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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample685.0ms (39.7%)

Memory

14.4MiB live, 1 155.3MiB allocated; 246ms collecting garbage

Samples

389.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-div!: 51.0ms (37.3% of total)

ival-mult!: 47.0ms (34.3% of total)

ival-add!: 37.0ms (27% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

explain80.0ms (4.6%)

Memory

3.4MiB live, 147.8MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(/.f64 x #s(literal 2 binary64))`
-	-	`z`
-	-	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
-	-	`(*.f64 y x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div!: 5.0ms (41% of total)

ival-add!: 4.0ms (32.8% of total)

ival-mult!: 3.0ms (24.6% of total)

adjust: 0.0ms (0% of total)

preprocess88.0ms (5.1%)

Memory

-16.6MiB live, 30.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	92	93
2	220	93
3	341	93
4	481	93
5	758	90
6	2221	90
7	5225	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)

series8.0ms (0.5%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

8 → 26

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))))
#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)) #s(hole binary64 (* -1 (* x (- (* -1 y) 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)))
#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 (* x 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 (* x 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 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#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
2.0ms	x	@	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	y	@	-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)

rewrite135.0ms (7.8%)

Memory

4.1MiB live, 190.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	426
0	97	398
1	493	350
0	4368	327

Stop Event

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

Counts

34 → 109

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

eval10.0ms (0.6%)

Memory: 23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 604 to 320 computations (80% saved)

prune7.0ms (0.4%)

Memory

-34.3MiB live, 11.9MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	6	102

Accuracy

100.0%

Counts

102 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
	77.2%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
▶	60.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	63.3%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
▶	41.2%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
▶	37.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 146 to 116 computations (20.5% saved)

series8.0ms (0.5%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Counts

13 → 49

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

rewrite175.0ms (10.1%)

Memory

-13.8MiB live, 226.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	799
0	142	731
1	655	699
0	5593	655

Stop Event

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

Counts

62 → 169

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

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

eval44.0ms (2.6%)

Memory: -6.6MiB live, 45.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 3 564 to 490 computations (86.3% saved)

prune7.0ms (0.4%)

Memory

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

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	173	7	180

Accuracy

100.0%

Counts

180 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.3%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
▶	77.2%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) z))
✓	60.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	63.3%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
▶	24.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
✓	41.2%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	37.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 92 to 74 computations (19.6% saved)

series6.0ms (0.4%)

Memory

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

Counts

12 → 49

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite173.0ms (10%)

Memory

1.7MiB live, 143.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	829
0	138	776
1	675	714
0	5805	656

Stop Event

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

Counts

61 → 96

Calls

Call 1

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

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

eval7.0ms (0.4%)

Memory: 14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 511 to 229 computations (84.8% saved)

prune25.0ms (1.5%)

Memory

-31.2MiB live, 19.4MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	69	7	76

Accuracy

100.0%

Counts

76 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.3%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	77.2%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) z))
✓	60.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	63.3%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
✓	24.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
✓	41.2%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	37.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 213 to 110 computations (48.4% saved)

regimes20.0ms (1.2%)

Memory

-3.6MiB live, 41.5MiB allocated; 3ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

6.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
3.0ms	z
3.0ms	x
3.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	y

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)

regimes14.0ms (0.8%)

Memory

36.4MiB live, 36.4MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
87.1%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
81.2%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
88.9%	3	`x`
99.1%	3	`y`
86.4%	3	`z`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes6.0ms (0.3%)

Memory

-35.7MiB live, 11.1MiB allocated; 2ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
64.6%	2	`x`
88.5%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes7.0ms (0.4%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

3 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.2%	5	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
57.5%	3	`z`
68.6%	5	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
68.6%	4	`y`

Compiler

Compiled 18 to 21 computations (-16.7% saved)

regimes2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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) (*.f64 y x))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
66.4%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.5%)

Memory

-26.5MiB live, 18.4MiB allocated; 3ms 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:

4.0ms	(+.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	y
1.0ms	z

Results

Accuracy	Segments	Branch
37.9%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
37.9%	1	`z`
37.9%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
37.9%	1	`x`
37.9%	1	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch27.0ms (1.6%)

Memory

7.7MiB live, 62.2MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.9565786144148504e-15	0.01933395136247084
12.0ms	-3485220316187900.5	-0.06068193445271275

Samples

13.0ms

320×

valid

Compiler

Compiled 492 to 434 computations (11.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult!: 3.0ms (48.3% of total)

ival-div!: 2.0ms (32.2% of total)

ival-add!: 1.0ms (16.1% of total)

adjust: 0.0ms (0% of total)

bsearch16.0ms (0.9%)

Memory

-12.0MiB live, 34.2MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	648130103074380800.0	1.1282180310393751e+20
5.0ms	-5.424939641406387e+23	-2.8578020634310006e+23

Samples

6.0ms

176×

valid

Compiler

Compiled 309 to 267 computations (13.6% saved)

Precisions

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

ival-add!: 1.0ms (39.2% of total)

ival-div!: 1.0ms (39.2% of total)

ival-mult!: 1.0ms (39.2% of total)

adjust: 0.0ms (0% of total)

bsearch12.0ms (0.7%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	648130103074380800.0	1.1282180310393751e+20
9.0ms	-2.718080734679231e-290	-1.5808948147530323e-294
1.0ms	-3485220316187900.5	-0.06068193445271275

Samples

5.0ms

128×

valid

Compiler

Compiled 704 to 621 computations (11.8% saved)

Precisions

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

ival-add!: 1.0ms (52.8% of total)

ival-div!: 1.0ms (52.8% of total)

ival-mult!: 1.0ms (52.8% of total)

adjust: 0.0ms (0% of total)

bsearch3.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	648130103074380800.0	1.1282180310393751e+20
2.0ms	-5.424939641406387e+23	-2.8578020634310006e+23

Samples

1.0ms

32×

valid

Compiler

Compiled 276 to 245 computations (11.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

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

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

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

derivations123.0ms (7.1%)

Memory

-36.6MiB live, 155.3MiB allocated; 10ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 219 to 44 computations (79.9% saved)

preprocess28.0ms (1.6%)

Memory: 30.7MiB live, 74.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 456 to 104 computations (77.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample685.0ms (39.7%)

explain80.0ms (4.6%)

preprocess88.0ms (5.1%)

series8.0ms (0.5%)

rewrite135.0ms (7.8%)

eval10.0ms (0.6%)

prune7.0ms (0.4%)

series8.0ms (0.5%)

rewrite175.0ms (10.1%)

eval44.0ms (2.6%)

prune7.0ms (0.4%)

series6.0ms (0.4%)

rewrite173.0ms (10%)

eval7.0ms (0.4%)

prune25.0ms (1.5%)

regimes20.0ms (1.2%)

regimes14.0ms (0.8%)

regimes6.0ms (0.3%)

regimes7.0ms (0.4%)

regimes2.0ms (0.1%)

regimes8.0ms (0.5%)

bsearch27.0ms (1.6%)

bsearch16.0ms (0.9%)

bsearch12.0ms (0.7%)

bsearch3.0ms (0.2%)

derivations123.0ms (7.1%)

preprocess28.0ms (1.6%)

end0.0ms (0%)

Profiling