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

analyze17.0ms (1%)

Memory

4.3MiB live, 51.9MiB allocated; 4ms 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)

sample523.0ms (29%)

Memory

20.7MiB live, 593.7MiB allocated; 67ms collecting garbage

Samples

327.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-div!: 86.0ms (73% of total)

ival-add!: 30.0ms (25.5% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

preprocess14.0ms (0.8%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	33	34
2	66	34
3	85	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)

series23.0ms (1.3%)

Memory

-33.3MiB live, 10.1MiB allocated; 8ms collecting garbage

Counts

4 → 27

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))
#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 y #s(hole binary64 y))
#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
19.0ms	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	@	0	((/ x (+ x y)) x (+ x y) y)
1.0ms	y	@	inf	((/ x (+ x y)) x (+ x y) y)

rewrite272.0ms (15.1%)

Memory

21.4MiB live, 295.0MiB allocated; 116ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	503
0	155	462
1	945	438
0	8613	432

Stop Event

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

Counts

31 → 44

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))
#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 y #s(hole binary64 y))
#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 (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 (neg.f64 x) (+.f64 y x)))
(neg.f64 (/.f64 x (neg.f64 (+.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 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))) x))
#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 (fma.f64 (neg.f64 x) (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (-.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)
#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 #s(literal 1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (/.f64 (.f64 y y) x) (-.f64 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x))))))
#s(approx (+ x y) x)
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) x) y)) x)))
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 y y) 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 (fma.f64 (neg.f64 y) (/.f64 y (.f64 (.f64 x x) x)) (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)))
#s(approx y y)
#s(approx (/ x (+ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
#s(approx (/ x (+ x y)) (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 x y) (-.f64 x (/.f64 (.f64 x x) y))) y))
#s(approx (/ x (+ x y)) (/.f64 (-.f64 (-.f64 x (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) y) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (.f64 y y)))) (/.f64 (*.f64 x x) y)) y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (/ x (+ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
#s(approx (/ x (+ x y)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) y) (*.f64 x x)) y) x) y))
#s(approx (/ x (+ x y)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) 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 (0.2%)

Memory: 17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 317 to 169 computations (46.7% saved)

prune2.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Accuracy

100.0%

Counts

41 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
▶	50.0%	(/.f64 x #s(approx (+ x y) y))
▶	51.7%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶	51.7%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 23 to 23 computations (0% saved)

series9.0ms (0.5%)

Memory

-29.2MiB live, 20.6MiB allocated; 5ms collecting garbage

Counts

9 → 34

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ 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 (+ x y)) (+ x y))
1.0ms	y	@	inf	((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ 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 (+ x y)) (+ x y))
1.0ms	x	@	inf	((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ y x) y x (/ x (+ x y)) (+ x y))

rewrite162.0ms (9%)

Memory

31.6MiB live, 307.6MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	615
0	175	569
1	1006	546
0	8714	540

Stop Event

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

Counts

43 → 87

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

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

eval7.0ms (0.4%)

Memory: 14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 547 to 289 computations (47.2% saved)

prune5.0ms (0.3%)

Memory

-49.8MiB live, 5.0MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	74	5	79

Accuracy

100.0%

Counts

79 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	50.0%	(/.f64 x #s(approx (+ x y) y))
▶	51.7%	#s(approx (/ x (+ x y)) (/.f64 (-.f64 x y) x))
✓	51.7%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	51.7%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 30 to 30 computations (0% saved)

series3.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

5 → 34

Calls

Call 1

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

Calls

6 calls:

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

rewrite158.0ms (8.8%)

Memory

40.9MiB live, 269.1MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	601
0	172	552
1	1009	524
0	8776	520

Stop Event

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

Counts

39 → 82

Calls

Call 1

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

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

eval10.0ms (0.5%)

Memory: -23.9MiB live, 21.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 579 to 302 computations (47.8% saved)

prune3.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	70	5	75

Accuracy

100.0%

Counts

75 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	50.0%	(/.f64 x #s(approx (+ x y) y))
✓	51.7%	#s(approx (/ x (+ x y)) (/.f64 (-.f64 x y) x))
✓	51.7%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	51.7%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 49 to 46 computations (6.1% saved)

regimes6.0ms (0.3%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Counts

5 → 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)))
#s(approx (/ x (+ x y)) (/.f64 (-.f64 x y) x))
(/.f64 x (+.f64 x y))

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

Calls

3 calls:

2.0ms	y
2.0ms	x
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)

regimes418.0ms (23.2%)

Memory

-93.4MiB live, 66.5MiB allocated; 728ms collecting garbage

Counts

4 → 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)))
#s(approx (/ x (+ x y)) (/.f64 (-.f64 x 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:

414.0ms	x
2.0ms	y
2.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
99.4%	2	`(/.f64 x (+.f64 x y))`
77.6%	3	`x`
78.6%	3	`y`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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
98.4%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 4 to 4 computations (0% saved)

regimes3.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
51.7%	1	`x`
51.7%	1	`y`
51.7%	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.3544128520079843e-26	0.9999998505453624

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	3.3544128520079843e-26	0.9999998505453624

Compiler

Compiled 7 to 9 computations (-28.6% saved)

derivations117.0ms (6.5%)

Memory

-22.1MiB live, 118.5MiB allocated; 11ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 17 computations (22.7% saved)

preprocess44.0ms (2.4%)

Memory: 13.4MiB live, 64.4MiB allocated; 6ms 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%)

analyze17.0ms (1%)

sample523.0ms (29%)

preprocess14.0ms (0.8%)

series23.0ms (1.3%)

rewrite272.0ms (15.1%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

series9.0ms (0.5%)

rewrite162.0ms (9%)

eval7.0ms (0.4%)

prune5.0ms (0.3%)

series3.0ms (0.2%)

rewrite158.0ms (8.8%)

eval10.0ms (0.5%)

prune3.0ms (0.2%)

regimes6.0ms (0.3%)

regimes418.0ms (23.2%)

regimes2.0ms (0.1%)

regimes3.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations117.0ms (6.5%)

preprocess44.0ms (2.4%)

end0.0ms (0%)

Profiling