Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, D

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample617.0ms (17.1%)

Memory

32.9MiB live, 892.2MiB allocated

Samples

364.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-div: 102.0ms (65.2% of total)

ival-sub: 40.0ms (25.6% of total)

ival-true: 6.0ms (3.8% of total)

exact: 5.0ms (3.2% of total)

ival-assert: 4.0ms (2.6% of total)

Bogosity

explain54.0ms (1.5%)

Memory

18.9MiB live, 105.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`#s(literal 200 binary64)`
-	-	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
-	-	`(/.f64 y #s(literal 200 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

22.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

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

ival-div: 6.0ms (64.8% of total)

ival-sub: 2.0ms (21.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess26.0ms (0.7%)

Memory

-31.2MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))

Outputs
(fma.f64 #s(literal -1/200 binary64) y x)

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 x (/.f64 y #s(literal 200 binary64)))

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	128	(-.f64 x (/.f64 y #s(literal 200 binary64)))
cost-diff	384	(/.f64 y #s(literal 200 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
x
(/.f64 y #s(literal 200 binary64))
y
#s(literal 200 binary64)

Outputs
(fma.f64 #s(literal -1/200 binary64) y x)
x
(*.f64 #s(literal 1/200 binary64) y)
y
#s(literal 200 binary64)

localize28.0ms (0.8%)

Memory

-46.4MiB live, 27.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 200 binary64))
accuracy	0.015625	(-.f64 x (/.f64 y #s(literal 200 binary64)))

Samples

22.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 14.0ms (88.5% of total)

ival-sub: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((/ y 200) (- x (/ y 200)))
1.0ms	y	@	-inf	((/ y 200) (- x (/ y 200)))
0.0ms	x	@	-inf	((/ y 200) (- x (/ y 200)))
0.0ms	y	@	0	((/ y 200) (- x (/ y 200)))
0.0ms	x	@	0	((/ y 200) (- x (/ y 200)))

simplify168.0ms (4.7%)

Memory

27.8MiB live, 139.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	1251	138
5	2461	138
6	3262	138
7	3598	138
8	3894	138
9	4077	138
10	5218	138
11	6014	138
12	6782	138
13	7050	138
14	7830	138
0	8366	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))

Outputs
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)

rewrite151.0ms (4.2%)

Memory

-16.8MiB live, 254.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	32	8
2	248	8
3	4067	8
0	8164	7

Stop Event

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

Counts

2 → 130

Calls

Call 1

Inputs
(/.f64 y #s(literal 200 binary64))
(-.f64 x (/.f64 y #s(literal 200 binary64)))

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>
#<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>

eval17.0ms (0.5%)

Memory: 35.8MiB live, 35.8MiB allocated
Compiler: Compiled 2 811 to 402 computations (85.7% saved)

prune6.0ms (0.2%)

Memory

-24.5MiB live, 13.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	159	4	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	5	164

Accuracy

100.0%

Counts

164 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
▶	49.9%	(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	99.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
▶	51.8%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 38 to 33 computations (13.2% saved)

simplify75.0ms (2.1%)

Memory

4.2MiB live, 46.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal -1/200 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
cost-diff	0	(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
cost-diff	0	(/.f64 #s(literal 200 binary64) y)
cost-diff	128	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
cost-diff	0	(*.f64 #s(literal -1/200 binary64) y)
cost-diff	0	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	75
0	33	72
1	49	70
2	71	70
3	91	70
4	118	69
5	161	69
6	214	69
7	257	69
8	357	69
9	432	69
10	650	69
11	1465	69
12	1809	69
13	1940	69
14	1944	69
15	1952	69
16	1952	69
17	2120	69
18	2624	69
0	2624	69

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
#s(literal -1/200 binary64)
y
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
#s(literal 1 binary64)
(/.f64 #s(literal 200 binary64) y)
#s(literal 200 binary64)
y
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(*.f64 y y)
y
#s(literal -1/40000 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 1/200 binary64) y x)
#s(literal 1/200 binary64)
(fma.f64 y #s(literal -1/200 binary64) x)
y
#s(literal -1/200 binary64)
x

Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
#s(literal -1/200 binary64)
y
(fma.f64 #s(literal -1/200 binary64) y x)
x
(*.f64 #s(literal 1/200 binary64) y)
#s(literal 1 binary64)
(/.f64 #s(literal 200 binary64) y)
#s(literal 200 binary64)
y
(/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
(fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x))
(*.f64 y y)
y
#s(literal -1/40000 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 1/200 binary64) y x)
#s(literal 1/200 binary64)
(fma.f64 #s(literal -1/200 binary64) y x)
y
#s(literal -1/200 binary64)
x

localize73.0ms (2%)

Memory

14.0MiB live, 127.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.078125	(fma.f64 y #s(literal -1/200 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0.07421875	(fma.f64 #s(literal 1/200 binary64) y x)
accuracy	4.585916858302059	(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
accuracy	31.68219242960025	(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
accuracy	0	(/.f64 #s(literal 200 binary64) y)
accuracy	0.015625	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
accuracy	0.30859375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
accuracy	0.14453125	(*.f64 #s(literal -1/200 binary64) y)
accuracy	30.75655667461661	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Samples

54.0ms

256×

valid

Compiler

Compiled 153 to 45 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

const: 13.0ms (33.2% of total)

ival-mult: 12.0ms (30.7% of total)

ival-div: 7.0ms (17.9% of total)

ival-add: 4.0ms (10.2% of total)

ival-sub: 3.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (1.5%)

Memory

-31.1MiB live, 32.4MiB allocated

Counts

11 → 204

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((- x (/ y 200)) (* -1/200 y) (/ 1 (/ 200 y)) (- x (/ 1 (/ 200 y))) (/ 200 y) (/ (+ (* (* y y) -1/40000) (* x x)) (+ (* 1/200 y) x)) (+ (* (* y y) -1/40000) (* x x)) (* y y) (* x x) (+ (* y -1/200) x) (+ (* 1/200 y) x))
2.0ms	y	@	0	((- x (/ y 200)) (* -1/200 y) (/ 1 (/ 200 y)) (- x (/ 1 (/ 200 y))) (/ 200 y) (/ (+ (* (* y y) -1/40000) (* x x)) (+ (* 1/200 y) x)) (+ (* (* y y) -1/40000) (* x x)) (* y y) (* x x) (+ (* y -1/200) x) (+ (* 1/200 y) x))
2.0ms	y	@	-inf	((- x (/ y 200)) (* -1/200 y) (/ 1 (/ 200 y)) (- x (/ 1 (/ 200 y))) (/ 200 y) (/ (+ (* (* y y) -1/40000) (* x x)) (+ (* 1/200 y) x)) (+ (* (* y y) -1/40000) (* x x)) (* y y) (* x x) (+ (* y -1/200) x) (+ (* 1/200 y) x))
1.0ms	x	@	inf	((- x (/ y 200)) (* -1/200 y) (/ 1 (/ 200 y)) (- x (/ 1 (/ 200 y))) (/ 200 y) (/ (+ (* (* y y) -1/40000) (* x x)) (+ (* 1/200 y) x)) (+ (* (* y y) -1/40000) (* x x)) (* y y) (* x x) (+ (* y -1/200) x) (+ (* 1/200 y) x))
1.0ms	x	@	-inf	((- x (/ y 200)) (* -1/200 y) (/ 1 (/ 200 y)) (- x (/ 1 (/ 200 y))) (/ 200 y) (/ (+ (* (* y y) -1/40000) (* x x)) (+ (* 1/200 y) x)) (+ (* (* y y) -1/40000) (* x x)) (* y y) (* x x) (+ (* y -1/200) x) (+ (* 1/200 y) x))

simplify203.0ms (5.6%)

Memory

24.4MiB live, 99.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	876
1	136	876
2	342	876
3	1016	876
4	2690	876
5	6027	876
0	8091	768

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 189

Calls

Call 1

Inputs
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(pow x 2)
(+ (* -1/40000 (pow y 2)) (pow x 2))
(+ (* -1/40000 (pow y 2)) (pow x 2))
(+ (* -1/40000 (pow y 2)) (pow x 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
x
(+ x (* 1/200 y))
(+ x (* 1/200 y))
(+ x (* 1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/40000 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* 1/200 y)
(* y (+ 1/200 (/ x y)))
(* y (+ 1/200 (/ x y)))
(* y (+ 1/200 (/ x y)))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/40000 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* 1/200 y)
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
(* -1/200 y)
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/40000 (pow y 2))
(+ (* -1/40000 (pow y 2)) (pow x 2))
(+ (* -1/40000 (pow y 2)) (pow x 2))
(+ (* -1/40000 (pow y 2)) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/200 y)
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* 1/200 y)
(+ x (* 1/200 y))
(+ x (* 1/200 y))
(+ x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* x (+ 1 (* 1/200 (/ y x))))
(* x (+ 1 (* 1/200 (/ y x))))
(* x (+ 1 (* 1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(* -1 (* x (- (* -1/200 (/ y x)) 1)))
(* -1 (* x (- (* -1/200 (/ y x)) 1)))
(* -1 (* x (- (* -1/200 (/ y x)) 1)))

Outputs
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(/.f64 #s(literal 200 binary64) y)
(/.f64 #s(literal 200 binary64) y)
(/.f64 #s(literal 200 binary64) y)
(/.f64 #s(literal 200 binary64) y)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 x x)
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(/.f64 #s(literal 200 binary64) y)
(/.f64 #s(literal 200 binary64) y)
(/.f64 #s(literal 200 binary64) y)
(/.f64 #s(literal 200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(.f64 (.f64 y y) #s(literal -1/40000 binary64))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal 1/200 binary64) y)
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(/.f64 #s(literal 200 binary64) y)
(/.f64 #s(literal 200 binary64) y)
(/.f64 #s(literal 200 binary64) y)
(/.f64 #s(literal 200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(.f64 (.f64 y y) #s(literal -1/40000 binary64))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal 1/200 binary64) y)
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(.f64 (.f64 y y) #s(literal -1/40000 binary64))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal 1/200 binary64) y)
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 x x)
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 x x)
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)
(fma.f64 #s(literal 1/200 binary64) y x)

rewrite176.0ms (4.9%)

Memory

-4.2MiB live, 183.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	62
0	33	51
1	132	47
2	929	47
0	8775	47

Stop Event

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

Counts

11 → 735

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
(/.f64 #s(literal 200 binary64) y)
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(*.f64 y y)
(*.f64 x x)
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 #s(literal 1/200 binary64) y x)

Outputs
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eval240.0ms (6.7%)

Memory: -0.9MiB live, 241.6MiB allocated
Compiler: Compiled 19 707 to 1 133 computations (94.3% saved)

prune25.0ms (0.7%)

Memory

-1.3MiB live, 73.7MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	923	1	924
Fresh	0	0	0
Picked	0	4	4
Done	1	0	1
Total	924	5	929

Accuracy

100.0%

Counts

929 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	49.9%	(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
✓	99.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
▶	51.9%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	51.8%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 42 to 36 computations (14.3% saved)

simplify9.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
cost-diff	384	(/.f64 y #s(literal -200 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
0	9	14
1	11	14
2	20	14
3	28	14
4	41	14
5	60	14
6	96	14
7	128	14
8	183	14
9	214	14
10	247	14
11	248	14
0	248	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
(/.f64 y #s(literal -200 binary64))
y
#s(literal -200 binary64)

Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
y
#s(literal -200 binary64)

localize33.0ms (0.9%)

Memory

-26.9MiB live, 26.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal -200 binary64))
accuracy	30.75655667461661	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))

Samples

28.0ms

256×

valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

Precisions

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

ival-div: 5.0ms (73.9% of total)

ival-sub: 1.0ms (14.8% 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

4.4MiB live, 4.4MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())

#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal -200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	((/ y -200) (- x (/ y 200)))
0.0ms	y	@	-inf	((/ y -200) (- x (/ y 200)))
0.0ms	y	@	0	((/ y -200) (- x (/ y 200)))
0.0ms	x	@	inf	((/ y -200) (- x (/ y 200)))
0.0ms	x	@	-inf	((/ y -200) (- x (/ y 200)))

simplify170.0ms (4.7%)

Memory

23.1MiB live, 131.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	456	138
4	1245	138
5	2470	138
6	3272	138
7	3608	138
8	3904	138
9	4086	138
10	5225	138
11	6021	138
12	6789	138
13	7057	138
14	7837	138
0	8373	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))

Outputs
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)

rewrite243.0ms (6.8%)

Memory

-2.2MiB live, 234.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
0	9	12
1	40	12
2	262	12
3	4234	12
0	9056	11

Stop Event

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

Counts

2 → 56

Calls

Call 1

Inputs
(/.f64 y #s(literal -200 binary64))
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))

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

eval19.0ms (0.5%)

Memory: -16.6MiB live, 22.3MiB allocated
Compiler: Compiled 1 043 to 171 computations (83.6% saved)

prune5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	88	6	94

Accuracy

100.0%

Counts

94 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	49.9%	(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
✓	99.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
✓	51.9%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
▶	2.1%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓	51.8%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 51 to 44 computations (13.7% saved)

simplify9.0ms (0.3%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal 1/200 binary64))
cost-diff	0	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
0	9	14
1	12	14
2	22	14
3	30	14
4	43	14
5	62	14
6	98	14
7	127	14
8	185	14
9	214	14
10	247	14
11	248	14
0	248	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(*.f64 y #s(literal 1/200 binary64))
y
#s(literal 1/200 binary64)

Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal 1/200 binary64) y))
(*.f64 #s(literal 1/200 binary64) y)
y
#s(literal 1/200 binary64)

localize23.0ms (0.6%)

Memory

-8.8MiB live, 29.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.14453125	(*.f64 y #s(literal 1/200 binary64))
accuracy	62.631697013684445	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

Precisions

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

const: 3.0ms (32.8% of total)

ival-div: 2.0ms (21.8% of total)

ival-mult: 2.0ms (21.8% of total)

ival-sub: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())

#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 1/200 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	((- x (/ y 200)) (* y 1/200))
0.0ms	y	@	-inf	((- x (/ y 200)) (* y 1/200))
0.0ms	y	@	0	((- x (/ y 200)) (* y 1/200))
0.0ms	x	@	inf	((- x (/ y 200)) (* y 1/200))
0.0ms	x	@	-inf	((- x (/ y 200)) (* y 1/200))

simplify187.0ms (5.2%)

Memory

11.1MiB live, 89.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	1250	138
5	2477	138
6	3282	138
7	3618	138
8	3914	138
9	4096	138
10	5241	138
11	6037	138
12	6805	138
13	7073	138
14	7853	138
0	8389	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))

Outputs
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) y)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
x
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y x)

rewrite172.0ms (4.8%)

Memory

-15.0MiB live, 162.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
0	9	12
1	34	12
2	259	12
3	4161	12
0	8351	11

Stop Event

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

Counts

2 → 40

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(*.f64 y #s(literal 1/200 binary64))

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>

eval114.0ms (3.2%)

Memory: -22.8MiB live, 15.9MiB allocated
Compiler: Compiled 848 to 137 computations (83.8% saved)

prune6.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	73	6	79

Accuracy

100.0%

Counts

79 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	49.9%	(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
✓	99.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
✓	51.9%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	2.1%	#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
✓	51.8%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 107 to 72 computations (32.7% saved)

regimes18.0ms (0.5%)

Memory

-17.8MiB live, 19.9MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))

Calls

4 calls:

9.0ms	y
3.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
3.0ms	(/.f64 y #s(literal 200 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
100.0%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes9.0ms (0.3%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))

Outputs
(fma.f64 y #s(literal -1/200 binary64) x)

Calls

4 calls:

2.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
99.9%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.2%)

Memory

9.1MiB live, 9.2MiB allocated

Accuracy

Total -32.2b remaining (-104.5%)

Threshold costs -32.2b (-104.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal 1/200 binary64)))

Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Calls

4 calls:

2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
51.8%	1	`x`
51.8%	1	`y`
51.8%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
51.8%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify158.0ms (4.4%)

Memory

-0.4MiB live, 45.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	14	18
2	23	18
3	29	18
4	34	18
5	36	18

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

soundness439.0ms (12.2%)

Memory

-1.9MiB live, 197.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	32	8
2	248	8
3	4067	8
0	8164	7
0	25	138
1	68	138
2	170	138
3	455	138
4	1251	138
5	2461	138
6	3262	138
7	3598	138
8	3894	138
9	4077	138
10	5218	138
11	6014	138
12	6782	138
13	7050	138
14	7830	138
0	8366	120

Stop Event

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

preprocess44.0ms (1.2%)

Memory: -10.5MiB live, 68.2MiB allocated
Compiler: Compiled 46 to 34 computations (26.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Iter	Nodes	Cost
0	8	14
0	9	14
1	11	14
2	20	14
3	28	14
4	41	14
5	60	14
6	96	14
7	128	14
8	183	14
9	214	14
10	247	14
11	248	14
0	248	13

Iter	Nodes	Cost
0	8	14
0	9	14
1	12	14
2	22	14
3	30	14
4	43	14
5	62	14
6	98	14
7	127	14
8	185	14
9	214	14
10	247	14
11	248	14
0	248	13

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Iter	Nodes	Cost
0	8	14
0	9	14
1	11	14
2	20	14
3	28	14
4	41	14
5	60	14
6	96	14
7	128	14
8	183	14
9	214	14
10	247	14
11	248	14
0	248	13

Iter	Nodes	Cost
0	8	14
0	9	14
1	12	14
2	22	14
3	30	14
4	43	14
5	62	14
6	98	14
7	127	14
8	185	14
9	214	14
10	247	14
11	248	14
0	248	13

start0.0ms (0%)

analyze0.0ms (0%)

sample617.0ms (17.1%)

explain54.0ms (1.5%)

preprocess26.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.2%)

localize28.0ms (0.8%)

series4.0ms (0.1%)

simplify168.0ms (4.7%)

rewrite151.0ms (4.2%)

eval17.0ms (0.5%)

prune6.0ms (0.2%)

simplify75.0ms (2.1%)

localize73.0ms (2%)

series55.0ms (1.5%)

simplify203.0ms (5.6%)

rewrite176.0ms (4.9%)

eval240.0ms (6.7%)

prune25.0ms (0.7%)

simplify9.0ms (0.3%)

localize33.0ms (0.9%)

series3.0ms (0.1%)

simplify170.0ms (4.7%)

rewrite243.0ms (6.8%)

eval19.0ms (0.5%)

prune5.0ms (0.1%)

simplify9.0ms (0.3%)

localize23.0ms (0.6%)

series3.0ms (0.1%)

simplify187.0ms (5.2%)

rewrite172.0ms (4.8%)

eval114.0ms (3.2%)

prune6.0ms (0.2%)

regimes18.0ms (0.5%)

regimes9.0ms (0.3%)

regimes7.0ms (0.2%)

simplify158.0ms (4.4%)

soundness439.0ms (12.2%)

preprocess44.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Iter	Nodes	Cost
0	8	14
0	9	14
1	11	14
2	20	14
3	28	14
4	41	14
5	60	14
6	96	14
7	128	14
8	183	14
9	214	14
10	247	14
11	248	14
0	248	13

Iter	Nodes	Cost
0	8	14
0	9	14
1	12	14
2	22	14
3	30	14
4	43	14
5	62	14
6	98	14
7	127	14
8	185	14
9	214	14
10	247	14
11	248	14
0	248	13