Metrics for Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

start0.0ms (0%)

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

analyze115.0ms (2%)

Memory

-3.4MiB live, 49.1MiB allocated; 67ms 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
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample856.0ms (15.1%)

Memory

50.8MiB live, 794.1MiB allocated; 279ms collecting garbage

Samples

569.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-div!: 93.0ms (56.1% of total)

ival-sub!: 43.0ms (25.9% of total)

ival-add!: 28.0ms (16.9% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

preprocess55.0ms (1%)

Memory

14.2MiB live, 59.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	75
1	138	70
2	609	70
3	2762	70

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

series3.1s (54.7%)

Memory

-25.9MiB live, 56.8MiB allocated; 3.9s collecting garbage

Counts

6 → 28

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
2.9s	z	-inf
2.0ms	y	-inf
2.0ms	x	-inf
2.0ms	x	inf
1.0ms	x	0

rewrite231.0ms (4.1%)

Memory

-306.4MiB live, 213.0MiB allocated; 62ms collecting garbage

Counts

6 → 15

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 533 to 149 computations (72% saved)

prune6.0ms (0.1%)

Memory

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

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	30	7	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	7	38

Accuracy

100.0%

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.7%	(/.f64 (fma.f64 x z (-.f64 y x)) z)
▶	74.6%	(+.f64 x (/.f64 #s(approx (- y x) y) z))
▶	98.4%	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
▶	66.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	42.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	63.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
	62.9%	#s(approx (+ x (/ (- y x) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))

Compiler

Compiled 156 to 114 computations (26.9% saved)

series167.0ms (3%)

Memory

-6.8MiB live, 180.8MiB allocated; 39ms collecting garbage

Counts

16 → 35

Calls

Call 1

Inputs
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
x
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 y z)
y
z
(/.f64 x z)
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
(+.f64 x (/.f64 #s(approx (- y x) y) z))
(/.f64 #s(approx (- y x) y) z)
#s(approx (- y x) y)

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

Calls

9 calls:

Time	Variable	Point
5.0ms	z	-inf
5.0ms	x	-inf
2.0ms	y	-inf
2.0ms	x	inf
2.0ms	z	inf

rewrite232.0ms (4.1%)

Memory

5.5MiB live, 100.7MiB allocated; 146ms collecting garbage

Counts

16 → 46

Calls

Call 1

Inputs
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
x
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 y z)
y
z
(/.f64 x z)
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
(+.f64 x (/.f64 #s(approx (- y x) y) z))
(/.f64 #s(approx (- y x) y) z)
#s(approx (- y x) y)

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

eval14.0ms (0.3%)

Memory: -31.2MiB live, 13.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 083 to 236 computations (78.2% saved)

prune3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	68	7	75

Accuracy

100.0%

Counts

75 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.7%	(/.f64 (fma.f64 x z (-.f64 y x)) z)
✓	74.6%	(+.f64 x (/.f64 #s(approx (- y x) y) z))
✓	98.4%	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
▶	51.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (*.f64 x z) x) z))
✓	66.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	42.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	63.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 78 to 56 computations (28.2% saved)

series184.0ms (3.2%)

Memory

-0.2MiB live, 97.0MiB allocated; 51ms collecting garbage

Counts

10 → 44

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (*.f64 x z) x) z))
(/.f64 (-.f64 (*.f64 x z) x) z)
(-.f64 (*.f64 x z) x)
(*.f64 x z)
x
z
(/.f64 (fma.f64 x z (-.f64 y x)) z)
(fma.f64 x z (-.f64 y x))
(-.f64 y x)
y

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

Calls

9 calls:

Time	Variable	Point
2.0ms	x	-inf
1.0ms	z	-inf
1.0ms	x	inf
1.0ms	x	0
1.0ms	y	inf

rewrite196.0ms (3.5%)

Memory

-1.2MiB live, 232.7MiB allocated; 33ms collecting garbage

Counts

10 → 33

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (*.f64 x z) x) z))
(/.f64 (-.f64 (*.f64 x z) x) z)
(-.f64 (*.f64 x z) x)
(*.f64 x z)
x
z
(/.f64 (fma.f64 x z (-.f64 y x)) z)
(fma.f64 x z (-.f64 y x))
(-.f64 y x)
y

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

eval13.0ms (0.2%)

Memory: 37.9MiB live, 37.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 102 to 264 computations (76% saved)

prune11.0ms (0.2%)

Memory

-27.8MiB live, 16.6MiB allocated; 11ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	65	7	72

Accuracy

100.0%

Counts

72 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.7%	(/.f64 (fma.f64 x z (-.f64 y x)) z)
✓	74.6%	(+.f64 x (/.f64 #s(approx (- y x) y) z))
✓	98.4%	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
✓	51.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (*.f64 x z) x) z))
✓	66.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	42.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	63.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes81.0ms (1.4%)

Memory

39.6MiB live, 135.4MiB allocated; 54ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 3

3 → 3

4 → 3

9 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Call 2

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Call 3

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))

Call 4

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 #s(approx (- y x) y) z))

Outputs
(+.f64 x (/.f64 #s(approx (- y x) y) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 #s(approx (- y x) y) z))

Call 5

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

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

Calls

18 calls:

26.0ms	y
21.0ms	x
6.0ms	z
3.0ms	x
3.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
42.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
42.0%	1	`z`
42.0%	1	`x`
42.0%	1	`y`
63.0%	1	`z`
63.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
82.2%	3	`y`
80.1%	3	`x`
86.8%	3	`y`
85.6%	3	`z`
85.8%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
87.3%	3	`x`
90.2%	3	`y`
98.3%	3	`z`
100.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 142 to 97 computations (31.7% saved)

bsearch182.0ms (3.2%)

Memory

-18.6MiB live, 27.9MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	2.757326357288942e-14	1.3220543503115447e-6
119.0ms	-3.1045344833392687	-0.0568844484225052

Samples

118.0ms

256×

valid

Compiler

Compiled 362 to 300 computations (17.1% saved)

Precisions

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

ival-div!: 2.0ms (50.2% of total)

ival-sub!: 1.0ms (25.1% of total)

ival-add!: 1.0ms (25.1% of total)

adjust: 0.0ms (0% of total)

bsearch24.0ms (0.4%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.076330161422281e-60	8.969611944347148e-56
13.0ms	-4.394958148921965e+36	-5.8380835319756314e+29

Samples

11.0ms

272×

valid

Compiler

Compiled 452 to 352 computations (22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div!: 2.0ms (58% of total)

ival-sub!: 1.0ms (29% of total)

ival-add!: 1.0ms (29% of total)

adjust: 0.0ms (0% of total)

bsearch21.0ms (0.4%)

Memory

-32.4MiB live, 14.5MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	60963616156.80434	452896498490.4459
8.0ms	-4.394958148921965e+36	-5.8380835319756314e+29

Samples

8.0ms

208×

valid

Compiler

Compiled 370 to 297 computations (19.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub!: 1.0ms (41.4% of total)

ival-div!: 1.0ms (41.4% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 147 to 36 computations (75.5% saved)

preprocess164.0ms (2.9%)

Memory: 22.2MiB live, 67.3MiB allocated; 18ms collecting garbage
Compiler: Compiled 154 to 42 computations (72.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze115.0ms (2%)

sample856.0ms (15.1%)

preprocess55.0ms (1%)

series3.1s (54.7%)

rewrite231.0ms (4.1%)

eval7.0ms (0.1%)

prune6.0ms (0.1%)

series167.0ms (3%)

rewrite232.0ms (4.1%)

eval14.0ms (0.3%)

prune3.0ms (0.1%)

series184.0ms (3.2%)

rewrite196.0ms (3.5%)

eval13.0ms (0.2%)

prune11.0ms (0.2%)

regimes81.0ms (1.4%)

bsearch182.0ms (3.2%)

bsearch24.0ms (0.4%)

bsearch21.0ms (0.4%)

derivations1.0ms (0%)

preprocess164.0ms (2.9%)

end0.0ms (0%)

Profiling