Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, C

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 7 to 7 computations (0% saved)

sample1.1s (29.1%)

Memory

14.1MiB live, 837.7MiB allocated

Samples

600.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-mult: 88.0ms (57.2% of total)

ival-sub: 53.0ms (34.4% of total)

ival-true: 6.0ms (3.9% of total)

exact: 5.0ms (3.2% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain90.0ms (2.5%)

Memory

-34.6MiB live, 42.0MiB allocated

FPErrors

Click to see full error table

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

18.0ms

512×

valid

Compiler

Compiled 42 to 27 computations (35.7% saved)

Precisions

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

ival-mult: 4.0ms (58.1% of total)

ival-sub: 2.0ms (29% of total)

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

exact: 0.0ms (0% of total)

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

preprocess28.0ms (0.8%)

Memory

-8.1MiB live, 29.8MiB allocated

Algorithm

1×	egg-herbie

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f32`
78×	`lower-*.f64`
44×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	31	25
2	79	25
3	170	25
4	247	25
5	275	25
6	281	25
0	5	5
0	7	5
1	10	5
2	15	5
3	21	5
4	36	5
5	55	5
6	101	5
7	143	5
8	194	5
9	211	5
10	219	5
0	219	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify8.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f32`
78×	`lower-*.f64`
40×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	15	11
3	21	11
4	36	11
5	55	11
6	101	11
7	143	11
8	194	11
9	211	11
10	219	11
0	219	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1.7%)

Memory

-3.0MiB live, 34.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
accuracy	0	(*.f64 x #s(literal 2 binary64))

Samples

57.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 49.0ms (97.1% of total)

ival-sub: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 36

Calls

Call 1

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

Inputs

#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())

#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 2 x) (taylor 0 y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify161.0ms (4.4%)

Memory

11.9MiB live, 92.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 140×	`lower-*.f64`
3 140×	`lower-*.f32`
2 392×	`lower-fma.f64`
2 392×	`lower-fma.f32`
1 872×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	141
1	68	141
2	170	141
3	436	141
4	958	141
5	1948	141
6	3052	141
7	4443	141
8	4919	141
9	5131	141
10	5185	141
11	5944	141
12	6883	141
13	7325	141
14	7907	141
0	8235	141

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

rewrite333.0ms (9.2%)

Memory

7.0MiB live, 315.9MiB allocated

Rules

15 184×	`lower-fma.f64`
15 184×	`lower-fma.f32`
4 068×	`lower-*.f32`
4 066×	`lower-*.f64`
3 436×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	23	8
2	161	8
3	1576	8
0	9355	7

Stop Event

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

Counts

2 → 372

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (.f64 #s(literal -4 binary64) (.f64 x x))))))
(.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 2 binary64))) (-.f64 y (.f64 #s(literal 2 binary64) x)))
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(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))))))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x y)) (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) (.f64 y y)) (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y)))) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (fma.f64 y y (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 #s(literal 2 binary64) x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 #s(literal 2 binary64) x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (.f64 #s(literal 2 binary64) x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 9 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 y y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (.f64 #s(literal 2 binary64) x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 y y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 y y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 9 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 y (.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y (.f64 #s(literal 2 binary64) x))) (-.f64 y (.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x y))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(-.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x y))) (*.f64 y (/.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))))
(-.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y))
(-.f64 (*.f64 #s(literal 2 binary64) x) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x y))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x y))) (.f64 (neg.f64 (/.f64 (.f64 y y) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x y))) (.f64 (neg.f64 (/.f64 (.f64 y y) (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) x y)))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x y))) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x y))) (.f64 (.f64 (neg.f64 y) y) (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x y))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 #s(literal 2 binary64) x y)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #s(literal 3 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (.f64 #s(literal -4 binary64) (*.f64 x x)))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (.f64 (neg.f64 y) (/.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (.f64 (.f64 (neg.f64 y) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))))
(+.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y))
(+.f64 (*.f64 #s(literal 2 binary64) x) y)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))

eval51.0ms (1.4%)

Memory: -0.8MiB live, 103.8MiB allocated
Compiler: Compiled 12 573 to 816 computations (93.5% saved)

prune99.0ms (2.7%)

Memory

-18.2MiB live, 156.8MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	406	2	408
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	406	3	409

Accuracy

100.0%

Counts

409 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
▶	52.6%	#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
▶	48.4%	#s(approx (- (* x 2) y) (neg.f64 y))

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify9.0ms (0.3%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f32`
78×	`lower-*.f64`
40×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	11	25
1	17	25
2	22	25
3	29	25
4	45	25
5	66	25
6	105	25
7	148	25
8	199	25
9	216	25
10	224	25
0	224	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x 2) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

Outputs
#s(approx (- (* x 2) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

localize22.0ms (0.6%)

Memory

-3.1MiB live, 39.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	30.311287950223477	#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
accuracy	0	(neg.f64 y)
accuracy	33.01170846011586	#s(approx (- (* x 2) y) (neg.f64 y))

Samples

16.0ms

256×

valid

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions

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

ival-mult: 4.0ms (59.5% of total)

ival-sub: 1.0ms (14.9% of total)

ival-neg: 1.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* 2 x) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- ( x 2) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify148.0ms (4.1%)

Memory

4.2MiB live, 82.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 140×	`lower-*.f64`
3 140×	`lower-*.f32`
2 392×	`lower-fma.f64`
2 392×	`lower-fma.f32`
1 872×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	270
1	68	270
2	170	270
3	436	270
4	958	270
5	1948	270
6	3052	270
7	4443	270
8	4919	270
9	5131	270
10	5185	270
11	5944	270
12	6883	270
13	7325	270
14	7907	270
0	8235	270

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite155.0ms (4.3%)

Memory

-8.1MiB live, 144.8MiB allocated

Rules

6 618×	`lower-fma.f64`
6 618×	`lower-fma.f32`
3 430×	`lower-/.f64`
3 430×	`lower-/.f32`
3 094×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
0	11	22
1	30	22
2	178	22
3	1773	20
0	9448	18

Stop Event

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

Counts

4 → 68

Calls

Call 1

Inputs
#s(approx (- (* x 2) y) (neg.f64 y))
(neg.f64 y)
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)

Outputs
#s(approx (- (* x 2) y) y)
(*.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(.f64 (.f64 y y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 0 binary64) y) (fma.f64 y y (*.f64 (/.f64 #s(literal 0 binary64) y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 0 binary64) (.f64 y y)) (fma.f64 y y (.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (pow.f64 y #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y y) y)
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(neg.f64 y)
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)) y)
(fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64)) y)
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 #s(literal 0 binary64) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (log.f64 y))
(+.f64 (/.f64 #s(literal 0 binary64) y) y)
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(+.f64 #s(literal 0 binary64) y)
(+.f64 y #s(literal 0 binary64))
y
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x #s(literal 0 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (.f64 #s(literal 4 binary64) x) x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))))
(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))

eval15.0ms (0.4%)

Memory: -10.3MiB live, 27.8MiB allocated
Compiler: Compiled 985 to 206 computations (79.1% saved)

prune10.0ms (0.3%)

Memory

22.8MiB live, 22.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	139	4	143

Accuracy

100.0%

Counts

143 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
✓	52.6%	#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
✓	48.4%	#s(approx (- (* x 2) y) (neg.f64 y))
▶	2.2%	#s(approx (- (* x 2) y) y)

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify21.0ms (0.6%)

Memory

-26.9MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (* x 2) y) y)

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
40×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
0	6	8
1	9	8
2	14	8
3	20	8
4	36	8
5	55	8
6	101	8
7	143	8
8	193	8
9	210	8
10	218	8
0	218	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
#s(approx (- (* x 2) y) y)
y

Outputs
#s(approx (- (* x 2) y) y)
y

localize12.0ms (0.3%)

Memory

20.2MiB live, 20.2MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	62.58165526944043	#s(approx (- (* x 2) y) y)

Samples

8.0ms

256×

valid

Compiler

Compiled 8 to 7 computations (12.5% saved)

Precisions

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

ival-mult: 2.0ms (60.4% of total)

ival-sub: 1.0ms (30.2% 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%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

1 → 24

Calls

Call 1

Inputs
#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())

Outputs
#s(alt (* 2 x) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify146.0ms (4%)

Memory

-0.5MiB live, 76.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 140×	`lower-*.f64`
3 140×	`lower-*.f32`
2 392×	`lower-fma.f64`
2 392×	`lower-fma.f32`
1 872×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	105
1	68	105
2	170	105
3	436	105
4	958	105
5	1948	105
6	3052	105
7	4443	105
8	4919	105
9	5131	105
10	5185	105
11	5944	105
12	6883	105
13	7325	105
14	7907	105
0	8235	105

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite224.0ms (6.2%)

Memory

-18.4MiB live, 176.1MiB allocated

Rules

15 184×	`lower-fma.f64`
15 184×	`lower-fma.f32`
4 068×	`lower-*.f64`
4 068×	`lower-*.f32`
3 436×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
0	6	7
1	22	7
2	160	7
3	1570	7
0	9366	6

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x 2) y) y)

Outputs
#s(approx (- (* x 2) y) y)

eval2.0ms (0.1%)

Memory: 4.5MiB live, 4.5MiB allocated
Compiler: Compiled 131 to 10 computations (92.4% saved)

prune2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	25	4	29

Accuracy

100.0%

Counts

29 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
✓	52.6%	#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
✓	48.4%	#s(approx (- (* x 2) y) (neg.f64 y))
✓	2.2%	#s(approx (- (* x 2) y) y)

Compiler

Compiled 28 to 27 computations (3.6% saved)

regimes10.0ms (0.3%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x 2) y) y)
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes46.0ms (1.3%)

Memory

-13.0MiB live, 31.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (- (* x 2) y) y)
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))

Outputs
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* x 2) y) (neg.f64 y))

Calls

4 calls:

39.0ms	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms	(*.f64 x #s(literal 2 binary64))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
75.1%	3	`x`
76.7%	3	`y`
57.5%	3	`(-.f64 (*.f64 x #s(literal 2 binary64)) y)`
75.1%	3	`(*.f64 x #s(literal 2 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes18.0ms (0.5%)

Memory

-19.7MiB live, 14.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (* x 2) y) y)
#s(approx (- (* x 2) y) (neg.f64 y))

Outputs
#s(approx (- (* x 2) y) (neg.f64 y))

Calls

4 calls:

12.0ms	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms	y
2.0ms	(*.f64 x #s(literal 2 binary64))
2.0ms	x

Results

Accuracy	Segments	Branch
48.4%	1	`(-.f64 (*.f64 x #s(literal 2 binary64)) y)`
48.4%	1	`x`
48.4%	1	`(*.f64 x #s(literal 2 binary64))`
48.4%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x 2) y) y)

Outputs
#s(approx (- (* x 2) y) y)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.2%	1	`x`
2.2%	1	`y`
2.2%	1	`(-.f64 (*.f64 x #s(literal 2 binary64)) y)`
2.2%	1	`(*.f64 x #s(literal 2 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch37.0ms (1%)

Memory

2.9MiB live, 41.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	7.965254649550814e+114	4.048242203215896e+124
10.0ms	-2.065326078047879e-70	-9.334296528793428e-79

Samples

24.0ms

304×

valid

Compiler

Compiled 141 to 219 computations (-55.3% saved)

Precisions

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

ival-sub: 2.0ms (48.5% of total)

ival-mult: 2.0ms (48.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify57.0ms (1.6%)

Memory

-6.7MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	53
1	24	53
2	27	53
3	28	53

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(if (<=.f64 y #s(literal -466240534134175/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) (if (<=.f64 y #s(literal 8000000000000000124475329035734744194145611175368491466958164643446670249318045626119883119320379581409650246942720 binary64)) #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) #s(approx (- ( x 2) y) (neg.f64 y))))
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) y)

Outputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(-.f64 (*.f64 #s(literal 2 binary64) x) y)
(if (<=.f64 y #s(literal -466240534134175/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) (if (<=.f64 y #s(literal 8000000000000000124475329035734744194145611175368491466958164643446670249318045626119883119320379581409650246942720 binary64)) #s(approx (- (* x 2) y) (.f64 #s(literal 2 binary64) x)) #s(approx (- ( x 2) y) (neg.f64 y))))
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) y)

soundness758.0ms (20.9%)

Memory

-1.3MiB live, 196.6MiB allocated

Rules

6 618×	`lower-fma.f64`
6 618×	`lower-fma.f32`
3 430×	`lower-/.f64`
3 430×	`lower-/.f32`
3 140×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	141
1	68	141
2	170	141
3	436	141
4	958	141
5	1948	141
6	3052	141
7	4443	141
8	4919	141
9	5131	141
10	5185	141
11	5944	141
12	6883	141
13	7325	141
14	7907	141
0	8235	141
0	9	22
0	11	22
1	30	22
2	178	22
3	1773	20
0	9448	18

Stop Event

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

Compiler

Compiled 40 to 32 computations (20% saved)

preprocess33.0ms (0.9%)

Memory: 32.3MiB live, 67.9MiB allocated
Compiler: Compiled 66 to 40 computations (39.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	29
1	31	25
2	79	25
3	170	25
4	247	25
5	275	25
6	281	25
0	5	5
0	7	5
1	10	5
2	15	5
3	21	5
4	36	5
5	55	5
6	101	5
7	143	5
8	194	5
9	211	5
10	219	5
0	219	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	15	11
3	21	11
4	36	11
5	55	11
6	101	11
7	143	11
8	194	11
9	211	11
10	219	11
0	219	11

Iter	Nodes	Cost
0	9	25
0	11	25
1	17	25
2	22	25
3	29	25
4	45	25
5	66	25
6	105	25
7	148	25
8	199	25
9	216	25
10	224	25
0	224	25

Iter	Nodes	Cost
0	13	29
1	31	25
2	79	25
3	170	25
4	247	25
5	275	25
6	281	25
0	5	5
0	7	5
1	10	5
2	15	5
3	21	5
4	36	5
5	55	5
6	101	5
7	143	5
8	194	5
9	211	5
10	219	5
0	219	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	15	11
3	21	11
4	36	11
5	55	11
6	101	11
7	143	11
8	194	11
9	211	11
10	219	11
0	219	11

Iter	Nodes	Cost
0	9	25
0	11	25
1	17	25
2	22	25
3	29	25
4	45	25
5	66	25
6	105	25
7	148	25
8	199	25
9	216	25
10	224	25
0	224	25

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (29.1%)

explain90.0ms (2.5%)

preprocess28.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.2%)

localize61.0ms (1.7%)

series3.0ms (0.1%)

simplify161.0ms (4.4%)

rewrite333.0ms (9.2%)

eval51.0ms (1.4%)

prune99.0ms (2.7%)

simplify9.0ms (0.3%)

localize22.0ms (0.6%)

series3.0ms (0.1%)

simplify148.0ms (4.1%)

rewrite155.0ms (4.3%)

eval15.0ms (0.4%)

prune10.0ms (0.3%)

simplify21.0ms (0.6%)

localize12.0ms (0.3%)

series1.0ms (0%)

simplify146.0ms (4%)

rewrite224.0ms (6.2%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes10.0ms (0.3%)

regimes46.0ms (1.3%)

regimes18.0ms (0.5%)

regimes6.0ms (0.2%)

bsearch37.0ms (1%)

simplify57.0ms (1.6%)

soundness758.0ms (20.9%)

preprocess33.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	29
1	31	25
2	79	25
3	170	25
4	247	25
5	275	25
6	281	25
0	5	5
0	7	5
1	10	5
2	15	5
3	21	5
4	36	5
5	55	5
6	101	5
7	143	5
8	194	5
9	211	5
10	219	5
0	219	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	15	11
3	21	11
4	36	11
5	55	11
6	101	11
7	143	11
8	194	11
9	211	11
10	219	11
0	219	11

Iter	Nodes	Cost
0	9	25
0	11	25
1	17	25
2	22	25
3	29	25
4	45	25
5	66	25
6	105	25
7	148	25
8	199	25
9	216	25
10	224	25
0	224	25