Metrics for Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample664.0ms (48.3%)

Memory

5.9MiB live, 970.2MiB allocated; 277ms collecting garbage

Samples

410.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult!: 97.0ms (75.4% of total)

ival-sub!: 31.0ms (24.1% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

preprocess67.0ms (4.9%)

Memory

1.6MiB live, 47.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	57	44
2	253	42
3	868	42
4	4360	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Symmetry

(negabs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series7.0ms (0.5%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

6 → 12

Calls

Call 1

Inputs
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

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

Calls

6 calls:

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

rewrite124.0ms (9%)

Memory

-33.6MiB live, 81.1MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	140
0	45	131
1	193	130
0	1393	130
1	4116	130

Stop Event

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

Counts

18 → 77

Calls

Call 1

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

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

eval6.0ms (0.4%)

Memory: 13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 289 to 139 computations (51.9% saved)

prune4.0ms (0.3%)

Memory

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

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Accuracy

99.9%

Counts

71 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.2%	(-.f64 (.f64 y x) (.f64 (*.f64 y y) x))
▶	99.9%	(.f64 (-.f64 x (.f64 y x)) y)
▶	94.1%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
▶	63.1%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶	56.9%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
▶	57.3%	#s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) (.f64 y y)))

Compiler

Compiled 86 to 86 computations (0% saved)

series14.0ms (1%)

Memory

-19.5MiB live, 26.6MiB allocated; 3ms collecting garbage

Counts

19 → 24

Calls

Call 1

Inputs
(.f64 (-.f64 x (.f64 y x)) y)
(-.f64 x (*.f64 y x))
x
(*.f64 y x)
y
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 x y)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) (.f64 y y)))
(.f64 (neg.f64 x) (.f64 y y))
(neg.f64 x)
(*.f64 y y)
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* (- x (* y x)) y) (- x (* y x)) x (* y x) y (* (* x y) (- 1 y)) (* x y) (- 1 y) 1 (* (* x y) (- 1 y)) (* (neg x) (* y y)) (neg x) (* y y) (* (* x y) (- 1 y)) (- 1 y) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y))
3.0ms	x	@	-inf	((* (- x (* y x)) y) (- x (* y x)) x (* y x) y (* (* x y) (- 1 y)) (* x y) (- 1 y) 1 (* (* x y) (- 1 y)) (* (neg x) (* y y)) (neg x) (* y y) (* (* x y) (- 1 y)) (- 1 y) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y))
2.0ms	x	@	0	((* (- x (* y x)) y) (- x (* y x)) x (* y x) y (* (* x y) (- 1 y)) (* x y) (- 1 y) 1 (* (* x y) (- 1 y)) (* (neg x) (* y y)) (neg x) (* y y) (* (* x y) (- 1 y)) (- 1 y) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y))
2.0ms	y	@	inf	((* (- x (* y x)) y) (- x (* y x)) x (* y x) y (* (* x y) (- 1 y)) (* x y) (- 1 y) 1 (* (* x y) (- 1 y)) (* (neg x) (* y y)) (neg x) (* y y) (* (* x y) (- 1 y)) (- 1 y) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y))
2.0ms	x	@	inf	((* (- x (* y x)) y) (- x (* y x)) x (* y x) y (* (* x y) (- 1 y)) (* x y) (- 1 y) 1 (* (* x y) (- 1 y)) (* (neg x) (* y y)) (neg x) (* y y) (* (* x y) (- 1 y)) (- 1 y) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y))

rewrite193.0ms (14.1%)

Memory

43.1MiB live, 88.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	364
0	104	337
1	360	337
0	2025	337
1	5724	337

Stop Event

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

Counts

43 → 218

Calls

Call 1

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

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

eval37.0ms (2.7%)

Memory: -10.6MiB live, 40.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 724 to 384 computations (47% saved)

prune12.0ms (0.9%)

Memory

-30.7MiB live, 15.6MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	158	6	164

Accuracy

99.9%

Counts

164 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.2%	(-.f64 (.f64 y x) (.f64 (*.f64 y y) x))
✓	99.9%	(.f64 (-.f64 x (.f64 y x)) y)
✓	94.1%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
✓	63.1%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	56.9%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
✓	57.3%	#s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) (.f64 y y)))

Compiler

Compiled 43 to 43 computations (0% saved)

series5.0ms (0.4%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

6 → 10

Calls

Call 1

Inputs
(-.f64 (.f64 y x) (.f64 (*.f64 y y) x))
(*.f64 y x)
y
x
(.f64 (.f64 y y) x)
(*.f64 y y)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (* y x) (* (* y y) x)) (* y x) y x (* (* y y) x) (* y y))
1.0ms	y	@	-inf	((- (* y x) (* (* y y) x)) (* y x) y x (* (* y y) x) (* y y))
1.0ms	y	@	inf	((- (* y x) (* (* y y) x)) (* y x) y x (* (* y y) x) (* y y))
1.0ms	x	@	inf	((- (* y x) (* (* y y) x)) (* y x) y x (* (* y y) x) (* y y))
1.0ms	x	@	0	((- (* y x) (* (* y y) x)) (* y x) y x (* (* y y) x) (* y y))

rewrite85.0ms (6.2%)

Memory

-5.3MiB live, 85.6MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	148
0	43	127
1	191	127
0	1304	127
1	4788	127

Stop Event

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

Counts

16 → 99

Calls

Call 1

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

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

eval8.0ms (0.6%)

Memory: 18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 442 to 220 computations (50.2% saved)

prune4.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	92	6	98

Accuracy

99.9%

Counts

98 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.2%	(-.f64 (.f64 y x) (.f64 (*.f64 y y) x))
✓	99.9%	(.f64 (-.f64 x (.f64 y x)) y)
✓	94.1%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
✓	63.1%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	56.9%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
✓	57.3%	#s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) (.f64 y y)))

Compiler

Compiled 74 to 69 computations (6.8% saved)

regimes26.0ms (1.9%)

Memory

-30.0MiB live, 21.0MiB allocated; 7ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) (.f64 y y)))
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(.f64 (-.f64 x (.f64 y x)) y)
(-.f64 (.f64 y x) (.f64 (*.f64 y y) x))

Outputs
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Calls

3 calls:

17.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.4%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) (.f64 y y)))
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))

Outputs
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))

Calls

3 calls:

2.0ms	x
2.0ms	y
1.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
88.8%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
71.4%	2	`x`
97.4%	3	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes1.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) (.f64 y y)))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
91.7%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
56.9%	1	`x`
56.9%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
56.9%	1	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch53.0ms (3.9%)

Memory

-16.1MiB live, 30.9MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	0.10003494722849415	93.38689057677414
8.0ms	-249.02731976862125	-0.03459771979788544

Samples

43.0ms

256×

valid

Compiler

Compiled 266 to 299 computations (-12.4% saved)

Precisions

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

ival-mult!: 2.0ms (68.1% of total)

ival-sub!: 1.0ms (34% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.10003494722849415	93.38689057677414
1.0ms	-249.02731976862125	-0.03459771979788544

Compiler

Compiled 298 to 331 computations (-11.1% saved)

derivations19.0ms (1.3%)

Memory

-11.8MiB live, 33.5MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 33 to 26 computations (21.2% saved)

preprocess37.0ms (2.7%)

Memory: -2.2MiB live, 94.6MiB allocated; 13ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 145 to 130 computations (10.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample664.0ms (48.3%)

preprocess67.0ms (4.9%)

series7.0ms (0.5%)

rewrite124.0ms (9%)

eval6.0ms (0.4%)

prune4.0ms (0.3%)

series14.0ms (1%)

rewrite193.0ms (14.1%)

eval37.0ms (2.7%)

prune12.0ms (0.9%)

series5.0ms (0.4%)

rewrite85.0ms (6.2%)

eval8.0ms (0.6%)

prune4.0ms (0.3%)

regimes26.0ms (1.9%)

regimes5.0ms (0.4%)

regimes1.0ms (0.1%)

regimes3.0ms (0.2%)

bsearch53.0ms (3.9%)

bsearch1.0ms (0.1%)

derivations19.0ms (1.3%)

preprocess37.0ms (2.7%)

end0.0ms (0%)

Profiling