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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample974.0ms (29.1%)

Memory

-18.0MiB live, 507.8MiB allocated

Samples

757.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-mult: 186.0ms (52.8% of total)

ival-add: 151.0ms (42.9% of total)

ival-true: 7.0ms (2% of total)

exact: 4.0ms (1.1% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain76.0ms (2.3%)

Memory

-10.9MiB live, 65.5MiB allocated

FPErrors

Click to see full error table

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

53.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-add: 3.0ms (40.1% of total)

ival-mult: 3.0ms (40.1% of total)

ival-true: 1.0ms (13.4% of total)

exact: 0.0ms (0% of total)

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

preprocess132.0ms (4%)

Memory

6.7MiB live, 44.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	57	27
2	162	25
3	388	25
4	514	25
5	615	25
6	620	25
0	5	5
0	7	5
1	17	5
2	21	5
3	34	5
4	34	5
0	34	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y #s(literal 1 binary64))
cost-diff	128	(*.f64 x (+.f64 y #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	17	11
2	21	11
3	34	11
4	34	11
0	34	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (1.2%)

Memory

-24.5MiB live, 21.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 x (+.f64 y #s(literal 1 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 28.0ms (93.3% of total)

ival-mult: 2.0ms (6.7% 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

2.8MiB live, 2.8MiB allocated

Counts

2 → 36

Calls

Call 1

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

Inputs

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

#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

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

simplify337.0ms (10.1%)

Memory

25.4MiB live, 102.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	142
1	63	142
2	136	142
3	336	142
4	1268	142
5	2642	142
6	3266	142
7	3557	142
8	3733	142
9	3767	142
10	4347	142
11	5640	142
12	6396	142
13	6645	142
14	6701	142
15	6701	142
16	7189	142
17	7285	142
18	7437	142
19	7497	142
0	8093	121

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

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

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

rewrite455.0ms (13.6%)

Memory

-32.2MiB live, 218.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	30	8
2	173	8
3	1266	8
0	8426	7

Stop Event

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

Counts

2 → 279

Calls

Call 1

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

Outputs
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eval39.0ms (1.2%)

Memory: 24.0MiB live, 59.3MiB allocated
Compiler: Compiled 6 423 to 807 computations (87.4% saved)

prune7.0ms (0.2%)

Memory

-16.8MiB live, 20.4MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	310	3	313

Accuracy

100.0%

Counts

313 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x x)
▶	51.7%	(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64)))
▶	51.3%	#s(approx (* x (+ y 1)) (*.f64 y x))

Compiler

Compiled 12 to 12 computations (0% saved)

simplify4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
0	13	33
1	25	33
2	25	33
3	44	33
4	44	33
0	44	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.7%)

Memory

8.8MiB live, 43.6MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x x)
accuracy	0.0078125	(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64)))
accuracy	31.09293722475613	#s(approx (+ y 1) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	31.140782069204995	#s(approx (* x (+ y 1)) (*.f64 y x))

Samples

18.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-add: 3.0ms (47.6% of total)

ival-mult: 3.0ms (47.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt #s(approx (* x (+ y 1)) (.f64 y x)) (patch #s(approx ( x (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ y 1) #s(literal 1 binary64)) (patch #s(approx (+ y 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())

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

Calls

6 calls:

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

simplify166.0ms (5%)

Memory

-14.0MiB live, 111.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	438
1	74	438
2	162	438
3	389	438
4	1416	438
5	2597	438
6	3130	438
7	3458	438
8	3618	438
9	3624	438
10	4475	438
11	5777	438
12	6911	438
13	7598	438
14	7637	438
15	7649	438
0	8329	375

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 103

Calls

Call 1

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

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

rewrite184.0ms (5.5%)

Memory

-9.3MiB live, 298.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	13	27
1	50	27
2	292	27
3	2641	27
0	9223	27

Stop Event

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

Counts

5 → 177

Calls

Call 1

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

Outputs
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval63.0ms (1.9%)

Memory: -5.1MiB live, 122.2MiB allocated
Compiler: Compiled 4 698 to 510 computations (89.1% saved)

prune8.0ms (0.2%)

Memory

-2.6MiB live, 36.8MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	280	3	283

Accuracy

100.0%

Counts

283 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x x)
✓	51.7%	(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64)))
✓	51.3%	#s(approx (* x (+ y 1)) (*.f64 y x))

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes10.0ms (0.3%)

Memory

4.6MiB live, 44.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x x)

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 x (+.f64 y #s(literal 1 binary64)))
2.0ms	y
2.0ms	(+.f64 y #s(literal 1 binary64))

Results

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

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes8.0ms (0.3%)

Memory

-12.2MiB live, 32.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 x (+.f64 y #s(literal 1 binary64)))
2.0ms	y
1.0ms	(+.f64 y #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
61.2%	3	`x`
98.9%	3	`y`
84.2%	3	`(*.f64 x (+.f64 y #s(literal 1 binary64)))`
98.9%	3	`(+.f64 y #s(literal 1 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* x (+ y 1)) (*.f64 y x))

Outputs
#s(approx (* x (+ y 1)) (*.f64 y x))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.3%	1	`x`
51.3%	1	`(*.f64 x (+.f64 y #s(literal 1 binary64)))`
51.3%	1	`y`
51.3%	1	`(+.f64 y #s(literal 1 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.001228951317832	29957030.924406834
0.0ms	-478775.70834929217	1.0

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify33.0ms (1%)

Memory

-19.1MiB live, 59.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	23	50

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 y x x)

(if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -400000 binary64)) #s(approx (* x (+ y 1)) (*.f64 y x)) (if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #s(approx (* x (+ y 1)) (*.f64 y x))))

#s(approx (* x (+ y 1)) (*.f64 y x))

Outputs
(fma.f64 y x x)
(if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -400000 binary64)) #s(approx (* x (+ y 1)) (.f64 y x)) (if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #s(approx (* x (+ y 1)) (*.f64 y x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -400000 binary64)) #s(approx (* x (+ y 1)) (.f64 x y)) (if (<=.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x) #s(approx (* x (+ y 1)) (*.f64 x y))))
#s(approx (* x (+ y 1)) (*.f64 y x))
#s(approx (* x (+ y 1)) (*.f64 x y))

soundness713.0ms (21.3%)

Memory

11.7MiB live, 203.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	30	8
2	173	8
3	1266	8
0	8426	7
0	19	142
1	63	142
2	136	142
3	336	142
4	1268	142
5	2642	142
6	3266	142
7	3557	142
8	3733	142
9	3767	142
10	4347	142
11	5640	142
12	6396	142
13	6645	142
14	6701	142
15	6701	142
16	7189	142
17	7285	142
18	7437	142
19	7497	142
0	8093	121

Stop Event

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

Compiler

Compiled 50 to 31 computations (38% saved)

preprocess56.0ms (1.7%)

Memory: 7.0MiB live, 88.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 100 to 60 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	31
1	57	27
2	162	25
3	388	25
4	514	25
5	615	25
6	620	25
0	5	5
0	7	5
1	17	5
2	21	5
3	34	5
4	34	5
0	34	4

Iter	Nodes	Cost
0	13	31
1	57	27
2	162	25
3	388	25
4	514	25
5	615	25
6	620	25
0	5	5
0	7	5
1	17	5
2	21	5
3	34	5
4	34	5
0	34	4

start0.0ms (0%)

analyze0.0ms (0%)

sample974.0ms (29.1%)

explain76.0ms (2.3%)

preprocess132.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize40.0ms (1.2%)

series3.0ms (0.1%)

simplify337.0ms (10.1%)

rewrite455.0ms (13.6%)

eval39.0ms (1.2%)

prune7.0ms (0.2%)

simplify4.0ms (0.1%)

localize24.0ms (0.7%)

series6.0ms (0.2%)

simplify166.0ms (5%)

rewrite184.0ms (5.5%)

eval63.0ms (1.9%)

prune8.0ms (0.2%)

regimes10.0ms (0.3%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

bsearch1.0ms (0%)

simplify33.0ms (1%)

soundness713.0ms (21.3%)

preprocess56.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	31
1	57	27
2	162	25
3	388	25
4	514	25
5	615	25
6	620	25
0	5	5
0	7	5
1	17	5
2	21	5
3	34	5
4	34	5
0	34	4