Metrics for Numeric.Interval.Internal:bisect from intervals-0.7.1, A

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (36.4%)

Memory

12.1MiB live, 1 144.5MiB allocated; 278ms collecting garbage

Samples

841.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 571.0ms

ival-add: 225.0ms (39.4% of total)

ival-sub: 169.0ms (29.6% of total)

ival-div: 160.0ms (28% of total)

ival-true: 6.0ms (1.1% of total)

exact: 6.0ms (1.1% of total)

ival-assert: 4.0ms (0.7% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain89.0ms (2.8%)

Memory

7.9MiB live, 106.2MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
-	-	`(-.f64 y x)`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (-.f64 y x) #s(literal 2 binary64))`
-	-	`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

41.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 20.0ms (71.9% of total)

ival-div: 4.0ms (14.4% of total)

ival-sub: 3.0ms (10.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess244.0ms (7.7%)

Memory

36.3MiB live, 163.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	33	41
2	62	41
3	94	41
4	158	41
5	340	35
6	1612	35
7	5276	35
0	6	7
0	9	7
1	15	7
2	22	7
3	31	7
4	59	7
5	159	7
6	955	7
7	5206	7
0	8045	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (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 (-.f64 y x) #s(literal 2 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify235.0ms (7.4%)

Memory

-30.6MiB live, 97.7MiB allocated; 125ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	22	18
3	31	18
4	59	18
5	159	18
6	955	18
7	5206	18
0	8045	18

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (2.5%)

Memory

-28.4MiB live, 16.6MiB allocated; 8ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (-.f64 y x) #s(literal 2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0078125	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))

Samples

74.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 64.0ms (95.4% of total)

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

ival-add: 1.0ms (1.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

3 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x))
1.0ms	y	@	inf	((+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x))
0.0ms	y	@	-inf	((+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x))
0.0ms	x	@	-inf	((+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x))
0.0ms	x	@	0	((+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x))

simplify152.0ms (4.8%)

Memory

-9.3MiB live, 177.6MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	253
1	214	237
2	660	219
3	2499	219
0	8322	219

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite104.0ms (3.3%)

Memory

32.0MiB live, 78.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	42	15
0	312	15

Stop Event

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

Counts

3 → 30

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 637 to 147 computations (76.9% saved)

prune49.0ms (1.5%)

Memory

-50.1MiB live, 6.3MiB allocated; 9ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	3	40

Accuracy

100.0%

Counts

40 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
▶	46.9%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	54.3%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Status

Accuracy

Program

▶

100.0%

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

▶

46.9%

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

▶

54.3%

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

Compiler

Compiled 35 to 28 computations (20% saved)

simplify213.0ms (6.7%)

Memory

51.5MiB live, 236.2MiB allocated; 35ms collecting garbage

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	18	56
1	28	56
2	37	56
3	58	56
4	103	56
5	239	56
6	1139	50
7	5449	50
0	8103	50

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (3%)

Memory

-13.1MiB live, 77.2MiB allocated; 9ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	33.97936795964392	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	29.23827268383006	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Samples

32.0ms

256×

valid

Compiler

Compiled 44 to 13 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (42.7% of total)

ival-add: 3.0ms (25.6% of total)

ival-sub: 2.0ms (17.1% of total)

ival-div: 2.0ms (17.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

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

Counts

7 → 25

Calls

Call 1

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

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

Calls

6 calls:

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

simplify239.0ms (7.5%)

Memory

-22.5MiB live, 180.4MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	257
1	194	257
2	486	225
3	1768	225
4	6139	225
0	8121	225

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

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

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

rewrite61.0ms (1.9%)

Memory

-27.2MiB live, 71.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	18	49
1	59	49
0	383	49

Stop Event

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

Counts

7 → 31

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 687 to 125 computations (81.8% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	39	3	42

Accuracy

100.0%

Counts

42 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

46.9%

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

✓

54.3%

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

Compiler

Compiled 77 to 46 computations (40.3% saved)

regimes6.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.8%	2	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
79.7%	3	`x`
76.8%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.2%)

Memory

-36.9MiB live, 9.1MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
1.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
54.3%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
54.3%	1	`y`
54.3%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch19.0ms (0.6%)

Memory

39.4MiB live, 39.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.810103105150363e-70	9.362788600445722e-68
8.0ms	-1.989772753603199e+51	-3.0108917526419835e+50

Samples

9.0ms

208×

valid

Compiler

Compiled 296 to 271 computations (8.4% saved)

Precisions

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

ival-sub: 1.0ms (24% of total)

ival-div: 1.0ms (24% of total)

ival-add: 1.0ms (24% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify41.0ms (1.3%)

Memory

-17.6MiB live, 76.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	55
1	29	55
2	36	55
3	46	55
4	86	55
5	420	55
6	3597	55

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -620000000000000005766198146491078392184812186107904 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 5463756259384863/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))))

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

Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal -620000000000000005766198146491078392184812186107904 binary64)) #s(approx (+ x (/ (- y x) 2)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 5463756259384863/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) #s(approx (+ x (/ (- y x) 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))))
(if (or (<=.f64 x #s(literal -620000000000000005766198146491078392184812186107904 binary64)) (not (<=.f64 x #s(literal 5463756259384863/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)))) #s(approx (+ x (/ (- y x) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- y x) 2)) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

derivations325.0ms (10.2%)

Memory

-15.6MiB live, 123.6MiB allocated; 14ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 55 to 21 computations (61.8% saved)

preprocess44.0ms (1.4%)

Memory: 28.6MiB live, 72.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 134 to 64 computations (52.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (36.4%)

explain89.0ms (2.8%)

preprocess244.0ms (7.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify235.0ms (7.4%)

localize79.0ms (2.5%)

series3.0ms (0.1%)

simplify152.0ms (4.8%)

rewrite104.0ms (3.3%)

eval4.0ms (0.1%)

prune49.0ms (1.5%)

simplify213.0ms (6.7%)

localize96.0ms (3%)

series5.0ms (0.2%)

simplify239.0ms (7.5%)

rewrite61.0ms (1.9%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes7.0ms (0.2%)

bsearch19.0ms (0.6%)

simplify41.0ms (1.3%)

derivations325.0ms (10.2%)

preprocess44.0ms (1.4%)

end0.0ms (0%)

Profiling