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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample569.0ms (15.2%)

Memory

25.6MiB live, 771.2MiB allocated

Samples

328.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 93.0ms (60.9% of total)

ival-sub: 47.0ms (30.8% of total)

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

exact: 4.0ms (2.6% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

explain56.0ms (1.5%)

Memory

25.0MiB live, 97.5MiB 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

24.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-mult: 4.0ms (57.1% of total)

ival-sub: 2.0ms (28.6% 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

-46.4MiB live, 43.2MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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

13.4MiB live, 13.4MiB 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

localize13.0ms (0.4%)

Memory

16.7MiB live, 16.7MiB 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

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 2.0ms (59.3% of total)

ival-sub: 1.0ms (29.7% 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

4.5MiB live, 4.5MiB 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))

simplify304.0ms (8.1%)

Memory

-16.5MiB live, 59.0MiB 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)

rewrite251.0ms (6.7%)

Memory

2.9MiB live, 242.5MiB 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
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eval96.0ms (2.5%)

Memory: -2.8MiB live, 114.6MiB allocated
Compiler: Compiled 12 573 to 816 computations (93.5% saved)

prune8.0ms (0.2%)

Memory

-5.5MiB live, 33.1MiB 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)
▶	52.4%	#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
▶	48.8%	#s(approx (- (* x 2) y) (neg.f64 y))

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify8.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB 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

localize21.0ms (0.6%)

Memory

13.2MiB live, 48.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	30.451792587754916	#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
accuracy	0	(neg.f64 y)
accuracy	32.77584581875963	#s(approx (- (* x 2) y) (neg.f64 y))

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions

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

ival-mult: 3.0ms (50.5% of total)

ival-sub: 1.0ms (16.8% of total)

ival-neg: 1.0ms (16.8% 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

8.4MiB live, 8.4MiB 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	y	@	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	x	@	0	((- (* x 2) y) (neg y) (- (* x 2) y) (* 2 x))

simplify286.0ms (7.6%)

Memory

-31.8MiB live, 131.8MiB 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	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)

rewrite146.0ms (3.9%)

Memory

31.0MiB live, 206.9MiB 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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval71.0ms (1.9%)

Memory: -39.3MiB live, 73.9MiB allocated
Compiler: Compiled 985 to 206 computations (79.1% saved)

prune6.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB 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)
✓	52.4%	#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
✓	48.8%	#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)

simplify10.0ms (0.3%)

Memory

-22.9MiB live, 15.8MiB 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

23.9MiB live, 23.9MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	62.61055717721051	#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 (60.6% of total)

ival-sub: 1.0ms (30.3% 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

2.6MiB live, 2.6MiB 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	y	@	inf	((- (* x 2) y))
0.0ms	x	@	inf	((- (* x 2) y))
0.0ms	y	@	-inf	((- (* x 2) y))
0.0ms	y	@	0	((- (* x 2) y))

simplify153.0ms (4.1%)

Memory

-11.1MiB live, 108.7MiB 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))

rewrite343.0ms (9.1%)

Memory

11.2MiB live, 161.6MiB 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
#<batchref>

eval2.0ms (0.1%)

Memory: 3.8MiB live, 3.8MiB allocated
Compiler: Compiled 131 to 10 computations (92.4% saved)

prune3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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)
✓	52.4%	#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
✓	48.8%	#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)

regimes198.0ms (5.3%)

Memory

-20.1MiB live, 16.2MiB 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:

191.0ms	(-.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
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)

regimes8.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB 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:

2.0ms	(-.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
76.6%	3	`x`
78.0%	3	`y`
59.6%	4	`(-.f64 (*.f64 x #s(literal 2 binary64)) y)`
76.6%	3	`(*.f64 x #s(literal 2 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes201.0ms (5.3%)

Memory

-19.7MiB live, 19.6MiB 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:

195.0ms	x
2.0ms	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms	(*.f64 x #s(literal 2 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
48.8%	1	`(-.f64 (*.f64 x #s(literal 2 binary64)) y)`
48.8%	1	`x`
48.8%	1	`(*.f64 x #s(literal 2 binary64))`
48.8%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB 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	y
1.0ms	(*.f64 x #s(literal 2 binary64))
1.0ms	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
1.0ms	x

Results

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

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch38.0ms (1%)

Memory

-34.1MiB live, 19.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.8419215734833918e-104	2.6100340954438544e-101
27.0ms	-3.0408508494241702e+78	-5.2219607670265014e+76

Samples

8.0ms

240×

valid

Compiler

Compiled 113 to 175 computations (-54.9% saved)

Precisions

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

ival-mult: 2.0ms (61.8% of total)

ival-sub: 1.0ms (30.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify52.0ms (1.4%)

Memory

5.3MiB live, 44.5MiB 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 -53000000000000001530024301727595722900088632056995581537355364265285021335552 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) (if (<=.f64 y #s(literal 2048904322212513/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632 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 -53000000000000001530024301727595722900088632056995581537355364265285021335552 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) (if (<=.f64 y #s(literal 2048904322212513/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632 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)

soundness795.0ms (21.2%)

Memory

-11.1MiB live, 277.4MiB 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)

preprocess53.0ms (1.4%)

Memory: 0.7MiB live, 73.7MiB 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%)

sample569.0ms (15.2%)

explain56.0ms (1.5%)

preprocess28.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.2%)

localize13.0ms (0.4%)

series3.0ms (0.1%)

simplify304.0ms (8.1%)

rewrite251.0ms (6.7%)

eval96.0ms (2.5%)

prune8.0ms (0.2%)

simplify8.0ms (0.2%)

localize21.0ms (0.6%)

series3.0ms (0.1%)

simplify286.0ms (7.6%)

rewrite146.0ms (3.9%)

eval71.0ms (1.9%)

prune6.0ms (0.1%)

simplify10.0ms (0.3%)

localize12.0ms (0.3%)

series1.0ms (0%)

simplify153.0ms (4.1%)

rewrite343.0ms (9.1%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

regimes198.0ms (5.3%)

regimes8.0ms (0.2%)

regimes201.0ms (5.3%)

regimes6.0ms (0.2%)

bsearch38.0ms (1%)

simplify52.0ms (1.4%)

soundness795.0ms (21.2%)

preprocess53.0ms (1.4%)

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