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

analyze40.0ms (1.2%)

Memory

6.0MiB live, 51.8MiB allocated; 14ms 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)

sample1.5s (45.7%)

Memory

8.6MiB live, 1 106.3MiB allocated; 524ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 627.0ms

ival-add: 380.0ms (60.6% of total)

ival-div: 239.0ms (38.1% of total)

ival-assert: 4.0ms (0.6% of total)

adjust: 3.0ms (0.5% of total)

Bogosity

explain316.0ms (9.8%)

Memory

-5.7MiB live, 90.4MiB allocated; 41ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

280.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-div: 102.0ms (93.8% of total)

ival-add: 5.0ms (4.6% of total)

ival-true: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

preprocess37.0ms (1.1%)

Memory

-1.2MiB live, 44.8MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	26	34
2	33	34
3	39	34
4	48	34
5	56	34
6	56	34
0	4	5
0	6	5
1	7	5
0	7	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

series8.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms 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
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	@	0	((/ 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)

rewrite433.0ms (13.5%)

Memory

1.1MiB live, 285.4MiB allocated; 185ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	503
0	155	462
1	945	438
0	8611	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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (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 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (.f64 y y))) x))
#s(approx (/ x (+ x y)) (fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 x y)))
#s(approx (/ x (+ x y)) (fma.f64 (.f64 x x) (-.f64 (.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 y #s(literal -3 binary64))) x) (pow.f64 y #s(literal -2 binary64))) (/.f64 x y)))
#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 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 y x)))
#s(approx (/ x (+ x y)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (-.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
#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 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64) y) x)))
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 y y)) x) y) x)))
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (/ x (+ x y)) (fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))) y) (pow.f64 x #s(literal -1 binary64))) 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 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) (-.f64 x (/.f64 (.f64 x x) y))) y))
#s(approx (/ x (+ x y)) (/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) 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 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y) x) y))
#s(approx (/ x (+ x y)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y) x) y))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))

eval8.0ms (0.3%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 637 to 178 computations (72.1% saved)

prune15.0ms (0.5%)

Memory

-53.9MiB live, 7.2MiB allocated; 17ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Accuracy

100.0%

Counts

46 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
▶	50.4%	(/.f64 x #s(approx (+ x y) y))
▶	47.3%	#s(approx (/ x (+ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
▶	49.9%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶	50.1%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 45 to 32 computations (28.9% saved)

series23.0ms (0.7%)

Memory

27.9MiB live, 27.9MiB allocated; 0ms collecting garbage

Counts

14 → 49

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
#s(approx (/ x (+ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(-.f64 x (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x x) y)
(*.f64 x 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 (/ (* x x) y)) y) #s(hole binary64 (/ x y)))
#s(approx (/ (- x (/ (* x x) y)) y) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 x))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 (* x (+ 1 (* -1 (/ x y))))))
#s(approx (/ (* x x) y) #s(hole binary64 (/ (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (* x x) y)) y) #s(hole binary64 (* -1 (/ (pow x 2) (pow y 2)))))
#s(approx (/ (- x (/ (* x x) y)) y) #s(hole binary64 (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 (* -1 (/ (pow x 2) y))))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 (* (pow x 2) (- (/ 1 x) (/ 1 y)))))
#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 x) y)) y) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 (/ (- (* x y) (pow x 2)) 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 (/ (* x x) y)) y) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 (+ x (* -1 (/ (pow x 2) 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 (- 1 (/ y x)) #s(hole binary64 (* -1 (* y (- (/ 1 x) (/ 1 y))))))
#s(approx (/ (- x (/ (* x x) y)) y) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (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
5.0ms	y	@	inf	((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ y x) y x (/ x (+ x y)) (/ (- x (/ (* x x) y)) y) (- x (/ (* x x) y)) (/ (* x x) y) (* x x) (/ x (+ x y)) (+ x y))
4.0ms	x	@	inf	((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ y x) y x (/ x (+ x y)) (/ (- x (/ (* x x) y)) y) (- x (/ (* x x) y)) (/ (* x x) y) (* x x) (/ x (+ x y)) (+ x y))
4.0ms	y	@	-inf	((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ y x) y x (/ x (+ x y)) (/ (- x (/ (* x x) y)) y) (- x (/ (* x x) y)) (/ (* x x) y) (* x x) (/ x (+ x y)) (+ x y))
3.0ms	x	@	-inf	((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ y x) y x (/ x (+ x y)) (/ (- x (/ (* x x) y)) y) (- x (/ (* x x) y)) (/ (* x x) y) (* x x) (/ x (+ x y)) (+ x y))
2.0ms	x	@	0	((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ y x) y x (/ x (+ x y)) (/ (- x (/ (* x x) y)) y) (- x (/ (* x x) y)) (/ (* x x) y) (* x x) (/ x (+ x y)) (+ x y))

rewrite402.0ms (12.5%)

Memory

4.6MiB live, 230.6MiB allocated; 150ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	913
0	219	854
1	1162	829
0	8475	822

Stop Event

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

Counts

63 → 174

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
#s(approx (/ x (+ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(-.f64 x (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x x) y)
(*.f64 x 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 (/ (* x x) y)) y) #s(hole binary64 (/ x y)))
#s(approx (/ (- x (/ (* x x) y)) y) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 x))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 (* x (+ 1 (* -1 (/ x y))))))
#s(approx (/ (* x x) y) #s(hole binary64 (/ (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (* x x) y)) y) #s(hole binary64 (* -1 (/ (pow x 2) (pow y 2)))))
#s(approx (/ (- x (/ (* x x) y)) y) #s(hole binary64 (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 (* -1 (/ (pow x 2) y))))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 (* (pow x 2) (- (/ 1 x) (/ 1 y)))))
#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 x) y)) y) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 (/ (- (* x y) (pow x 2)) 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 (/ (* x x) y)) y) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (- x (/ (* x x) y)) #s(hole binary64 (+ x (* -1 (/ (pow x 2) 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 (- 1 (/ y x)) #s(hole binary64 (* -1 (* y (- (/ 1 x) (/ 1 y))))))
#s(approx (/ (- x (/ (* x x) y)) y) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) 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 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64))))
(/.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) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y 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 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x)))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.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 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x)))) (/.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.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 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
y
x
#s(approx (/ x (+ x y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y))
(*.f64 (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x (/.f64 x y)) y) (/.f64 (.f64 x (/.f64 x y)) y))) (+.f64 (/.f64 x y) (/.f64 (.f64 x (/.f64 x y)) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 x y)) y) (/.f64 (.f64 (neg.f64 x) (/.f64 x y)) y))) (-.f64 (/.f64 x y) (/.f64 (.f64 (neg.f64 x) (/.f64 x y)) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (/.f64 x y)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 x (/.f64 x y)) y) (/.f64 (.f64 x (/.f64 x y)) y) (.f64 (/.f64 x y) (/.f64 (*.f64 x (/.f64 x y)) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 x y)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 x y)) y) (/.f64 (.f64 (neg.f64 x) (/.f64 x y)) y)) (.f64 (/.f64 x y) (/.f64 (.f64 (neg.f64 x) (/.f64 x y)) y)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 x y) (neg.f64 x)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)) (neg.f64 y))
(/.f64 (-.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 y) (.f64 x (/.f64 x y)))) (.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 y x) (.f64 y (.f64 x (/.f64 x y)))) (.f64 y y))
(/.f64 (fma.f64 (neg.f64 y) x (.f64 (neg.f64 y) (.f64 (neg.f64 x) (/.f64 x y)))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 y x (.f64 y (.f64 (neg.f64 x) (/.f64 x y)))) (*.f64 y y))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 x y) (neg.f64 x))) y)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) (.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y)
(/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (neg.f64 y)))
(neg.f64 (*.f64 (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y)))
(neg.f64 (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) y))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (/.f64 x y)) y)))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) y))
(-.f64 (/.f64 x y) (/.f64 (*.f64 x (/.f64 x y)) y))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (/.f64 x y)) y)))
(+.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) y))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x y)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (/.f64 x y)) x))
(/.f64 (fma.f64 (pow.f64 (.f64 x (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) (/.f64 x y)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (.f64 x (/.f64 x y)) #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 x (/.f64 x y)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (/.f64 x y)) #s(literal 2 binary64))) (+.f64 x (*.f64 x (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x y)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (.f64 x (/.f64 x y)) #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 x y))))))
(fma.f64 (neg.f64 x) (/.f64 x y) x)
(fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x y)) x)
(fma.f64 x (/.f64 (neg.f64 x) y) x)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 x (/.f64 x y)))) (/.f64 (pow.f64 (.f64 x (/.f64 x y)) #s(literal 2 binary64)) (+.f64 x (.f64 x (/.f64 x y)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 (pow.f64 (.f64 x (/.f64 x y)) #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 x y)))))) (/.f64 (pow.f64 (.f64 x (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 x x (+.f64 (pow.f64 (.f64 x (/.f64 x y)) #s(literal 2 binary64)) (.f64 x (*.f64 x (/.f64 x y)))))))
(-.f64 x (.f64 (.f64 (neg.f64 x) (/.f64 x y)) #s(literal -1 binary64)))
(-.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 (pow.f64 (.f64 x (/.f64 x y)) #s(literal 2 binary64)) (.f64 x (.f64 x (/.f64 x y)))))) (/.f64 (pow.f64 (.f64 (neg.f64 x) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 x x (+.f64 (pow.f64 (.f64 x (/.f64 x y)) #s(literal 2 binary64)) (.f64 x (*.f64 x (/.f64 x y)))))))
(+.f64 (*.f64 (neg.f64 x) (/.f64 x y)) x)
(+.f64 x (*.f64 (neg.f64 x) (/.f64 x y)))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 x x) #s(literal -1 binary64)))
(.f64 (.f64 x (/.f64 x y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 x y)))
(*.f64 x (/.f64 x y))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x x) y)
(neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 #s(approx (+ x y) y))))
(/.f64 (neg.f64 x) (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 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (.f64 y y))) x))
#s(approx (/ x (+ x y)) (*.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64))) x (pow.f64 y #s(literal -1 binary64))) x))
#s(approx (/ x (+ x y)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 y #s(literal -3 binary64))) x) (pow.f64 y #s(literal -2 binary64))) x (pow.f64 y #s(literal -1 binary64))) 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 (/ (- x (/ (* x x) y)) y) (/.f64 x y))
#s(approx (/ (- x (/ (* x x) y)) y) (.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (.f64 y y))) x))
#s(approx (- x (/ (* x x) y)) x)
#s(approx (- x (/ (* x x) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x))
#s(approx (/ (* x x) y) (*.f64 x (/.f64 x y)))
#s(approx (* x x) (*.f64 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 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 y x)))
#s(approx (/ x (+ x y)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (-.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
#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 (/ (* x x) y)) y) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
#s(approx (/ (- x (/ (* x x) y)) y) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (- x (/ (* x x) y)) (*.f64 (neg.f64 x) (/.f64 x y)))
#s(approx (- x (/ (* x x) y)) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (.f64 x x)))
#s(approx (+ x y) x)
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x))
#s(approx (/ x (+ x y)) (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 y 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 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 y y)) x) (neg.f64 y)) x)))
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (/ x (+ x y)) (fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))) y) (pow.f64 x #s(literal -1 binary64))) y #s(literal 1 binary64)))
#s(approx y y)
#s(approx (/ (- x (/ (* x x) y)) y) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y x)) (.f64 y y)))
#s(approx (- x (/ (* x x) y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y x)) y))
#s(approx (/ x (+ x y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y))
#s(approx (/ x (+ x y)) (/.f64 (+.f64 x (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) (.f64 x (/.f64 x y)))) y))
#s(approx (/ x (+ x y)) (/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y)))) y))
#s(approx (- 1 (/ y x)) (*.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) y))
#s(approx (/ (- x (/ (* x x) y)) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y))
#s(approx (- x (/ (* x x) y)) (fma.f64 (neg.f64 x) (/.f64 x y) x))
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))
#s(approx (/ x (+ x y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y))
#s(approx (/ x (+ x y)) (/.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) y))
#s(approx (/ x (+ x y)) (/.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y)) y))
#s(approx (- 1 (/ y x)) (*.f64 (neg.f64 y) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (/ (- x (/ (* x x) y)) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))

eval38.0ms (1.2%)

Memory: -2.1MiB live, 43.2MiB allocated; 16ms collecting garbage
Compiler: Compiled 3 477 to 683 computations (80.4% saved)

prune12.0ms (0.4%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	183	5	188

Accuracy

100.0%

Counts

188 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	50.4%	(/.f64 x #s(approx (+ x y) y))
✓	47.3%	#s(approx (/ x (+ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
✓	49.9%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	50.1%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 90 to 50 computations (44.4% saved)

regimes15.0ms (0.5%)

Memory

-25.2MiB live, 21.8MiB allocated; 6ms 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)))
(/.f64 x (+.f64 x y))
#s(approx (/ x (+ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))

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

Calls

3 calls:

8.0ms	y
4.0ms	x
3.0ms	(/.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 7 to 8 computations (-14.3% saved)

regimes8.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB 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
2.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 x (+.f64 x y))`
76.3%	3	`x`
74.3%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes2.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB 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:

2.0ms

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

Results

Accuracy	Segments	Branch
97.1%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.4%)

Memory

-45.3MiB live, 11.8MiB allocated; 11ms 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:

8.0ms	x
2.0ms	y
1.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
50.1%	1	`y`
50.1%	1	`x`
50.1%	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.26946650340462797	0.9977757944007708

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.26946650340462797	0.9977757944007708

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify97.0ms (3%)

Memory

11.0MiB live, 57.3MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	22	60
2	33	60
3	48	60
4	73	60
5	246	60
6	2206	60
7	5383	60

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations226.0ms (7%)

Memory

-5.9MiB live, 146.8MiB allocated; 38ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 60 to 17 computations (71.7% saved)

preprocess54.0ms (1.7%)

Memory: -12.8MiB live, 33.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 130 to 42 computations (67.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze40.0ms (1.2%)

sample1.5s (45.7%)

explain316.0ms (9.8%)

preprocess37.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

series8.0ms (0.2%)

rewrite433.0ms (13.5%)

eval8.0ms (0.3%)

prune15.0ms (0.5%)

series23.0ms (0.7%)

rewrite402.0ms (12.5%)

eval38.0ms (1.2%)

prune12.0ms (0.4%)

regimes15.0ms (0.5%)

regimes8.0ms (0.2%)

regimes2.0ms (0.1%)

regimes13.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify97.0ms (3%)

derivations226.0ms (7%)

preprocess54.0ms (1.7%)

end0.0ms (0%)

Profiling