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)

sample961.0ms (43.7%)

Memory

37.7MiB live, 838.3MiB allocated; 459ms collecting garbage

Samples

674.0ms	8 253×	0	valid
0.0ms	2×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-div!: 67.0ms (40.4% of total)

ival-mult!: 57.0ms (34.4% of total)

ival-add!: 40.0ms (24.1% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

explain89.0ms (4%)

Memory

-2.4MiB live, 94.9MiB allocated; 20ms 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

35.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult!: 3.0ms (39.3% of total)

ival-add!: 2.0ms (26.2% of total)

ival-div!: 2.0ms (26.2% of total)

adjust: 0.0ms (0% of total)

preprocess263.0ms (12%)

Memory

-14.0MiB live, 174.3MiB allocated; 30ms 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

0.7MiB live, 0.7MiB 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 (0.4%)

Memory

11.7MiB live, 11.7MiB 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	y	@	-inf	((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z)
1.0ms	x	@	-inf	((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z)
1.0ms	x	@	0	((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z)
1.0ms	y	@	inf	((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z)

rewrite134.0ms (6.1%)

Memory

-12.4MiB live, 87.2MiB allocated; 13ms 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))))

eval13.0ms (0.6%)

Memory: -13.8MiB live, 31.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 667 to 321 computations (80.7% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Accuracy

100.0%

Counts

109 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
	75.1%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
▶	63.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	62.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
▶	38.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
▶	38.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 144 to 116 computations (19.4% saved)

series11.0ms (0.5%)

Memory

-17.3MiB live, 26.6MiB allocated; 5ms collecting garbage

Counts

13 → 47

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite173.0ms (7.9%)

Memory

37.6MiB live, 185.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	748
0	151	682
1	737	631
0	5878	624

Stop Event

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

Counts

60 → 160

Calls

Call 1

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

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

eval38.0ms (1.7%)

Memory: -3.1MiB live, 41.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 260 to 464 computations (85.8% saved)

prune10.0ms (0.4%)

Memory

-21.9MiB live, 22.7MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	171	7	178

Accuracy

100.0%

Counts

178 → 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)
▶	75.1%	(fma.f64 #s(approx (+ 1/2 y) y) x z)
✓	63.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	62.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
▶	26.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
✓	38.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	38.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 84 to 69 computations (17.9% saved)

series6.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

9 → 39

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x (+ (* (+ 1/2 y) x) z) (+ 1/2 y) y z)
1.0ms	x	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x (+ (* (+ 1/2 y) x) z) (+ 1/2 y) y z)
1.0ms	x	@	inf	((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x (+ (* (+ 1/2 y) x) z) (+ 1/2 y) y z)
1.0ms	y	@	inf	((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x (+ (* (+ 1/2 y) x) z) (+ 1/2 y) y z)
0.0ms	z	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x (+ (* (+ 1/2 y) x) z) (+ 1/2 y) y z)

rewrite139.0ms (6.3%)

Memory

2.5MiB live, 191.9MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	639
0	124	623
1	654	560
0	5288	518

Stop Event

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

Counts

48 → 62

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

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

eval4.0ms (0.2%)

Memory: 13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 860 to 134 computations (84.4% saved)

prune13.0ms (0.6%)

Memory

-30.4MiB live, 28.1MiB allocated; 6ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	47	7	54

Accuracy

100.0%

Counts

54 → 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)
✓	75.1%	(fma.f64 #s(approx (+ 1/2 y) y) x z)
✓	63.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	62.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
✓	26.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
✓	38.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	38.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 190 to 100 computations (47.4% saved)

regimes36.0ms (1.6%)

Memory

-11.3MiB live, 35.7MiB allocated; 2ms 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 #s(approx (+ 1/2 y) y) x 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)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

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

Calls

5 calls:

23.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes14.0ms (0.6%)

Memory

28.2MiB live, 28.2MiB 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 #s(approx (+ 1/2 y) y) x 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 #s(approx (+ 1/2 y) y) x z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 #s(approx (+ 1/2 y) y) x z)

Calls

5 calls:

3.0ms	z
3.0ms	x
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))

Results

Accuracy	Segments	Branch
92.3%	4	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
82.4%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
91.1%	3	`x`
99.4%	3	`y`
86.8%	3	`z`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes6.0ms (0.3%)

Memory

13.0MiB live, 13.0MiB 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	y
2.0ms	x
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

Accuracy	Segments	Branch
79.6%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
69.5%	4	`x`
87.1%	3	`y`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes29.0ms (1.3%)

Memory

-27.7MiB live, 19.5MiB allocated; 1ms 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

5 calls:

22.0ms	z
2.0ms	y
2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms	x
1.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

Accuracy	Segments	Branch
61.6%	4	`x`
68.7%	4	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
53.0%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
58.6%	5	`z`
66.5%	5	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB 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

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
65.4%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB 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	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
38.7%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
38.7%	1	`z`
38.7%	1	`x`
38.7%	1	`y`
38.7%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch29.0ms (1.3%)

Memory

-9.4MiB live, 35.9MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.6563114466124392e-21	3.1105481095325465e-18
7.0ms	-5684393982.152562	-466124273.9466885

Samples

19.0ms

224×

valid

Compiler

Compiled 320 to 294 computations (8.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add!: 11.0ms (80.7% of total)

ival-div!: 1.0ms (7.3% of total)

ival-mult!: 1.0ms (7.3% of total)

adjust: 0.0ms (0% of total)

bsearch38.0ms (1.7%)

Memory

-5.5MiB live, 39.9MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1524929.5755501792	1852405985612.428
3.0ms	-5684393982.152562	-466124273.9466885

Samples

30.0ms

176×

valid

Compiler

Compiled 417 to 359 computations (13.9% saved)

Precisions

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

ival-add!: 1.0ms (38.3% of total)

ival-div!: 1.0ms (38.3% of total)

ival-mult!: 1.0ms (38.3% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.4131393732957153e+123	4.214507588000619e+134
0.0ms	-1.2306310800599244e+74	-7.43954543092952e+73
0.0ms	-8.238157014991051e+210	-1.0043724980228057e+210

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4131393732957153e+123	4.214507588000619e+134
0.0ms	-133848093004343570.0	-10360.35732974911

Compiler

Compiled 12 to 14 computations (-16.7% saved)

derivations144.0ms (6.5%)

Memory

-11.4MiB live, 175.7MiB allocated; 52ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 244 to 50 computations (79.5% saved)

preprocess31.0ms (1.4%)

Memory: 28.9MiB live, 75.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 506 to 116 computations (77.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample961.0ms (43.7%)

explain89.0ms (4%)

preprocess263.0ms (12%)

eval0.0ms (0%)

prune0.0ms (0%)

series8.0ms (0.4%)

rewrite134.0ms (6.1%)

eval13.0ms (0.6%)

prune4.0ms (0.2%)

series11.0ms (0.5%)

rewrite173.0ms (7.9%)

eval38.0ms (1.7%)

prune10.0ms (0.4%)

series6.0ms (0.3%)

rewrite139.0ms (6.3%)

eval4.0ms (0.2%)

prune13.0ms (0.6%)

regimes36.0ms (1.6%)

regimes14.0ms (0.6%)

regimes6.0ms (0.3%)

regimes29.0ms (1.3%)

regimes2.0ms (0.1%)

regimes5.0ms (0.2%)

bsearch29.0ms (1.3%)

bsearch38.0ms (1.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations144.0ms (6.5%)

preprocess31.0ms (1.4%)

end0.0ms (0%)

Profiling