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

0.5MiB live, 0.5MiB 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)

sample784.0ms (34.5%)

Memory

-6.2MiB live, 802.0MiB allocated; 190ms collecting garbage

Samples

441.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult!: 49.0ms (35% of total)

ival-div!: 46.0ms (32.9% of total)

ival-add!: 42.0ms (30% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

explain121.0ms (5.3%)

Memory

11.0MiB live, 157.7MiB allocated; 8ms 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

57.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult!: 6.0ms (57.8% of total)

ival-add!: 2.0ms (19.3% of total)

ival-div!: 2.0ms (19.3% of total)

adjust: 0.0ms (0% of total)

preprocess294.0ms (12.9%)

Memory

4.1MiB live, 189.1MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (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
0	8	9
0	12	9
1	22	9
2	43	9
3	69	9
4	108	9
5	196	9
6	808	9
7	5265	9
0	8112	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

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 9 to 8 computations (11.1% saved)

series8.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB 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)

rewrite154.0ms (6.8%)

Memory

7.2MiB live, 97.1MiB allocated; 10ms 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))))

eval11.0ms (0.5%)

Memory: 13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 667 to 321 computations (80.7% saved)

prune30.0ms (1.3%)

Memory

-38.6MiB live, 12.5MiB allocated; 14ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	7	109

Accuracy

100.0%

Counts

109 → 7

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))
	73.8%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
▶	66.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	60.2%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
▶	35.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
▶	41.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 158 to 128 computations (19% saved)

series8.0ms (0.3%)

Memory

9.8MiB live, 9.8MiB 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	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	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))

rewrite168.0ms (7.4%)

Memory

-2.0MiB live, 188.1MiB allocated; 55ms 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)))
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#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))))

eval19.0ms (0.9%)

Memory: 35.8MiB live, 35.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 804 to 497 computations (86.9% saved)

prune28.0ms (1.2%)

Memory

-29.6MiB live, 16.6MiB allocated; 8ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	192	3	195
Fresh	2	0	2
Picked	0	5	5
Done	0	0	0
Total	194	8	202

Accuracy

100.0%

Counts

202 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
✓	100.0%	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
▶	73.8%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) z))
✓	66.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	60.2%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
▶	27.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
✓	35.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	41.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 93 to 76 computations (18.3% saved)

series6.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

12 → 64

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

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

rewrite160.0ms (7.1%)

Memory

-14.7MiB live, 170.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1032
0	166	1001
1	788	858
0	6404	830

Stop Event

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

Counts

76 → 147

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

eval13.0ms (0.6%)

Memory: 31.2MiB live, 31.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 150 to 337 computations (84.3% saved)

prune9.0ms (0.4%)

Memory

-21.5MiB live, 23.8MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	120	8	128

Accuracy

100.0%

Counts

128 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
✓	100.0%	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
✓	73.8%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) z))
✓	66.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	60.2%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
✓	27.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
✓	35.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	41.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 214 to 113 computations (47.2% saved)

regimes18.0ms (0.8%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Counts

11 → 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 (+.f64 #s(literal 1/2 binary64) y) x z)
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(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:

4.0ms	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)

regimes59.0ms (2.6%)

Memory

-27.1MiB live, 18.9MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

5 calls:

47.0ms	z
3.0ms	x
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
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)

regimes13.0ms (0.6%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

7 → 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)

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
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)
2.0ms	y

Results

Accuracy	Segments	Branch
86.6%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
81.5%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
86.7%	3	`x`
98.8%	3	`y`
85.3%	3	`z`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes6.0ms (0.3%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms 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

3 calls:

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

Results

Accuracy	Segments	Branch
78.0%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
66.8%	1	`x`
85.8%	3	`y`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes24.0ms (1.1%)

Memory

-38.3MiB live, 18.3MiB allocated; 11ms collecting garbage

Counts

3 → 5

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) z)
#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

5 calls:

17.0ms	z
2.0ms	y
2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms	x

Results

Accuracy	Segments	Branch
58.3%	4	`x`
64.9%	5	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
50.9%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
56.1%	4	`z`
68.4%	5	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes3.0ms (0.1%)

Memory

7.7MiB live, 7.8MiB 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

2 calls:

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

Results

Accuracy	Segments	Branch
60.7%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
60.8%	3	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.2%)

Memory

16.2MiB live, 16.1MiB allocated; 0ms 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:

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	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
41.4%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
41.4%	1	`z`
41.4%	1	`x`
41.4%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
41.4%	1	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch27.0ms (1.2%)

Memory

-0.3MiB live, 43.9MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.001022593774353596	1456.7102099667668
14.0ms	-254020.81057297933	-0.14754773400802146

Samples

11.0ms

288×

valid

Compiler

Compiled 444 to 392 computations (11.7% saved)

Precisions

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

ival-add!: 1.0ms (24% of total)

ival-div!: 1.0ms (24% of total)

ival-mult!: 1.0ms (24% of total)

adjust: 0.0ms (0% of total)

bsearch22.0ms (1%)

Memory

-2.8MiB live, 41.0MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.001022593774353596	1456.7102099667668
11.0ms	-7.65230298931752e+90	-1.338163478581053e+89

Samples

11.0ms

240×

valid

Compiler

Compiled 444 to 382 computations (14% saved)

Precisions

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

ival-add!: 1.0ms (28.6% of total)

ival-div!: 1.0ms (28.6% of total)

ival-mult!: 1.0ms (28.6% of total)

adjust: 0.0ms (0% of total)

bsearch42.0ms (1.8%)

Memory

-20.2MiB live, 83.8MiB allocated; 14ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	2.4553035847840185e-17	0.001022593774353596
9.0ms	1.292290522245408e-169	6.066566124031688e-166
14.0ms	-5.034813737308204e-72	-8.390645832142127e-76
1.0ms	-7.65230298931752e+90	-1.338163478581053e+89

Samples

23.0ms

416×

valid

Compiler

Compiled 868 to 771 computations (11.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult!: 5.0ms (56.7% of total)

ival-add!: 2.0ms (22.7% of total)

ival-div!: 2.0ms (22.7% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

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

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4553035847840185e-17	0.001022593774353596
1.0ms	-7.65230298931752e+90	-1.338163478581053e+89

Compiler

Compiled 420 to 371 computations (11.7% saved)

simplify42.0ms (1.8%)

Memory

-2.4MiB live, 43.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	207
1	69	207
2	95	207
3	130	207
4	192	207
5	524	207
6	3657	207

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(if (<=.f64 y #s(literal -1/2 binary64)) (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) (if (<=.f64 y #s(literal 1/2 binary64)) #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))))
(if (<=.f64 y #s(literal -195000000000000005337614254826203204515670493053336899441728333479449450887482622670274560 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1450 binary64)) #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))))
(if (<=.f64 y #s(literal -195000000000000005337614254826203204515670493053336899441728333479449450887482622670274560 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal -1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) z) (if (<=.f64 y #s(literal 6798566308054619/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) (if (<=.f64 y #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))))
(if (<=.f64 y #s(literal -195000000000000005337614254826203204515670493053336899441728333479449450887482622670274560 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1152921504606847/1152921504606846976 binary64)) #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) z)

Outputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(if (<=.f64 y #s(literal -1/2 binary64)) (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) (if (<=.f64 y #s(literal 1/2 binary64)) #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))))
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) (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)))
(if (<=.f64 y #s(literal -195000000000000005337614254826203204515670493053336899441728333479449450887482622670274560 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1450 binary64)) #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))))
(if (or (<=.f64 y #s(literal -195000000000000005337614254826203204515670493053336899441728333479449450887482622670274560 binary64)) (not (<=.f64 y #s(literal 1450 binary64)))) #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)))
(if (<=.f64 y #s(literal -195000000000000005337614254826203204515670493053336899441728333479449450887482622670274560 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal -1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) z) (if (<=.f64 y #s(literal 6798566308054619/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) (if (<=.f64 y #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))))
(if (<=.f64 y #s(literal -195000000000000005337614254826203204515670493053336899441728333479449450887482622670274560 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -195000000000000005337614254826203204515670493053336899441728333479449450887482622670274560 binary64)) (not (<=.f64 y #s(literal 1152921504606847/1152921504606846976 binary64)))) #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) z)

derivations158.0ms (7%)

Memory

-9.9MiB live, 134.2MiB allocated; 28ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 207 to 52 computations (74.9% saved)

preprocess35.0ms (1.5%)

Memory: 34.9MiB live, 79.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 432 to 120 computations (72.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample784.0ms (34.5%)

explain121.0ms (5.3%)

preprocess294.0ms (12.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series8.0ms (0.3%)

rewrite154.0ms (6.8%)

eval11.0ms (0.5%)

prune30.0ms (1.3%)

series8.0ms (0.3%)

rewrite168.0ms (7.4%)

eval19.0ms (0.9%)

prune28.0ms (1.2%)

series6.0ms (0.3%)

rewrite160.0ms (7.1%)

eval13.0ms (0.6%)

prune9.0ms (0.4%)

regimes18.0ms (0.8%)

regimes59.0ms (2.6%)

regimes13.0ms (0.6%)

regimes6.0ms (0.3%)

regimes24.0ms (1.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.2%)

bsearch27.0ms (1.2%)

bsearch22.0ms (1%)

bsearch42.0ms (1.8%)

bsearch2.0ms (0.1%)

simplify42.0ms (1.8%)

derivations158.0ms (7%)

preprocess35.0ms (1.5%)

end0.0ms (0%)

Profiling