Metrics for Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 9 to 8 computations (11.1% saved)

sample776.0ms (22.1%)

Memory

48.8MiB live, 1 015.6MiB allocated

Samples

408.0ms	7 600×	0	valid
59.0ms	309×	1	valid
27.0ms	197×	2	valid
23.0ms	150×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

ival-div: 120.0ms (39.6% of total)

ival-add: 77.0ms (25.4% of total)

ival-sub: 72.0ms (23.8% of total)

adjust: 20.0ms (6.6% of total)

ival-true: 6.0ms (2% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain101.0ms (2.9%)

Memory

-37.1MiB live, 72.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (-.f64 x y) #s(literal 2 binary64))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
-	-	`(-.f64 x y)`
-	-	`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

35.0ms	482×	0	valid
1.0ms	8×	3	valid
1.0ms	10×	2	valid
1.0ms	12×	1	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 4.0ms (34.1% of total)

ival-sub: 3.0ms (25.6% of total)

ival-add: 3.0ms (25.6% of total)

adjust: 1.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess55.0ms (1.6%)

Memory

15.7MiB live, 52.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	687	35
5	871	35
6	918	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	282	7
7	442	7
8	573	7
9	643	7
10	647	7
0	647	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify21.0ms (0.6%)

Memory

-19.1MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	128	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (-.f64 x y) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	282	18
7	442	18
8	573	18
9	643	18
10	647	18
0	647	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.5%)

Memory

27.4MiB live, 27.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy	0.0	(-.f64 x y)
accuracy	0.07421875	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Samples

10.0ms	241×	0	valid
1.0ms	5×	2	valid
1.0ms	4×	3	valid
1.0ms	6×	1	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (34.6% of total)

ival-sub: 2.0ms (34.6% of total)

ival-add: 1.0ms (17.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory

-31.2MiB live, 5.8MiB allocated

Counts

3 → 23

Calls

Call 1

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

Outputs
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1 y)
(- x y)
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (/ y x) 1)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (* -1 y))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (/ x y) 1))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

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

simplify162.0ms (4.6%)

Memory

26.3MiB live, 107.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	110
1	176	110
2	485	110
3	1364	100
4	3076	100
5	4873	100
6	6997	100
0	8063	94

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1 y)
(- x y)
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (/ y x) 1)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (* -1 y))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (/ x y) 1))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+ x (* -1 y))
(-.f64 x y)
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite296.0ms (8.4%)

Memory

2.4MiB live, 161.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	48	15
2	400	15
3	5097	15
0	8170	14

Stop Event

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

Counts

3 → 353

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (-.f64 x y))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (*.f64 (+.f64 y x) y)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -2 binary64) y)) #s(literal 1/4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(literal 2 binary64))))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 (-.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1/2 binary64)) (+.f64 y x))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1/2 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64))) (+.f64 y x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
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(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) (neg.f64 x))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x x) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x)))
(-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) (neg.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (+.f64 y x) y)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))
(.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 (-.f64 x y) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (.f64 x x))) (+.f64 y x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 y x) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(neg.f64 (-.f64 y x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (+.f64 y x) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))) (-.f64 x y) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (neg.f64 y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 x (/.f64 x (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(+.f64 x (neg.f64 y))

eval77.0ms (2.2%)

Memory: 0.7MiB live, 73.6MiB allocated
Compiler: Compiled 7 060 to 1 134 computations (83.9% saved)

prune50.0ms (1.4%)

Memory

-12.7MiB live, 34.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	356	4	360
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	357	4	361

Accuracy

100.0%

Counts

361 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	58.4%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
▶	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶	51.4%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Compiler

Compiled 42 to 34 computations (19% saved)

simplify41.0ms (1.2%)

Memory

-10.6MiB live, 28.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
cost-diff	128	(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
cost-diff	0	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	81
0	24	81
1	38	81
2	56	81
3	97	81
4	177	81
5	336	79
6	671	79
7	835	79
8	862	79
9	882	79
10	898	79
11	901	79
0	901	79

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
#s(literal 3/2 binary64)
x
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
x
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(-.f64 y x)
y
x
#s(literal -1/2 binary64)

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
#s(literal 3/2 binary64)
x
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x)
x
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(-.f64 y x)
y
x
#s(literal -1/2 binary64)

localize47.0ms (1.3%)

Memory

-1.1MiB live, 73.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.07421875	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.07421875	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
accuracy	32.05268351416926	#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.0	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
accuracy	0.0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	31.12394169048708	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Samples

30.0ms	241×	0	valid
2.0ms	4×	3	valid
1.0ms	5×	2	valid
1.0ms	6×	1	valid

Compiler

Compiled 147 to 33 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sub: 10.0ms (45.2% of total)

ival-mult: 5.0ms (22.6% of total)

ival-add: 4.0ms (18.1% of total)

ival-div: 2.0ms (9% of total)

adjust: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

9 → 25

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(-.f64 y x)

Outputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(+ (* -1/2 y) (* 1/2 x))
y
(+ y (* -1 x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(- y x)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (- (/ x y) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ x (/ (- x y) 2)) (* 3/2 x) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	inf	((+ x (/ (- x y) 2)) (* 3/2 x) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	inf	((+ x (/ (- x y) 2)) (* 3/2 x) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	0	((+ x (/ (- x y) 2)) (* 3/2 x) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	-inf	((+ x (/ (- x y) 2)) (* 3/2 x) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (* -1/2 y) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))

simplify127.0ms (3.6%)

Memory

7.6MiB live, 89.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	124
1	200	124
2	552	124
3	1579	114
4	3585	114
5	4991	114
6	7185	114
0	8041	106

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(+ (* -1/2 y) (* 1/2 x))
y
(+ y (* -1 x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(- y x)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (- (/ x y) 1)))

Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
y
(+ y (* -1 x))
(-.f64 y x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(- y x)
(-.f64 y x)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite225.0ms (6.4%)

Memory

-11.9MiB live, 302.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	24	66
1	111	66
2	923	64
0	8887	64

Stop Event

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

Counts

9 → 275

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(-.f64 y x)

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 x #s(literal 3/2 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 #s(literal -9/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 #s(literal -1/4 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
(.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 x #s(literal -3/4 binary64))))))))
(.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 #s(literal -1/4 binary64) (.f64 y y))) (pow.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal 3/2 binary64) x)))
(.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 x #s(literal -3/4 binary64))))) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal 3/2 binary64) x)) (pow.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (*.f64 x #s(literal -3/4 binary64))))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 x (-.f64 (.f64 #s(literal 9/4 binary64) x) (.f64 #s(literal -3/4 binary64) y))))))
(.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 x #s(literal -3/4 binary64))))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal 3/2 binary64) x)) (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)))) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))))) (+.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) (.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 #s(literal -9/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 #s(literal -1/4 binary64) (.f64 y y))))) (neg.f64 (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (*.f64 x #s(literal -3/4 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 #s(literal -9/4 binary64) (.f64 x x))) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 #s(literal -1/4 binary64) (.f64 y y)))) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 x (-.f64 (.f64 #s(literal 9/4 binary64) x) (*.f64 #s(literal -3/4 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (*.f64 x #s(literal -3/4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))))
(/.f64 (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 #s(literal -1/4 binary64) (.f64 y y))) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x)) (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 #s(literal -9/4 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 x (-.f64 (.f64 #s(literal 9/4 binary64) x) (.f64 #s(literal -3/4 binary64) y)))) (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 x (-.f64 (.f64 #s(literal 9/4 binary64) x) (*.f64 #s(literal -3/4 binary64) y)))))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 9/4 binary64) x) x (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) (*.f64 x #s(literal -3/4 binary64))))))
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(-.f64 (+.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(+.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (+.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -1/2 binary64) y))
(+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 x y))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) y x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) x x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (-.f64 y x) (pow.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x))) (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))) (+.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)) (fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)) (.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (neg.f64 x) y))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(neg.f64 (-.f64 x y))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (+.f64 y x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))))
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 (neg.f64 x) (neg.f64 y))
(-.f64 y x)
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) (+.f64 y x))) (/.f64 (.f64 y y) (+.f64 y x)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(+.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(+.f64 (/.f64 (.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval56.0ms (1.6%)

Memory: 1.6MiB live, 75.5MiB allocated
Compiler: Compiled 6 941 to 840 computations (87.9% saved)

prune6.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	292	5	297

Accuracy

100.0%

Counts

297 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	58.4%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
✓	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	51.4%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
▶	49.8%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 53 to 43 computations (18.9% saved)

simplify40.0ms (1.1%)

Memory

-16.6MiB live, 29.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	17	16
2	28	16
3	49	16
4	87	16
5	157	16
6	285	16
7	445	16
8	577	16
9	647	16
10	651	16
0	651	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.6%)

Memory

7.4MiB live, 44.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	32.10320429127074	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Samples

16.0ms	241×	0	valid
1.0ms	4×	3	valid
1.0ms	5×	2	valid
1.0ms	6×	1	valid

Compiler

Compiled 30 to 19 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 3.0ms (34.8% of total)

ival-div: 2.0ms (23.2% of total)

ival-mult: 2.0ms (23.2% of total)

ival-add: 1.0ms (11.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 9

Calls

Call 1

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

Outputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))

Calls

6 calls:

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

simplify126.0ms (3.6%)

Memory

-21.3MiB live, 117.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	51
1	88	51
2	243	51
3	583	51
4	1722	51
5	4834	51
6	6645	51
0	8049	45

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))

Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))

rewrite145.0ms (4.1%)

Memory

21.2MiB live, 213.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
0	10	14
1	50	14
2	401	14
3	5100	14
0	8172	13

Stop Event

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

Counts

2 → 12

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 1.8MiB live, 1.8MiB allocated
Compiler: Compiled 172 to 44 computations (74.4% saved)

prune3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	14	5	19

Accuracy

100.0%

Counts

19 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	58.4%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
✓	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	51.4%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	49.8%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 113 to 65 computations (42.5% saved)

regimes30.0ms (0.8%)

Memory

-29.7MiB live, 8.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))

Calls

3 calls:

24.0ms	x
3.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)

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

Calls

3 calls:

2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms	x
2.0ms	y

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

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

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Calls

3 calls:

2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
82.7%	3	`x`
77.7%	3	`y`
63.0%	2	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
81.6%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
49.8%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
49.8%	1	`y`
49.8%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch18.0ms (0.5%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.8537279757795364e-34	5.156126720970749e-34
9.0ms	-7.877050355248102e+37	-3.3394567749424197e+36

Samples

7.0ms	172×	0	valid
1.0ms	8×	2	valid
1.0ms	11×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 274 to 251 computations (8.4% saved)

Precisions

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

ival-div: 1.0ms (22% of total)

ival-sub: 1.0ms (22% of total)

ival-add: 1.0ms (22% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch34.0ms (1%)

Memory

-23.8MiB live, 13.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.8537279757795364e-34	5.156126720970749e-34
32.0ms	-1.4093867950977207e-46	-1.9134192189231563e-57

Samples

24.0ms	147×	0	valid
1.0ms	8×	2	valid
0.0ms	5×	1	valid

Compiler

Compiled 340 to 311 computations (8.5% saved)

Precisions

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

ival-div: 1.0ms (26.9% of total)

ival-add: 1.0ms (26.9% of total)

ival-sub: 1.0ms (26.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify65.0ms (1.9%)

Memory

9.4MiB live, 49.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	93
1	41	93
2	55	93
3	77	93
4	122	93
5	212	93
6	391	93
7	1012	93
8	3207	93
9	5677	93

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -6999999999999999559074698669743669248 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 4676805239458889/11692013098647223345629478661730264157247460343808 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -336999333339383/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 4676805239458889/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -6999999999999999559074698669743669248 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 4676805239458889/11692013098647223345629478661730264157247460343808 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (or (<=.f64 x #s(literal -6999999999999999559074698669743669248 binary64)) (not (<=.f64 x #s(literal 4676805239458889/11692013098647223345629478661730264157247460343808 binary64)))) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y))))
(if (<=.f64 x #s(literal -336999333339383/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 4676805239458889/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (or (<=.f64 x #s(literal -336999333339383/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (not (<=.f64 x #s(literal 4676805239458889/11692013098647223345629478661730264157247460343808 binary64)))) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

soundness887.0ms (25.3%)

Memory

2.5MiB live, 407.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	124
1	200	124
2	552	124
3	1579	114
4	3585	114
5	4991	114
6	7185	114
0	8041	106
0	58	110
1	176	110
2	485	110
3	1364	100
4	3076	100
5	4873	100
6	6997	100
0	8063	94
0	6	15
0	9	15
1	48	15
2	400	15
3	5097	15
0	8170	14

Stop Event

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

Compiler

Compiled 135 to 73 computations (45.9% saved)

preprocess51.0ms (1.5%)

Memory: 11.1MiB live, 94.7MiB allocated
Compiler: Compiled 214 to 84 computations (60.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	687	35
5	871	35
6	918	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	282	7
7	442	7
8	573	7
9	643	7
10	647	7
0	647	6

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	282	18
7	442	18
8	573	18
9	643	18
10	647	18
0	647	17

Iter	Nodes	Cost
0	17	81
0	24	81
1	38	81
2	56	81
3	97	81
4	177	81
5	336	79
6	671	79
7	835	79
8	862	79
9	882	79
10	898	79
11	901	79
0	901	79

Iter	Nodes	Cost
0	9	16
0	10	16
1	17	16
2	28	16
3	49	16
4	87	16
5	157	16
6	285	16
7	445	16
8	577	16
9	647	16
10	651	16
0	651	15

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	687	35
5	871	35
6	918	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	282	7
7	442	7
8	573	7
9	643	7
10	647	7
0	647	6

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	282	18
7	442	18
8	573	18
9	643	18
10	647	18
0	647	17

Iter	Nodes	Cost
0	17	81
0	24	81
1	38	81
2	56	81
3	97	81
4	177	81
5	336	79
6	671	79
7	835	79
8	862	79
9	882	79
10	898	79
11	901	79
0	901	79

Iter	Nodes	Cost
0	9	16
0	10	16
1	17	16
2	28	16
3	49	16
4	87	16
5	157	16
6	285	16
7	445	16
8	577	16
9	647	16
10	651	16
0	651	15

start0.0ms (0%)

analyze0.0ms (0%)

sample776.0ms (22.1%)

explain101.0ms (2.9%)

preprocess55.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.6%)

localize17.0ms (0.5%)

series6.0ms (0.2%)

simplify162.0ms (4.6%)

rewrite296.0ms (8.4%)

eval77.0ms (2.2%)

prune50.0ms (1.4%)

simplify41.0ms (1.2%)

localize47.0ms (1.3%)

series6.0ms (0.2%)

simplify127.0ms (3.6%)

rewrite225.0ms (6.4%)

eval56.0ms (1.6%)

prune6.0ms (0.2%)

simplify40.0ms (1.1%)

localize23.0ms (0.6%)

series2.0ms (0%)

simplify126.0ms (3.6%)

rewrite145.0ms (4.1%)

eval2.0ms (0%)

prune3.0ms (0.1%)

regimes30.0ms (0.8%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch18.0ms (0.5%)

bsearch34.0ms (1%)

simplify65.0ms (1.9%)

soundness887.0ms (25.3%)

preprocess51.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	687	35
5	871	35
6	918	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	282	7
7	442	7
8	573	7
9	643	7
10	647	7
0	647	6

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	282	18
7	442	18
8	573	18
9	643	18
10	647	18
0	647	17

Iter	Nodes	Cost
0	17	81
0	24	81
1	38	81
2	56	81
3	97	81
4	177	81
5	336	79
6	671	79
7	835	79
8	862	79
9	882	79
10	898	79
11	901	79
0	901	79

Iter	Nodes	Cost
0	9	16
0	10	16
1	17	16
2	28	16
3	49	16
4	87	16
5	157	16
6	285	16
7	445	16
8	577	16
9	647	16
10	651	16
0	651	15