Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze14.0ms (1%)

Memory

22.7MiB live, 22.7MiB allocated; 0ms 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 7 to 6 computations (14.3% saved)

sample599.0ms (41.1%)

Memory

-24.1MiB live, 549.3MiB allocated; 81ms collecting garbage

Samples

395.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div!: 44.0ms (53.1% of total)

ival-add!: 38.0ms (45.9% of total)

adjust: 1.0ms (1.2% of total)

Bogosity

preprocess14.0ms (0.9%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	33	34
2	65	34
3	84	34

Stop Event

1×

saturated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 8 computations (0% saved)

series4.0ms (0.3%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

4 → 25

Calls

Call 1

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

Outputs
#s(approx (/ x (+ x y)) #s(hole binary64 (/ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 1))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

rewrite204.0ms (14%)

Memory

-15.5MiB live, 214.1MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	495
0	153	457
1	946	425
0	8620	418

Stop Event

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

Counts

29 → 46

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
x
(+.f64 x y)
y
#s(approx (/ x (+ x y)) #s(hole binary64 (/ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 1))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

eval4.0ms (0.3%)

Memory: 9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 316 to 169 computations (46.5% saved)

prune2.0ms (0.2%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	5	41

Accuracy

100.0%

Counts

41 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
▶	50.3%	(/.f64 x #s(approx (+ x y) y))
▶	99.8%	(*.f64 x (/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x))))
▶	51.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶	51.3%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 30 to 30 computations (0% saved)

series8.0ms (0.5%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

14 → 60

Calls

Call 1

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

Outputs
#s(approx (/ x (+ x y)) #s(hole binary64 (/ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (- 1 (/ y x)) #s(hole binary64 (* -1 (/ y x))))
#s(approx (- 1 (/ y x)) #s(hole binary64 (/ (- x y) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (/ 1 y)))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (+ (* -1 (/ x (pow y 2))) (/ 1 y))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (neg (+ y x)) #s(hole binary64 (* -1 y)))
#s(approx (neg (+ y x)) #s(hole binary64 (- (* -1 x) y)))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (/ x (+ x y)) #s(hole binary64 1))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (/ 1 x)))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (/ (+ 1 (* -1 (/ y x))) x)))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)))
#s(approx (neg (+ y x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (+ y x)) #s(hole binary64 (* x (- (* -1 (/ y x)) 1))))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (* -1 (/ (- (/ y x) 1) x))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))))
#s(approx (neg (+ y x)) #s(hole binary64 (* -1 (* x (+ 1 (/ y x))))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (+ (* -1 (/ y (pow x 2))) (/ 1 x))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (neg (+ y x)) #s(hole binary64 (- (* -1 y) x)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (- 1 (/ y x)) #s(hole binary64 (* y (- (/ 1 y) (/ 1 x)))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (/ (+ 1 (* -1 (/ x y))) y)))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)))
#s(approx (neg (+ y x)) #s(hole binary64 (* y (- (* -1 (/ x y)) 1))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (- 1 (/ y x)) #s(hole binary64 (* -1 (* y (- (/ 1 x) (/ 1 y))))))
#s(approx (* x (/ -1 (neg (+ y x)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y))))
#s(approx (* x (/ -1 (neg (+ y x)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (/ (pow x 4) y)) y)) (* -1 (pow x 2))) y))) y))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (* -1 (/ (- (/ x y) 1) y))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))))
#s(approx (/ -1 (neg (+ y x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))))
#s(approx (neg (+ y x)) #s(hole binary64 (* -1 (* y (+ 1 (/ x y))))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

rewrite216.0ms (14.9%)

Memory

0.7MiB live, 330.1MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1235
0	298	1124
1	1696	1085
0	8828	1077

Stop Event

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

Counts

74 → 133

Calls

Call 1

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

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

eval13.0ms (0.9%)

Memory: -3.6MiB live, 43.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 210 to 555 computations (54.1% saved)

prune8.0ms (0.5%)

Memory

-28.1MiB live, 17.6MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	123	5	128

Accuracy

100.0%

Counts

128 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	50.3%	(/.f64 x #s(approx (+ x y) y))
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) x)
✓	51.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	51.3%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 29 to 29 computations (0% saved)

series2.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

6 → 45

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (/ x y)))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ 1 y)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* -1 (/ x (pow y 2))) (/ 1 y))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 1))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (+ 1 (* -1 (/ y x))) x)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (/ y x) 1) x))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* -1 (/ y (pow x 2))) (/ 1 x))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (+ 1 (* -1 (/ x y))) y)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (/ x y) 1) y))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

rewrite182.0ms (12.5%)

Memory

11.6MiB live, 237.5MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	979
0	240	898
1	1439	880
0	8370	872

Stop Event

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

Counts

51 → 72

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) x)
(/.f64 #s(literal 1 binary64) (+.f64 y x))
#s(literal 1 binary64)
(+.f64 y x)
y
x
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (/ x y)))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ 1 y)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* -1 (/ x (pow y 2))) (/ 1 y))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 1))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (+ 1 (* -1 (/ y x))) x)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (/ y x) 1) x))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* -1 (/ y (pow x 2))) (/ 1 x))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (+ 1 (* -1 (/ x y))) y)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (* (/ 1 (+ y x)) x) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (/ x y) 1) y))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))))
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

eval7.0ms (0.5%)

Memory: 20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 682 to 330 computations (51.6% saved)

prune4.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	68	5	73

Accuracy

100.0%

Counts

73 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	50.3%	(/.f64 x #s(approx (+ x y) y))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) x)
✓	51.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	51.3%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 53 to 49 computations (7.5% saved)

regimes36.0ms (2.5%)

Memory

-34.9MiB live, 25.5MiB allocated; 47ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	x
2.0ms	y
2.0ms	(/.f64 x (+.f64 x y))

Results

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

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes5.0ms (0.3%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
99.1%	2	`(/.f64 x (+.f64 x y))`
77.6%	3	`x`
79.4%	3	`y`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes1.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 4 to 4 computations (0% saved)

regimes6.0ms (0.4%)

Memory

-32.9MiB live, 13.8MiB allocated; 6ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
1.0ms	y
1.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
51.3%	1	`x`
51.3%	1	`y`
51.3%	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2037788614015232e-6	0.9986946188800682

Compiler

Compiled 7 to 9 computations (-28.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2037788614015232e-6	0.9986946188800682

Compiler

Compiled 7 to 9 computations (-28.6% saved)

derivations103.0ms (7.1%)

Memory

4.1MiB live, 142.0MiB allocated; 33ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 17 computations (22.7% saved)

preprocess23.0ms (1.6%)

Memory: 20.7MiB live, 65.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 26 to 21 computations (19.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze14.0ms (1%)

sample599.0ms (41.1%)

preprocess14.0ms (0.9%)

series4.0ms (0.3%)

rewrite204.0ms (14%)

eval4.0ms (0.3%)

prune2.0ms (0.2%)

series8.0ms (0.5%)

rewrite216.0ms (14.9%)

eval13.0ms (0.9%)

prune8.0ms (0.5%)

series2.0ms (0.2%)

rewrite182.0ms (12.5%)

eval7.0ms (0.5%)

prune4.0ms (0.2%)

regimes36.0ms (2.5%)

regimes5.0ms (0.3%)

regimes1.0ms (0.1%)

regimes6.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations103.0ms (7.1%)

preprocess23.0ms (1.6%)

end0.0ms (0%)

Profiling