Metrics for Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.5MiB 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 9 to 8 computations (11.1% saved)

sample909.0ms (12.6%)

Memory

-12.4MiB live, 704.7MiB allocated

Samples

645.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-mult: 216.0ms (70.2% of total)

ival-add: 78.0ms (25.4% of total)

ival-true: 5.0ms (1.6% of total)

exact: 4.0ms (1.3% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain78.0ms (1.1%)

Memory

25.9MiB live, 137.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`	*no**	17	0

Confusion

	Predicted +	Predicted -
+	17	0
-	0	239

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	0
-	0	0	239

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	239
1	17

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (74.8% of total)

ival-add: 2.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

preprocess30.0ms (0.4%)

Memory

3.8MiB live, 47.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory

-22.9MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	27	18
3	49	18
4	49	18
0	49	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (0.6%)

Memory

12.9MiB live, 51.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	3.991998467683647	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

38.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (55.6% of total)

ival-add: 2.0ms (37.1% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

3 → 48

Calls

Call 1

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

Inputs

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

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

#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())

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

Calls

6 calls:

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

simplify210.0ms (2.9%)

Memory

-19.2MiB live, 164.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	246
1	42	246
2	74	246
3	214	246
4	708	246
5	1945	246
6	2662	246
7	3749	246
8	5093	246
9	5984	246
10	6960	246
11	7303	246
12	7415	246
13	7492	246
14	7561	246
15	7708	246
0	8252	216

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite351.0ms (4.9%)

Memory

-7.6MiB live, 193.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	34	15
2	209	15
3	1404	15
0	8269	13

Stop Event

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

Counts

3 → 368

Calls

Call 1

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

Outputs
#<batchref>
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eval249.0ms (3.4%)

Memory: 3.6MiB live, 120.2MiB allocated
Compiler: Compiled 9 899 to 1 124 computations (88.6% saved)

prune30.0ms (0.4%)

Memory

-5.6MiB live, 32.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	409	6	415
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	410	6	416

Accuracy

99.9%

Counts

416 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	65.2%	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
▶	93.7%	(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
	93.6%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
▶	45.5%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
▶	52.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 112 to 90 computations (19.6% saved)

simplify147.0ms (2%)

Memory

6.4MiB live, 163.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	6848	(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ 1 (* y y)) (*.f64 y y))
cost-diff	0	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
cost-diff	0	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	36	106
1	56	106
2	81	106
3	144	106
4	238	106
5	519	106
6	1105	106
7	1949	106
8	3939	106
9	5645	106
10	6965	106
11	7649	106
0	8022	106

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
x
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
x
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 1 binary64)
x
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
x
y
(.f64 #s(approx (+ 1 ( y y)) #s(literal 1 binary64)) x)
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(approx (+ 1 ( y y)) (*.f64 y y)) x)
x
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 1 binary64)
x
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)

localize88.0ms (1.2%)

Memory

-14.6MiB live, 153.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.00390625	(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy	1.9000214078049262	(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
accuracy	17.428525536749724	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.32838080731346087	(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	3.8024152763568213	(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	3.991998467683647	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
accuracy	31.192085795561734	#s(approx (+ 1 (* y y)) (*.f64 y y))
accuracy	3.991998467683647	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
accuracy	30.85116426341651	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.07421875	(fma.f64 (*.f64 x y) y x)

Samples

74.0ms

256×

valid

Compiler

Compiled 220 to 44 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 33.0ms (69.8% of total)

ival-pow: 5.0ms (10.6% of total)

ival-add: 4.0ms (8.5% of total)

ival-div: 3.0ms (6.3% of total)

ival-sub: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.4%)

Memory

5.8MiB live, 45.4MiB allocated

Counts

14 → 252

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
3.0ms	x	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
3.0ms	y	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
2.0ms	x	@	0	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
2.0ms	y	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))

simplify141.0ms (2%)

Memory

9.5MiB live, 199.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	1542
1	142	1519
2	330	1515
3	954	1511
4	3820	1511
5	7860	1511
0	8265	1378

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 247

Calls

Call 1

Inputs
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* -1 x)
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
-1
(- (pow y 4) 1)
(- (pow y 4) 1)
(- (pow y 4) 1)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))

Outputs
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y)))
#s(literal 1 binary64)
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(neg.f64 x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
#s(literal -1 binary64)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y y)
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y y)
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 y y))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) y) y)
(*.f64 y y)
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (pow.f64 y #s(literal 4 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(pow.f64 y #s(literal 4 binary64))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y y)
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y y)
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 y y))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) y) y)
(*.f64 y y)
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (pow.f64 y #s(literal 4 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(pow.f64 y #s(literal 4 binary64))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)

rewrite184.0ms (2.5%)

Memory

-4.9MiB live, 225.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	93
0	36	81
1	141	81
2	857	81
0	8423	81

Stop Event

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

Counts

14 → 1 645

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))

Outputs
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eval318.0ms (4.4%)

Memory: 24.6MiB live, 384.5MiB allocated
Compiler: Compiled 40 261 to 3 238 computations (92% saved)

prune38.0ms (0.5%)

Memory

-1.2MiB live, 112.4MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 887	5	1 892
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 890	8	1 898

Accuracy

100.0%

Counts

1 898 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	88.6%	(/.f64 (.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y))
▶	45.4%	(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
▶	99.8%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)))
▶	93.6%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
▶	99.4%	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
✓	45.5%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	52.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 166 to 110 computations (33.7% saved)

simplify116.0ms (1.6%)

Memory

-0.9MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 y x) y x)
cost-diff	0	(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
cost-diff	0	(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
cost-diff	26880	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)))
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
cost-diff	1792	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
cost-diff	128	(.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
cost-diff	1280	(/.f64 (.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff	0	(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y x)
cost-diff	0	(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	194
0	44	163
1	74	163
2	156	163
3	379	163
4	1419	163
5	6069	163
0	8248	162

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
y
x
#s(literal -1 binary64)
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
x
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(/.f64 (.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y))
(.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
y
x
#s(literal -1 binary64)
#s(literal -1/2 binary64)

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

localize98.0ms (1.4%)

Memory

-7.3MiB live, 157.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 (*.f64 y x) y x)
accuracy	0.3193550293053261	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
accuracy	0.4022883639669849	(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
accuracy	10.836195455012422	(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.125	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
accuracy	0.32838080731346087	(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)))
accuracy	3.8777021319347877	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.046875	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
accuracy	1.8880851388814603	(.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
accuracy	5.347588148115212	(/.f64 (.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y))
accuracy	0	(*.f64 y y)
accuracy	0.38306830731346087	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	3.8024152763568213	(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
accuracy	31.182233672581788	#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy	0	(*.f64 y x)
accuracy	0.07421875	(fma.f64 (*.f64 y x) y x)
accuracy	0.125	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)))
accuracy	0.4022883639669849	(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))

Samples

64.0ms

256×

valid

Compiler

Compiled 398 to 54 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-pow: 11.0ms (30% of total)

ival-div: 10.0ms (27.3% of total)

ival-mult: 9.0ms (24.5% of total)

ival-add: 6.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

series61.0ms (0.8%)

Memory

-3.6MiB live, 42.7MiB allocated

Counts

18 → 348

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	x	@	-inf	((/ 1 (pow (+ (* (* y x) y) x) -1)) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* y y) 1) (/ -1 (/ (/ -1 (+ (* y y) 1)) x)) (/ (/ -1 (+ (* y y) 1)) x) (/ -1 (+ (* y y) 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (+ 1 y))
3.0ms	x	@	0	((/ 1 (pow (+ (* (* y x) y) x) -1)) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* y y) 1) (/ -1 (/ (/ -1 (+ (* y y) 1)) x)) (/ (/ -1 (+ (* y y) 1)) x) (/ -1 (+ (* y y) 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (+ 1 y))
2.0ms	x	@	inf	((/ 1 (pow (+ (* (* y x) y) x) -1)) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* y y) 1) (/ -1 (/ (/ -1 (+ (* y y) 1)) x)) (/ (/ -1 (+ (* y y) 1)) x) (/ -1 (+ (* y y) 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (+ 1 y))
2.0ms	y	@	0	((/ 1 (pow (+ (* (* y x) y) x) -1)) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* y y) 1) (/ -1 (/ (/ -1 (+ (* y y) 1)) x)) (/ (/ -1 (+ (* y y) 1)) x) (/ -1 (+ (* y y) 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (+ 1 y))
2.0ms	y	@	inf	((/ 1 (pow (+ (* (* y x) y) x) -1)) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* y y) 1) (/ -1 (/ (/ -1 (+ (* y y) 1)) x)) (/ (/ -1 (+ (* y y) 1)) x) (/ -1 (+ (* y y) 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (+ 1 y))

simplify181.0ms (2.5%)

Memory

-7.1MiB live, 185.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	2862
1	615	2824
2	2010	2719
3	6364	2715
0	8595	2479

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 339

Calls

Call 1

Inputs
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
x
(+ x (* x y))
(+ x (* y (+ x (* x y))))
(+ x (* y (+ x (* y (+ x (* x y))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(/ -1 x)
(- (/ (pow y 2) x) (/ 1 x))
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
-1
(- (pow y 2) 1)
(- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (pow y 2) 1)))) 1)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(sqrt x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 3))
(* (pow y 3) (+ x (/ x y)))
(* (pow y 3) (+ x (+ (/ x y) (/ x (pow y 2)))))
(* (pow y 3) (+ x (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 y)))
(* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ -1 (* x (pow y 2)))
(/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (pow y 2))
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2))
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6)))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2))
(/ -1 (pow y 2))
(/ (- (/ 1 (pow y 2)) 1) (pow y 2))
(/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 4)))) (pow y 2))
(/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow y 6))) (+ 1 (/ 1 (pow y 4)))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y)))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y)))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 y)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ -1 (* x (pow y 2)))
(/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (pow y 2))
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2))
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6)))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2))
(/ -1 (pow y 2))
(/ (- (/ 1 (pow y 2)) 1) (pow y 2))
(/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 4)))) (pow y 2))
(/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow y 6))) (+ 1 (/ 1 (pow y 4)))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* -1 (* (sqrt x) y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ -1 (* x (+ 1 (pow y 2))))
(/ -1 (* x (+ 1 (pow y 2))))
(/ -1 (* x (+ 1 (pow y 2))))
(/ -1 (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ -1 (* x (+ 1 (pow y 2))))
(/ -1 (* x (+ 1 (pow y 2))))
(/ -1 (* x (+ 1 (pow y 2))))
(/ -1 (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ -1 (* x (+ 1 (pow y 2))))
(/ -1 (* x (+ 1 (pow y 2))))
(/ -1 (* x (+ 1 (pow y 2))))
(/ -1 (* x (+ 1 (pow y 2))))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))

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

rewrite294.0ms (4.1%)

Memory

22.7MiB live, 254.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	155
0	44	122
1	179	115
2	1106	115
0	8746	114

Stop Event

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

Counts

18 → 2 134

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 (.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y))
(.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
(fma.f64 y y #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) y)

Outputs
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eval1.4s (19.8%)

Memory: 1.7MiB live, 867.6MiB allocated
Compiler: Compiled 90 595 to 6 302 computations (93% saved)

prune148.0ms (2.1%)

Memory

34.6MiB live, 232.2MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	3 572	7	3 579
Fresh	0	0	0
Picked	4	1	5
Done	0	3	3
Total	3 576	11	3 587

Accuracy

100.0%

Counts

3 587 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	93.6%	(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
▶	41.2%	(/.f64 (.f64 x #s(approx ( (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y))
✓	45.4%	(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)) (+.f64 y #s(literal 1 binary64))))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)))
▶	99.9%	(.f64 (fma.f64 (.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
	52.0%	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (pow (+ (* (* y x) y) x) -1) -1/2) (*.f64 (sqrt.f64 x) y)))
▶	99.5%	(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x)))
✓	45.5%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	52.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 273 to 174 computations (36.3% saved)

simplify202.0ms (2.8%)

Memory

-21.4MiB live, 126.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)
cost-diff	0	(sqrt.f64 (fma.f64 (*.f64 x y) y x))
cost-diff	2304	(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)))
cost-diff	0	(fma.f64 (fma.f64 y y y) y y)
cost-diff	0	#s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))
cost-diff	0	(.f64 x #s(approx ( (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y)))
cost-diff	0	(/.f64 (.f64 x #s(approx ( (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(-.f64 #s(literal -1 binary64) (*.f64 y y))
cost-diff	1216	(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)
cost-diff	320	(.f64 (fma.f64 (.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
cost-diff	7168	(*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	207
0	49	197
1	92	173
2	205	173
3	524	173
4	2648	173
5	6423	173
0	8255	170

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.9%)

Memory

-3.7MiB live, 141.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.07421875	(fma.f64 (*.f64 x y) y x)
accuracy	0.3193550293053261	(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x)))
accuracy	11.26062781597605	(sqrt.f64 (fma.f64 (*.f64 x y) y x))
accuracy	0	(*.f64 x y)
accuracy	0.07421875	(fma.f64 (*.f64 x y) y x)
accuracy	0.125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)))
accuracy	0.4022883639669849	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))
accuracy	0.05078125	(fma.f64 (fma.f64 y y y) y y)
accuracy	1.8880851388814603	(.f64 x #s(approx ( (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y)))
accuracy	5.347588148115212	(/.f64 (.f64 x #s(approx ( (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y))
accuracy	30.5714409978717	#s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(-.f64 #s(literal -1 binary64) (*.f64 y y))
accuracy	4.081842217683647	(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
accuracy	0.0625	(*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
accuracy	0.07421875	(fma.f64 (*.f64 x y) y x)

Samples

94.0ms

256×

valid

Compiler

Compiled 404 to 58 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-sub: 22.0ms (31.3% of total)

ival-add: 20.0ms (28.4% of total)

ival-mult: 13.0ms (18.5% of total)

ival-div: 7.0ms (9.9% of total)

ival-pow: 6.0ms (8.5% of total)

ival-sqrt: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory

-11.5MiB live, 62.9MiB allocated

Counts

17 → 324

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* (- -1 y) (pow (- -1 y) -1)) (* (+ (* (* x y) y) x) (* (- -1 y) (pow (- -1 y) -1))) (+ (* (* x y) y) x) (* x y) (/ (- -1 (* y y)) (/ -1 x)) (- -1 (* y y)) (* y y) (/ -1 x) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* (+ (* y y) y) y) y) (/ 1 (/ 1 (+ (* (* x y) y) x))) (/ 1 (+ (* (* x y) y) x)) (* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (pow (- -1 y) -1))
4.0ms	y	@	0	((* (- -1 y) (pow (- -1 y) -1)) (* (+ (* (* x y) y) x) (* (- -1 y) (pow (- -1 y) -1))) (+ (* (* x y) y) x) (* x y) (/ (- -1 (* y y)) (/ -1 x)) (- -1 (* y y)) (* y y) (/ -1 x) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* (+ (* y y) y) y) y) (/ 1 (/ 1 (+ (* (* x y) y) x))) (/ 1 (+ (* (* x y) y) x)) (* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (pow (- -1 y) -1))
2.0ms	x	@	-inf	((* (- -1 y) (pow (- -1 y) -1)) (* (+ (* (* x y) y) x) (* (- -1 y) (pow (- -1 y) -1))) (+ (* (* x y) y) x) (* x y) (/ (- -1 (* y y)) (/ -1 x)) (- -1 (* y y)) (* y y) (/ -1 x) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* (+ (* y y) y) y) y) (/ 1 (/ 1 (+ (* (* x y) y) x))) (/ 1 (+ (* (* x y) y) x)) (* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (pow (- -1 y) -1))
2.0ms	x	@	inf	((* (- -1 y) (pow (- -1 y) -1)) (* (+ (* (* x y) y) x) (* (- -1 y) (pow (- -1 y) -1))) (+ (* (* x y) y) x) (* x y) (/ (- -1 (* y y)) (/ -1 x)) (- -1 (* y y)) (* y y) (/ -1 x) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* (+ (* y y) y) y) y) (/ 1 (/ 1 (+ (* (* x y) y) x))) (/ 1 (+ (* (* x y) y) x)) (* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (pow (- -1 y) -1))
2.0ms	y	@	inf	((* (- -1 y) (pow (- -1 y) -1)) (* (+ (* (* x y) y) x) (* (- -1 y) (pow (- -1 y) -1))) (+ (* (* x y) y) x) (* x y) (/ (- -1 (* y y)) (/ -1 x)) (- -1 (* y y)) (* y y) (/ -1 x) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* (+ (* y y) y) y) y) (/ 1 (/ 1 (+ (* (* x y) y) x))) (/ 1 (+ (* (* x y) y) x)) (* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (pow (- -1 y) -1))

simplify219.0ms (3%)

Memory

29.0MiB live, 228.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	2418
1	585	2376
2	1881	2283
3	5172	2264
0	8264	2035

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 316

Calls

Call 1

Inputs
1
1
1
1
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
-1
(- (* -1 (pow y 2)) 1)
(- (* -1 (pow y 2)) 1)
(- (* -1 (pow y 2)) 1)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
x
(+ x (* x y))
(+ x (* y (+ x (* x y))))
(+ x (* y (+ x (* y (+ x (* x y))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
y
(* y (+ 1 y))
(* y (+ 1 (* y (+ 1 y))))
(* y (+ 1 (* y (+ 1 y))))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(sqrt x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
-1
(- y 1)
(- (* y (+ 1 (* -1 y))) 1)
(- (* y (+ 1 (* y (- y 1)))) 1)
1
1
1
1
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 3))
(* (pow y 3) (+ x (/ x y)))
(* (pow y 3) (+ x (+ (/ x y) (/ x (pow y 2)))))
(* (pow y 3) (+ x (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 y)))
(* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 y)))
(* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(/ -1 y)
(/ (- (/ 1 y) 1) y)
(/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)
(/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y)
1
1
1
1
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y)))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y)))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 y)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1)))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 y)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* -1 (* (sqrt x) y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
(/ -1 y)
(* -1 (/ (- 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) y))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
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(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
(* x (* (+ 1 y) (+ 1 (pow y 2))))
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(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))

Outputs
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(fma.f64 x y x)
(fma.f64 (fma.f64 x y x) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
(fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
y
(fma.f64 y y y)
(fma.f64 (fma.f64 y y y) y y)
(fma.f64 (fma.f64 y y y) y y)
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 (.f64 y y) x) (/.f64 #s(literal -1 binary64) x)) (.f64 y y) (/.f64 #s(literal 1 binary64) x))
x
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(sqrt.f64 x)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x))
(fma.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) (.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) (sqrt.f64 x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) #s(literal -1/8 binary64)))))
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x y)
(*.f64 x y)
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(*.f64 x y)
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) y)
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 y y)
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(*.f64 y y)
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(*.f64 (fma.f64 y y (pow.f64 y #s(literal 3 binary64))) x)
(.f64 (fma.f64 (+.f64 (/.f64 x y) x) (.f64 y y) x) y)
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) x (/.f64 x y)) (*.f64 y y) x)
(pow.f64 y #s(literal 3 binary64))
(fma.f64 y y (pow.f64 y #s(literal 3 binary64)))
(fma.f64 (fma.f64 y y y) y y)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal 3 binary64))
(fma.f64 y y (pow.f64 y #s(literal 3 binary64)))
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(.f64 (.f64 y y) x)
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(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) x))) (*.f64 y y))
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) y))
(.f64 (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (sqrt.f64 x)) y)
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))) y)
(/.f64 #s(literal -1 binary64) y)
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(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) #s(literal 1 binary64)) y)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
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(.f64 (.f64 y y) x)
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(*.f64 x y)
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(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) y)
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 y y)
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(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(*.f64 (fma.f64 y y (pow.f64 y #s(literal 3 binary64))) x)
(.f64 (fma.f64 (+.f64 (/.f64 x y) x) (.f64 y y) x) y)
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) x (/.f64 x y)) (*.f64 y y) x)
(pow.f64 y #s(literal 3 binary64))
(fma.f64 y y (pow.f64 y #s(literal 3 binary64)))
(neg.f64 (neg.f64 (fma.f64 (fma.f64 y y y) y y)))
(+.f64 (/.f64 (fma.f64 (fma.f64 y y y) y y) y) (pow.f64 y #s(literal 3 binary64)))
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(neg.f64 (neg.f64 (fma.f64 (fma.f64 y y y) y y)))
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(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (.f64 y y))
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (.f64 y y))
(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) x))) (*.f64 y y))
(.f64 (.f64 y y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) (sqrt.f64 x))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (sqrt.f64 x)) (neg.f64 y))
(.f64 (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (sqrt.f64 x)) (neg.f64 y))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))) (neg.f64 y))
(/.f64 #s(literal -1 binary64) y)
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(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
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(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x)))

rewrite179.0ms (2.5%)

Memory

-4.8MiB live, 312.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	165
0	49	142
1	209	133
2	1625	132
0	8633	128

Stop Event

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

Counts

17 → 961

Calls

Call 1

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

Outputs
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eval451.0ms (6.3%)

Memory: 21.4MiB live, 396.0MiB allocated
Compiler: Compiled 46 674 to 2 803 computations (94% saved)

prune89.0ms (1.2%)

Memory

-2.5MiB live, 121.6MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 949	5	1 954
Fresh	1	1	2
Picked	3	2	5
Done	0	4	4
Total	1 953	12	1 965

Accuracy

100.0%

Counts

1 965 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
	99.8%	(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
✓	41.2%	(/.f64 (.f64 x #s(approx ( (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y))
	45.4%	(/.f64 #s(approx (- -1 (* y y)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
✓	45.4%	(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)) (+.f64 y #s(literal 1 binary64))))
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) y x)))
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)))
	51.3%	(.f64 (fma.f64 (.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) #s(approx (pow (- -1 y) -1) (/.f64 #s(literal -1 binary64) y))))
	52.1%	(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) #s(approx (sqrt (+ (* (* x y) y) x)) (*.f64 (sqrt.f64 x) y)))
✓	45.5%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	52.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 507 to 220 computations (56.6% saved)

regimes38.0ms (0.5%)

Memory

-8.3MiB live, 67.8MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
(fma.f64 (*.f64 x y) y x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 #s(approx (- -1 (* y y)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x #s(approx ( (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)))
(/.f64 (.f64 x (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y))
(.f64 (fma.f64 (.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) #s(approx (pow (- -1 y) -1) (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) #s(approx (sqrt (+ (* (* x y) y) x)) (*.f64 (sqrt.f64 x) y)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)) (+.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) y x)))
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (pow (+ (* (* y x) y) x) -1) -1/2) (*.f64 (sqrt.f64 x) y)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))

Outputs
(fma.f64 (*.f64 x y) y x)

Calls

5 calls:

8.0ms	y
8.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))
7.0ms	x
7.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
7.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes8.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
62.6%	5	`x`
92.7%	2	`y`
77.7%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
92.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
92.7%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes7.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`x`
52.2%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
52.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
52.2%	1	`(*.f64 y y)`
52.2%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch54.0ms (0.7%)

Memory

-76.1MiB live, 7.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.6054304413452645	19.284957673673215

Samples

4.0ms

112×

valid

Compiler

Compiled 150 to 137 computations (8.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (47.3% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify22.0ms (0.3%)

Memory

30.5MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	20	39

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (*.f64 x y) y x)

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

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

Outputs

(fma.f64 (*.f64 y x) y x)

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

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

soundness473.0ms (6.6%)

Memory

-14.7MiB live, 252.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	34	15
2	209	15
3	1404	15
0	8269	13
0	15	246
1	42	246
2	74	246
3	214	246
4	708	246
5	1945	246
6	2662	246
7	3749	246
8	5093	246
9	5984	246
10	6960	246
11	7303	246
12	7415	246
13	7492	246
14	7561	246
15	7708	246
0	8252	216

Stop Event

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

Compiler

Compiled 63 to 35 computations (44.4% saved)

preprocess125.0ms (1.7%)

Memory

37.8MiB live, 191.1MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 178 to 100 computations (43.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

start0.0ms (0%)

analyze0.0ms (0%)

sample909.0ms (12.6%)

explain78.0ms (1.1%)

preprocess30.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize43.0ms (0.6%)

series5.0ms (0.1%)

simplify210.0ms (2.9%)

rewrite351.0ms (4.9%)

eval249.0ms (3.4%)

prune30.0ms (0.4%)

simplify147.0ms (2%)

localize88.0ms (1.2%)

series29.0ms (0.4%)

simplify141.0ms (2%)

rewrite184.0ms (2.5%)

eval318.0ms (4.4%)

prune38.0ms (0.5%)

simplify116.0ms (1.6%)

localize98.0ms (1.4%)

series61.0ms (0.8%)

simplify181.0ms (2.5%)

rewrite294.0ms (4.1%)

eval1.4s (19.8%)

prune148.0ms (2.1%)

simplify202.0ms (2.8%)

localize134.0ms (1.9%)

series29.0ms (0.4%)

simplify219.0ms (3%)

rewrite179.0ms (2.5%)

eval451.0ms (6.3%)

prune89.0ms (1.2%)

regimes38.0ms (0.5%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch54.0ms (0.7%)

simplify22.0ms (0.3%)

soundness473.0ms (6.6%)

preprocess125.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6