Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 7 computations (22.2% saved)

sample778.0ms (38.3%)

Memory

-0.3MiB live, 603.7MiB allocated; 188ms collecting garbage

Samples

524.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-mult!: 90.0ms (61% of total)

ival-add!: 56.0ms (38% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

preprocess61.0ms (3%)

Memory

-8.8MiB live, 35.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	61	42
2	191	42
3	391	42
4	486	42
5	698	42
6	3918	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series5.0ms (0.2%)

Memory

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

Counts

5 → 16

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite365.0ms (18%)

Memory

-0.1MiB live, 321.1MiB allocated; 94ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	247
0	65	215
1	388	213
2	3269	213
0	9626	184
1	44871	184

Stop Event

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

Counts

21 → 165

Calls

Call 1

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

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

eval13.0ms (0.6%)

Memory: 34.5MiB live, 34.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 730 to 265 computations (63.7% saved)

prune5.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	150	4	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	151	4	155

Accuracy

100.0%

Counts

155 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 y #s(literal -1 binary64)) x y)
▶	63.2%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
▶	61.5%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
▶	39.0%	#s(approx (+ (+ (* x y) x) y) y)

Compiler

Compiled 25 to 25 computations (0% saved)

series18.0ms (0.9%)

Memory

-37.5MiB live, 8.8MiB allocated; 4ms collecting garbage

Counts

10 → 23

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	((+ (+ (* x y) x) y) y (+ (+ (* x y) x) y) (+ (* y x) x) x (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (- y -1) x) y) (- y -1) -1)
1.0ms	x	@	-inf	((+ (+ (* x y) x) y) y (+ (+ (* x y) x) y) (+ (* y x) x) x (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (- y -1) x) y) (- y -1) -1)
1.0ms	y	@	0	((+ (+ (* x y) x) y) y (+ (+ (* x y) x) y) (+ (* y x) x) x (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (- y -1) x) y) (- y -1) -1)
1.0ms	y	@	-inf	((+ (+ (* x y) x) y) y (+ (+ (* x y) x) y) (+ (* y x) x) x (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (- y -1) x) y) (- y -1) -1)
1.0ms	y	@	inf	((+ (+ (* x y) x) y) y (+ (+ (* x y) x) y) (+ (* y x) x) x (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (- y -1) x) y) (- y -1) -1)

rewrite180.0ms (8.9%)

Memory

26.0MiB live, 164.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	362
0	92	288
1	574	288
0	4211	285
1	13237	285

Stop Event

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

Counts

33 → 178

Calls

Call 1

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

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

eval15.0ms (0.8%)

Memory: 8.2MiB live, 52.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 676 to 313 computations (53.7% saved)

prune15.0ms (0.8%)

Memory

-67.3MiB live, 17.4MiB allocated; 19ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	155	5	160

Accuracy

100.0%

Counts

160 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.3%	(fma.f64 #s(approx (- y -1) #s(literal 1 binary64)) x y)
✓	63.2%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	61.5%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
▶	26.1%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
✓	39.0%	#s(approx (+ (+ (* x y) x) y) y)

Compiler

Compiled 37 to 37 computations (0% saved)

series7.0ms (0.4%)

Memory

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

Counts

8 → 20

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) y x (+ (* (- y -1) x) y) (- y -1) 1)
1.0ms	x	@	-inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) y x (+ (* (- y -1) x) y) (- y -1) 1)
1.0ms	y	@	-inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) y x (+ (* (- y -1) x) y) (- y -1) 1)
1.0ms	y	@	inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) y x (+ (* (- y -1) x) y) (- y -1) 1)
0.0ms	x	@	inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) y x (+ (* (- y -1) x) y) (- y -1) 1)

rewrite178.0ms (8.8%)

Memory

18.6MiB live, 156.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	321
0	82	287
1	532	285
0	4218	255
1	13286	255

Stop Event

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

Counts

28 → 37

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 99 to 60 computations (39.4% saved)

prune3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	18	5	23

Accuracy

100.0%

Counts

23 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.3%	(fma.f64 #s(approx (- y -1) #s(literal 1 binary64)) x y)
✓	63.2%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	61.5%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
✓	26.1%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
✓	39.0%	#s(approx (+ (+ (* x y) x) y) y)

Compiler

Compiled 69 to 63 computations (8.7% saved)

regimes16.0ms (0.8%)

Memory

-22.2MiB live, 29.2MiB allocated; 5ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
3.0ms	x
2.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes7.0ms (0.3%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
99.8%	3	`(+.f64 (+.f64 (*.f64 x y) x) y)`
99.6%	3	`x`
99.0%	3	`y`

Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes4.0ms (0.2%)

Memory

-37.5MiB live, 7.6MiB allocated; 3ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))

Calls

1 calls:

4.0ms

(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
98.1%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes5.0ms (0.2%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
73.6%	2	`y`
90.6%	3	`x`
91.5%	3	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes4.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Outputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Calls

3 calls:

1.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
46.2%	2	`y`
61.9%	3	`x`
56.6%	3	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes4.0ms (0.2%)

Memory

-35.6MiB live, 11.7MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) y)

Outputs
#s(approx (+ (+ (* x y) x) y) y)

Calls

3 calls:

2.0ms	y
1.0ms	x
1.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
39.0%	1	`y`
39.0%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
39.0%	1	`x`

Compiler

Compiled 7 to 9 computations (-28.6% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.4966797369244195e-9	1.3361949958986966e-8
0.0ms	-4.745019528551729e+81	-3.3348383594796295e+70

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.134243065357585e-268	1.4460970400246706e-278

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.783737945111101e+307	+inf
0.0ms	-4.134243065357585e-268	1.4460970400246706e-278

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch20.0ms (1%)

Memory

10.2MiB live, 57.4MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.022051002277006543	112769.81695552963
9.0ms	-2.266814418813514e+21	-2740249577186.7485

Samples

9.0ms

288×

valid

Compiler

Compiled 298 to 334 computations (-12.1% saved)

Precisions

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

ival-mult!: 3.0ms (78.4% of total)

ival-add!: 1.0ms (26.1% of total)

adjust: 0.0ms (0% of total)

derivations214.0ms (10.5%)

Memory

12.8MiB live, 205.9MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 53 to 44 computations (17% saved)

preprocess110.0ms (5.4%)

Memory: -27.3MiB live, 116.2MiB allocated; 11ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 264 to 225 computations (14.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample778.0ms (38.3%)

preprocess61.0ms (3%)

series5.0ms (0.2%)

rewrite365.0ms (18%)

eval13.0ms (0.6%)

prune5.0ms (0.2%)

series18.0ms (0.9%)

rewrite180.0ms (8.9%)

eval15.0ms (0.8%)

prune15.0ms (0.8%)

series7.0ms (0.4%)

rewrite178.0ms (8.8%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

regimes16.0ms (0.8%)

regimes7.0ms (0.3%)

regimes4.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (1%)

derivations214.0ms (10.5%)

preprocess110.0ms (5.4%)

end0.0ms (0%)

Profiling