Metrics for Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze10.0ms (0.3%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample723.0ms (23.1%)

Memory

-28.2MiB live, 732.9MiB allocated

Samples

495.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-add: 134.0ms (64.9% of total)

ival-div: 63.0ms (30.5% of total)

ival-true: 6.0ms (2.9% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain73.0ms (2.3%)

Memory

10.4MiB live, 49.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 y y)`
-	-	`(/.f64 (+.f64 x y) (+.f64 y y))`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

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

ival-add: 5.0ms (56.1% of total)

ival-div: 3.0ms (33.7% of total)

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

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

preprocess93.0ms (3%)

Memory

-14.8MiB live, 24.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	42	35
2	106	35
3	315	35
4	1263	35
5	2381	35
6	3245	35
7	4081	35
8	4614	35
9	4736	35
10	4768	35
11	4844	35
12	4982	35
0	5	7
0	8	7
1	11	7
2	14	7
3	16	7
0	16	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y y)
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) (+.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	11	15
2	14	15
3	16	15
0	16	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)

localize14.0ms (0.5%)

Memory

11.1MiB live, 11.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(+.f64 x y)
accuracy	0.0078125	(/.f64 (+.f64 x y) (+.f64 y y))

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (45.5% of total)

ival-add: 2.0ms (45.5% of total)

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

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

series5.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

3 → 13

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
(+.f64 y y)

Outputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
y
(+ x y)
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* 2 y)
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

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

simplify97.0ms (3.1%)

Memory

8.8MiB live, 52.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	47
1	95	47
2	195	47
3	545	47
4	2443	47
5	5431	47
6	6664	47
7	7610	47
0	8006	44

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 11

Calls

Call 1

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

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

rewrite96.0ms (3.1%)

Memory

-28.9MiB live, 50.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	38	13
0	305	13

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 61

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
(+.f64 y y)

Outputs
(*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
(.f64 (.f64 #s(literal -2 binary64) y) (+.f64 y x))
(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) y)
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal -2 binary64) y)) (-.f64 x y))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) y)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (+.f64 y x) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (.f64 (-.f64 x y) (.f64 #s(literal -2 binary64) y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (.f64 #s(literal -2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x)))))
(/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(+.f64 y x)
(+.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal -2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)

eval6.0ms (0.2%)

Memory: 10.3MiB live, 10.3MiB allocated
Compiler: Compiled 801 to 172 computations (78.5% saved)

prune4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Accuracy

100.0%

Counts

67 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))))
▶	1.2%	(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
▶	4.0%	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
▶	47.6%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
▶	53.3%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 99 to 79 computations (20.2% saved)

simplify142.0ms (4.5%)

Memory

-11.7MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(+.f64 y x)
cost-diff	0	(neg.f64 (+.f64 y x))
cost-diff	1	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 y (+.f64 y x))
cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x)))
cost-diff	3	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	99
0	31	97
1	56	97
2	121	96
3	358	96
4	651	96
5	1128	96
6	2485	96
7	3907	96
8	4245	96
9	4388	96
10	4402	96
11	4403	96
12	4403	96
13	4403	96
0	4403	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (1.4%)

Memory

20.3MiB live, 20.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.25390625	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	33.42267708440824	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.0	(neg.f64 (+.f64 y x))
accuracy	0.0078125	(.f64 (neg.f64 (+.f64 y x)) (.f64 #s(literal -2 binary64) y))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.0078125	(.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) y))
accuracy	29.86847070727623	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
accuracy	0.0	(+.f64 y x)
accuracy	0.00390625	(/.f64 y (+.f64 y x))
accuracy	0.00390625	(*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x)))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))))

Samples

31.0ms

256×

valid

Compiler

Compiled 93 to 21 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 7.0ms (37% of total)

ival-mult: 7.0ms (37% of total)

ival-add: 4.0ms (21.1% of total)

ival-neg: 1.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.5%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

12 → 72

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
2
(+ 2 (* -2 (/ x y)))
(+ 2 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(+ 2 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
y
(+ x y)
(* -2 (pow y 2))
(+ (* -2 (* x y)) (* -2 (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* -1 y)
(- (* -1 x) y)
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 2 (/ y x))
(/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)
(/ (+ (* -2 (/ (pow y 2) x)) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))) x)
(/ (+ (* -2 (/ (pow y 2) x)) (+ (* -2 (/ (pow y 4) (pow x 3))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))))) x)
(/ y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
x
(* x (+ 1 (/ y x)))
(* -2 (* x y))
(* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* -1 x)
(* x (- (* -1 (/ y x)) 1))
(* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (pow y 2)) (* 2 (/ (pow y 3) x))) x))) x))
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* -2 (pow y 3)) (* 2 (/ (pow y 4) x))) x))) x))) x))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ 1 (/ y x))))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x))))
(* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))
(* y (+ (* y (- (* y (+ (* -2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* -2 x) (* -2 y)))
(* -2 y)
(* y (+ (* 2 x) (* 2 y)))
(- (* -1 y) x)
(/ 1/2 y)
(- (+ 2 (* 2 (/ (pow x 2) (pow y 2)))) (* 2 (/ x y)))
(- (+ 2 (* -2 (/ (pow x 3) (pow y 3)))) (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* y (+ 1 (/ x y)))
(* (pow y 2) (- (* -2 (/ x y)) 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* y (- (* -1 (/ x y)) 1))
(+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* -2 x)) y)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* -2 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (/ x y))))

Calls

6 calls:

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

simplify174.0ms (5.5%)

Memory

1.5MiB live, 78.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	803
1	802	758
2	2099	718
3	5919	708
0	8309	665

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
2
(+ 2 (* -2 (/ x y)))
(+ 2 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(+ 2 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
y
(+ x y)
(* -2 (pow y 2))
(+ (* -2 (* x y)) (* -2 (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* -1 y)
(- (* -1 x) y)
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 2 (/ y x))
(/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)
(/ (+ (* -2 (/ (pow y 2) x)) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2))))) x)
(/ (+ (* -2 (/ (pow y 2) x)) (+ (* -2 (/ (pow y 4) (pow x 3))) (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))))) x)
(/ y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
x
(* x (+ 1 (/ y x)))
(* -2 (* x y))
(* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* -1 x)
(* x (- (* -1 (/ y x)) 1))
(* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (pow y 2)) (* 2 (/ (pow y 3) x))) x))) x))
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* -2 (pow y 3)) (* 2 (/ (pow y 4) x))) x))) x))) x))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ 1 (/ y x))))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x))))
(* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))
(* y (+ (* y (- (* y (+ (* -2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* -2 x) (* -2 y)))
(* -2 y)
(* y (+ (* 2 x) (* 2 y)))
(- (* -1 y) x)
(/ 1/2 y)
(- (+ 2 (* 2 (/ (pow x 2) (pow y 2)))) (* 2 (/ x y)))
(- (+ 2 (* -2 (/ (pow x 3) (pow y 3)))) (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* y (+ 1 (/ x y)))
(* (pow y 2) (- (* -2 (/ x y)) 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* y (- (* -1 (/ x y)) 1))
(+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* -2 x)) y)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* -2 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (/ x y))))

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

rewrite47.0ms (1.5%)

Memory

-13.1MiB live, 25.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	76
0	31	73
1	112	73
0	762	73

Stop Event

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

Counts

12 → 421

Calls

Call 1

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

Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 (+.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(.f64 (.f64 (+.f64 x y) y) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 #s(literal -2 binary64) y))
(.f64 (.f64 (neg.f64 (+.f64 x y)) y) #s(literal -2 binary64))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) (+.f64 x y))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (neg.f64 (+.f64 x y)) #s(literal -2 binary64)) y)
(.f64 (.f64 #s(literal -2 binary64) (+.f64 x y)) (neg.f64 y))
(.f64 (.f64 #s(literal -2 binary64) (+.f64 x y)) y)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))))
(.f64 (neg.f64 (+.f64 x y)) (.f64 #s(literal -2 binary64) y))
(.f64 (.f64 #s(literal -2 binary64) y) (neg.f64 (+.f64 x y)))
(.f64 (.f64 #s(literal -2 binary64) y) (+.f64 x y))
(.f64 #s(literal -2 binary64) (.f64 y (+.f64 x y)))
(.f64 #s(literal -2 binary64) (.f64 y (neg.f64 (+.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))) #s(literal 1 binary64))
(.f64 (+.f64 x y) (.f64 #s(literal -2 binary64) y))
(.f64 y (.f64 (neg.f64 (+.f64 x y)) #s(literal -2 binary64)))
(.f64 y (.f64 #s(literal -2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))))
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (-.f64 y x))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal -2 binary64) y)) (-.f64 x y))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) y)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) y) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (+.f64 x y) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) y))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))) (.f64 #s(literal -2 binary64) y))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (.f64 (-.f64 y x) (.f64 #s(literal -2 binary64) y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (.f64 (-.f64 x y) (.f64 #s(literal -2 binary64) y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 #s(literal -2 binary64) y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (.f64 #s(literal -2 binary64) y)))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 y x)))
(/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y)))
(/.f64 (/.f64 (+.f64 x y) y) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 y (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 x y)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (+.f64 x y)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)) (.f64 y (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -2 binary64) y) y))
(fma.f64 (neg.f64 y) (.f64 #s(literal -2 binary64) y) (.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (.f64 #s(literal -2 binary64) y) (neg.f64 y) (.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 x)))
(fma.f64 (.f64 #s(literal -2 binary64) y) x (.f64 y (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (.f64 #s(literal -2 binary64) y) x (.f64 (*.f64 #s(literal -2 binary64) y) y))
(fma.f64 (.f64 #s(literal -2 binary64) y) y (.f64 (*.f64 #s(literal -2 binary64) y) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (.f64 y (.f64 #s(literal -2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (.f64 (.f64 #s(literal -2 binary64) y) y))
(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal -1 binary64)) x) (.f64 y (*.f64 #s(literal -2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal -1 binary64)) x) (.f64 (*.f64 #s(literal -2 binary64) y) y))
(fma.f64 x (.f64 #s(literal -2 binary64) y) (.f64 y (*.f64 #s(literal -2 binary64) y)))
(fma.f64 x (.f64 #s(literal -2 binary64) y) (.f64 (*.f64 #s(literal -2 binary64) y) y))
(fma.f64 y (.f64 #s(literal -2 binary64) y) (.f64 (*.f64 #s(literal -2 binary64) y) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) y) x) (.f64 y (.f64 #s(literal -2 binary64) y)))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) y) x) (.f64 (.f64 #s(literal -2 binary64) y) y))
(+.f64 (.f64 y (.f64 #s(literal -2 binary64) y)) (.f64 (.f64 #s(literal -2 binary64) y) x))
(+.f64 (.f64 (neg.f64 y) (.f64 #s(literal -2 binary64) y)) (.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) y)))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) y) y) (.f64 (.f64 #s(literal -2 binary64) y) x))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) y) (neg.f64 y)) (.f64 (.f64 #s(literal -2 binary64) y) (neg.f64 x)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 y (+.f64 x y))) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))))
(.f64 (.f64 #s(literal -2 binary64) y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y)))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (/.f64 y (+.f64 x y)) #s(literal -2 binary64))
(*.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64))
(.f64 y (.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 y (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 y (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 x y)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 x y))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 x y) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))))
(neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))))
(.f64 (/.f64 y (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 y (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 y (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x y)))
(pow.f64 (/.f64 (+.f64 x y) y) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (+.f64 x y))
(/.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 y) (neg.f64 (+.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) y)))
(/.f64 y (+.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) y))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 x y)))
(neg.f64 (/.f64 y (neg.f64 (+.f64 x y))))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(+.f64 x y)
(+.f64 y x)
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 (+.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(.f64 (.f64 (+.f64 x y) y) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 #s(literal -2 binary64) y))
(.f64 (.f64 (neg.f64 (+.f64 x y)) y) #s(literal -2 binary64))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) (+.f64 x y))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (neg.f64 (+.f64 x y)) #s(literal -2 binary64)) y)
(.f64 (.f64 #s(literal -2 binary64) (+.f64 x y)) (neg.f64 y))
(.f64 (.f64 #s(literal -2 binary64) (+.f64 x y)) y)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))))
(.f64 (neg.f64 (+.f64 x y)) (.f64 #s(literal -2 binary64) y))
(.f64 (.f64 #s(literal -2 binary64) y) (neg.f64 (+.f64 x y)))
(.f64 (.f64 #s(literal -2 binary64) y) (+.f64 x y))
(.f64 #s(literal -2 binary64) (.f64 y (+.f64 x y)))
(.f64 #s(literal -2 binary64) (.f64 y (neg.f64 (+.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))) #s(literal 1 binary64))
(.f64 (+.f64 x y) (.f64 #s(literal -2 binary64) y))
(.f64 y (.f64 (neg.f64 (+.f64 x y)) #s(literal -2 binary64)))
(.f64 y (.f64 #s(literal -2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))))
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (+.f64 x y))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) y)
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(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(neg.f64 (+.f64 x y))
(fma.f64 #s(literal -1 binary64) x (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 y #s(literal -1 binary64)))
(fma.f64 y #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))
(-.f64 (neg.f64 x) y)
(-.f64 (neg.f64 y) x)
(-.f64 #s(literal 0 binary64) (+.f64 x y))
(+.f64 (.f64 x #s(literal -1 binary64)) (.f64 y #s(literal -1 binary64)))
(+.f64 (.f64 y #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)))
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal -2 binary64) y) x))
(.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal -1 binary64)) x))
(.f64 x (.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 x (*.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) y))
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)

eval112.0ms (3.6%)

Memory: -19.8MiB live, 60.4MiB allocated
Compiler: Compiled 4 866 to 878 computations (82% saved)

prune9.0ms (0.3%)

Memory

21.6MiB live, 21.6MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	342	6	348
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	345	9	354

Accuracy

100.0%

Counts

354 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	99.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y)))
	99.7%	(*.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) y))
▶	47.8%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	47.6%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
✓	53.3%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	1.8%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
▶	3.3%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
▶	3.5%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) x) y))

Compiler

Compiled 165 to 127 computations (23% saved)

simplify180.0ms (5.7%)

Memory

-11.3MiB live, 67.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) y) y)
cost-diff	0	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) y) y)
cost-diff	0	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) x) y)
cost-diff	0	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) x) y))
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 y (+.f64 x y))
cost-diff	1	(/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	114
0	40	114
1	74	114
2	149	112
3	352	112
4	556	112
5	777	112
6	1509	112
7	3148	112
8	3639	112
9	3932	112
10	4126	112
11	4171	112
12	4195	112
13	4195	112
14	4291	112
15	4335	112
16	4335	112
17	4335	112
0	4335	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (2.9%)

Memory

-7.4MiB live, 75.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	33.42267708440824	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
accuracy	0.0	(.f64 (.f64 #s(literal -2 binary64) y) y)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	25.018583636868147	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
accuracy	0.0	(.f64 (.f64 #s(literal 2 binary64) y) y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	25.018583636868147	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
accuracy	0.0	(.f64 (.f64 #s(literal 2 binary64) x) y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	29.411143889575822	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) x) y))
accuracy	0.0	(+.f64 x y)
accuracy	0.00390625	(/.f64 y (+.f64 x y))
accuracy	0.1015625	(/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y)))

Samples

80.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 43.0ms (77.7% of total)

ival-div: 7.0ms (12.6% of total)

ival-add: 4.0ms (7.2% of total)

ival-neg: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.5%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

15 → 48

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
y
(+ x y)
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* 2 x)
(* -2 (pow y 2))
(+ (* -2 (* x y)) (* -2 (pow y 2)))
(* 1/2 (/ x y))
(* 1/2 x)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(/ y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
x
(* x (+ 1 (/ y x)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* -2 (* x y))
(* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ (* -2 x) (* -2 y)))
(* -2 y)
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (- (* -2 (/ x y)) 2))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((/ 1/2 (/ y (+ x y))) (/ y (+ x y)) (+ x y) (* (neg (+ y x)) (* -2 y)) (* (* 2 x) y) (* 2 x) (* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
2.0ms	y	@	-inf	((/ 1/2 (/ y (+ x y))) (/ y (+ x y)) (+ x y) (* (neg (+ y x)) (* -2 y)) (* (* 2 x) y) (* 2 x) (* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
2.0ms	y	@	inf	((/ 1/2 (/ y (+ x y))) (/ y (+ x y)) (+ x y) (* (neg (+ y x)) (* -2 y)) (* (* 2 x) y) (* 2 x) (* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
2.0ms	x	@	-inf	((/ 1/2 (/ y (+ x y))) (/ y (+ x y)) (+ x y) (* (neg (+ y x)) (* -2 y)) (* (* 2 x) y) (* 2 x) (* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
2.0ms	x	@	inf	((/ 1/2 (/ y (+ x y))) (/ y (+ x y)) (+ x y) (* (neg (+ y x)) (* -2 y)) (* (* 2 x) y) (* 2 x) (* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))

simplify181.0ms (5.8%)

Memory

9.7MiB live, 166.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	446
1	509	410
2	1296	386
3	4964	384
0	8338	368

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
y
(+ x y)
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* 2 x)
(* -2 (pow y 2))
(+ (* -2 (* x y)) (* -2 (pow y 2)))
(* 1/2 (/ x y))
(* 1/2 x)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(/ y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
x
(* x (+ 1 (/ y x)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* -2 (* x y))
(* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ (* -2 x) (* -2 y)))
(* -2 y)
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (- (* -2 (/ x y)) 2))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite48.0ms (1.5%)

Memory

1.3MiB live, 40.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	101
0	40	99
1	130	91
0	820	91

Stop Event

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

Counts

15 → 362

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 (+.f64 x y)))
(.f64 (.f64 (+.f64 x y) y) #s(literal -2 binary64))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (+.f64 x y))
(.f64 (.f64 (neg.f64 (+.f64 x y)) y) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (+.f64 x y)) (neg.f64 y))
(.f64 (.f64 #s(literal -2 binary64) (+.f64 x y)) y)
(.f64 (.f64 #s(literal -2 binary64) (neg.f64 (+.f64 x y))) y)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (+.f64 x y))))
(.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 (+.f64 x y)))
(.f64 (.f64 #s(literal 2 binary64) y) (+.f64 x y))
(.f64 #s(literal -2 binary64) (.f64 y (+.f64 x y)))
(.f64 #s(literal -2 binary64) (.f64 y (neg.f64 (+.f64 x y))))
(.f64 (neg.f64 (+.f64 x y)) (.f64 #s(literal 2 binary64) y))
(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) y))
(.f64 y (.f64 #s(literal -2 binary64) (+.f64 x y)))
(.f64 y (.f64 #s(literal -2 binary64) (neg.f64 (+.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) y))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 x y))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (*.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) (-.f64 x y))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) y)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) y)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (+.f64 x y) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (.f64 (-.f64 y x) (.f64 #s(literal 2 binary64) y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 #s(literal 2 binary64) y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (.f64 #s(literal 2 binary64) y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (*.f64 y (-.f64 y x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 y (-.f64 x y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))
(/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 x y)))))
(/.f64 (/.f64 (+.f64 x y) y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 x y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) (+.f64 x y)))
(/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 x y)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (+.f64 x y))))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x y) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 y y) #s(literal -2 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (neg.f64 y) #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 y) (.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 x)))
(fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) x) y (.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) (.f64 x y) (.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) y (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 y y) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -2 binary64) y (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y))
(fma.f64 y (.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 y (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) y))
(fma.f64 y #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 y #s(literal -2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))))
(+.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) y)) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) y)))
(+.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 y)) (.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 x)))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(.f64 (/.f64 y (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 y (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x y)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 y (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 x y) y) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (+.f64 x y))
(/.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) y))
(/.f64 (neg.f64 y) (neg.f64 (+.f64 x y)))
(/.f64 y (+.f64 x y))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 x y)))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
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(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
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(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(+.f64 x y)
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#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
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(*.f64 x #s(literal 2 binary64))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal 2 binary64) y))
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(.f64 #s(literal 2 binary64) (.f64 y y))
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(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
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(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
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(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
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(.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 (.f64 y y) #s(literal -2 binary64))
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(.f64 #s(literal -2 binary64) (.f64 y y))
(*.f64 #s(literal -2 binary64) y)
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(*.f64 y #s(literal 2 binary64))
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(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(fma.f64 y y (*.f64 y y))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 y y) (.f64 y y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 (.f64 y y) #s(literal -2 binary64))
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(.f64 #s(literal -2 binary64) (.f64 y y))
(*.f64 #s(literal -2 binary64) y)
(.f64 y (.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(fma.f64 y y (*.f64 y y))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 y y) (.f64 y y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 (.f64 y y) #s(literal -2 binary64))
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(.f64 #s(literal -2 binary64) (.f64 y y))
(*.f64 #s(literal -2 binary64) y)
(.f64 y (.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(fma.f64 y y (*.f64 y y))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 y y) (.f64 y y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(.f64 (.f64 x y) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) y) x)
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 y (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)

eval54.0ms (1.7%)

Memory: -22.3MiB live, 55.3MiB allocated
Compiler: Compiled 3 104 to 561 computations (81.9% saved)

prune8.0ms (0.3%)

Memory

23.3MiB live, 23.3MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	227	3	230
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	227	12	239

Accuracy

100.0%

Counts

239 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	99.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y)))
▶	99.7%	(*.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) y))
✓	47.8%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	47.6%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
✓	53.3%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
✓	1.8%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
▶	3.5%	#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
▶	2.9%	#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
✓	3.3%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
✓	3.5%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) x) y))
▶	2.9%	#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))

Compiler

Compiled 133 to 103 computations (22.6% saved)

simplify108.0ms (3.4%)

Memory

2.2MiB live, 46.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(+.f64 y x)
cost-diff	1	(*.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
cost-diff	0	(*.f64 y #s(literal -2 binary64))
cost-diff	0	#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
0	21	66
1	40	66
2	91	63
3	264	63
4	453	63
5	702	63
6	1292	63
7	2329	63
8	2970	63
9	3225	63
10	3292	63
11	3345	63
12	3417	63
13	3907	63
14	3907	63
0	3907	62

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize84.0ms (2.7%)

Memory

-19.2MiB live, 59.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(+.f64 y x)
accuracy	0.19921875	(*.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	62.429631030146105	#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(+.f64 y y)
accuracy	61.32130525085809	#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
accuracy	0.0	(*.f64 y #s(literal -2 binary64))
accuracy	61.311150802146614	#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))

Samples

76.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-add: 53.0ms (80% of total)

ival-mult: 6.0ms (9.1% of total)

ival-neg: 5.0ms (7.5% of total)

ival-div: 2.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

8 → 22

Calls

Call 1

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

Outputs
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
1/2
(+ 1/2 (* 1/2 (/ x y)))
y
(+ x y)
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ (* 2 x) (* 2 y)))
(* -2 y)
(* 2 y)
(/ 1/2 y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y) (* (+ y x) (/ 1/2 y)) (+ y x))
1.0ms	y	@	-inf	((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y) (* (+ y x) (/ 1/2 y)) (+ y x))
1.0ms	y	@	0	((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y) (* (+ y x) (/ 1/2 y)) (+ y x))
1.0ms	x	@	-inf	((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y) (* (+ y x) (/ 1/2 y)) (+ y x))
1.0ms	x	@	inf	((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y) (* (+ y x) (/ 1/2 y)) (+ y x))

simplify154.0ms (4.9%)

Memory

-19.6MiB live, 137.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	108
1	171	98
2	389	98
3	1186	98
4	2859	98
5	6247	98
0	8136	95

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 20

Calls

Call 1

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

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

rewrite95.0ms (3%)

Memory

31.7MiB live, 153.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
0	21	55
1	67	55
0	426	55

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

8 → 102

Calls

Call 1

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

Outputs
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y #s(literal -2 binary64))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 y #s(literal 1/2 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(+.f64 y y)
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 y #s(literal 1/2 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(+.f64 y y)
(.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) y) (+.f64 x y))
(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (*.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x y)) (neg.f64 y))
(/.f64 (.f64 (+.f64 x y) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (+.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) (neg.f64 y))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (.f64 (-.f64 y x) (.f64 #s(literal 2 binary64) y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1/2 binary64)) (*.f64 (-.f64 y x) (neg.f64 y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 y x) y))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 #s(literal 2 binary64) y)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (neg.f64 y) (-.f64 y x)))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (neg.f64 y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (*.f64 y (-.f64 y x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 x (.f64 #s(literal 2 binary64) y) (.f64 y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 y (.f64 #s(literal 2 binary64) y) (.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (.f64 y (.f64 #s(literal 2 binary64) y)))
(+.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 (.f64 #s(literal 2 binary64) y) y))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 (.f64 #s(literal 2 binary64) y) x))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(+.f64 x y)
(+.f64 y x)

eval10.0ms (0.3%)

Memory: -10.7MiB live, 28.9MiB allocated
Compiler: Compiled 1 251 to 232 computations (81.5% saved)

prune9.0ms (0.3%)

Memory

-12.9MiB live, 24.6MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	4	4
Done	0	8	8
Total	88	12	100

Accuracy

100.0%

Counts

100 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	99.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y)))
✓	99.7%	(*.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) y))
✓	47.8%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	47.6%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
✓	53.3%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
✓	1.8%	#s(approx (* (+ y x) (* -2 y)) (.f64 (.f64 #s(literal -2 binary64) y) y))
✓	3.5%	#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
✓	2.9%	#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
✓	3.3%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
✓	3.5%	#s(approx (* (neg (+ y x)) (* -2 y)) (.f64 (.f64 #s(literal 2 binary64) x) y))
✓	2.9%	#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))

Compiler

Compiled 290 to 151 computations (47.9% saved)

regimes18.0ms (0.6%)

Memory

-0.3MiB live, 41.7MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))

Calls

3 calls:

8.0ms	x
5.0ms	y
4.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes13.0ms (0.4%)

Memory

-5.0MiB live, 34.6MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

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

Calls

3 calls:

4.0ms	x
4.0ms	y
3.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
78.6%	3	`x`
75.2%	3	`y`
97.7%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

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

Calls

1 calls:

3.0ms

(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
97.5%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.4%)

Memory

-10.4MiB live, 28.9MiB allocated

Accuracy

Total -33.6b remaining (-112.4%)

Threshold costs -33.6b (-112.4%)

Counts

9 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Calls

3 calls:

4.0ms	y
3.0ms	x
3.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
53.3%	1	`y`
53.3%	1	`x`
53.3%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5002052976540601	1935.5768214576103
0.0ms	-27.36673781947996	0.4999694764355312

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5002052976540601	1935.5768214576103
0.0ms	-27.36673781947996	0.4999694764355312

Compiler

Compiled 10 to 10 computations (0% saved)

simplify10.0ms (0.3%)

Memory

26.4MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	102
1	33	102
2	36	102
3	38	102

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -20 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -20 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -20 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(if (or (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -20 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -20 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(if (or (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -20 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

soundness329.0ms (10.5%)

Memory

-27.0MiB live, 171.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	76
0	31	73
1	112	73
0	762	73
0	34	47
1	95	47
2	195	47
3	545	47
4	2443	47
5	5431	47
6	6664	47
7	7610	47
0	8006	44

Stop Event

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

Compiler

Compiled 128 to 52 computations (59.4% saved)

preprocess41.0ms (1.3%)

Memory: 20.0MiB live, 100.0MiB allocated
Compiler: Compiled 232 to 70 computations (69.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze10.0ms (0.3%)

sample723.0ms (23.1%)

explain73.0ms (2.3%)

preprocess93.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.5%)

series5.0ms (0.2%)

simplify97.0ms (3.1%)

rewrite96.0ms (3.1%)

eval6.0ms (0.2%)

prune4.0ms (0.1%)

simplify142.0ms (4.5%)

localize43.0ms (1.4%)

series15.0ms (0.5%)

simplify174.0ms (5.5%)

rewrite47.0ms (1.5%)

eval112.0ms (3.6%)

prune9.0ms (0.3%)

simplify180.0ms (5.7%)

localize92.0ms (2.9%)

series14.0ms (0.5%)

simplify181.0ms (5.8%)

rewrite48.0ms (1.5%)

eval54.0ms (1.7%)

prune8.0ms (0.3%)

simplify108.0ms (3.4%)

localize84.0ms (2.7%)

series5.0ms (0.2%)

simplify154.0ms (4.9%)

rewrite95.0ms (3%)

eval10.0ms (0.3%)

prune9.0ms (0.3%)

regimes18.0ms (0.6%)

regimes13.0ms (0.4%)

regimes4.0ms (0.1%)

regimes11.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify10.0ms (0.3%)

soundness329.0ms (10.5%)

preprocess41.0ms (1.3%)

end0.0ms (0%)

Profiling