Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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 11 to 10 computations (9.1% saved)

sample788.0ms (34.8%)

Memory

30.5MiB live, 1 523.9MiB allocated; 346ms collecting garbage

Samples

528.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult!: 67.0ms (39.9% of total)

ival-add!: 59.0ms (35.1% of total)

ival-div!: 40.0ms (23.8% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

preprocess344.0ms (15.2%)

Memory

-44.9MiB live, 59.7MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	98	93
2	239	93
3	344	93
4	540	93
5	1341	90
6	7285	90

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Compiler

Compiled 18 to 16 computations (11.1% saved)

series7.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Counts

8 → 19

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite164.0ms (7.3%)

Memory

-9.2MiB live, 263.6MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	339
0	90	315
1	485	279
0	4313	259

Stop Event

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

Counts

27 → 102

Calls

Call 1

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

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

eval9.0ms (0.4%)

Memory: 27.0MiB live, 27.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 616 to 309 computations (80.9% saved)

prune5.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	5	95

Accuracy

100.0%

Counts

95 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
▶	100.0%	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
▶	64.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	61.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))
▶	39.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 110 to 92 computations (16.4% saved)

series15.0ms (0.6%)

Memory

-19.5MiB live, 21.4MiB allocated; 8ms collecting garbage

Counts

15 → 34

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((+ (* y x) (+ (* 1/2 x) z)) y x (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (neg x) (- (neg y) 1/2)) (neg x) (- (neg y) 1/2) (neg y) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
1.0ms	x	@	-inf	((+ (* y x) (+ (* 1/2 x) z)) y x (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (neg x) (- (neg y) 1/2)) (neg x) (- (neg y) 1/2) (neg y) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
1.0ms	y	@	-inf	((+ (* y x) (+ (* 1/2 x) z)) y x (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (neg x) (- (neg y) 1/2)) (neg x) (- (neg y) 1/2) (neg y) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
1.0ms	y	@	inf	((+ (* y x) (+ (* 1/2 x) z)) y x (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (neg x) (- (neg y) 1/2)) (neg x) (- (neg y) 1/2) (neg y) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
1.0ms	x	@	0	((+ (* y x) (+ (* 1/2 x) z)) y x (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (neg x) (- (neg y) 1/2)) (neg x) (- (neg y) 1/2) (neg y) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))

rewrite195.0ms (8.6%)

Memory

18.7MiB live, 203.6MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	563
0	152	512
1	767	478
0	6085	470

Stop Event

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

Counts

49 → 215

Calls

Call 1

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

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

eval39.0ms (1.7%)

Memory: -14.8MiB live, 37.0MiB allocated; 22ms collecting garbage
Compiler: Compiled 3 810 to 555 computations (85.4% saved)

prune6.0ms (0.3%)

Memory

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

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	179	5	184
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	182	7	189

Accuracy

100.0%

Counts

189 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
▶	61.5%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	64.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	37.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
▶	26.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
▶	61.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (* (neg x) (- (neg y) 1/2)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))
✓	39.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 171 to 138 computations (19.3% saved)

series7.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

16 → 29

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite153.0ms (6.8%)

Memory

-3.6MiB live, 133.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	554
0	143	511
1	758	483
0	6145	465

Stop Event

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

Counts

45 → 155

Calls

Call 1

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

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

eval87.0ms (3.8%)

Memory: -17.1MiB live, 32.3MiB allocated; 75ms collecting garbage
Compiler: Compiled 4 275 to 568 computations (86.7% saved)

prune7.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	177	7	184

Accuracy

100.0%

Counts

184 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
✓	61.5%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	64.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	37.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
✓	26.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	61.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (* (neg x) (- (neg y) 1/2)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))
✓	39.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 235 to 123 computations (47.7% saved)

regimes23.0ms (1%)

Memory

-25.7MiB live, 27.0MiB allocated; 10ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))

Calls

5 calls:

8.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
4.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes16.0ms (0.7%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)

Calls

5 calls:

3.0ms	z
3.0ms	x
3.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	y
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes12.0ms (0.5%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
83.6%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
76.9%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
77.8%	3	`x`
88.0%	3	`y`
81.5%	3	`z`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes10.0ms (0.4%)

Memory

-27.9MiB live, 18.7MiB allocated; 2ms collecting garbage

Counts

3 → 6

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	y
2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms	z
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms	x

Results

Accuracy	Segments	Branch
51.2%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
56.3%	4	`x`
56.3%	3	`z`
61.8%	4	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
69.6%	6	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes5.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

Outputs

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

#s(approx (+ (+ (/ x 2) (* y x)) z) z)

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.9%	3	`x`
51.4%	3	`z`
48.5%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
44.7%	3	`y`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes6.0ms (0.3%)

Memory

-29.7MiB live, 17.4MiB allocated; 1ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
39.1%	1	`y`
39.1%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
39.1%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
39.1%	1	`z`
39.1%	1	`x`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch21.0ms (0.9%)

Memory

40.4MiB live, 40.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.667254481888221e+33	1.9364590567107572e+37
10.0ms	-2.8389345118362374e+41	-3.494469005573782e+36

Samples

9.0ms

272×

valid

Compiler

Compiled 471 to 405 computations (14% saved)

Precisions

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

ival-add!: 1.0ms (26.8% of total)

ival-div!: 1.0ms (26.8% of total)

ival-mult!: 1.0ms (26.8% of total)

adjust: 0.0ms (0% of total)

bsearch46.0ms (2%)

Memory

-14.3MiB live, 77.5MiB allocated; 16ms collecting garbage

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	7.667254481888221e+33	1.9364590567107572e+37
16.0ms	2.5911535594515e-129	8.28579034009698e-118
1.0ms	-7.491977515234102e-181	-7.005238720779449e-181
7.0ms	-1.1712245914441398e-73	-9.31826207660617e-75
16.0ms	-3.941672898771181e+19	-3.351083069141657e-5

Samples

22.0ms

480×

valid

Compiler

Compiled 1 066 to 921 computations (13.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add!: 2.0ms (29.9% of total)

ival-div!: 2.0ms (29.9% of total)

ival-mult!: 2.0ms (29.9% of total)

adjust: 0.0ms (0% of total)

bsearch25.0ms (1.1%)

Memory

17.6MiB live, 62.5MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	8.335989408612277e+69	1.635985395336004e+74
14.0ms	-7.213985460770815e+116	-2.2240570308488552e+113

Samples

9.0ms

256×

valid

Compiler

Compiled 492 to 430 computations (12.6% saved)

Precisions

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

ival-add!: 1.0ms (28% of total)

ival-div!: 1.0ms (28% of total)

ival-mult!: 1.0ms (28% of total)

adjust: 0.0ms (0% of total)

derivations226.0ms (10%)

Memory

-28.0MiB live, 156.8MiB allocated; 67ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 235 to 50 computations (78.7% saved)

preprocess49.0ms (2.2%)

Memory: 1.1MiB live, 100.7MiB allocated; 26ms collecting garbage
Compiler: Compiled 244 to 58 computations (76.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample788.0ms (34.8%)

preprocess344.0ms (15.2%)

series7.0ms (0.3%)

rewrite164.0ms (7.3%)

eval9.0ms (0.4%)

prune5.0ms (0.2%)

series15.0ms (0.6%)

rewrite195.0ms (8.6%)

eval39.0ms (1.7%)

prune6.0ms (0.3%)

series7.0ms (0.3%)

rewrite153.0ms (6.8%)

eval87.0ms (3.8%)

prune7.0ms (0.3%)

regimes23.0ms (1%)

regimes16.0ms (0.7%)

regimes12.0ms (0.5%)

regimes10.0ms (0.4%)

regimes5.0ms (0.2%)

regimes6.0ms (0.3%)

bsearch21.0ms (0.9%)

bsearch46.0ms (2%)

bsearch25.0ms (1.1%)

derivations226.0ms (10%)

preprocess49.0ms (2.2%)

end0.0ms (0%)

Profiling