x y) x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

17.0ms

512×

valid

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

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

ival-add: 6.0ms (88.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 x y) x)

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(+.f64 (+.f64 x y) x)

Rules

14×	`lower-+.f32`
10×	`lower-+.f64`
4×	`associate-+l+`
4×	`lift-+.f64`
4×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	12	10
3	14	10
4	15	10
0	15	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) x)
(+.f64 x y)
x
y

Outputs
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(+.f64 x y)
x
y

localize15.0ms (0.5%)

Memory

-15.2MiB live, 29.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(+.f64 (+.f64 x y) x)

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-add: 2.0ms (75.9% of total)

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

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

series2.0ms (0.1%)

Memory

4.0MiB live, 4.1MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (+.f64 (+.f64 x y) x)>
#<alt (+.f64 x y)>

Outputs
#<alt y>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* 2 x)>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt y>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (+ x y) x)
0.0ms	y	@	0	(+ (+ x y) x)
0.0ms	x	@	0	(+ (+ x y) x)
0.0ms	y	@	inf	(+ (+ x y) x)
0.0ms	x	@	inf	(+ x y)

rewrite333.0ms (11.9%)

Memory

-0.7MiB live, 426.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 968×	`lower-fma.f64`
5 968×	`lower-fma.f32`
4 498×	`lower-*.f64`
4 498×	`lower-*.f32`
2 178×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	32	8
2	279	8
3	4621	8
0	8114	7

Stop Event

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

Counts

2 → 205

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) x)
(+.f64 x y)

Outputs
(+.f64 x (+.f64 x y))
(+.f64 y (+.f64 x x))
(+.f64 (+.f64 x y) x)
(+.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 y #s(literal 0 binary64))) (neg.f64 (/.f64 (.f64 x x) (+.f64 y #s(literal 0 binary64)))))
(+.f64 (+.f64 x x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (-.f64 (/.f64 (.f64 y y) (-.f64 x y)) x))
(-.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 y #s(literal 0 binary64))) (/.f64 (.f64 x x) (+.f64 y #s(literal 0 binary64))))
(-.f64 (/.f64 (.f64 x x) (neg.f64 y)) (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (neg.f64 y)))
(-.f64 (+.f64 x (/.f64 (.f64 x x) (-.f64 x y))) (/.f64 (.f64 y y) (-.f64 x y)))
(fma.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))) x)
(fma.f64 (+.f64 x y) (/.f64 (+.f64 x y) (+.f64 y #s(literal 0 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y #s(literal 0 binary64)))))
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)) x)
(fma.f64 (+.f64 x y) (pow.f64 (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal 1 binary64)) x)
(fma.f64 (+.f64 x y) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) x)
(fma.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) x)
(fma.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (.f64 y y))) x)
(fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 0 binary64))) (neg.f64 (/.f64 (.f64 x x) (+.f64 y #s(literal 0 binary64)))))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) x)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))) x)
(fma.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) x)
(fma.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) x)
(fma.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (+.f64 x (+.f64 x y)) (+.f64 y #s(literal 0 binary64)))) (+.f64 x (+.f64 x y)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y #s(literal 0 binary64)))))
(fma.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 x (+.f64 x (+.f64 x y)))) (+.f64 y #s(literal 0 binary64)))) (fma.f64 (+.f64 x y) (+.f64 x y) (.f64 x (+.f64 x (+.f64 x y)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y #s(literal 0 binary64)))))
(fma.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) x)
(fma.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (-.f64 y x))) x)
(fma.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (.f64 x x)) x)
(fma.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (*.f64 y y))))) x)
(fma.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y y))) x)
(fma.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x)))))) x)
(fma.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) x)
(fma.f64 (pow.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (.f64 y y))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (+.f64 x y) x)
(fma.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 x x) (*.f64 y (-.f64 y x))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) #s(literal 1 binary64)) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (exp.f64 (neg.f64 (log.f64 (-.f64 x y)))) x)
(fma.f64 (exp.f64 (log.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))) x)
(neg.f64 (/.f64 (.f64 (+.f64 x (+.f64 x y)) (fma.f64 (+.f64 x y) (+.f64 y #s(literal 0 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 y #s(literal 0 binary64)) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x (+.f64 x y)) (+.f64 y #s(literal 0 binary64))) (+.f64 (neg.f64 y) #s(literal 0 binary64))))
(neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 x y) (+.f64 y #s(literal 0 binary64)) (.f64 x x)) (neg.f64 (+.f64 x (+.f64 x y)))) (fma.f64 (+.f64 x y) (+.f64 y #s(literal 0 binary64)) (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 x (+.f64 x y)) (+.f64 y #s(literal 0 binary64)))) (+.f64 y #s(literal 0 binary64))))
(/.f64 (.f64 (+.f64 x (+.f64 x y)) (fma.f64 (+.f64 x y) (+.f64 y #s(literal 0 binary64)) (.f64 x x))) (fma.f64 (+.f64 x y) (+.f64 y #s(literal 0 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 x (+.f64 x y)) (+.f64 y #s(literal 0 binary64))) (+.f64 y #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 (+.f64 x y) (+.f64 y #s(literal 0 binary64)) (.f64 x x)) (neg.f64 (+.f64 x (+.f64 x y)))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 y #s(literal 0 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x (+.f64 x y)) (+.f64 y #s(literal 0 binary64)))) (+.f64 (neg.f64 y) #s(literal 0 binary64)))
(/.f64 (fma.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 (+.f64 x y) (+.f64 y #s(literal 0 binary64)) (.f64 x x)) (fma.f64 (+.f64 x y) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (+.f64 x (+.f64 x y)) (neg.f64 y))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))))) (.f64 (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y)))))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (exp.f64 (log.f64 (-.f64 x y))))
(/.f64 (exp.f64 (log.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (exp.f64 (log.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x y)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (exp.f64 (log.f64 (-.f64 y x))))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64))
(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (+.f64 x y) (pow.f64 (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal 1 binary64)))
(*.f64 (+.f64 x y) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (+.f64 x y))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 x x) (.f64 y (-.f64 y x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 (+.f64 x y) (-.f64 x y)))) (exp.f64 (neg.f64 (log.f64 (-.f64 x y)))))
(.f64 (exp.f64 (log.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))))

simplify271.0ms (9.7%)

Memory

-15.9MiB live, 350.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 404×	`lower-fma.f64`
8 404×	`lower-fma.f32`
2 172×	`lower-*.f64`
2 172×	`lower-*.f32`
1 692×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	162
1	102	162
2	231	162
3	691	162
4	1802	162
5	2753	162
6	3810	162
7	4278	162
8	4562	162
9	4657	162
10	6558	162
0	8343	144

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 39

Calls

Call 1

Inputs
y
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* 2 x)
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
y
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

eval28.0ms (1%)

Memory: 22.5MiB live, 60.0MiB allocated
Compiler: Compiled 6 188 to 610 computations (90.1% saved)

prune28.0ms (1%)

Memory

12.2MiB live, 50.2MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	242	2	244
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	243	2	245

Accuracy

100.0%

Counts

245 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 2 binary64) y)
▶	52.1%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.2%)

Memory

-32.3MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal 2 binary64) y)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))

Rules

4×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`lower-+.f32`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	7	12
1	9	12
0	9	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.6%)

Memory

24.8MiB live, 24.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))

Samples

9.0ms

256×

valid

Compiler

Compiled 15 to 7 computations (53.3% saved)

Precisions

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

ival-mult: 2.0ms (58.2% of total)

ival-add: 1.0ms (29.1% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 36

Calls

Call 1

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

Outputs
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt y>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* 2 x)>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt y>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>

Calls

9 calls:

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

rewrite483.0ms (17.3%)

Memory

4.5MiB live, 758.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 200×	`lower-fma.f32`
18 198×	`lower-fma.f64`
4 320×	`lower-*.f32`
4 318×	`lower-*.f64`
3 924×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	7	7
1	22	7
2	153	7
3	1494	7
0	8260	7

Stop Event

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

Counts

2 → 221

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) y)
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) y))
(+.f64 y (*.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (.f64 (neg.f64 y) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y))))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(+.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))
(-.f64 (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 2 binary64) y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 y (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 y y))) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y)) (*.f64 y y))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))))) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))))) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y))) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 y y)))) (neg.f64 (fma.f64 x #s(literal 2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) y)) (neg.f64 (fma.f64 x #s(literal 2 binary64) y)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 y y)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 y y)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (*.f64 y y))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)))))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (.f64 x #s(literal 2 binary64)) y))) (/.f64 (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (.f64 y y)) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (.f64 (.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 (/.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) y))))) (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 2 binary64)) y))) (fma.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y))) (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y)))))) (/.f64 (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y))))) (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 2 binary64)) y))) (fma.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y))) (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (/.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 (/.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) y)))) (fma.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y)) (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y)))) (/.f64 (.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y)))) (fma.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))))
(fma.f64 x #s(literal 2 binary64) y)
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) y))
(fma.f64 x (/.f64 (.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 x (/.f64 (.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 y) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 x (/.f64 (.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y))))
(fma.f64 x (/.f64 (.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 x (/.f64 (.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 y) (/.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)) y)
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) y))
(fma.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x #s(literal -2 binary64) y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 y) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 y) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y))))
(fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (.f64 (neg.f64 y) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(fma.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 y) (/.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(fma.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y))))
(fma.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 y) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(fma.f64 (.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 (.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 y) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(fma.f64 (.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) y))))
(fma.f64 (.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)))
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(.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 y y)))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)))) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)))))
(.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x #s(literal 2 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)))))
(.f64 (fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y) (.f64 (fma.f64 x #s(literal -2 binary64) y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(.f64 (neg.f64 (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y (.f64 x #s(literal 2 binary64))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (.f64 (.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 (/.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) y))))) (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 2 binary64)) y))) (fma.f64 (.f64 y y) (.f64 (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 y (-.f64 (.f64 x #s(literal 2 binary64)) y))) (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y))) (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y)))))))
(.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y)) (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (fma.f64 x #s(literal -2 binary64) y)) (/.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 2 binary64)) y)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (*.f64 y y)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y y))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 y (.f64 x #s(literal 2 binary64))) (.f64 (-.f64 y (.f64 x #s(literal 2 binary64))) (-.f64 y (.f64 x #s(literal 2 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) (fma.f64 (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))) (fma.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))) (.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 y y)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y y))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 y y)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 y y)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)) #s(literal -1/2 binary64)))

simplify225.0ms (8.1%)

Memory

15.2MiB live, 212.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 188×	`lower-/.f32`
4 188×	`lower-/.f64`
3 610×	`associate-/r*`
2 352×	`lower-fma.f64`
2 352×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	64	138
2	141	138
3	395	138
4	1103	138
5	2528	138
6	3417	138
7	4291	138
8	4767	138
9	4942	138
10	5032	138
11	5730	138
12	6046	138
13	6050	138
14	6050	138
15	6050	138
0	8061	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
y
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* 2 x)
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
y
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))

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

eval36.0ms (1.3%)

Memory: -16.9MiB live, 64.2MiB allocated
Compiler: Compiled 8 122 to 522 computations (93.6% saved)

prune29.0ms (1.1%)

Memory

-8.4MiB live, 68.5MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	254	2	256

Accuracy

100.0%

Counts

256 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 2 binary64) y)
✓	52.1%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 25 to 15 computations (40% saved)

regimes6.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(+.f64 (+.f64 x y) x)
(fma.f64 x #s(literal 2 binary64) y)

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

Calls

3 calls:

2.0ms	(+.f64 (+.f64 x y) x)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
(+.f64 (+.f64 x y) x)

Calls

3 calls:

2.0ms	(+.f64 (+.f64 x y) x)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes15.0ms (0.5%)

Memory

-53.3MiB live, 21.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(+.f64 (+.f64 x y) x)
6.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
52.1%	1	`x`
52.1%	1	`y`
52.1%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	10	12

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 2 binary64) y)
(+.f64 (+.f64 x y) x)
(*.f64 x #s(literal 2 binary64))

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

soundness700.0ms (25.1%)

Memory

-22.1MiB live, 92.7MiB allocated

Rules

8 404×	`lower-fma.f64`
8 404×	`lower-fma.f32`
2 172×	`lower-*.f64`
2 172×	`lower-*.f32`
1 692×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	162
1	102	162
2	231	162
3	691	162
4	1802	162
5	2753	162
6	3810	162
7	4278	162
8	4562	162
9	4657	162
10	6558	162
0	8343	144

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 25 to 15 computations (40% saved)

preprocess50.0ms (1.8%)

Memory: 13.3MiB live, 91.6MiB allocated
Compiler: Compiled 56 to 32 computations (42.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4

analyze0.0ms (0%)

sample458.0ms (16.4%)

preprocess26.0ms (0.9%)

explain46.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize15.0ms (0.5%)

series2.0ms (0.1%)

rewrite333.0ms (11.9%)

simplify271.0ms (9.7%)

eval28.0ms (1%)

prune28.0ms (1%)

simplify7.0ms (0.2%)

localize16.0ms (0.6%)

series1.0ms (0.1%)

rewrite483.0ms (17.3%)

simplify225.0ms (8.1%)

eval36.0ms (1.3%)

prune29.0ms (1.1%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes15.0ms (0.5%)

simplify6.0ms (0.2%)

soundness700.0ms (25.1%)

preprocess50.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4