Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze133.0ms (3%)

Memory

-12.6MiB live, 130.2MiB allocated; 36ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
66.7%	49.9%	25%	0.1%	0%	25%	0%	7
66.7%	49.9%	25%	0.1%	0%	25%	0%	8
66.7%	49.9%	25%	0.1%	0%	25%	0%	9
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	10
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	11
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.6s (36.3%)

Memory

81.3MiB live, 2 004.8MiB allocated; 412ms collecting garbage

Samples

878.0ms	8 256×	0	valid
141.0ms	2 029×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 589.0ms

ival-div: 205.0ms (34.8% of total)

ival-mult: 170.0ms (28.9% of total)

ival-sqrt: 124.0ms (21.1% of total)

ival-add: 64.0ms (10.9% of total)

exact: 11.0ms (1.9% of total)

ival-true: 8.0ms (1.4% of total)

ival-assert: 4.0ms (0.7% of total)

adjust: 3.0ms (0.5% of total)

Bogosity

explain148.0ms (3.3%)

Memory

-14.9MiB live, 195.1MiB allocated; 27ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(sqrt.f64 z)`
0	-	-	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 y (sqrt.f64 z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 9.0ms (45% of total)

ival-sqrt: 4.0ms (20% of total)

ival-div: 3.0ms (15% of total)

ival-add: 2.0ms (10% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess208.0ms (4.6%)

Memory

10.9MiB live, 235.4MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	76
1	125	74
2	427	74
3	1693	74
4	5505	74
0	10	8
0	16	8
1	31	8
2	63	8
3	122	8
4	235	8
5	554	8
6	4028	8
0	8490	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify160.0ms (3.6%)

Memory

-38.4MiB live, 153.6MiB allocated; 33ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
cost-diff	1	(+.f64 x (*.f64 y (sqrt.f64 z)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	16	26
1	31	26
2	63	26
3	122	26
4	235	26
5	554	26
6	4028	26
0	8490	24

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.5%)

Memory

43.5MiB live, 43.5MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.20171578489616815	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.2421875	(*.f64 y (sqrt.f64 z))

Samples

17.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (35.6% of total)

ival-div: 2.0ms (23.7% of total)

ival-sqrt: 2.0ms (23.7% of total)

ival-add: 1.0ms (11.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series39.0ms (0.9%)

Memory

-15.6MiB live, 39.5MiB allocated; 9ms collecting garbage

Counts

5 → 25

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	y	@	0	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
14.0ms	y	@	inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	z	@	-inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	z	@	inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	-inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))

simplify110.0ms (2.5%)

Memory

-29.5MiB live, 110.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	375
1	312	375
2	1166	375
0	3132	343

Stop Event

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

Counts

25 → 25

Calls

Call 1

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

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

rewrite57.0ms (1.3%)

Memory

6.8MiB live, 107.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	46	21
0	271	19

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 43

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 25.4MiB live, 25.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 956 to 187 computations (80.4% saved)

prune7.0ms (0.2%)

Memory

-30.7MiB live, 15.5MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	7	58

Accuracy

99.9%

Counts

58 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (.f64 x #s(literal 1/2 binary64)))
▶	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))
▶	89.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
	81.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
▶	50.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	50.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 216 to 184 computations (14.8% saved)

simplify113.0ms (2.5%)

Memory

38.5MiB live, 181.7MiB allocated; 16ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fma.f64 (sqrt.f64 z) y x)
cost-diff	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
cost-diff	2	(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (.f64 x #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	144
0	42	139
1	73	139
2	133	139
3	339	139
4	1344	139
5	6428	139
0	8176	139

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (2.4%)

Memory

-19.2MiB live, 124.2MiB allocated; 17ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
accuracy	0.7903350894881063	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	5.768522216527116	(.f64 (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
accuracy	0.0	(sqrt.f64 z)
accuracy	0.1171875	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.20171578489616815	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.20562203489616815	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	31.219896118132006	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	31.57323193159318	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.1171875	(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (.f64 x #s(literal 1/2 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 135 to 27 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 17.0ms (62.1% of total)

ival-add: 5.0ms (18.3% of total)

ival-div: 3.0ms (11% of total)

ival-sqrt: 2.0ms (7.3% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series32.0ms (0.7%)

Memory

-4.0MiB live, 41.4MiB allocated; 9ms collecting garbage

Counts

15 → 82

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	z	@	0	((+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (* 1/2 (sqrt z)) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (sqrt z) y)) (* (sqrt z) y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1))
3.0ms	z	@	-inf	((+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (* 1/2 (sqrt z)) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (sqrt z) y)) (* (sqrt z) y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1))
3.0ms	x	@	-inf	((+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (* 1/2 (sqrt z)) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (sqrt z) y)) (* (sqrt z) y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1))
2.0ms	y	@	-inf	((+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (* 1/2 (sqrt z)) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (sqrt z) y)) (* (sqrt z) y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1))
2.0ms	z	@	inf	((+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (* 1/2 (sqrt z)) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (sqrt z) y)) (* (sqrt z) y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1))

simplify134.0ms (3%)

Memory

25.6MiB live, 260.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	1325
1	572	1317
2	1987	1297
0	7036	1174

Stop Event

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

Counts

82 → 82

Calls

Call 1

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

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

rewrite133.0ms (3%)

Memory

-8.1MiB live, 101.5MiB allocated; 108ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	117
0	42	112
1	128	112
0	754	112

Stop Event

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

Counts

15 → 178

Calls

Call 1

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

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

eval31.0ms (0.7%)

Memory: -5.6MiB live, 48.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 420 to 508 computations (85.1% saved)

prune16.0ms (0.4%)

Memory

-11.9MiB live, 30.6MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	160	5	165
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	163	9	172

Accuracy

100.0%

Counts

172 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	93.3%	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64))
▶	51.0%	#s(approx (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
✓	89.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
▶	85.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x))
▶	41.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))
▶	81.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
	50.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)))
✓	50.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 335 to 256 computations (23.6% saved)

simplify182.0ms (4.1%)

Memory

12.2MiB live, 175.7MiB allocated; 79ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) z)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
cost-diff	2	(.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
cost-diff	0	#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
cost-diff	0	(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)
cost-diff	0	#s(approx (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
cost-diff	0	(*.f64 y z)
cost-diff	0	(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	377
0	74	375
1	135	375
2	278	375
3	579	375
4	1212	375
5	2620	371
0	8411	357

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (3.6%)

Memory

9.3MiB live, 209.2MiB allocated; 69ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	3.142418113603547	(fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
accuracy	4.410820983477202	(*.f64 (/.f64 y x) z)
accuracy	5.768522216527116	(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.5976507452111204	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
accuracy	11.99389730115535	(.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	3.390362023571296	(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	5.768522216527116	(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)
accuracy	31.149769544163437	#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	0.0	(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.2421875	(.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)
accuracy	31.219896118132006	#s(approx (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
accuracy	0.0	#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.20171578489616815	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64))
accuracy	4.049711615054635	(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)

Samples

127.0ms

256×

valid

Compiler

Compiled 246 to 41 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 78.0ms (73.3% of total)

ival-add: 15.0ms (14.1% of total)

ival-div: 8.0ms (7.5% of total)

ival-sqrt: 4.0ms (3.8% of total)

exact: 1.0ms (0.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series37.0ms (0.8%)

Memory

19.9MiB live, 65.1MiB allocated; 8ms collecting garbage

Counts

25 → 127

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (* (* (sqrt z) 1/2) y) (* (sqrt z) 1/2) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ y x) z) (+ (* (* (/ y x) z) (sqrt (/ 1 z))) 1))
5.0ms	x	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (* (* (sqrt z) 1/2) y) (* (sqrt z) 1/2) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ y x) z) (+ (* (* (/ y x) z) (sqrt (/ 1 z))) 1))
5.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (* (* (sqrt z) 1/2) y) (* (sqrt z) 1/2) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ y x) z) (+ (* (* (/ y x) z) (sqrt (/ 1 z))) 1))
4.0ms	z	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (* (* (sqrt z) 1/2) y) (* (sqrt z) 1/2) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ y x) z) (+ (* (* (/ y x) z) (sqrt (/ 1 z))) 1))
3.0ms	y	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (* (* (sqrt z) 1/2) y) (* (sqrt z) 1/2) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ y x) z) (+ (* (* (/ y x) z) (sqrt (/ 1 z))) 1))

simplify120.0ms (2.7%)

Memory

-9.1MiB live, 177.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	2243
1	781	2189
2	2643	2137
0	8312	1949

Stop Event

1×	iter limit
1×	node limit

Counts

127 → 127

Calls

Call 1

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

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

rewrite121.0ms (2.7%)

Memory

-5.9MiB live, 138.8MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	330
0	74	328
1	233	316
0	1440	302

Stop Event

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

Counts

25 → 166

Calls

Call 1

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

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

eval33.0ms (0.7%)

Memory: 9.1MiB live, 108.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 7 566 to 1 005 computations (86.7% saved)

prune16.0ms (0.4%)

Memory

9.7MiB live, 53.6MiB allocated; 4ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	238	7	245
Fresh	1	0	1
Picked	3	2	5
Done	1	2	3
Total	243	11	254

Accuracy

100.0%

Counts

254 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	93.4%	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)) #s(literal 1/2 binary64))
	93.3%	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
✓	93.3%	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64))
	50.9%	#s(approx (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 (.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) y))
✓	51.0%	#s(approx (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
▶	40.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) x) #s(literal 1/2 binary64)))
▶	41.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)) x))
▶	80.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z))))
▶	43.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
✓	50.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 420 to 312 computations (25.7% saved)

simplify144.0ms (3.2%)

Memory

3.0MiB live, 194.8MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z))))
cost-diff	0	#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z)))
cost-diff	0	(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 y (/.f64 (sqrt.f64 z) x)))
cost-diff	0	(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
cost-diff	0	(pow.f64 z #s(literal -1/2 binary64))
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)) #s(literal 1/2 binary64))
cost-diff	3	(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	420
0	76	417
1	123	417
2	206	413
3	353	405
4	708	405
5	2681	405
6	6342	405
0	8482	391

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (2.4%)

Memory

-32.5MiB live, 201.0MiB allocated; 17ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z))))
accuracy	0.1171875	(fma.f64 y (sqrt.f64 z) x)
accuracy	3.909582477049477	(/.f64 (fma.f64 y (sqrt.f64 z) x) z)
accuracy	11.99389730115535	(.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)))
accuracy	0.20171578489616815	(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) x) #s(literal 1/2 binary64))
accuracy	2.613476195576227	(*.f64 (/.f64 y x) (sqrt.f64 z))
accuracy	5.7667112939462735	(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) x)
accuracy	31.149769544163437	#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z)))
accuracy	0.23046875	(/.f64 (sqrt.f64 z) x)
accuracy	2.3454232520190166	(*.f64 y (/.f64 (sqrt.f64 z) x))
accuracy	5.768522216527116	(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)) x)
accuracy	31.149769544163437	#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 y (/.f64 (sqrt.f64 z) x)))
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.19921875	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
accuracy	11.99389730115535	(.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
accuracy	30.35253113557086	#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
accuracy	0.0	(*.f64 y z)
accuracy	0.0	#s(approx (+ (* (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x))
accuracy	0.20171578489616815	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)) #s(literal 1/2 binary64))
accuracy	4.049711615054635	(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)

Samples

83.0ms

256×

valid

Compiler

Compiled 258 to 39 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 30.0ms (48.6% of total)

ival-div: 12.0ms (19.4% of total)

ival-pow: 8.0ms (13% of total)

ival-add: 7.0ms (11.3% of total)

ival-sqrt: 4.0ms (6.5% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series33.0ms (0.7%)

Memory

10.7MiB live, 55.6MiB allocated; 6ms collecting garbage

Counts

27 → 148

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	((+ (* (pow z -1/2) (* y z)) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (pow z -1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) x) 1/2) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* y z) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* y (/ (sqrt z) x)) (/ (sqrt z) x) (* (/ y x) (sqrt z)) (/ (+ (* y (sqrt z)) x) z) (+ (* y (sqrt z)) x))
3.0ms	z	@	0	((+ (* (pow z -1/2) (* y z)) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (pow z -1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) x) 1/2) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* y z) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* y (/ (sqrt z) x)) (/ (sqrt z) x) (* (/ y x) (sqrt z)) (/ (+ (* y (sqrt z)) x) z) (+ (* y (sqrt z)) x))
3.0ms	z	@	inf	((+ (* (pow z -1/2) (* y z)) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (pow z -1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) x) 1/2) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* y z) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* y (/ (sqrt z) x)) (/ (sqrt z) x) (* (/ y x) (sqrt z)) (/ (+ (* y (sqrt z)) x) z) (+ (* y (sqrt z)) x))
3.0ms	y	@	-inf	((+ (* (pow z -1/2) (* y z)) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (pow z -1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) x) 1/2) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* y z) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* y (/ (sqrt z) x)) (/ (sqrt z) x) (* (/ y x) (sqrt z)) (/ (+ (* y (sqrt z)) x) z) (+ (* y (sqrt z)) x))
3.0ms	x	@	-inf	((+ (* (pow z -1/2) (* y z)) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (pow z -1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) x) 1/2) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* y z) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* y (/ (sqrt z) x)) (/ (sqrt z) x) (* (/ y x) (sqrt z)) (/ (+ (* y (sqrt z)) x) z) (+ (* y (sqrt z)) x))

simplify118.0ms (2.6%)

Memory

16.8MiB live, 152.5MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	2504
1	778	2450
2	2653	2370
0	8168	2144

Stop Event

1×	iter limit
1×	node limit

Counts

148 → 148

Calls

Call 1

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

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

rewrite56.0ms (1.3%)

Memory

23.8MiB live, 67.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	384
0	76	377
1	215	367
0	1133	353

Stop Event

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

Counts

27 → 178

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 y z) (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x)
(fma.f64 (pow.f64 z #s(literal -1/4 binary64)) (.f64 (pow.f64 z #s(literal -1/4 binary64)) (.f64 y z)) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z x)
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)
(fma.f64 (*.f64 y z) (pow.f64 z #s(literal -1/2 binary64)) x)
(fma.f64 y (*.f64 z (pow.f64 z #s(literal -1/2 binary64))) x)
(fma.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x)))
(-.f64 x (.f64 (neg.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) z))
(-.f64 x (.f64 (neg.f64 (.f64 y z)) (pow.f64 z #s(literal -1/2 binary64))))
(-.f64 x (.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (.f64 y z)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x)
(+.f64 x (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x)))
(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/4 binary64))) (neg.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (.f64 #s(literal 1/2 binary64) z)))
(.f64 (.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) #s(literal 1/2 binary64)) z)
(.f64 (.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) z) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (.f64 #s(literal 1/2 binary64) z))
(.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) z))
(.f64 z (.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (.f64 (/.f64 (sqrt.f64 z) x) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x))
(.f64 x (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (.f64 (/.f64 (sqrt.f64 z) x) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x))
(.f64 x (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)
(.f64 x #s(approx (+ ( (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 (.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) #s(literal 1/2 binary64)) z)
(.f64 (.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) z) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) (*.f64 #s(literal 1/2 binary64) z))
(.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) z))
(.f64 z (.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
(*.f64 y z)
(*.f64 z y)
(.f64 (pow.f64 z #s(literal -1/4 binary64)) (.f64 (pow.f64 z #s(literal -1/4 binary64)) y))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/4 binary64))) (neg.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64))
(.f64 (/.f64 y x) (.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(.f64 (/.f64 (sqrt.f64 z) x) (.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(.f64 (sqrt.f64 z) (.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 z) x) y))
(.f64 y (.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(/.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))
(/.f64 (sqrt.f64 z) x)
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64))
(.f64 (/.f64 y x) (.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(.f64 (/.f64 (sqrt.f64 z) x) (.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(.f64 (sqrt.f64 z) (.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 z) x) y))
(.f64 y (.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(/.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (sqrt.f64 z) y) z) (/.f64 (.f64 (sqrt.f64 z) y) z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (sqrt.f64 z) y) z) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 z) y) z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) z) (/.f64 (.f64 (sqrt.f64 z) y) z) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 (sqrt.f64 z) y) z) (/.f64 x z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x))) (neg.f64 (neg.f64 z)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (neg.f64 z) (.f64 z (neg.f64 x))) (*.f64 z (neg.f64 z)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 z) y) z (.f64 z x)) (*.f64 z z))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) z))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) z))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (*.f64 x x)) z))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) z))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) (neg.f64 z))
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) z))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (neg.f64 z)))
(fma.f64 (sqrt.f64 z) (/.f64 y z) (/.f64 x z))
(fma.f64 y (/.f64 (sqrt.f64 z) z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) z))
(+.f64 (/.f64 (*.f64 (sqrt.f64 z) y) z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 (*.f64 (sqrt.f64 z) y) z))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (.f64 x (.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 x (.f64 (sqrt.f64 z) y))))
(-.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 z)) y))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z)))
(+.f64 x (*.f64 (sqrt.f64 z) y))

eval32.0ms (0.7%)

Memory: -2.8MiB live, 49.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 5 934 to 814 computations (86.3% saved)

prune16.0ms (0.4%)

Memory

-15.6MiB live, 29.0MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	2	0	2
Picked	0	5	5
Done	0	4	4
Total	188	10	198

Accuracy

100.0%

Counts

198 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	93.4%	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)) #s(literal 1/2 binary64))
✓	93.3%	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64))
✓	51.0%	#s(approx (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
✓	40.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) x) #s(literal 1/2 binary64)))
✓	41.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)) x))
✓	80.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z))))
	43.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 z)))))
✓	43.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
✓	50.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 684 to 293 computations (57.2% saved)

regimes43.0ms (0.9%)

Memory

26.9MiB live, 71.8MiB allocated; 5ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
#s(approx (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (.f64 x #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x))
(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)))
#s(approx (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 (.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) y))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))

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

Calls

7 calls:

9.0ms	x
6.0ms	z
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
5.0ms	(sqrt.f64 z)
5.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`(sqrt.f64 z)`
99.8%	1	`(*.f64 y (sqrt.f64 z))`
99.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes17.0ms (0.4%)

Memory

-16.3MiB live, 28.6MiB allocated; 5ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	z
2.0ms	(sqrt.f64 z)
2.0ms	x
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	y

Results

Accuracy	Segments	Branch
99.5%	1	`(sqrt.f64 z)`
99.5%	1	`(*.f64 y (sqrt.f64 z))`
99.5%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes16.0ms (0.3%)

Memory

-25.2MiB live, 25.5MiB allocated; 9ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

7 calls:

6.0ms	(sqrt.f64 z)
2.0ms	z
2.0ms	x
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	(*.f64 y (sqrt.f64 z))

Results

Accuracy	Segments	Branch
66.4%	2	`(sqrt.f64 z)`
79.9%	3	`(*.f64 y (sqrt.f64 z))`
65.5%	7	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
65.5%	7	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
73.4%	3	`x`
78.1%	3	`y`
66.4%	2	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

(*.f64 y (sqrt.f64 z))

Results

Accuracy	Segments	Branch
79.6%	3	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes7.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	y
1.0ms	(sqrt.f64 z)
1.0ms	z
1.0ms	(*.f64 y (sqrt.f64 z))

Results

Accuracy	Segments	Branch
50.7%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
50.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
50.7%	1	`(sqrt.f64 z)`
50.7%	1	`z`
50.7%	1	`x`
50.7%	1	`y`
50.7%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1538732521625629e+78	1.0346191224006027e+80
0.0ms	-3.590775975172458e-30	-4.27457888147426e-38

Compiler

Compiled 13 to 16 computations (-23.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1538732521625629e+78	1.0346191224006027e+80
0.0ms	-3.590775975172458e-30	-4.27457888147426e-38

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify41.0ms (0.9%)

Memory

-18.4MiB live, 27.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	126
1	69	126
2	135	126
3	398	126
4	2182	126
5	7696	126

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Outputs
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ ( (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)) #s(approx (+ ( (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
(if (or (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -178405961588245/89202980794122492566142873090593446023921664 binary64)) (not (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)))) #s(approx (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) #s(approx (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (* 1/2 (sqrt z)) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))

derivations72.0ms (1.6%)

Memory

32.6MiB live, 77.2MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 138 to 34 computations (75.4% saved)

preprocess27.0ms (0.6%)

Memory: 7.5MiB live, 52.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 296 to 88 computations (70.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze133.0ms (3%)

sample1.6s (36.3%)

explain148.0ms (3.3%)

preprocess208.0ms (4.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify160.0ms (3.6%)

localize23.0ms (0.5%)

series39.0ms (0.9%)

simplify110.0ms (2.5%)

rewrite57.0ms (1.3%)

eval6.0ms (0.1%)

prune7.0ms (0.2%)

simplify113.0ms (2.5%)

localize106.0ms (2.4%)

series32.0ms (0.7%)

simplify134.0ms (3%)

rewrite133.0ms (3%)

eval31.0ms (0.7%)

prune16.0ms (0.4%)

simplify182.0ms (4.1%)

localize164.0ms (3.6%)

series37.0ms (0.8%)

simplify120.0ms (2.7%)

rewrite121.0ms (2.7%)

eval33.0ms (0.7%)

prune16.0ms (0.4%)

simplify144.0ms (3.2%)

localize108.0ms (2.4%)

series33.0ms (0.7%)

simplify118.0ms (2.6%)

rewrite56.0ms (1.3%)

eval32.0ms (0.7%)

prune16.0ms (0.4%)

regimes43.0ms (0.9%)

regimes17.0ms (0.4%)

regimes16.0ms (0.3%)

regimes2.0ms (0%)

regimes7.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify41.0ms (0.9%)

derivations72.0ms (1.6%)

preprocess27.0ms (0.6%)

end0.0ms (0%)

Profiling