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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze90.0ms (1.6%)

Memory

-18.8MiB live, 58.6MiB allocated

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)

sample1.5s (26.3%)

Memory

10.8MiB live, 1 112.9MiB allocated

Samples

630.0ms	8 256×	0	valid
245.0ms	2 095×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 427.0ms

ival-mult: 165.0ms (38.7% of total)

ival-div: 115.0ms (26.9% of total)

ival-sqrt: 69.0ms (16.2% of total)

ival-add: 58.0ms (13.6% of total)

exact: 9.0ms (2.1% of total)

ival-true: 7.0ms (1.6% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain175.0ms (3.1%)

Memory

-6.6MiB live, 157.5MiB allocated

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

34.0ms

512×

valid

Compiler

Compiled 134 to 59 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (35.4% of total)

ival-sqrt: 4.0ms (23.6% of total)

ival-div: 3.0ms (17.7% of total)

ival-add: 2.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess72.0ms (1.3%)

Memory

6.4MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	78
1	112	74
2	311	74
3	600	74
4	932	74
5	1348	74
6	1744	74
7	2055	74
8	2168	74
9	2252	74
10	2288	74
11	2292	74
12	2292	74
0	10	8
0	16	8
1	27	8
2	37	8
3	39	8
0	39	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

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)

simplify3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

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	128	(+.f64 x (*.f64 y (sqrt.f64 z)))
cost-diff	704	(/.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	27	26
2	37	26
3	39	26
0	39	24

Stop Event

1×	iter limit
1×	saturated
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

localize25.0ms (0.4%)

Memory

7.7MiB live, 44.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.20308930466585828	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.26171875	(*.f64 y (sqrt.f64 z))

Samples

19.0ms

256×

valid

Compiler

Compiled 62 to 22 computations (64.5% saved)

Precisions

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

ival-mult: 3.0ms (35.8% of total)

ival-div: 2.0ms (23.8% of total)

ival-sqrt: 2.0ms (23.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

5 → 23

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
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

Calls

9 calls:

Time	Variable		Point	Expression
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))
1.0ms	y	@	0	((/ 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))

simplify119.0ms (2.1%)

Memory

-18.2MiB live, 108.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	158
1	251	158
2	801	158
3	2298	150
4	5055	150
5	7539	150
0	8131	135

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

Inputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

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

rewrite234.0ms (4.1%)

Memory

7.7MiB live, 239.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	41	21
2	234	21
3	2001	21
0	8162	19

Stop Event

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

Counts

5 → 272

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 (pow.f64 (/.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (fma.f64 (pow.f64 z #s(literal 9/2 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z y) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) z (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (fma.f64 y (fma.f64 z y (.f64 (sqrt.f64 z) x)) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 z (pow.f64 (.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) #s(literal 2 binary64))))) (-.f64 (.f64 x x) (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) x)))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) x))) (-.f64 (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (fma.f64 (neg.f64 z) (.f64 y y) (*.f64 x x))) (fma.f64 (sqrt.f64 z) y x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (-.f64 x (.f64 (sqrt.f64 z) y))) (pow.f64 (fma.f64 (.f64 z y) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (-.f64 x (.f64 (sqrt.f64 z) y))) (pow.f64 (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) z (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 9/2 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 x (.f64 (sqrt.f64 z) y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))))
(.f64 (neg.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sqrt.f64 z) y) x))))
(.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)))) (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.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 (.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 (sqrt.f64 z) y)))) (/.f64 (.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (.f64 #s(literal 1/2 binary64) (-.f64 x (.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 (exp.f64 (log.f64 y)) (sqrt.f64 z))
(.f64 (pow.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 z) (exp.f64 (log.f64 y)))
(*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z))
(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 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 z)))

eval37.0ms (0.6%)

Memory: -18.3MiB live, 64.5MiB allocated
Compiler: Compiled 8 492 to 946 computations (88.9% saved)

prune11.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	269	11	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	270	11	281

Accuracy

100.0%

Counts

281 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
▶	56.7%	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
▶	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	50.9%	(.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 (sqrt.f64 z) y))))
	89.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
	50.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal -1 binary64))))
	99.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
	94.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
	53.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	49.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 364 to 286 computations (21.4% saved)

simplify453.0ms (8%)

Memory

4.0MiB live, 80.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
cost-diff	0	(.f64 (fma.f64 (.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
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	320	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
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	(*.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 (sqrt.f64 z) #s(literal 1/2 binary64))
cost-diff	320	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	159
0	48	160
1	87	150
2	134	150
3	230	150
4	393	150
5	710	150
6	1691	150
7	3671	150
8	4134	150
9	4380	150
10	4530	150
11	4587	150
12	4601	150
13	5505	150
14	5907	150
15	5907	150
16	5907	150
17	5907	150
18	5963	150
19	6124	150
20	6304	150
21	6726	150
22	7261	150
23	7526	150
24	7528	150
25	7528	150
26	7528	150
27	7576	150
28	7962	150
29	7982	150
30	7990	150
0	7990	150

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize167.0ms (2.9%)

Memory

2.9MiB live, 164.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	0.26171875	(*.f64 (sqrt.f64 z) y)
accuracy	1.7343722476055603	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
accuracy	27.064157029547864	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	0.1171875	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.20308930466585828	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
accuracy	0.43436318350710534	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
accuracy	0	(sqrt.f64 z)
accuracy	0.1171875	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.20308930466585828	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	32.64983862593453	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.1171875	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))

Samples

70.0ms

256×

valid

Compiler

Compiled 330 to 61 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 36.0ms (68.8% of total)

ival-div: 8.0ms (15.3% of total)

ival-add: 4.0ms (7.6% of total)

ival-sqrt: 2.0ms (3.8% of total)

ival-sub: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series382.0ms (6.7%)

Memory

-14.0MiB live, 69.5MiB allocated

Counts

16 → 86

Calls

Call 1

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

Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 2 (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z)))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z))))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z))))))
(* 1/2 (* (pow y 2) z))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(+ (* -1 x) (* y (sqrt z)))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(/ 2 x)
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z))))) x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* -1 x)
(* x (- (* (/ y x) (sqrt z)) 1))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow y 2) z) x)) (* 2 (* y (sqrt z)))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* 2 (* (pow y 2) z))) x)) (* 2 (* y (sqrt z)))) x)) 2) x))
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z))))))
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x)))
(+ (* y (- (* 2 (/ (* y z) (pow x 3))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x)))
(+ (* y (- (* y (- (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 3))))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x)))
(* y z)
(- (* y (sqrt z)) x)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y)
(/ (- (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ x (* y z)))) y)
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (* 2 (sqrt (/ 1 z)))) (+ (* -2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x (* y z))))) y)
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ (sqrt z) (* -1 (/ x y))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x z))) y))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) (* y (pow z 2)))) (* 2 (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ x z))) y))) y))
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y))))
(* 1/2 (sqrt z))
(sqrt z)
(* 1/2 (+ x (* y (sqrt z))))
(/ 2 (+ x (* y (sqrt z))))
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(/ (+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) z)
(/ (- (+ (* 2 (* (/ 1 y) (sqrt z))) (* 2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ x (pow y 2)))) z)
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 4) z))) (* 2 (* (/ 1 y) (sqrt z)))) (+ (* -2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ x (pow y 2))))) z)
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -2 (* (/ 1 y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* -2 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))

Calls

9 calls:

Time	Variable		Point	Expression
336.0ms	z	@	-inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* z y) (* (sqrt z) y) (- (* (sqrt z) y) x))
5.0ms	z	@	0	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* z y) (* (sqrt z) y) (- (* (sqrt z) y) x))
3.0ms	z	@	inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* z y) (* (sqrt z) y) (- (* (sqrt z) y) x))
3.0ms	x	@	inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* z y) (* (sqrt z) y) (- (* (sqrt z) y) x))
3.0ms	y	@	inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* z y) (* (sqrt z) y) (- (* (sqrt z) y) x))

simplify187.0ms (3.3%)

Memory

-21.0MiB live, 174.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	395	1588
1	1290	1456
2	4272	1365
0	8927	1304

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 85

Calls

Call 1

Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 2 (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z)))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z))))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z))))))
(* 1/2 (* (pow y 2) z))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(+ (* -1 x) (* y (sqrt z)))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(/ 2 x)
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z))))) x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* -1 x)
(* x (- (* (/ y x) (sqrt z)) 1))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow y 2) z) x)) (* 2 (* y (sqrt z)))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* 2 (* (pow y 2) z))) x)) (* 2 (* y (sqrt z)))) x)) 2) x))
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z))))))
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x)))
(+ (* y (- (* 2 (/ (* y z) (pow x 3))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x)))
(+ (* y (- (* y (- (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 3))))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x)))
(* y z)
(- (* y (sqrt z)) x)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y)
(/ (- (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ x (* y z)))) y)
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (* 2 (sqrt (/ 1 z)))) (+ (* -2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x (* y z))))) y)
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ (sqrt z) (* -1 (/ x y))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x z))) y))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) (* y (pow z 2)))) (* 2 (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ x z))) y))) y))
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y))))
(* 1/2 (sqrt z))
(sqrt z)
(* 1/2 (+ x (* y (sqrt z))))
(/ 2 (+ x (* y (sqrt z))))
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(/ (+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) z)
(/ (- (+ (* 2 (* (/ 1 y) (sqrt z))) (* 2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ x (pow y 2)))) z)
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 4) z))) (* 2 (* (/ 1 y) (sqrt z)))) (+ (* -2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ x (pow y 2))))) z)
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -2 (* (/ 1 y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* -2 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))

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

rewrite188.0ms (3.3%)

Memory

37.0MiB live, 312.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	116
0	48	106
1	163	96
2	1030	96
0	9001	96

Stop Event

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

Counts

16 → 1 564

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)))) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal -1 binary64)))
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(fma.f64 #s(literal -1 binary64) x (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))))
(fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 (.f64 y (sqrt.f64 z)) #s(literal 1 binary64) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (neg.f64 y) (sqrt.f64 z))))
(fma.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 z)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 z)) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 z))))
(fma.f64 x (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))) (.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)))))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))))
(fma.f64 x #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) (neg.f64 x))
(fma.f64 (sqrt.f64 z) y (neg.f64 x))
(-.f64 (/.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) y) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (fma.f64 (.f64 y z) y (.f64 x (fma.f64 y (sqrt.f64 z) x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y z) y (*.f64 x (fma.f64 y (sqrt.f64 z) x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y z) y) (fma.f64 y (sqrt.f64 z) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 z) x)))
(-.f64 (/.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (fma.f64 (.f64 y z) y (.f64 x (fma.f64 y (sqrt.f64 z) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y z) y (*.f64 x (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))
(-.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (.f64 x (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)))) (.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 z) (.f64 y y) (*.f64 x x)))))
(+.f64 (.f64 (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 (.f64 y z) y) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (.f64 y z) y) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 x x) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))) x) (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))) (*.f64 (neg.f64 y) (sqrt.f64 z))))
(+.f64 (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (-.f64 x (.f64 y (sqrt.f64 z))))) (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 y z) y)))
(+.f64 (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 y z) y)) (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (-.f64 x (.f64 y (sqrt.f64 z))))))
(+.f64 (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))) (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)) (.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))))
(+.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) (neg.f64 x))
(+.f64 (/.f64 (.f64 (.f64 y z) y) (fma.f64 y (sqrt.f64 z) x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 z) x))))
(+.f64 (/.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (fma.f64 (.f64 y z) y (.f64 x (fma.f64 y (sqrt.f64 z) x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y z) y (*.f64 x (fma.f64 y (sqrt.f64 z) x))))))
(+.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))))
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))

eval170.0ms (3%)

Memory: -19.2MiB live, 262.8MiB allocated
Compiler: Compiled 38 949 to 3 336 computations (91.4% saved)

prune27.0ms (0.5%)

Memory

-16.0MiB live, 69.5MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 089	7	1 096
Fresh	6	0	6
Picked	2	3	5
Done	0	0	0
Total	1 097	10	1 107

Accuracy

100.0%

Counts

1 107 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
	56.7%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
▶	26.1%	(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
▶	53.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	56.6%	(.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (/.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))))
▶	94.4%	(.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))
▶	86.5%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
▶	53.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	49.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 300 to 230 computations (23.3% saved)

simplify115.0ms (2%)

Memory

16.8MiB live, 172.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 2 binary64) y)
cost-diff	0	(*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
cost-diff	0	#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
cost-diff	0	(.f64 (.f64 y y) z)
cost-diff	0	#s(approx (+ (* (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z))
cost-diff	0	(.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
cost-diff	0	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
cost-diff	1024	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
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	41	296
0	63	296
1	100	289
2	143	289
3	193	289
4	345	280
5	490	280
6	1291	280
7	4810	280
8	7251	280
0	8063	269

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

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

localize85.0ms (1.5%)

Memory

-10.6MiB live, 148.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.125	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
accuracy	0.35384750976844204	(*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
accuracy	29.774447567801772	#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
accuracy	0.26171875	(*.f64 (sqrt.f64 z) y)
accuracy	8.206544053758371	(.f64 (.f64 y y) z)
accuracy	27.064157029547864	(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	28.927153626567065	#s(approx (+ (* (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z))
accuracy	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
accuracy	0.20308930466585828	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
accuracy	1.9596354214997316	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	6.4734894181595	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
accuracy	0	(sqrt.f64 z)
accuracy	0.20308930466585828	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy	0.26171875	(*.f64 (sqrt.f64 z) y)
accuracy	29.784913680931016	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0	#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
accuracy	0.125	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.20308930466585828	(.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	3.3491478127168683	(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)

Samples

61.0ms

256×

valid

Compiler

Compiled 511 to 78 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 19.0ms (47.6% of total)

ival-div: 9.0ms (22.6% of total)

ival-sqrt: 5.0ms (12.5% of total)

ival-add: 4.0ms (10% of total)

ival-sub: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.5%)

Memory

9.5MiB live, 47.9MiB allocated

Counts

21 → 90

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

Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* (/ y x) (sqrt z))
(/ (+ x (* y (sqrt z))) x)
(* 1/2 (* (pow y 2) z))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(* 2 (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z)))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z))))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
1
(+ 1 (* (/ y x) (sqrt z)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(/ 2 x)
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z))))) x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow y 2) z) x)) (* 2 (* y (sqrt z)))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* 2 (* (pow y 2) z))) x)) (* 2 (* y (sqrt z)))) x)) 2) x))
(* y z)
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x)))
(+ (* y (- (* 2 (/ (* y z) (pow x 3))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x)))
(+ (* y (- (* y (- (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 3))))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x)))
(/ 2 y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y)
(/ (- (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ x (* y z)))) y)
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (* 2 (sqrt (/ 1 z)))) (+ (* -2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x (* y z))))) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x z))) y))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) (* y (pow z 2)))) (* 2 (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ x z))) y))) y))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(/ 2 (+ x (* y (sqrt z))))
(sqrt (/ 1 z))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(/ (+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) z)
(/ (- (+ (* 2 (* (/ 1 y) (sqrt z))) (* 2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ x (pow y 2)))) z)
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 4) z))) (* 2 (* (/ 1 y) (sqrt z)))) (+ (* -2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ x (pow y 2))))) z)
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* -2 (* (/ 1 y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* -2 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* 2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z))))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))

Calls

9 calls:

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

simplify156.0ms (2.8%)

Memory

15.3MiB live, 172.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	1638
1	1327	1490
2	4445	1396
0	8178	1330

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 89

Calls

Call 1

Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* (/ y x) (sqrt z))
(/ (+ x (* y (sqrt z))) x)
(* 1/2 (* (pow y 2) z))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(* 2 (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z)))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z))))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
1
(+ 1 (* (/ y x) (sqrt z)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(/ 2 x)
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z))))) x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow y 2) z) x)) (* 2 (* y (sqrt z)))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* 2 (* (pow y 2) z))) x)) (* 2 (* y (sqrt z)))) x)) 2) x))
(* y z)
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x)))
(+ (* y (- (* 2 (/ (* y z) (pow x 3))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x)))
(+ (* y (- (* y (- (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 3))))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x)))
(/ 2 y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y)
(/ (- (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ x (* y z)))) y)
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (* 2 (sqrt (/ 1 z)))) (+ (* -2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x (* y z))))) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x z))) y))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) (* y (pow z 2)))) (* 2 (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ x z))) y))) y))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(/ 2 (+ x (* y (sqrt z))))
(sqrt (/ 1 z))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(/ (+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) z)
(/ (- (+ (* 2 (* (/ 1 y) (sqrt z))) (* 2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ x (pow y 2)))) z)
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 4) z))) (* 2 (* (/ 1 y) (sqrt z)))) (+ (* -2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ x (pow y 2))))) z)
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* -2 (* (/ 1 y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* -2 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z))
(* 2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z))))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))

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

rewrite162.0ms (2.9%)

Memory

-11.9MiB live, 179.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	245
0	63	245
1	194	228
2	1142	222
0	9026	211

Stop Event

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

Counts

21 → 506

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

Outputs
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)))
(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x))
(.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))))
(.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (pow.f64 (fma.f64 x (fma.f64 (sqrt.f64 z) y x) (.f64 (.f64 y y) z)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (sqrt.f64 z) y x) (.f64 (.f64 y y) z)))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) z)) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y))))
(.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) z (*.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 z) y (neg.f64 x))))
(.f64 (fma.f64 (.f64 y y) z (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 (.f64 y y) z) (.f64 (*.f64 (sqrt.f64 z) y) x)))))
(.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x))
(*.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (fma.f64 (sqrt.f64 z) y (neg.f64 x))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y (neg.f64 x))) (/.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y (neg.f64 x)))) (.f64 (.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y (neg.f64 x)))) (.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y (neg.f64 x)))))) (fma.f64 z (/.f64 (.f64 y y) (fma.f64 (sqrt.f64 z) y (neg.f64 x))) (.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y (neg.f64 x))) (/.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y (neg.f64 x))) (fma.f64 (.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y (neg.f64 x)))) (.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y (neg.f64 x)))) (.f64 (/.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y (neg.f64 x))) (*.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y (neg.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 y y) z (fma.f64 x x (.f64 (.f64 (sqrt.f64 z) y) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) z))) (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)))) (fma.f64 (sqrt.f64 z) y (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 (.f64 x (fma.f64 (sqrt.f64 z) y x)) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) z (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 z) y x)))))
(/.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 x (fma.f64 (sqrt.f64 z) y x)) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 z z) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x (fma.f64 (sqrt.f64 z) y x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y y) z) (.f64 x (fma.f64 (sqrt.f64 z) y x)))))))
(/.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (-.f64 (.f64 x x) (.f64 (.f64 y y) z))) (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (-.f64 x (.f64 (sqrt.f64 z) y))))
(/.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
(/.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 x x (-.f64 (.f64 (.f64 y y) z) (.f64 (.f64 (sqrt.f64 z) y) x)))))
(/.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)))) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))))
(/.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)))) (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) y) x)))
(/.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (sqrt.f64 z) y (neg.f64 x))))
(/.f64 (.f64 (fma.f64 (.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 z) y (neg.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 y y) z (.f64 x x)) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) z (*.f64 x x)) (fma.f64 (sqrt.f64 z) y (neg.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 z z) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 z z) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 z) y (neg.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y (neg.f64 x))) (.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (fma.f64 (sqrt.f64 z) y (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) z)) (-.f64 x (.f64 (sqrt.f64 z) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 y y) z) (.f64 (.f64 (sqrt.f64 z) y) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) y) x))
(/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (sqrt.f64 z) y (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 y y) z) (.f64 (.f64 (sqrt.f64 z) y) x))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (-.f64 (.f64 x x) (.f64 (.f64 y y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 (.f64 y y) z) (.f64 (.f64 (sqrt.f64 z) y) x))) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1 binary64))
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#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y)))
(/.f64 (neg.f64 #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y))) #s(literal -1 binary64))))
(/.f64 #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y)))))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ 1 ( (+ (* (sqrt z) y) x) 1/2)) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/4 binary64)) y) (/.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (sqrt.f64 z))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 z) (neg.f64 y))))
(*.f64 (/.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) y))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 z) y)))
(pow.f64 (/.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 z))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) #s(literal -1 binary64))
(pow.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 z))) y)
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -2 binary64))) y)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)))) y)
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) y)) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (neg.f64 y) (sqrt.f64 (neg.f64 z))))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (neg.f64 z))))
(/.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 y (sqrt.f64 (neg.f64 z))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 z))))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)) (.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 (neg.f64 z)) y))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (neg.f64 z)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z))) (neg.f64 y))
(/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) y)
(/.f64 #s(literal -2 binary64) (*.f64 y (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) y))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z)))
(/.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 z) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 y #s(literal 1/2 binary64))) (sqrt.f64 z)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 y #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 z)) (.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (neg.f64 (.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 z))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (sqrt.f64 z) (neg.f64 y))))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)))
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y))
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal -2 binary64) (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) (neg.f64 y)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) y))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 y #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 z))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) #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 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 z))))
(/.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) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(fabs.f64 (pow.f64 z #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)))

eval99.0ms (1.7%)

Memory: 25.7MiB live, 144.4MiB allocated
Compiler: Compiled 19 909 to 2 794 computations (86% saved)

prune15.0ms (0.3%)

Memory

0.8MiB live, 37.1MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	706	2	708
Fresh	2	0	2
Picked	3	2	5
Done	0	3	3
Total	711	7	718

Accuracy

100.0%

Counts

718 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	94.4%	(.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))
▶	47.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	53.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
▶	46.4%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 z (/.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64))
✓	49.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 91 to 77 computations (15.4% saved)

simplify4.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
0	23	85
1	32	85
2	33	85
0	33	81

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.6%)

Memory

-5.9MiB live, 41.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 z)
accuracy	0.20308930466585828	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
accuracy	6.9628861637971164	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	29.784913680931016	#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0.20308930466585828	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 z (/.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64))
accuracy	0.21875	(/.f64 y (sqrt.f64 z))
accuracy	7.860134496226689	(*.f64 z (/.f64 y (sqrt.f64 z)))
accuracy	29.784913680931016	#s(approx (+ (* (sqrt z) y) x) (*.f64 z (/.f64 y (sqrt.f64 z))))

Samples

23.0ms

256×

valid

Compiler

Compiled 144 to 30 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (47.6% of total)

ival-div: 3.0ms (23.8% of total)

ival-sqrt: 2.0ms (15.9% of total)

ival-add: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

-19.1MiB live, 18.3MiB allocated

Counts

9 → 25

Calls

Call 1

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

Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (sqrt (/ 1 z)))
(* y z)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* z (/ y (sqrt z))) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (sqrt z))
5.0ms	y	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* z (/ y (sqrt z))) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (sqrt z))
2.0ms	y	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* z (/ y (sqrt z))) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (sqrt z))
1.0ms	z	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* z (/ y (sqrt z))) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (sqrt z))
1.0ms	y	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* z (/ y (sqrt z))) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (sqrt z))

simplify111.0ms (1.9%)

Memory

29.8MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	167
1	253	167
2	795	167
3	2285	159
4	5048	159
5	7519	159
0	8107	144

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (sqrt (/ 1 z)))
(* y z)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

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

rewrite386.0ms (6.8%)

Memory

-116.3MiB live, 243.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	77
0	23	77
1	59	77
2	274	65
3	2113	65
0	8244	61

Stop Event

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

Counts

9 → 364

Calls

Call 1

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

Outputs
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (sqrt.f64 z)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 z) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y z) (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 z) (sqrt.f64 z)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 z) y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (/.f64 (neg.f64 z) (sqrt.f64 z)) (neg.f64 y))
(.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y z)) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (*.f64 y z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 z)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 z)))
(.f64 (/.f64 (.f64 y z) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 3/4 binary64)))
(*.f64 (pow.f64 z #s(literal 3/4 binary64)) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y z)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 y) (sqrt.f64 z)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (sqrt.f64 z)))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 z (pow.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 y z))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 z) y))
(.f64 (neg.f64 y) (.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 z) (sqrt.f64 z)))
(.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (.f64 y z) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (sqrt.f64 z)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (sqrt.f64 z)) z)
(*.f64 (sqrt.f64 z) (exp.f64 (log.f64 y)))
(*.f64 (sqrt.f64 z) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) y)
(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 z))
(*.f64 z (/.f64 y (sqrt.f64 z)))
(pow.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (.f64 y y) z (.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) z (.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (neg.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1 binary64))) (sqrt.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 y z) (pow.f64 z #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) y))) (sqrt.f64 z))
(/.f64 (neg.f64 (*.f64 z #s(literal -1 binary64))) (/.f64 (sqrt.f64 z) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (.f64 y z) #s(literal -1 binary64)))) (.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 1/4 binary64))) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (.f64 (neg.f64 z) y) (pow.f64 z #s(literal 1/4 binary64))))) (.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 z #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) y)) (.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) (.f64 (neg.f64 z) y))) (.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y z))) z)
(/.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 z)) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) y)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 y z) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 (sqrt.f64 z) y))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64))))
(/.f64 (neg.f64 z) (/.f64 (neg.f64 (sqrt.f64 z)) y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) y))
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (*.f64 y z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 y z) (sqrt.f64 z))
(/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 z (/.f64 (sqrt.f64 z) y))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (sqrt.f64 z))))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) z))
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(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y)))
(.f64 (.f64 (*.f64 (sqrt.f64 z) y) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 z)) y)
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 z) y)))
(*.f64 (neg.f64 z) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) y))
(.f64 #s(literal 1 binary64) (.f64 y z))
(*.f64 (neg.f64 y) (neg.f64 z))
(.f64 (.f64 y z) #s(literal 1 binary64))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) y))
(.f64 (.f64 (sqrt.f64 z) y) (sqrt.f64 z))
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(*.f64 z y)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 z) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) y)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 z) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 z) y))))
(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 z) y)) (log.f64 (sqrt.f64 z))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 z (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z))
(pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 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 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 z (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))))))
(/.f64 (neg.f64 (*.f64 z #s(literal -1 binary64))) (sqrt.f64 z))
(/.f64 (neg.f64 (/.f64 z #s(literal 1 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (pow.f64 z #s(literal 3/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (neg.f64 (neg.f64 z)) (sqrt.f64 z))
(/.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 z (sqrt.f64 z))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 z)))
(neg.f64 (neg.f64 (sqrt.f64 z)))
(sqrt.f64 (/.f64 (*.f64 z z) z))
(sqrt.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 (neg.f64 z) (sqrt.f64 z)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sqrt.f64 z)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (sqrt.f64 z))) (log.f64 z)))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64) (log.f64 z)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1/2 binary64) (log.f64 z)))
(exp.f64 (+.f64 (log.f64 z) (neg.f64 (log.f64 (sqrt.f64 z)))))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 z) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 z))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 z)))

eval64.0ms (1.1%)

Memory: -5.3MiB live, 112.9MiB allocated
Compiler: Compiled 6 516 to 1 425 computations (78.1% saved)

prune13.0ms (0.2%)

Memory

-9.2MiB live, 29.2MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	329	1	330
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	329	8	337

Accuracy

100.0%

Counts

337 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	94.4%	(.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))
✓	47.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	53.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	46.4%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 z (/.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64))
	46.3%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 z #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) #s(literal 1/2 binary64))
✓	49.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 492 to 210 computations (57.3% saved)

regimes48.0ms (0.8%)

Memory

-5.8MiB live, 71.4MiB allocated

Counts

22 → 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)))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 z (/.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 z #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(.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 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (/.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))))
(.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 (sqrt.f64 z) y))))
(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal -1 binary64))))

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

Calls

7 calls:

7.0ms	y
7.0ms	(*.f64 y (sqrt.f64 z))
7.0ms	(sqrt.f64 z)
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
6.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes17.0ms (0.3%)

Memory

-13.8MiB live, 27.9MiB allocated

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

4.0ms	x
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	(sqrt.f64 z)
2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	z

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes14.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated

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)))

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

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

7 calls:

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

Results

Accuracy	Segments	Branch
78.3%	3	`x`
78.5%	3	`y`
64.5%	2	`z`
65.9%	6	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
65.9%	6	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
80.4%	3	`(*.f64 y (sqrt.f64 z))`
64.5%	2	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes10.0ms (0.2%)

Memory

-17.8MiB live, 21.2MiB allocated

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:

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

Results

Accuracy	Segments	Branch
49.0%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
49.0%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
49.0%	1	`z`
49.0%	1	`(sqrt.f64 z)`
49.0%	1	`x`
49.0%	1	`y`
49.0%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.4589947007118534	8535216119.089032
0.0ms	-5.0654591231981606e-5	-2.5345708281552633e-12

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify24.0ms (0.4%)

Memory

5.2MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	84
1	36	84

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) 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 -7378697629483821/147573952589676412928 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 1/2 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 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 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 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -7378697629483821/147573952589676412928 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 1/2 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 (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -7378697629483821/147573952589676412928 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(literal 1/2 binary64))) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 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 x #s(literal 1/2 binary64)))

soundness377.0ms (6.6%)

Memory

2.6MiB live, 193.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	158
1	251	158
2	801	158
3	2298	150
4	5055	150
5	7539	150
0	8131	135
0	10	21
0	16	21
1	41	21
2	234	21
3	2001	21
0	8162	19

Stop Event

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

Compiler

Compiled 170 to 74 computations (56.5% saved)

preprocess52.0ms (0.9%)

Memory: 29.0MiB live, 72.3MiB allocated
Compiler: Compiled 204 to 72 computations (64.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze90.0ms (1.6%)

sample1.5s (26.3%)

explain175.0ms (3.1%)

preprocess72.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize25.0ms (0.4%)

series8.0ms (0.1%)

simplify119.0ms (2.1%)

rewrite234.0ms (4.1%)

eval37.0ms (0.6%)

prune11.0ms (0.2%)

simplify453.0ms (8%)

localize167.0ms (2.9%)

series382.0ms (6.7%)

simplify187.0ms (3.3%)

rewrite188.0ms (3.3%)

eval170.0ms (3%)

prune27.0ms (0.5%)

simplify115.0ms (2%)

localize85.0ms (1.5%)

series28.0ms (0.5%)

simplify156.0ms (2.8%)

rewrite162.0ms (2.9%)

eval99.0ms (1.7%)

prune15.0ms (0.3%)

simplify4.0ms (0.1%)

localize35.0ms (0.6%)

series18.0ms (0.3%)

simplify111.0ms (1.9%)

rewrite386.0ms (6.8%)

eval64.0ms (1.1%)

prune13.0ms (0.2%)

regimes48.0ms (0.8%)

regimes17.0ms (0.3%)

regimes14.0ms (0.2%)

regimes10.0ms (0.2%)

bsearch1.0ms (0%)

simplify24.0ms (0.4%)

soundness377.0ms (6.6%)

preprocess52.0ms (0.9%)

end0.0ms (0%)

Profiling