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

0.4MiB live, 0.4MiB 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)

sample1.1s (52.8%)

Memory

-2.5MiB live, 1 332.7MiB allocated; 340ms collecting garbage

Samples

826.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-sub: 119.0ms (44.3% of total)

ival-div: 99.0ms (36.8% of total)

ival-add: 39.0ms (14.5% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain97.0ms (4.9%)

Memory

-23.7MiB live, 128.8MiB allocated; 62ms 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

26.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 6.0ms (46.9% of total)

ival-div: 4.0ms (31.2% of total)

ival-add: 2.0ms (15.6% 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)

preprocess249.0ms (12.4%)

Memory

12.3MiB live, 234.7MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	38	48
2	70	48
3	104	48
4	172	48
5	368	42
6	1789	42
7	5803	42
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

1.8MiB live, 1.8MiB 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)

series4.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

6 → 26

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
#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 x #s(hole binary64 x))
#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 y #s(hole binary64 y))
#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)) x (/ (- y x) 2) (- y x) y 2)
1.0ms	x	@	-inf	((+ x (/ (- y x) 2)) x (/ (- y x) 2) (- y x) y 2)
1.0ms	y	@	-inf	((+ x (/ (- y x) 2)) x (/ (- y x) 2) (- y x) y 2)
1.0ms	y	@	0	((+ x (/ (- y x) 2)) x (/ (- y x) 2) (- y x) y 2)
1.0ms	y	@	inf	((+ x (/ (- y x) 2)) x (/ (- y x) 2) (- y x) y 2)

rewrite148.0ms (7.4%)

Memory

-4.4MiB live, 191.7MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	346
0	92	322
1	443	314
0	3806	310

Stop Event

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

Counts

32 → 67

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

eval7.0ms (0.3%)

Memory: 16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 985 to 241 computations (75.5% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Accuracy

100.0%

Counts

66 → 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)))
▶	50.5%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	50.3%	#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)))

▶

50.5%

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

▶

50.3%

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

Compiler

Compiled 35 to 28 computations (20% saved)

series88.0ms (4.4%)

Memory

-36.9MiB live, 16.4MiB allocated; 12ms collecting garbage

Counts

10 → 27

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)
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 x #s(hole binary64 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 y #s(hole 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) #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
83.0ms	x	@	inf	((+ x (/ (- y x) 2)) (* 1/2 x) 1/2 x (+ x (/ (- y x) 2)) (* 1/2 y) y (+ x (/ (- y x) 2)) (* (+ y x) 1/2) (+ y x))
1.0ms	y	@	0	((+ x (/ (- y x) 2)) (* 1/2 x) 1/2 x (+ x (/ (- y x) 2)) (* 1/2 y) y (+ x (/ (- y x) 2)) (* (+ y x) 1/2) (+ y x))
1.0ms	x	@	-inf	((+ x (/ (- y x) 2)) (* 1/2 x) 1/2 x (+ x (/ (- y x) 2)) (* 1/2 y) y (+ x (/ (- y x) 2)) (* (+ y x) 1/2) (+ y x))
1.0ms	y	@	-inf	((+ x (/ (- y x) 2)) (* 1/2 x) 1/2 x (+ x (/ (- y x) 2)) (* 1/2 y) y (+ x (/ (- y x) 2)) (* (+ y x) 1/2) (+ y x))
1.0ms	y	@	inf	((+ x (/ (- y x) 2)) (* 1/2 x) 1/2 x (+ x (/ (- y x) 2)) (* 1/2 y) y (+ x (/ (- y x) 2)) (* (+ y x) 1/2) (+ y x))

rewrite144.0ms (7.2%)

Memory

0.6MiB live, 199.7MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	383
0	92	358
1	407	357
0	3282	351

Stop Event

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

Counts

37 → 151

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

eval17.0ms (0.8%)

Memory: 6.0MiB live, 51.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 007 to 464 computations (84.6% saved)

prune8.0ms (0.4%)

Memory

-21.9MiB live, 24.7MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	152	3	155

Accuracy

100.0%

Counts

155 → 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)))
✓	50.5%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	50.3%	#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)))

✓

50.5%

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

✓

50.3%

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

Compiler

Compiled 77 to 46 computations (40.3% saved)

regimes6.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB 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	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
2.0ms	x
2.0ms	y

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)

regimes5.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB 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) 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) y))

Calls

3 calls:

2.0ms	y
1.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
56.2%	2	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
75.3%	3	`x`
75.6%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.3%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
50.3%	1	`x`
50.3%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch54.0ms (2.7%)

Memory

-11.0MiB live, 35.1MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	8.310209683521648e-41	1.4408896032606799e-38
43.0ms	-7.832299150667281e-16	-9.48801230353535e-23

Samples

42.0ms

256×

valid

Compiler

Compiled 362 to 331 computations (8.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (40.9% of total)

ival-sub: 1.0ms (20.4% of total)

ival-add: 1.0ms (20.4% 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)

simplify46.0ms (2.3%)

Memory

-26.7MiB live, 72.3MiB allocated; 12ms 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 y #s(literal -5104235503814077/10633823966279326983230456482242756608 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 6436481271636733/3064991081731777716716694054300618367237478244367204352 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))

Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal -5104235503814077/10633823966279326983230456482242756608 binary64)) #s(approx (+ x (/ (- y x) 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 6436481271636733/3064991081731777716716694054300618367237478244367204352 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))))
(if (or (<=.f64 y #s(literal -5104235503814077/10633823966279326983230456482242756608 binary64)) (not (<=.f64 y #s(literal 6436481271636733/3064991081731777716716694054300618367237478244367204352 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))

derivations47.0ms (2.3%)

Memory

-3.6MiB live, 41.1MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 55 to 21 computations (61.8% saved)

preprocess19.0ms (1%)

Memory: 37.9MiB live, 37.9MiB allocated; 0ms 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%)

sample1.1s (52.8%)

explain97.0ms (4.9%)

preprocess249.0ms (12.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.2%)

rewrite148.0ms (7.4%)

eval7.0ms (0.3%)

prune3.0ms (0.1%)

series88.0ms (4.4%)

rewrite144.0ms (7.2%)

eval17.0ms (0.8%)

prune8.0ms (0.4%)

regimes6.0ms (0.3%)

regimes5.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch54.0ms (2.7%)

simplify46.0ms (2.3%)

derivations47.0ms (2.3%)

preprocess19.0ms (1%)

end0.0ms (0%)

Profiling