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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample416.0ms (18.4%)

Memory

160.2MiB live, 160.2MiB allocated

Samples

239.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-div: 59.0ms (55.6% of total)

ival-sub: 34.0ms (32.1% of total)

ival-true: 6.0ms (5.7% of total)

exact: 4.0ms (3.8% of total)

ival-assert: 3.0ms (2.8% of total)

Bogosity

explain60.0ms (2.7%)

Memory

29.2MiB live, 29.2MiB 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

18.0ms

512×

valid

Compiler

Compiled 64 to 40 computations (37.5% saved)

Precisions

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

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

ival-sub: 2.0ms (28.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess21.0ms (0.9%)

Memory

6.1MiB live, 6.1MiB 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
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 #s(literal -1/200 binary64) y x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

simplify7.0ms (0.3%)

Memory

0.8MiB live, 0.8MiB 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
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(/.f64 y #s(literal 200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
y
#s(literal 200 binary64)

localize12.0ms (0.5%)

Memory

5.6MiB live, 5.6MiB 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

9.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (60.1% of total)

ival-sub: 1.0ms (30.1% 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

1.4MiB live, 1.4MiB allocated

Counts

2 → 36

Calls

Call 1

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

Inputs

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

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

Outputs
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 200 binary64)) (patch (/.f64 y #s(literal 200 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/200 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/200 y)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (patch (-.f64 x (/.f64 y #s(literal 200 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y #s(literal 200 binary64))) (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)))
0.0ms	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	@	inf	((/ y 200) (- x (/ y 200)))

simplify154.0ms (6.8%)

Memory

20.2MiB live, 20.2MiB 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	1249	138
5	2477	138
6	3282	138
7	3618	138
8	3914	138
9	4095	138
10	5236	138
11	6032	138
12	6800	138
13	7068	138
14	7848	138
0	8384	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
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
x
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(- x (* 1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)

rewrite98.0ms (4.4%)

Memory

36.0MiB live, 36.0MiB 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
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eval16.0ms (0.7%)

Memory: 13.7MiB live, 13.7MiB allocated
Compiler: Compiled 2 670 to 399 computations (85.1% saved)

prune5.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB 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 33 to 30 computations (9.1% saved)

simplify65.0ms (2.9%)

Memory

4.0MiB live, 4.0MiB 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	259	69
8	359	69
9	434	69
10	652	69
11	1444	69
12	1788	69
13	1919	69
14	1923	69
15	1931	69
16	1931	69
17	2099	69
18	2614	69
0	2614	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))
#s(approx (- x (/ y 200)) (*.f64 y #s(literal -1/200 binary64)))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 y #s(literal -1/200 binary64))
#s(literal -1/200 binary64)
y
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(*.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 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
(/.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 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x 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 y #s(literal -1/200 binary64) x)
y
#s(literal -1/200 binary64)
x

localize51.0ms (2.3%)

Memory

21.5MiB live, 21.5MiB 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

40.0ms

256×

valid

Compiler

Compiled 148 to 42 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 8.0ms (28% of total)

const: 8.0ms (28% of total)

ival-div: 6.0ms (21% of total)

ival-add: 3.0ms (10.5% of total)

ival-sub: 2.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.5%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

11 → 204

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (pow x 2) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/40000 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/40000 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/40000 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/200 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/200 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/200 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/200 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (.f64 #s(literal -1/200 binary64) y) (patch (.f64 #s(literal -1/200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/200 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1/200)) (taylor inf y) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor inf y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor inf y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor inf y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 200 y) (taylor inf y) (#s(alt (/.f64 #s(literal 200 binary64) y) (patch (/.f64 #s(literal 200 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/200 y) (taylor inf y) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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>) () ())) ())
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#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (pow x 2) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/200 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/200 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/200 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/200 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) (patch #s(approx (- x (/ y 200)) (.f64 #s(literal -1/200 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)) (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 (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -1/200 binary64) x) (patch (fma.f64 y #s(literal -1/200 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (patch (fma.f64 #s(literal 1/200 binary64) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/200 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/200 binary64) y x) (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))
1.0ms	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))
1.0ms	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))

simplify74.0ms (3.3%)

Memory

19.4MiB live, 19.4MiB 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	5987	876
0	8118	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
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(pow x 2)
(*.f64 x x)
(+ (* -1/40000 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(+ (* -1/40000 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(+ (* -1/40000 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(+ x (* 1/200 y))
(fma.f64 #s(literal 1/200 binary64) y x)
(+ x (* 1/200 y))
(fma.f64 #s(literal 1/200 binary64) y x)
(+ x (* 1/200 y))
(fma.f64 #s(literal 1/200 binary64) y x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/40000 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/40000 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* y (+ 1/200 (/ x y)))
(fma.f64 #s(literal 1/200 binary64) y x)
(* y (+ 1/200 (/ x y)))
(fma.f64 #s(literal 1/200 binary64) y x)
(* y (+ 1/200 (/ x y)))
(fma.f64 #s(literal 1/200 binary64) y x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/40000 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/40000 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/40000))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(fma.f64 #s(literal 1/200 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(fma.f64 #s(literal 1/200 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(fma.f64 #s(literal 1/200 binary64) y x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/40000 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/40000 binary64))
(+ (* -1/40000 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(+ (* -1/40000 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(+ (* -1/40000 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(+ x (* 1/200 y))
(fma.f64 #s(literal 1/200 binary64) y x)
(+ x (* 1/200 y))
(fma.f64 #s(literal 1/200 binary64) y x)
(+ x (* 1/200 y))
(fma.f64 #s(literal 1/200 binary64) y x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* 1/200 (/ y x))))
(fma.f64 #s(literal 1/200 binary64) y x)
(* x (+ 1 (* 1/200 (/ y x))))
(fma.f64 #s(literal 1/200 binary64) y x)
(* x (+ 1 (* 1/200 (/ y x))))
(fma.f64 #s(literal 1/200 binary64) y x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -1/40000 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* -1/200 (/ y x)) 1)))
(fma.f64 #s(literal 1/200 binary64) y x)
(* -1 (* x (- (* -1/200 (/ y x)) 1)))
(fma.f64 #s(literal 1/200 binary64) y x)
(* -1 (* x (- (* -1/200 (/ y x)) 1)))
(fma.f64 #s(literal 1/200 binary64) y x)

rewrite108.0ms (4.8%)

Memory

48.5MiB live, 48.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	62
0	33	51
1	131	47
2	929	47
0	8782	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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eval80.0ms (3.5%)

Memory: 72.9MiB live, 72.9MiB allocated
Compiler: Compiled 18 330 to 1 114 computations (93.9% saved)

prune27.0ms (1.2%)

Memory

39.1MiB live, 39.1MiB 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 32 to 30 computations (6.3% saved)

simplify8.0ms (0.3%)

Memory

0.8MiB live, 0.8MiB 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	126	14
8	181	14
9	212	14
10	245	14
11	246	14
0	246	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 y #s(literal -200 binary64)))
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(/.f64 y #s(literal -200 binary64))
(*.f64 #s(literal -1/200 binary64) y)
y
#s(literal -200 binary64)

localize18.0ms (0.8%)

Memory

6.3MiB live, 6.3MiB 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

13.0ms

256×

valid

Compiler

Compiled 21 to 14 computations (33.3% saved)

Precisions

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

ival-div: 4.0ms (66.5% of total)

ival-sub: 1.0ms (16.6% 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

1.3MiB live, 1.3MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

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

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

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

simplify153.0ms (6.8%)

Memory

20.1MiB live, 20.1MiB 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	4087	138
10	5232	138
11	6028	138
12	6796	138
13	7064	138
14	7844	138
0	8380	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
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)

rewrite92.0ms (4.1%)

Memory

26.3MiB live, 26.3MiB 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>
#<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>

eval12.0ms (0.5%)

Memory: 7.5MiB live, 7.5MiB allocated
Compiler: Compiled 562 to 166 computations (70.5% saved)

prune8.0ms (0.4%)

Memory

7.0MiB live, 7.0MiB 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 36 to 35 computations (2.8% saved)

simplify8.0ms (0.3%)

Memory

0.8MiB live, 0.8MiB 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	183	14
9	212	14
10	245	14
11	246	14
0	246	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 y #s(literal 1/200 binary64)))
#s(approx (- x (/ y 200)) (*.f64 #s(literal 1/200 binary64) y))
(*.f64 y #s(literal 1/200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
y
#s(literal 1/200 binary64)

localize22.0ms (1%)

Memory

6.9MiB live, 6.9MiB 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

17.0ms

256×

valid

Compiler

Compiled 21 to 14 computations (33.3% saved)

Precisions

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

const: 3.0ms (31.9% of total)

ival-div: 2.0ms (21.3% of total)

ival-mult: 2.0ms (21.3% of total)

ival-sub: 1.0ms (10.6% 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

1.3MiB live, 1.3MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

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

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

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

simplify152.0ms (6.7%)

Memory

20.1MiB live, 20.1MiB 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	2475	138
6	3277	138
7	3613	138
8	3909	138
9	4090	138
10	5236	138
11	6032	138
12	6800	138
13	7068	138
14	7848	138
0	8384	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
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)

rewrite106.0ms (4.7%)

Memory

31.2MiB live, 31.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
0	9	12
1	34	12
2	259	12
3	4160	12
0	8349	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>
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#<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>

eval10.0ms (0.4%)

Memory: 6.2MiB live, 6.2MiB allocated
Compiler: Compiled 447 to 133 computations (70.2% saved)

prune8.0ms (0.3%)

Memory

6.6MiB live, 6.6MiB 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 77 to 60 computations (22.1% saved)

regimes14.0ms (0.6%)

Memory

8.0MiB live, 8.0MiB 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:

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

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)

regimes11.0ms (0.5%)

Memory

7.0MiB live, 7.0MiB 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:

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

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)

regimes9.0ms (0.4%)

Memory

6.3MiB live, 6.3MiB 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
2.0ms	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)

simplify28.0ms (1.2%)

Memory

18.4MiB live, 18.4MiB 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))

soundness349.0ms (15.5%)

Memory

1.9MiB live, 1.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	1249	138
5	2477	138
6	3282	138
7	3618	138
8	3914	138
9	4095	138
10	5236	138
11	6032	138
12	6800	138
13	7068	138
14	7848	138
0	8384	120
0	5	8
0	7	8
1	32	8
2	248	8
3	4067	8
0	8164	7

Stop Event

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

Compiler

Compiled 25 to 20 computations (20% saved)

preprocess34.0ms (1.5%)

Memory: 25.8MiB live, 25.8MiB allocated
Compiler: Compiled 36 to 28 computations (22.2% 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	126	14
8	181	14
9	212	14
10	245	14
11	246	14
0	246	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	183	14
9	212	14
10	245	14
11	246	14
0	246	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	126	14
8	181	14
9	212	14
10	245	14
11	246	14
0	246	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	183	14
9	212	14
10	245	14
11	246	14
0	246	13

start0.0ms (0%)

analyze0.0ms (0%)

sample416.0ms (18.4%)

explain60.0ms (2.7%)

preprocess21.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.3%)

localize12.0ms (0.5%)

series3.0ms (0.1%)

simplify154.0ms (6.8%)

rewrite98.0ms (4.4%)

eval16.0ms (0.7%)

prune5.0ms (0.2%)

simplify65.0ms (2.9%)

localize51.0ms (2.3%)

series11.0ms (0.5%)

simplify74.0ms (3.3%)

rewrite108.0ms (4.8%)

eval80.0ms (3.5%)

prune27.0ms (1.2%)

simplify8.0ms (0.3%)

localize18.0ms (0.8%)

series3.0ms (0.1%)

simplify153.0ms (6.8%)

rewrite92.0ms (4.1%)

eval12.0ms (0.5%)

prune8.0ms (0.4%)

simplify8.0ms (0.3%)

localize22.0ms (1%)

series3.0ms (0.1%)

simplify152.0ms (6.7%)

rewrite106.0ms (4.7%)

eval10.0ms (0.4%)

prune8.0ms (0.3%)

regimes14.0ms (0.6%)

regimes11.0ms (0.5%)

regimes9.0ms (0.4%)

simplify28.0ms (1.2%)

soundness349.0ms (15.5%)

preprocess34.0ms (1.5%)

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	126	14
8	181	14
9	212	14
10	245	14
11	246	14
0	246	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	183	14
9	212	14
10	245	14
11	246	14
0	246	13