Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, C

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze34.0ms (1.9%)

Memory

-19.8MiB live, 31.6MiB allocated; 19ms collecting garbage

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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample827.0ms (46.8%)

Memory

31.3MiB live, 990.0MiB allocated; 223ms collecting garbage

Samples

462.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-mult!: 77.0ms (42.2% of total)

ival-add!: 62.0ms (33.9% of total)

ival-div!: 42.0ms (23% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

explain115.0ms (6.5%)

Memory

-6.2MiB live, 82.7MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
78	-	4	(1.8081253128265034e-251 1.9009719049195e-69)	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	37	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	37
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	37	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	37

Confusion

	Predicted +	Predicted -
+	74	4
-	0	178

Precision

1.0

Recall

0.9487179487179487

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	74	0	4
-	0	0	178

Precision?

1.0

Recall?

0.9487179487179487

Freqs

test

number	freq
0	182
1	74

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div!: 11.0ms (62.9% of total)

ival-mult!: 5.0ms (28.6% of total)

ival-add!: 2.0ms (11.4% of total)

adjust: 0.0ms (0% of total)

preprocess35.0ms (2%)

Memory

-16.8MiB live, 26.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	72	58
2	264	42
3	1013	42
4	3127	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.1%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Symmetry

(sort x y)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series10.0ms (0.6%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

7 → 16

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms	x	@	-inf	((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms	x	@	inf	((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)
1.0ms	x	@	0	((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)
1.0ms	y	@	inf	((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)

rewrite81.0ms (4.6%)

Memory

-2.3MiB live, 98.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	201
0	65	193
1	255	193
0	1893	189

Stop Event

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

Counts

23 → 69

Calls

Call 1

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

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

eval6.0ms (0.3%)

Memory: 15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 038 to 215 computations (79.3% saved)

prune3.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	4	66

Accuracy

100.0%

Counts

66 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
▶	44.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	56.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
▶	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 61 to 45 computations (26.2% saved)

series14.0ms (0.8%)

Memory

-14.3MiB live, 31.5MiB allocated; 4ms collecting garbage

Counts

15 → 27

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ -1/2 y) #s(hole binary64 (/ -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))

Calls

6 calls:

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

rewrite86.0ms (4.8%)

Memory

-15.0MiB live, 80.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	462
0	82	436
1	291	436
0	1922	433

Stop Event

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

Counts

42 → 171

Calls

Call 1

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

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

eval16.0ms (0.9%)

Memory: 27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 987 to 586 computations (85.3% saved)

prune37.0ms (2.1%)

Memory

-36.4MiB live, 10.6MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	163	5	168

Accuracy

100.0%

Counts

168 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
▶	70.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64)) x)))
✓	44.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	56.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
✓	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 89 to 65 computations (27% saved)

series19.0ms (1.1%)

Memory

38.1MiB live, 38.1MiB allocated; 0ms collecting garbage

Counts

15 → 33

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (- (pow (* (/ x y) 1/2) 2) 1/4) #s(hole binary64 -1/4))
#s(approx (- (pow (* (/ x y) 1/2) 2) 1/4) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) 1/4)))
#s(approx (pow (* (/ x y) 1/2) 2) #s(hole binary64 (* 1/4 (/ (pow x 2) (pow y 2)))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) #s(hole binary64 (* x (- (* 1/2 (/ x y)) 1/2))))
#s(approx (+ (* (/ 1/2 y) x) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ 1/2 y) x) -1/2) #s(hole binary64 (- (* 1/2 (/ x y)) 1/2)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (- (pow (* (/ x y) 1/2) 2) 1/4) #s(hole binary64 (* 1/4 (/ (pow x 2) (pow y 2)))))
#s(approx (- (pow (* (/ x y) 1/2) 2) 1/4) #s(hole binary64 (* (pow x 2) (- (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) #s(hole binary64 (* 1/2 (/ (pow x 2) y))))
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ 1/2 y) x) -1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ 1/2 y) x) -1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ 1/2 y) x) -1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (- (pow (* (/ x y) 1/2) 2) 1/4) #s(hole binary64 (/ (+ (* -1/4 (pow y 2)) (* 1/4 (pow x 2))) (pow y 2))))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) #s(hole binary64 (/ (+ (* -1/2 (* x y)) (* 1/2 (pow x 2))) y)))
#s(approx (+ (* (/ 1/2 y) x) -1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 x)) y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) #s(hole binary64 (+ (* -1/2 x) (* 1/2 (/ (pow x 2) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (+ x y) (* (* x 2) y)) (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) (- (pow (* (/ x y) 1/2) 2) 1/4) (pow (* (/ x y) 1/2) 2) (* (/ x y) 1/2) (/ x y) x y 1/2 2 1/4 (* (+ (* (/ 1/2 y) x) -1/2) x) (+ (* (/ 1/2 y) x) -1/2) (/ 1/2 y) -1/2)
3.0ms	x	@	-inf	((/ (+ x y) (* (* x 2) y)) (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) (- (pow (* (/ x y) 1/2) 2) 1/4) (pow (* (/ x y) 1/2) 2) (* (/ x y) 1/2) (/ x y) x y 1/2 2 1/4 (* (+ (* (/ 1/2 y) x) -1/2) x) (+ (* (/ 1/2 y) x) -1/2) (/ 1/2 y) -1/2)
3.0ms	x	@	0	((/ (+ x y) (* (* x 2) y)) (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) (- (pow (* (/ x y) 1/2) 2) 1/4) (pow (* (/ x y) 1/2) 2) (* (/ x y) 1/2) (/ x y) x y 1/2 2 1/4 (* (+ (* (/ 1/2 y) x) -1/2) x) (+ (* (/ 1/2 y) x) -1/2) (/ 1/2 y) -1/2)
2.0ms	y	@	0	((/ (+ x y) (* (* x 2) y)) (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) (- (pow (* (/ x y) 1/2) 2) 1/4) (pow (* (/ x y) 1/2) 2) (* (/ x y) 1/2) (/ x y) x y 1/2 2 1/4 (* (+ (* (/ 1/2 y) x) -1/2) x) (+ (* (/ 1/2 y) x) -1/2) (/ 1/2 y) -1/2)
2.0ms	y	@	-inf	((/ (+ x y) (* (* x 2) y)) (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) (- (pow (* (/ x y) 1/2) 2) 1/4) (pow (* (/ x y) 1/2) 2) (* (/ x y) 1/2) (/ x y) x y 1/2 2 1/4 (* (+ (* (/ 1/2 y) x) -1/2) x) (+ (* (/ 1/2 y) x) -1/2) (/ 1/2 y) -1/2)

rewrite135.0ms (7.6%)

Memory

2.8MiB live, 141.6MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	665
0	127	647
1	479	559
0	3485	541

Stop Event

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

Counts

48 → 235

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) (.f64 (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) (neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) (.f64 (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/4 binary64))) (.f64 (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (neg.f64 x) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(neg.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)))
(neg.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(fma.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) x))
(+.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1/64 binary64))) (neg.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (+.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 4 binary64))))
(fma.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/4 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 x y)) #s(literal 1/2 binary64) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/4 binary64))
(fma.f64 (/.f64 #s(literal 1/4 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1/4 binary64))
(fma.f64 (fabs.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (fabs.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64))
(fma.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal -1/4 binary64))
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) #s(literal -1/4 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))
(fma.f64 (*.f64 x (/.f64 x y)) (/.f64 #s(literal 1/4 binary64) y) #s(literal -1/4 binary64))
(fma.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/4 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
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#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (- (pow (* (/ x y) 1/2) 2) 1/4) #s(literal -1/4 binary64))
#s(approx (- (pow (* (/ x y) 1/2) 2) 1/4) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))
#s(approx (pow (* (/ x y) 1/2) 2) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (/ x y) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
#s(approx (+ (* (/ 1/2 y) x) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (/ 1/2 y) x) -1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (- (pow (* (/ x y) 1/2) 2) 1/4) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (- (pow (* (/ x y) 1/2) 2) 1/4) (.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) (.f64 (.f64 x (/.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
#s(approx (+ (* (/ 1/2 y) x) -1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1/2 y) x) -1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (* (/ 1/2 y) x) -1/2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (/ (- (pow (* (/ x y) 1/2) 2) 1/4) (* (+ (* (/ 1/2 y) x) -1/2) x)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (- (pow (* (/ x y) 1/2) 2) 1/4) (/.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 y y) (.f64 x x))) (.f64 y y)))
#s(approx y y)
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 y x) (*.f64 x x))) y))
#s(approx (+ (* (/ 1/2 y) x) -1/2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) y))
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (* (+ (* (/ 1/2 y) x) -1/2) x) (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 x (/.f64 x y)))))

eval28.0ms (1.6%)

Memory: -31.5MiB live, 60.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 7 311 to 1 018 computations (86.1% saved)

prune6.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	220	5	225

Accuracy

100.0%

Counts

225 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)))
✓	86.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
✓	44.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	56.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
✓	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 88 to 64 computations (27.3% saved)

series21.0ms (1.2%)

Memory

-4.3MiB live, 42.5MiB allocated; 4ms collecting garbage

Counts

14 → 31

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ (* (pow (/ x y) 2) 1/4) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (pow (/ x y) 2) 1/4) -1/4) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) 1/4)))
#s(approx (pow (/ x y) 2) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (* x (- (* 1/2 (/ x y)) 1/2))))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (- (* 1/2 (/ x y)) 1/2)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ (* (pow (/ x y) 2) 1/4) -1/4) #s(hole binary64 (* 1/4 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (pow (/ x y) 2) 1/4) -1/4) #s(hole binary64 (* (pow x 2) (- (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (* 1/2 (/ (pow x 2) y))))
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (+ (* (pow (/ x y) 2) 1/4) -1/4) #s(hole binary64 (/ (+ (* -1/4 (pow y 2)) (* 1/4 (pow x 2))) (pow y 2))))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ (+ (* -1/2 (* x y)) (* 1/2 (pow x 2))) y)))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 x)) y)))
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (+ (* -1/2 x) (* 1/2 (/ (pow x 2) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((/ (+ x y) (* (* x 2) y)) (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) (+ (* (pow (/ x y) 2) 1/4) -1/4) (pow (/ x y) 2) (/ x y) x y 2 1/4 -1/4 (* (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) 1/2 -1/2)
4.0ms	x	@	-inf	((/ (+ x y) (* (* x 2) y)) (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) (+ (* (pow (/ x y) 2) 1/4) -1/4) (pow (/ x y) 2) (/ x y) x y 2 1/4 -1/4 (* (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) 1/2 -1/2)
3.0ms	x	@	inf	((/ (+ x y) (* (* x 2) y)) (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) (+ (* (pow (/ x y) 2) 1/4) -1/4) (pow (/ x y) 2) (/ x y) x y 2 1/4 -1/4 (* (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) 1/2 -1/2)
3.0ms	y	@	-inf	((/ (+ x y) (* (* x 2) y)) (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) (+ (* (pow (/ x y) 2) 1/4) -1/4) (pow (/ x y) 2) (/ x y) x y 2 1/4 -1/4 (* (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) 1/2 -1/2)
3.0ms	x	@	0	((/ (+ x y) (* (* x 2) y)) (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) (+ (* (pow (/ x y) 2) 1/4) -1/4) (pow (/ x y) 2) (/ x y) x y 2 1/4 -1/4 (* (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) 1/2 -1/2)

rewrite158.0ms (9%)

Memory

5.5MiB live, 155.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	621
0	121	602
1	463	521
0	3545	510

Stop Event

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

Counts

45 → 185

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal -1/4 binary64) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)))) (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)))))
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(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) y))
(/.f64 (*.f64 x (/.f64 x y)) y)
(/.f64 (.f64 x x) (.f64 y y))
(neg.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 y y)))
(neg.f64 (/.f64 (.f64 x x) (.f64 (neg.f64 y) y)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
x
y
#s(literal 2 binary64)
#s(literal 1/4 binary64)
#s(literal -1/4 binary64)
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(*.f64 x (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) x) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(fma.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal -1/2 binary64) x (.f64 x (.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(fma.f64 x (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) x))
(fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(fma.f64 x #s(literal -1/2 binary64) (.f64 x (.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 x (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 x y) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) #s(literal -1/4 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64))))))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (pow (/ x y) 2) 1/4) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (* (pow (/ x y) 2) 1/4) -1/4) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))
#s(approx (pow (/ x y) 2) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (/ x y) 1/2) -1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* (pow (/ x y) 2) 1/4) -1/4) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (+ (* (pow (/ x y) 2) 1/4) -1/4) (.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) (.f64 (.f64 x (/.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (/ (+ (* (pow (/ x y) 2) 1/4) -1/4) (* (+ (* (/ x y) 1/2) -1/2) x)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (+ (* (pow (/ x y) 2) 1/4) -1/4) (/.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 y y) (.f64 x x))) (.f64 y y)))
#s(approx y y)
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 y x) (*.f64 x x))) y))
#s(approx (+ (* (/ x y) 1/2) -1/2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) y))
#s(approx (* (+ (* (/ x y) 1/2) -1/2) x) (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 x (/.f64 x y)))))

eval44.0ms (2.5%)

Memory: -5.9MiB live, 40.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 6 104 to 813 computations (86.7% saved)

prune5.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	178	5	183

Accuracy

100.0%

Counts

183 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)))
✓	86.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
✓	44.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	56.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
✓	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 213 to 104 computations (51.2% saved)

regimes16.0ms (0.9%)

Memory

-25.3MiB live, 23.7MiB allocated; 6ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
59.6%	2	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
83.3%	2	`x`
84.2%	2	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
56.8%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
56.8%	1	`x`
56.8%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch10.0ms (0.5%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.7682790020237192e-102	3.920379012388365e-100

Samples

4.0ms

112×

valid

Compiler

Compiled 194 to 166 computations (14.4% saved)

Precisions

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

ival-mult!: 1.0ms (52.2% of total)

ival-div!: 1.0ms (52.2% of total)

adjust: 0.0ms (0% of total)

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

derivations19.0ms (1.1%)

Memory

-25.2MiB live, 20.6MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 60 to 19 computations (68.3% saved)

preprocess35.0ms (2%)

Memory: 13.1MiB live, 57.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 258 to 128 computations (50.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze34.0ms (1.9%)

sample827.0ms (46.8%)

explain115.0ms (6.5%)

preprocess35.0ms (2%)

series10.0ms (0.6%)

rewrite81.0ms (4.6%)

eval6.0ms (0.3%)

prune3.0ms (0.2%)

series14.0ms (0.8%)

rewrite86.0ms (4.8%)

eval16.0ms (0.9%)

prune37.0ms (2.1%)

series19.0ms (1.1%)

rewrite135.0ms (7.6%)

eval28.0ms (1.6%)

prune6.0ms (0.3%)

series21.0ms (1.2%)

rewrite158.0ms (9%)

eval44.0ms (2.5%)

prune5.0ms (0.3%)

regimes16.0ms (0.9%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch10.0ms (0.5%)

derivations19.0ms (1.1%)

preprocess35.0ms (2%)

end0.0ms (0%)

Profiling