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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze47.0ms (0.8%)

Memory

25.8MiB live, 102.6MiB 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)

sample1.4s (24.2%)

Memory

-1.7MiB live, 1 051.8MiB allocated

Samples

720.0ms	8 255×	0	valid
233.0ms	2 103×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 566.0ms

ival-div: 171.0ms (30.2% of total)

ival-mult: 159.0ms (28.1% of total)

ival-add: 142.0ms (25.1% of total)

ival-sqrt: 70.0ms (12.4% of total)

exact: 10.0ms (1.8% of total)

ival-true: 9.0ms (1.6% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain130.0ms (2.3%)

Memory

22.4MiB live, 98.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

64.0ms

512×

valid

Compiler

Compiled 104 to 44 computations (57.7% saved)

Precisions

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

ival-mult: 6.0ms (35% of total)

ival-sqrt: 4.0ms (23.3% of total)

ival-div: 3.0ms (17.5% of total)

ival-add: 2.0ms (11.7% of total)

exact: 1.0ms (5.8% of total)

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

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

preprocess76.0ms (1.3%)

Memory

-35.8MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	78
1	112	74
2	311	74
3	629	74
4	1004	74
5	1489	74
6	1931	74
7	2250	74
8	2399	74
9	2485	74
10	2525	74
11	2529	74
12	2529	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

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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

1.5MiB live, 1.5MiB 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

localize23.0ms (0.4%)

Memory

26.6MiB live, 26.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.19921875	(*.f64 y (sqrt.f64 z))

Samples

16.0ms

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 (36.2% of total)

ival-div: 2.0ms (24.1% of total)

ival-sqrt: 2.0ms (24.1% of total)

ival-add: 1.0ms (12.1% 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

-25.0MiB live, 13.7MiB 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
10.0ms	y	@	inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
2.0ms	y	@	-inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	z	@	-inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	z	@	inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	0	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))

simplify126.0ms (2.2%)

Memory

30.5MiB live, 105.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	158
1	251	158
2	805	158
3	2310	150
4	5209	150
5	7705	150
0	8081	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)

rewrite241.0ms (4.3%)

Memory

-5.5MiB live, 262.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	41	21
2	234	21
3	2021	21
0	8198	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)))
(.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))))) (pow.f64 (fma.f64 (.f64 z y) y (.f64 x (-.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)))

eval34.0ms (0.6%)

Memory: -5.2MiB live, 79.9MiB allocated
Compiler: Compiled 8 492 to 946 computations (88.9% saved)

prune10.0ms (0.2%)

Memory

-6.3MiB live, 33.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	270	10	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	271	10	281

Accuracy

100.0%

Counts

281 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(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)))
▶	53.3%	(/.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))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	83.2%	(.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)))))))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
	99.6%	(.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))))))
▶	91.5%	#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)))
	52.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	49.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 316 to 252 computations (20.3% saved)

simplify332.0ms (5.9%)

Memory

12.8MiB live, 90.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.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)))))))
cost-diff	128	(neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1728	(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))))))
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	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
cost-diff	0	#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)))
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	(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))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	263
0	65	254
1	125	254
2	257	252
3	583	246
4	1161	246
5	2132	246
6	4063	246
7	4855	246
8	5189	246
9	5364	246
10	5376	246
11	5388	246
12	5963	246
13	6170	246
14	6188	246
15	6192	246
16	6192	246
17	6192	246
18	6246	246
19	6362	246
20	6478	246
21	6478	246
0	6478	246

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize457.0ms (8.1%)

Memory

-19.8MiB live, 144.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(*.f64 (sqrt.f64 z) y)
accuracy	3.4029880968452306	(/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))
accuracy	5.133147245318196	(/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))
accuracy	6.307333106983319	(.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))))
accuracy	0.00390625	(.f64 (fma.f64 (.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))
accuracy	0.19921875	(*.f64 (sqrt.f64 z) y)
accuracy	3.308582052701738	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
accuracy	29.24863655617649	(/.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	0.0	(*.f64 z y)
accuracy	0.0	#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)))
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	5.455653919162905	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	32.28318721144017	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.1171875	(fma.f64 (sqrt.f64 z) y x)

Samples

409.0ms

256×

valid

Compiler

Compiled 537 to 77 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 58.0ms (56.7% of total)

ival-sqrt: 26.0ms (25.4% of total)

ival-div: 8.0ms (7.8% of total)

ival-add: 5.0ms (4.9% of total)

ival-sub: 2.0ms (2% of total)

ival-neg: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series86.0ms (1.5%)

Memory

8.0MiB live, 87.5MiB allocated

Counts

21 → 180

Calls

Call 1

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

Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 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))
(- x (* -1 (* y (sqrt z))))
(- (* x (+ 1 (* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z))))))) (* -1 (* y (sqrt z))))
(- (* x (+ 1 (* (/ x y) (sqrt (/ 1 z))))) (* -1 (* y (sqrt z))))
(- (* x (+ 1 (* x (+ (* (/ 1 y) (sqrt (/ 1 z))) (/ x (* (pow y 2) z)))))) (* -1 (* y (sqrt z))))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z)))))))))
(* -1 (* y (sqrt z)))
(+ (* -1 x) (* -1 (* y (sqrt z))))
(+ (* -1 (* y (sqrt z))) (* x (- (* -1 (* (/ x y) (sqrt (/ 1 z)))) 1)))
(+ (* -1 (* y (sqrt z))) (* x (- (* x (- (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z))))) 1)))
(* -1 (sqrt (/ 1 z)))
(+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))
(+ (* -1 (sqrt (/ 1 z))) (* x (- (* -1 (* (/ x (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ 1 (* y z)))))
(+ (* -1 (sqrt (/ 1 z))) (* x (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 2)))) (* (/ 1 (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (/ 1 (* y z)))))
(* -1 (* (/ x y) (sqrt (/ 1 z))))
(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* -1 (/ x (* (pow y 2) z)))))
(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* -1 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (/ 1 (* (pow y 2) z))))))
(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3)))))) (/ 1 (* (pow y 2) z))))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 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))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2)))) (* -1 (* (/ y x) (sqrt z)))))
(* -1 (/ (* (pow y 2) z) x))
(/ (- (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* (pow y 2) z)) x)
(/ (- (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 2)))) (* (pow y 2) z)) x)
(/ (- (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (+ (* -1 (* (/ (pow y 5) (pow x 3)) (sqrt (pow z 5)))) (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 2))))) (* (pow y 2) z)) x)
(* x (+ 1/2 (+ (* -1/2 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2))) (* 1/2 (* (/ y x) (sqrt z))))))
(/ (* (pow y 2) z) x)
(/ (+ (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)
(/ (- (+ (* (pow y 2) z) (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3))))) x)
(/ (- (+ (* (/ (pow y 5) (pow x 3)) (sqrt (pow z 5))) (* (pow y 2) z)) (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 2))))) x)
(/ y x)
(/ (+ y (* (/ (pow y 2) x) (sqrt z))) x)
(/ (- (+ y (/ (* (pow y 3) z) (pow x 2))) (* -1 (* (/ (pow y 2) x) (sqrt z)))) x)
(/ (- (+ y (* (/ (pow y 4) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1 (* (/ (pow y 2) x) (sqrt z))) (* -1 (/ (* (pow y 3) z) (pow x 2))))) x)
1
(+ 1 (* (/ y x) (sqrt z)))
(- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* -1 (* (/ y x) (sqrt z))))
(- (+ 1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1 (* (/ y x) (sqrt z))) (* -1 (/ (* (pow y 2) z) (pow x 2)))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* -1 (* (pow y 2) z))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 4) (pow z 2)) x)) (* (pow y 3) (sqrt (pow z 3)))) x)) (* -1 (* (pow y 2) z))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 5) x) (sqrt (pow z 5))) (* -1 (* (pow y 4) (pow z 2)))) x)) (* (pow y 3) (sqrt (pow z 3)))) x)) (* -1 (* (pow y 2) z))) x))
(* -1 (/ (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -1 (* (pow y 2) z))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) z)) (* -1 (/ (+ (* (pow y 3) (sqrt (pow z 3))) (/ (* (pow y 4) (pow z 2)) x)) x))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (pow y 5) x) (sqrt (pow z 5)))) (* -1 (* (pow y 4) (pow z 2)))) x)) (* (pow y 3) (sqrt (pow z 3)))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (* (/ (pow y 2) x) (sqrt z)))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* (pow y 2) (sqrt z)) (/ (* (pow y 3) z) x)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (pow y 4) x) (sqrt (pow z 3)))) (* -1 (* (pow y 3) z))) x)) (* (pow y 2) (sqrt z))) x))) x))
(+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y (sqrt z))) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))
(* y z)
(+ x (* y (- (* -1 (* y (+ (* -1 (/ z x)) (/ z x)))) (* -1 (sqrt z)))))
(* (pow y 2) (- (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (/ z x)))
(* (pow y 2) (- (* y (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* -1 (/ (* y (pow z 2)) (pow x 3))))) (/ z x)))
(* (pow y 2) (- (* y (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* y (+ (* -1 (* (/ y (pow x 4)) (sqrt (pow z 5)))) (* -1 (/ (pow z 2) (pow x 3))))))) (/ z x)))
(+ (* 1/2 x) (* y (+ (* -1/2 (* y (+ (* -1 (/ z x)) (/ z x)))) (* 1/2 (sqrt z)))))
(* (pow y 2) (+ (* (/ y (pow x 2)) (sqrt (pow z 3))) (/ z x)))
(* (pow y 2) (+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (/ z x)))
(* (pow y 2) (+ (* y (- (* y (- (* (/ y (pow x 4)) (sqrt (pow z 5))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (/ z x)))
(* y (+ (* (/ y (pow x 2)) (sqrt z)) (/ 1 x)))
(* y (+ (* y (- (/ (* y z) (pow x 3)) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (/ 1 x)))
(* y (+ (* y (- (* y (- (* (/ y (pow x 4)) (sqrt (pow z 3))) (* -1 (/ z (pow x 3))))) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (/ 1 x)))
(+ 1 (* y (- (/ (* y z) (pow x 2)) (* -1 (* (/ 1 x) (sqrt z))))))
(+ 1 (* y (- (* y (- (* (/ y (pow x 3)) (sqrt (pow z 3))) (* -1 (/ z (pow x 2))))) (* -1 (* (/ 1 x) (sqrt z))))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x 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 (- (/ x y) (* -1 (sqrt z))))
(* y (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (/ x y))) (* -1 (sqrt z))))
(* y (- (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (/ x y)) (* -1 (sqrt z))))
(* y (- (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (+ (/ x y) (/ (pow x 3) (* (pow y 3) z)))) (* -1 (sqrt z))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (* 1/2 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) (pow y 2))))))
(* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))
(* y (- (+ (* -1 (sqrt z)) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (/ x y)))
(* y (- (+ (* -1 (sqrt z)) (* -1 (/ (pow x 3) (* (pow y 3) z)))) (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (/ x y))))
(- (+ (* -1 (sqrt (/ 1 z))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (/ x (* y z)))
(- (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))) (/ x (* y z))))
(/ (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (/ (pow x 2) (* y z)))) y)
(/ (- (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (/ (pow x 2) (* y z))) y)
(/ (- (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 2))))) (+ (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3)))) (/ (pow x 2) (* y z)))) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) (sqrt z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y))) y)) (sqrt z))))
(* -1 (* y (- (* -1 (/ (+ x (* (/ (pow x 2) y) (sqrt (/ 1 z)))) y)) (sqrt z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (* y z)))) y))) y)) (sqrt z))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (sqrt z) (/ x y))))
(* -1 (* y (+ (sqrt z) (* -1 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) x) y)))))
(* -1 (* y (+ (sqrt z) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y z)) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) y)) x) y)))))
(+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (* -1 (/ x z))) y)))
(+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow z 2)))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (* -1 (/ x z))) y)))
(* -1 (/ (+ (* x (sqrt (/ 1 z))) (/ (pow x 2) (* y z))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 3) y) (sqrt (/ 1 (pow z 3))))) (/ (pow x 2) z)) y)) (* x (sqrt (/ 1 z)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) (* y (pow z 2))) (* -1 (* (pow x 3) (sqrt (/ 1 (pow z 3)))))) y)) (/ (pow x 2) z)) y)) (* x (sqrt (/ 1 z)))) 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))))
(/ (pow x 2) (- x (* y (sqrt z))))
(+ (* -1 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (/ (pow x 2) (- x (* y (sqrt z)))))
(* -1 (/ (* (pow y 2) z) (- x (* y (sqrt z)))))
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))))
(sqrt (/ 1 z))
(/ (* (pow y 2) z) (- x (* y (sqrt z))))
(/ y (- x (* y (sqrt z))))
(/ x (- x (* y (sqrt z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x 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)))
(- (+ x (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (* -1 (* y (sqrt z))))
(- (+ x (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (+ (* -1 (* y (sqrt z))) (/ (pow x 3) (* (pow y 2) z))))
(- (+ x (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (+ (* -1 (* y (sqrt z))) (* (/ (pow x 4) (pow y 3)) (sqrt (/ 1 (pow z 3))))))
(- (+ x (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* -1 (* y (sqrt z))))
(- (+ x (+ (* (/ (pow x 2) y) (sqrt (/ 1 z))) (/ (pow x 3) (* (pow y 2) z)))) (* -1 (* y (sqrt z))))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z)) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z)) z)) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt (pow z 3))) (/ (* (pow x 3) z) (pow y 2))) (pow z 2)))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z)) z)) (+ (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt (pow z 3))) (/ (* (pow x 3) z) (pow y 2))) (pow z 2))) (* 1/2 (/ (- (/ (* (pow x 3) (pow z 2)) (pow y 2)) (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (pow z 3))))))
(- (+ (* -1 (* y (sqrt z))) (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z))))) x)
(- (+ (* -1 (* y (sqrt z))) (* -1 (/ (pow x 3) (* (pow y 2) z)))) (+ x (* (/ (pow x 2) y) (sqrt (/ 1 z)))))
(/ (+ (* -1 (sqrt z)) (* -1 (/ x y))) z)
(/ (- (+ (* -1 (sqrt z)) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (/ x y)) z)
(/ (- (+ (* -1 (sqrt z)) (* -1 (/ (pow x 3) (* (pow y 3) z)))) (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (/ x y))) z)
(/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (pow x 2) (pow y 2)))) z)
(/ (- (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))))) (/ (pow x 2) (pow y 2))) z)
(/ (- (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (pow x 4) (* (pow y 4) z)))) (+ (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))) (/ (pow x 2) (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))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x 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 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(- (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z)))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(- (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (- (+ (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z)) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 4)))) (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(- (* -1 (/ x (pow (sqrt -1) 2))) (* y (sqrt z)))
(- (* -1 (/ (- (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 4))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(+ (* -1 (/ (+ (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* 1/2 (/ (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3))))) (* 1/2 (/ (+ (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))) (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) z))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(+ (* y (sqrt z)) (/ x (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(+ (* -1 (/ (+ (* -1 (/ (* x z) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 4)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z))) z)) (* y (sqrt z)))
(* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ x (* y (pow (sqrt -1) 2))))) z))
(* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt z)) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) z))
(* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 3) (pow (sqrt -1) 4))) (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z)) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) z))
(* (/ x y) (sqrt (/ 1 z)))
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))))) z))
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (- (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z)) (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z))) z))
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4))) (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z)) (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z))) z))

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	y	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* 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)) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y)))))) (/ 1 2) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))) (* (/ 1 2) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))))) (sqrt (/ 1 z)) (* (sqrt z) y) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
17.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* 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)) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y)))))) (/ 1 2) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))) (* (/ 1 2) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))))) (sqrt (/ 1 z)) (* (sqrt z) y) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
7.0ms	y	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* 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)) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y)))))) (/ 1 2) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))) (* (/ 1 2) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))))) (sqrt (/ 1 z)) (* (sqrt z) y) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
6.0ms	z	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* 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)) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y)))))) (/ 1 2) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))) (* (/ 1 2) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))))) (sqrt (/ 1 z)) (* (sqrt z) y) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
5.0ms	x	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* 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)) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y)))))) (/ 1 2) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))) (* (/ 1 2) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))))) (sqrt (/ 1 z)) (* (sqrt z) y) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))

simplify167.0ms (3%)

Memory

10.2MiB live, 240.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	852	4295
1	2890	3802
0	8781	3637

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 179

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)
(* 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))
(- x (* -1 (* y (sqrt z))))
(- (* x (+ 1 (* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z))))))) (* -1 (* y (sqrt z))))
(- (* x (+ 1 (* (/ x y) (sqrt (/ 1 z))))) (* -1 (* y (sqrt z))))
(- (* x (+ 1 (* x (+ (* (/ 1 y) (sqrt (/ 1 z))) (/ x (* (pow y 2) z)))))) (* -1 (* y (sqrt z))))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z)))))))))
(* -1 (* y (sqrt z)))
(+ (* -1 x) (* -1 (* y (sqrt z))))
(+ (* -1 (* y (sqrt z))) (* x (- (* -1 (* (/ x y) (sqrt (/ 1 z)))) 1)))
(+ (* -1 (* y (sqrt z))) (* x (- (* x (- (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z))))) 1)))
(* -1 (sqrt (/ 1 z)))
(+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))
(+ (* -1 (sqrt (/ 1 z))) (* x (- (* -1 (* (/ x (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ 1 (* y z)))))
(+ (* -1 (sqrt (/ 1 z))) (* x (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 2)))) (* (/ 1 (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (/ 1 (* y z)))))
(* -1 (* (/ x y) (sqrt (/ 1 z))))
(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* -1 (/ x (* (pow y 2) z)))))
(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* -1 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (/ 1 (* (pow y 2) z))))))
(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3)))))) (/ 1 (* (pow y 2) z))))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 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))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2)))) (* -1 (* (/ y x) (sqrt z)))))
(* -1 (/ (* (pow y 2) z) x))
(/ (- (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* (pow y 2) z)) x)
(/ (- (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 2)))) (* (pow y 2) z)) x)
(/ (- (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (+ (* -1 (* (/ (pow y 5) (pow x 3)) (sqrt (pow z 5)))) (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 2))))) (* (pow y 2) z)) x)
(* x (+ 1/2 (+ (* -1/2 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2))) (* 1/2 (* (/ y x) (sqrt z))))))
(/ (* (pow y 2) z) x)
(/ (+ (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)
(/ (- (+ (* (pow y 2) z) (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3))))) x)
(/ (- (+ (* (/ (pow y 5) (pow x 3)) (sqrt (pow z 5))) (* (pow y 2) z)) (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 2))))) x)
(/ y x)
(/ (+ y (* (/ (pow y 2) x) (sqrt z))) x)
(/ (- (+ y (/ (* (pow y 3) z) (pow x 2))) (* -1 (* (/ (pow y 2) x) (sqrt z)))) x)
(/ (- (+ y (* (/ (pow y 4) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1 (* (/ (pow y 2) x) (sqrt z))) (* -1 (/ (* (pow y 3) z) (pow x 2))))) x)
1
(+ 1 (* (/ y x) (sqrt z)))
(- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* -1 (* (/ y x) (sqrt z))))
(- (+ 1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1 (* (/ y x) (sqrt z))) (* -1 (/ (* (pow y 2) z) (pow x 2)))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* -1 (* (pow y 2) z))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 4) (pow z 2)) x)) (* (pow y 3) (sqrt (pow z 3)))) x)) (* -1 (* (pow y 2) z))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 5) x) (sqrt (pow z 5))) (* -1 (* (pow y 4) (pow z 2)))) x)) (* (pow y 3) (sqrt (pow z 3)))) x)) (* -1 (* (pow y 2) z))) x))
(* -1 (/ (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -1 (* (pow y 2) z))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) z)) (* -1 (/ (+ (* (pow y 3) (sqrt (pow z 3))) (/ (* (pow y 4) (pow z 2)) x)) x))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (pow y 5) x) (sqrt (pow z 5)))) (* -1 (* (pow y 4) (pow z 2)))) x)) (* (pow y 3) (sqrt (pow z 3)))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (* (/ (pow y 2) x) (sqrt z)))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* (pow y 2) (sqrt z)) (/ (* (pow y 3) z) x)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (pow y 4) x) (sqrt (pow z 3)))) (* -1 (* (pow y 3) z))) x)) (* (pow y 2) (sqrt z))) x))) x))
(+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y (sqrt z))) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))
(* y z)
(+ x (* y (- (* -1 (* y (+ (* -1 (/ z x)) (/ z x)))) (* -1 (sqrt z)))))
(* (pow y 2) (- (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (/ z x)))
(* (pow y 2) (- (* y (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* -1 (/ (* y (pow z 2)) (pow x 3))))) (/ z x)))
(* (pow y 2) (- (* y (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* y (+ (* -1 (* (/ y (pow x 4)) (sqrt (pow z 5)))) (* -1 (/ (pow z 2) (pow x 3))))))) (/ z x)))
(+ (* 1/2 x) (* y (+ (* -1/2 (* y (+ (* -1 (/ z x)) (/ z x)))) (* 1/2 (sqrt z)))))
(* (pow y 2) (+ (* (/ y (pow x 2)) (sqrt (pow z 3))) (/ z x)))
(* (pow y 2) (+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (/ z x)))
(* (pow y 2) (+ (* y (- (* y (- (* (/ y (pow x 4)) (sqrt (pow z 5))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (/ z x)))
(* y (+ (* (/ y (pow x 2)) (sqrt z)) (/ 1 x)))
(* y (+ (* y (- (/ (* y z) (pow x 3)) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (/ 1 x)))
(* y (+ (* y (- (* y (- (* (/ y (pow x 4)) (sqrt (pow z 3))) (* -1 (/ z (pow x 3))))) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (/ 1 x)))
(+ 1 (* y (- (/ (* y z) (pow x 2)) (* -1 (* (/ 1 x) (sqrt z))))))
(+ 1 (* y (- (* y (- (* (/ y (pow x 3)) (sqrt (pow z 3))) (* -1 (/ z (pow x 2))))) (* -1 (* (/ 1 x) (sqrt z))))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x 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 (- (/ x y) (* -1 (sqrt z))))
(* y (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (/ x y))) (* -1 (sqrt z))))
(* y (- (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (/ x y)) (* -1 (sqrt z))))
(* y (- (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (+ (/ x y) (/ (pow x 3) (* (pow y 3) z)))) (* -1 (sqrt z))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (* 1/2 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) (pow y 2))))))
(* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))
(* y (- (+ (* -1 (sqrt z)) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (/ x y)))
(* y (- (+ (* -1 (sqrt z)) (* -1 (/ (pow x 3) (* (pow y 3) z)))) (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (/ x y))))
(- (+ (* -1 (sqrt (/ 1 z))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (/ x (* y z)))
(- (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))) (/ x (* y z))))
(/ (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (/ (pow x 2) (* y z)))) y)
(/ (- (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (/ (pow x 2) (* y z))) y)
(/ (- (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 2))))) (+ (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3)))) (/ (pow x 2) (* y z)))) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) (sqrt z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y))) y)) (sqrt z))))
(* -1 (* y (- (* -1 (/ (+ x (* (/ (pow x 2) y) (sqrt (/ 1 z)))) y)) (sqrt z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (* y z)))) y))) y)) (sqrt z))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (sqrt z) (/ x y))))
(* -1 (* y (+ (sqrt z) (* -1 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) x) y)))))
(* -1 (* y (+ (sqrt z) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y z)) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) y)) x) y)))))
(+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (* -1 (/ x z))) y)))
(+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow z 2)))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (* -1 (/ x z))) y)))
(* -1 (/ (+ (* x (sqrt (/ 1 z))) (/ (pow x 2) (* y z))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 3) y) (sqrt (/ 1 (pow z 3))))) (/ (pow x 2) z)) y)) (* x (sqrt (/ 1 z)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) (* y (pow z 2))) (* -1 (* (pow x 3) (sqrt (/ 1 (pow z 3)))))) y)) (/ (pow x 2) z)) y)) (* x (sqrt (/ 1 z)))) 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))))
(/ (pow x 2) (- x (* y (sqrt z))))
(+ (* -1 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (/ (pow x 2) (- x (* y (sqrt z)))))
(* -1 (/ (* (pow y 2) z) (- x (* y (sqrt z)))))
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))))
(sqrt (/ 1 z))
(/ (* (pow y 2) z) (- x (* y (sqrt z))))
(/ y (- x (* y (sqrt z))))
(/ x (- x (* y (sqrt z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x 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)))
(- (+ x (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (* -1 (* y (sqrt z))))
(- (+ x (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (+ (* -1 (* y (sqrt z))) (/ (pow x 3) (* (pow y 2) z))))
(- (+ x (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (+ (* -1 (* y (sqrt z))) (* (/ (pow x 4) (pow y 3)) (sqrt (/ 1 (pow z 3))))))
(- (+ x (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* -1 (* y (sqrt z))))
(- (+ x (+ (* (/ (pow x 2) y) (sqrt (/ 1 z))) (/ (pow x 3) (* (pow y 2) z)))) (* -1 (* y (sqrt z))))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z)) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z)) z)) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt (pow z 3))) (/ (* (pow x 3) z) (pow y 2))) (pow z 2)))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z)) z)) (+ (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt (pow z 3))) (/ (* (pow x 3) z) (pow y 2))) (pow z 2))) (* 1/2 (/ (- (/ (* (pow x 3) (pow z 2)) (pow y 2)) (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (pow z 3))))))
(- (+ (* -1 (* y (sqrt z))) (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z))))) x)
(- (+ (* -1 (* y (sqrt z))) (* -1 (/ (pow x 3) (* (pow y 2) z)))) (+ x (* (/ (pow x 2) y) (sqrt (/ 1 z)))))
(/ (+ (* -1 (sqrt z)) (* -1 (/ x y))) z)
(/ (- (+ (* -1 (sqrt z)) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (/ x y)) z)
(/ (- (+ (* -1 (sqrt z)) (* -1 (/ (pow x 3) (* (pow y 3) z)))) (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (/ x y))) z)
(/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (pow x 2) (pow y 2)))) z)
(/ (- (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))))) (/ (pow x 2) (pow y 2))) z)
(/ (- (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (pow x 4) (* (pow y 4) z)))) (+ (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))) (/ (pow x 2) (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))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x 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 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(- (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z)))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(- (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (- (+ (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z)) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 4)))) (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(- (* -1 (/ x (pow (sqrt -1) 2))) (* y (sqrt z)))
(- (* -1 (/ (- (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 4))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(+ (* -1 (/ (+ (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* 1/2 (/ (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3))))) (* 1/2 (/ (+ (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))) (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) z))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(+ (* y (sqrt z)) (/ x (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(+ (* -1 (/ (+ (* -1 (/ (* x z) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 4)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z))) z)) (* y (sqrt z)))
(* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ x (* y (pow (sqrt -1) 2))))) z))
(* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt z)) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) z))
(* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 3) (pow (sqrt -1) 4))) (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z)) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) z))
(* (/ x y) (sqrt (/ 1 z)))
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))))) z))
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (- (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z)) (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z))) z))
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4))) (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z)) (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z))) 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))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) 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))
(- x (* -1 (* y (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(- (* x (+ 1 (* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z))))))) (* -1 (* y (sqrt z))))
(fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) x (*.f64 (sqrt.f64 z) y))
(- (* x (+ 1 (* (/ x y) (sqrt (/ 1 z))))) (* -1 (* y (sqrt z))))
(fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 z) y x))
(- (* x (+ 1 (* x (+ (* (/ 1 y) (sqrt (/ 1 z))) (/ x (* (pow y 2) z)))))) (* -1 (* y (sqrt z))))
(fma.f64 (fma.f64 (+.f64 (/.f64 x (.f64 (.f64 y y) z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) x #s(literal 1 binary64)) x (*.f64 (sqrt.f64 z) y))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z)))))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1/2 binary64)) x (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
(* -1 (* y (sqrt z)))
(*.f64 (neg.f64 y) (sqrt.f64 z))
(+ (* -1 x) (* -1 (* y (sqrt z))))
(neg.f64 (fma.f64 (sqrt.f64 z) y x))
(+ (* -1 (* y (sqrt z))) (* x (- (* -1 (* (/ x y) (sqrt (/ 1 z)))) 1)))
(fma.f64 (fma.f64 (/.f64 x (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+ (* -1 (* y (sqrt z))) (* x (- (* x (- (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z))))) 1)))
(fma.f64 (neg.f64 (sqrt.f64 z)) y (.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 x (.f64 (*.f64 y y) z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) #s(literal -1 binary64)) x))
(* -1 (sqrt (/ 1 z)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))
(-.f64 (/.f64 (neg.f64 x) (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+ (* -1 (sqrt (/ 1 z))) (* x (- (* -1 (* (/ x (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ 1 (* y z)))))
(fma.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))) x (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(+ (* -1 (sqrt (/ 1 z))) (* x (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 2)))) (* (/ 1 (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (/ 1 (* y z)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) z) z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 y y))) x (/.f64 #s(literal -1 binary64) (.f64 y z))) x (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(* -1 (* (/ x y) (sqrt (/ 1 z))))
(*.f64 (/.f64 x (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* -1 (/ x (* (pow y 2) z)))))
(.f64 (neg.f64 x) (+.f64 (/.f64 x (.f64 (*.f64 y y) z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* -1 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (/ 1 (* (pow y 2) z))))))
(.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) z))) x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y))) x)
(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3)))))) (/ 1 (* (pow y 2) z))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (.f64 (neg.f64 z) z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) z))) x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y))) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 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)
(* -1/2 (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 z x) (/.f64 (.f64 y y) x) #s(literal -1 binary64)) (*.f64 x x))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2)))) (* -1 (* (/ y x) (sqrt z)))))
(.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) x)
(* -1 (/ (* (pow y 2) z) x))
(.f64 (.f64 (neg.f64 y) y) (/.f64 z x))
(/ (- (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* (pow y 2) z)) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (.f64 y y) z)) (neg.f64 x))
(/ (- (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 2)))) (* (pow y 2) z)) x)
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (.f64 z z) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (.f64 (.f64 y y) z)) x)
(/ (- (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (+ (* -1 (* (/ (pow y 5) (pow x 3)) (sqrt (pow z 5)))) (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 2))))) (* (pow y 2) z)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 z x) (/.f64 z x)) (.f64 (sqrt.f64 (pow.f64 z #s(literal 5 binary64))) (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (.f64 y y) z)))) x)
(* x (+ 1/2 (+ (* -1/2 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2))) (* 1/2 (* (/ y x) (sqrt z))))))
(.f64 (fma.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (.f64 x x))) x)
(/ (* (pow y 2) z) x)
(/.f64 (.f64 (.f64 y y) z) x)
(/ (+ (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (.f64 y y) z)) x)
(/ (- (+ (* (pow y 2) z) (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3))))) x)
(/.f64 (fma.f64 (/.f64 (.f64 z z) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (*.f64 y y) z))) x)
(/ (- (+ (* (/ (pow y 5) (pow x 3)) (sqrt (pow z 5))) (* (pow y 2) z)) (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 2))))) x)
(/.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 5 binary64))) (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 y y) z)) (neg.f64 (fma.f64 (/.f64 (.f64 z z) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))))) x)
(/ y x)
(/.f64 y x)
(/ (+ y (* (/ (pow y 2) x) (sqrt z))) x)
(/.f64 (fma.f64 (/.f64 (*.f64 y y) x) (sqrt.f64 z) y) x)
(/ (- (+ y (/ (* (pow y 3) z) (pow x 2))) (* -1 (* (/ (pow y 2) x) (sqrt z)))) x)
(/.f64 (fma.f64 (/.f64 z x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (fma.f64 (/.f64 (*.f64 y y) x) (sqrt.f64 z) y)) x)
(/ (- (+ y (* (/ (pow y 4) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1 (* (/ (pow y 2) x) (sqrt z))) (* -1 (/ (* (pow y 3) z) (pow x 2))))) x)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) y) (neg.f64 (fma.f64 (/.f64 z x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (/.f64 (.f64 y y) x) (sqrt.f64 z))))) x)
1
#s(literal 1 binary64)
(+ 1 (* (/ y x) (sqrt z)))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* -1 (* (/ y x) (sqrt z))))
(fma.f64 (/.f64 z x) (/.f64 (*.f64 y y) x) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(- (+ 1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1 (* (/ y x) (sqrt z))) (* -1 (/ (* (pow y 2) z) (pow x 2)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (/.f64 z x) (/.f64 (.f64 y y) x) (/.f64 (.f64 (sqrt.f64 z) y) x))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(.f64 (neg.f64 x) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z) #s(literal -1 binary64)))
(* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* -1 (* (pow y 2) z))) x))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (.f64 y y) z)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 4) (pow z 2)) x)) (* (pow y 3) (sqrt (pow z 3)))) x)) (* -1 (* (pow y 2) z))) x))
(/.f64 (fma.f64 (.f64 y z) y (/.f64 (neg.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 z z) x)))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 5) x) (sqrt (pow z 5))) (* -1 (* (pow y 4) (pow z 2)))) x)) (* (pow y 3) (sqrt (pow z 3)))) x)) (* -1 (* (pow y 2) z))) x))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 5 binary64))) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) z) z)) (neg.f64 x)) (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) x) #s(literal -1 binary64) (.f64 (*.f64 y y) z)) (neg.f64 x))
(* -1 (/ (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -1 (* (pow y 2) z))) x))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (.f64 y y) z)) x)
(* -1 (/ (+ (* -1 (* (pow y 2) z)) (* -1 (/ (+ (* (pow y 3) (sqrt (pow z 3))) (/ (* (pow y 4) (pow z 2)) x)) x))) x))
(/.f64 (fma.f64 (.f64 y z) y (/.f64 (neg.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 z z) x)))) (neg.f64 x))) x)
(* -1 (/ (+ (* -1 (* (pow y 2) z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (pow y 5) x) (sqrt (pow z 5)))) (* -1 (* (pow y 4) (pow z 2)))) x)) (* (pow y 3) (sqrt (pow z 3)))) x))) x))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) y (/.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) z) z (.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 5 binary64)))))) (neg.f64 x))) x))) x)
(* -1 (/ (+ (* -1 y) (* -1 (* (/ (pow y 2) x) (sqrt z)))) x))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y y) x) (sqrt.f64 z) y)) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* (pow y 2) (sqrt z)) (/ (* (pow y 3) z) x)) x))) x))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (fma.f64 (.f64 (sqrt.f64 z) y) y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x)) x))) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (pow y 4) x) (sqrt (pow z 3)))) (* -1 (* (pow y 3) z))) x)) (* (pow y 2) (sqrt z))) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (.f64 y y) (sqrt.f64 z) (/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) z (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))) (neg.f64 x))) (neg.f64 x)) y) (neg.f64 x))
(+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y (sqrt z))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 z x) y) y (.f64 (sqrt.f64 z) y))) x))
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(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (.f64 y y) z)) x) (*.f64 (sqrt.f64 z) y)) x) #s(literal 1 binary64))
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(.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (neg.f64 (sqrt.f64 z)) (.f64 x z)) z)) (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 z (.f64 (neg.f64 y) y)))) (*.f64 z z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z)) z)) (+ (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt (pow z 3))) (/ (* (pow x 3) z) (pow y 2))) (pow z 2))) (* 1/2 (/ (- (/ (* (pow x 3) (pow z 2)) (pow y 2)) (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (pow z 3))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (neg.f64 (sqrt.f64 z)) (.f64 x z)) z)) (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 z (.f64 (neg.f64 y) y)))) (.f64 z z)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) (pow.f64 z #s(literal 3 binary64))))))
(- (+ (* -1 (* y (sqrt z))) (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z))))) x)
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(- (+ (* -1 (* y (sqrt z))) (* -1 (/ (pow x 3) (* (pow y 2) z)))) (+ x (* (/ (pow x 2) y) (sqrt (/ 1 z)))))
(-.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 y y) z)))) (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
(/ (+ (* -1 (sqrt z)) (* -1 (/ x y))) z)
(/.f64 (neg.f64 (+.f64 (/.f64 x y) (sqrt.f64 z))) z)
(/ (- (+ (* -1 (sqrt z)) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (/ x y)) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))) (/.f64 x y)) z)
(/ (- (+ (* -1 (sqrt z)) (* -1 (/ (pow x 3) (* (pow y 3) z)))) (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (/ x y))) z)
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (neg.f64 z) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 z)) (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x y))) z)
(/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (pow x 2) (pow y 2)))) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) (sqrt.f64 z)))) z)
(/ (- (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))))) (/ (pow x 2) (pow y 2))) z)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) (sqrt.f64 z))))) z)
(/ (- (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (pow x 4) (* (pow y 4) z)))) (+ (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))) (/ (pow x 2) (pow y 2)))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) z)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 x y) (/.f64 x y)))) z)
(* -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 (neg.f64 z) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 x z) #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))))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 x) z)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(.f64 (.f64 (neg.f64 z) #s(literal -1/2 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(* (* 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)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x 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 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (neg.f64 (sqrt.f64 z)) (/.f64 (*.f64 x z) #s(literal -1 binary64))) 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))))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (.f64 x z) #s(literal 1 binary64)))) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (.f64 x z) #s(literal 1 binary64))))) (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 y #s(literal -1/2 binary64)) (sqrt.f64 z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (.f64 x z) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (.f64 x z) #s(literal 1 binary64)))) y) (sqrt.f64 z) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) y) (neg.f64 (sqrt.f64 z)) (/.f64 (.f64 x z) #s(literal -1 binary64))) (.f64 x x)) (.f64 (neg.f64 y) y)))) z)) (neg.f64 z)))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(.f64 (neg.f64 z) (fma.f64 (/.f64 (.f64 x x) z) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(.f64 (-.f64 (.f64 y y) (/.f64 (*.f64 x x) z)) z)
(- (* -1 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(-.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (neg.f64 (sqrt.f64 z)) (/.f64 (.f64 x z) #s(literal -1 binary64))) (neg.f64 z)) (*.f64 (sqrt.f64 z) y))
(- (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z)))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (neg.f64 y) y))) (fma.f64 (/.f64 (.f64 x x) y) (neg.f64 (sqrt.f64 z)) (/.f64 (.f64 x z) #s(literal -1 binary64)))) (neg.f64 z)) (*.f64 (sqrt.f64 z) y))
(- (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (- (+ (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z)) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 4)))) (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 z (.f64 y y)) (/.f64 (.f64 (sqrt.f64 z) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 z (.f64 (neg.f64 y) y)) (.f64 (/.f64 (.f64 x x) (neg.f64 y)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))) z)) (/.f64 (.f64 x z) #s(literal -1 binary64))) (neg.f64 z)) (.f64 (sqrt.f64 z) y))
(- (* -1 (/ x (pow (sqrt -1) 2))) (* y (sqrt z)))
(-.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) y))
(- (* -1 (/ (- (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(-.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (neg.f64 (sqrt.f64 z)) (/.f64 (.f64 x z) #s(literal -1 binary64))) (neg.f64 z)) (*.f64 (sqrt.f64 z) y))
(- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 4))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 z (.f64 y y)) (.f64 (/.f64 (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) (neg.f64 z)) #s(literal -1 binary64) (/.f64 (.f64 x z) #s(literal 1 binary64))) z) (*.f64 (sqrt.f64 z) y))
(+ (* -1 (/ (+ (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* 1/2 (/ (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z))) z)) (* -1/2 (* y (sqrt z))))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (neg.f64 x) x) y) (sqrt.f64 z) (fma.f64 x (/.f64 z #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 z (.f64 (neg.f64 y) y)) (.f64 (/.f64 (.f64 x x) (neg.f64 y)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) z)))) z))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3))))) (* 1/2 (/ (+ (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))) (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) z))) 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 y #s(literal -1/2 binary64)) (sqrt.f64 z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (.f64 x z) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (.f64 (/.f64 (.f64 z z) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) z) #s(literal 1/2 binary64) (.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 z (.f64 (neg.f64 y) y)) (.f64 (/.f64 (*.f64 x x) (neg.f64 y)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (neg.f64 z))) (neg.f64 z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+ (* y (sqrt z)) (/ x (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 z) y (/.f64 x #s(literal -1 binary64)))
(+ (* -1 (/ (+ (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)) (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (sqrt.f64 z) (/.f64 (.f64 x z) #s(literal 1 binary64))) (neg.f64 z)))
(+ (* -1 (/ (+ (* -1 (/ (* x z) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 4)))) (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z))) z)) (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y (/.f64 (-.f64 (/.f64 (.f64 x z) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 x x) (neg.f64 y)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 z (.f64 (neg.f64 y) y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) z)) (neg.f64 z)))
(* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ x (* y (pow (sqrt -1) 2))))) z))
(/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64) (sqrt.f64 z)) z)
(* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt z)) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 y y)) (sqrt.f64 z) (*.f64 x (/.f64 z (neg.f64 y)))) (neg.f64 z)) (sqrt.f64 z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 3) (pow (sqrt -1) 4))) (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z)) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) z))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) z) #s(literal -1 binary64) (*.f64 x (/.f64 z (neg.f64 y)))) (neg.f64 z)) #s(literal -1 binary64) (sqrt.f64 z)) z)
(* (/ x y) (sqrt (/ 1 z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))))) z))
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) (/.f64 (.f64 (neg.f64 x) x) (.f64 y y)))) (neg.f64 z))
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (- (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z)) (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z))) z))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (sqrt.f64 z) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 z) (.f64 (.f64 x x) (/.f64 z (.f64 (neg.f64 y) y)))) z))) z)
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4))) (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z)) (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z))) z))
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) z) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) z) #s(literal -1 binary64) (.f64 (.f64 x x) (/.f64 z (.f64 (neg.f64 y) y)))) z))) (neg.f64 z))

rewrite272.0ms (4.8%)

Memory

19.6MiB live, 388.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	208
0	65	151
1	227	149
2	1544	146
0	8822	146

Stop Event

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

Counts

21 → 1 898

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (-.f64 (.f64 x x) (.f64 (.f64 y z) y)))) (/.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (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 1/2 binary64) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (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 1/2 binary64) (fma.f64 (.f64 y z) y (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (-.f64 (.f64 x x) (.f64 (*.f64 y z) y)))) (fma.f64 y (sqrt.f64 z) x))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)))) (/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y z) y)) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (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 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (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 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y z) y (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (.f64 (.f64 y z) y))) (/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y z) y)) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (pow.f64 (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x) (*.f64 x x)) #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)) (-.f64 (.f64 x x) (.f64 (.f64 y z) y)))) (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 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 (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (.f64 x x)) #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 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 z) y (.f64 x (-.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 (neg.f64 x) x (.f64 (.f64 y z) y)))) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (-.f64 (.f64 x x) (.f64 (.f64 y z) y)))) (/.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (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 1/2 binary64) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (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 1/2 binary64) (fma.f64 (.f64 y z) y (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (-.f64 (.f64 x x) (.f64 (.f64 y z) y)))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (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 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (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 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (.f64 y z) y (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y)))) (fma.f64 y (sqrt.f64 z) x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (-.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (.f64 y z) y (.f64 x (fma.f64 y (sqrt.f64 z) x))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y)) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) (pow.f64 (fma.f64 (.f64 y z) y (.f64 x (fma.f64 y (sqrt.f64 z) x))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y z) y (.f64 x (fma.f64 y (sqrt.f64 z) x)))) (fma.f64 y (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 y z) y (.f64 x (fma.f64 y (sqrt.f64 z) x))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y z) y (.f64 x (fma.f64 y (sqrt.f64 z) x)))) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 (.f64 y z) y (.f64 x (fma.f64 y (sqrt.f64 z) x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (-.f64 (.f64 x x) (.f64 (*.f64 y z) y))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal -1 binary64))))
(.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y))) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x))) (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 (*.f64 y z) y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)) (.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y))) (pow.f64 (neg.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 1/2 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 y (-.f64 x (.f64 y (sqrt.f64 z)))) z) y) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 y (-.f64 x (.f64 y (sqrt.f64 z)))) z) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 y (-.f64 x (.f64 y (sqrt.f64 z)))) z) y)) (.f64 (.f64 (/.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))) x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 y (sqrt.f64 z) x) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) y)) (-.f64 x (.f64 y (sqrt.f64 z))))) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) y)) (-.f64 x (.f64 y (sqrt.f64 z))))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 z) y) (/.f64 y (-.f64 x (.f64 y (sqrt.f64 z))))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))) x) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 z) y) (/.f64 y (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 (fma.f64 (.f64 y z) y (.f64 x x)) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))) (pow.f64 (.f64 (/.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))) x) #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) y) (.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 (*.f64 y z) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 (*.f64 y z) y)))
(.f64 (/.f64 y (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (-.f64 (.f64 x x) (.f64 (.f64 y z) y)))) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(.f64 (/.f64 y (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)))) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 y (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (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 (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 y (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (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 z) y (.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal -1 binary64)))
(.f64 (/.f64 y (-.f64 (.f64 x x) (.f64 (.f64 y z) y))) (fma.f64 y (sqrt.f64 z) x))
(.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x) (.f64 x x)))
(.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 z))) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 z))) #s(literal -1 binary64)) y)
(.f64 (neg.f64 y) (pow.f64 (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x (.f64 y (sqrt.f64 z)))))
(.f64 y (pow.f64 (-.f64 x (.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(/.f64 (.f64 y #s(literal 1 binary64)) (-.f64 x (.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (neg.f64 y) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) y))
(/.f64 y (-.f64 x (*.f64 y (sqrt.f64 z))))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 (neg.f64 y) (-.f64 x (.f64 y (sqrt.f64 z)))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) y)) #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (-.f64 (.f64 x x) (.f64 (.f64 y z) y)))) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)))) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (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 (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y z) y)) (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 z) y (.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))))
(.f64 (/.f64 x (-.f64 (.f64 x x) (.f64 (.f64 y z) y))) (fma.f64 y (sqrt.f64 z) x))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x) (.f64 x x)))
(.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 z))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 z))) #s(literal -1 binary64)) x)
(.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))))
(.f64 (neg.f64 x) (pow.f64 (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))
(.f64 x (pow.f64 (-.f64 x (.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) x) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) x) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 x (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))) (.f64 (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z)))) x)) (.f64 (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z)))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (.f64 x #s(literal 1 binary64)) (-.f64 x (.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) x)))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) x))
(/.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 x (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) x)) #s(literal -1 binary64)))

eval148.0ms (2.6%)

Memory: -15.8MiB live, 293.5MiB allocated
Compiler: Compiled 41 623 to 4 471 computations (89.3% saved)

prune21.0ms (0.4%)

Memory

21.5MiB live, 60.3MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 074	4	1 078
Fresh	4	1	5
Picked	1	4	5
Done	0	0	0
Total	1 079	9	1 088

Accuracy

100.0%

Counts

1 088 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(/.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))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
▶	93.5%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	88.4%	(.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))
▶	52.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
▶	91.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
✓	91.5%	#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)))
✓	49.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 207 to 173 computations (16.4% saved)

simplify196.0ms (3.5%)

Memory

-18.9MiB live, 107.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	208
0	57	195
1	94	191
2	168	191
3	275	191
4	432	183
5	557	183
6	1192	183
7	2094	183
8	2199	183
9	2226	183
10	2232	183
11	2232	183
12	3626	183
13	3930	183
14	3984	183
15	4014	183
16	4046	183
17	4080	183
18	4116	183
19	4165	183
20	4205	183
21	4247	183
22	4291	183
23	5425	183
24	7034	183
25	7785	183
0	8044	183

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1.4%)

Memory

-10.9MiB live, 100.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
accuracy	1.7191120281395396	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	5.732916482678307	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	5.455653919162905	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.2265625	(/.f64 y (sqrt.f64 z))
accuracy	4.09276912371805	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
accuracy	0.0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.19921875	(*.f64 (sqrt.f64 z) y)
accuracy	30.04125275984068	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.1171875	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
accuracy	0.2935017625106098	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))

Samples

57.0ms

256×

valid

Compiler

Compiled 398 to 66 computations (83.4% saved)

Precisions

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

ival-mult: 19.0ms (47.5% of total)

ival-div: 9.0ms (22.5% of total)

ival-add: 9.0ms (22.5% of total)

ival-sqrt: 2.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Memory

34.4MiB live, 34.4MiB allocated

Counts

20 → 65

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (/ 1 (sqrt z)))
3.0ms	y	@	-inf	((/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (/ 1 (sqrt z)))
2.0ms	z	@	0	((/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (/ 1 (sqrt z)))
2.0ms	y	@	inf	((/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (/ 1 (sqrt z)))
2.0ms	z	@	inf	((/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (/ 1 (sqrt z)))

simplify134.0ms (2.4%)

Memory

-12.2MiB live, 139.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	1065
1	1028	993
2	3432	940
0	8533	894

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

rewrite167.0ms (3%)

Memory

26.2MiB live, 182.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	175
0	57	156
1	187	153
2	991	151
0	9010	151

Stop Event

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

Counts

20 → 1 178

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x (.f64 y (-.f64 (.f64 y z) (*.f64 x (sqrt.f64 z))))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 (*.f64 y z) y)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 (.f64 (neg.f64 y) z) y))) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (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 x x (.f64 y (-.f64 (.f64 y z) (*.f64 x (sqrt.f64 z))))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (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 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 (*.f64 y z) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) x))))))
(*.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 y (sqrt.f64 z) x)))
(.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 y) z) y)) (.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (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 (pow.f64 (fma.f64 x x (.f64 y (-.f64 (.f64 y z) (*.f64 x (sqrt.f64 z))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (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 (pow.f64 (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 (*.f64 y z) y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(/.f64 (.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x x (.f64 y (-.f64 (.f64 y z) (*.f64 x (sqrt.f64 z))))))
(/.f64 (.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 (*.f64 y z) y)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 (.f64 (neg.f64 y) z) y))) #s(literal 1 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
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(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (sqrt.f64 z)) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (sqrt.f64 z)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (sqrt.f64 z)) x)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (sqrt.f64 z)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (sqrt.f64 z)) x)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) z) (sqrt.f64 z)))) (+.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (sqrt.f64 z)) x)))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) (neg.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (sqrt.f64 z)) x))))))
(fma.f64 (*.f64 (/.f64 y x) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (.f64 y (sqrt.f64 z)) (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (sqrt.f64 z)) x))) (/.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 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 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 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.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 (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))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))

eval130.0ms (2.3%)

Memory: -21.9MiB live, 178.8MiB allocated
Compiler: Compiled 16 636 to 2 872 computations (82.7% saved)

prune19.0ms (0.3%)

Memory

10.1MiB live, 47.9MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	743	6	749
Fresh	0	0	0
Picked	3	2	5
Done	2	2	4
Total	748	10	758

Accuracy

100.0%

Counts

758 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	79.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 x y) (/.f64 (sqrt.f64 z) x) x)) #s(literal 1/2 binary64))
▶	94.6%	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x) x)) #s(literal 1/2 binary64))
▶	45.7%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	88.4%	(.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))
▶	52.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y)) #s(literal 1/2 binary64))
▶	48.6%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
✓	52.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
▶	44.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)) #s(literal 1/2 binary64))
✓	49.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 266 to 205 computations (22.9% saved)

simplify162.0ms (2.9%)

Memory

-13.0MiB live, 183.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
cost-diff	0	(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)) #s(literal 1/2 binary64))
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 z (sqrt.f64 z))
cost-diff	0	(*.f64 (/.f64 z (sqrt.f64 z)) y)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 y (sqrt.f64 z))
cost-diff	0	(*.f64 (/.f64 y (sqrt.f64 z)) z)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x) x)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (fma.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x) x))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x) x)) #s(literal 1/2 binary64))
cost-diff	1024	(*.f64 (/.f64 (sqrt.f64 z) x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	285
0	55	281
1	80	281
2	99	275
3	120	259
4	135	259
5	282	259
6	1098	259
7	2317	259
8	2478	259
9	2486	259
10	2493	259
11	2497	259
12	2497	259
13	2497	259
14	4469	259
15	6097	259
16	6221	259
17	6452	259
18	7260	259
0	8620	255

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (1.2%)

Memory

11.5MiB live, 136.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(*.f64 (sqrt.f64 z) y)
accuracy	3.8105104561013046	(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	5.732916482678307	(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)
accuracy	29.918065382617268	#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	0.0	(*.f64 y z)
accuracy	0.0	(sqrt.f64 z)
accuracy	8.317358572126585	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	30.04125275984068	#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.19921875	(*.f64 (/.f64 z (sqrt.f64 z)) y)
accuracy	0.47265625	(/.f64 z (sqrt.f64 z))
accuracy	30.04125275984068	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.2265625	(/.f64 y (sqrt.f64 z))
accuracy	7.99813411686674	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	30.04125275984068	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))
accuracy	0.0	#s(approx (+ (* (sqrt z) y) x) (fma.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x) x))
accuracy	0.1171875	(fma.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x) x)
accuracy	0.16796875	(/.f64 (sqrt.f64 z) x)
accuracy	8.47674566138216	(*.f64 (/.f64 (sqrt.f64 z) x) x)

Samples

49.0ms

256×

valid

Compiler

Compiled 461 to 61 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 16.0ms (50.9% of total)

ival-div: 9.0ms (28.6% of total)

ival-add: 3.0ms (9.5% of total)

ival-sqrt: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.4%)

Memory

-4.1MiB live, 34.6MiB allocated

Counts

24 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* (/ (sqrt z) x) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* y (* (/ (sqrt z) x) x)) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ z (sqrt z)) y) (/ z (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ (sqrt z) x) (sqrt z) (/ (* (sqrt z) y) x) (* (sqrt z) y))
4.0ms	z	@	-inf	((* (/ (sqrt z) x) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* y (* (/ (sqrt z) x) x)) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ z (sqrt z)) y) (/ z (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ (sqrt z) x) (sqrt z) (/ (* (sqrt z) y) x) (* (sqrt z) y))
2.0ms	z	@	0	((* (/ (sqrt z) x) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* y (* (/ (sqrt z) x) x)) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ z (sqrt z)) y) (/ z (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ (sqrt z) x) (sqrt z) (/ (* (sqrt z) y) x) (* (sqrt z) y))
2.0ms	y	@	inf	((* (/ (sqrt z) x) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* y (* (/ (sqrt z) x) x)) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ z (sqrt z)) y) (/ z (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ (sqrt z) x) (sqrt z) (/ (* (sqrt z) y) x) (* (sqrt z) y))
2.0ms	z	@	inf	((* (/ (sqrt z) x) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* y (* (/ (sqrt z) x) x)) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ z (sqrt z)) y) (/ z (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ (sqrt z) x) (sqrt z) (/ (* (sqrt z) y) x) (* (sqrt z) y))

simplify110.0ms (1.9%)

Memory

12.7MiB live, 129.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	252
1	329	244
2	1037	236
3	3332	236
4	6404	236
0	8131	215

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

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

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

rewrite354.0ms (6.3%)

Memory

-134.8MiB live, 164.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	260
0	55	256
1	148	256
2	768	214
0	9155	210

Stop Event

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

Counts

24 → 830

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 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 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 z)) x))
(*.f64 (/.f64 z (pow.f64 z #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))))
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eval79.0ms (1.4%)

Memory: 9.7MiB live, 85.4MiB allocated
Compiler: Compiled 9 564 to 1 829 computations (80.9% saved)

prune18.0ms (0.3%)

Memory

-10.2MiB live, 31.8MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	428	3	431
Fresh	1	0	1
Picked	2	3	5
Done	1	3	4
Total	432	9	441

Accuracy

100.0%

Counts

441 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	45.7%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
	40.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (/.f64 (sqrt.f64 z) x) (.f64 y x))) #s(literal 1/2 binary64))
✓	52.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y)) #s(literal 1/2 binary64))
✓	48.6%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
	42.2%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (.f64 y (/.f64 (sqrt.f64 z) x)) x)) #s(literal 1/2 binary64))
✓	52.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
	41.4%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) x)) #s(literal 1/2 binary64))
✓	49.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 536 to 229 computations (57.3% saved)

regimes49.0ms (0.9%)

Memory

-2.1MiB live, 74.9MiB allocated

Counts

24 → 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))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y)) #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 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #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 #s(approx (+ ( (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (.f64 y (/.f64 (sqrt.f64 z) x)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (/.f64 (sqrt.f64 z) x) (.f64 y x))) #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)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 y (*.f64 (/.f64 (sqrt.f64 z) x) x) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (fma.f64 (*.f64 x y) (/.f64 (sqrt.f64 z) x) 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 (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 #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)))))))
(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)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))

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

Calls

7 calls:

8.0ms	y
7.0ms	(*.f64 y (sqrt.f64 z))
7.0ms	(sqrt.f64 z)
6.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
6.0ms	x

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)

regimes22.0ms (0.4%)

Memory

-0.3MiB live, 37.9MiB allocated

Counts

8 → 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))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y)) #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 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))

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

Calls

7 calls:

5.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
3.0ms	(sqrt.f64 z)
3.0ms	z
3.0ms	x
3.0ms	(+.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)

regimes31.0ms (0.5%)

Memory

-21.7MiB live, 20.4MiB 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:

20.0ms	x
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	(sqrt.f64 z)
2.0ms	z

Results

Accuracy	Segments	Branch
77.8%	3	`x`
76.8%	3	`y`
63.1%	2	`z`
69.8%	7	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
69.8%	7	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
78.5%	3	`(*.f64 y (sqrt.f64 z))`
63.1%	2	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes8.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB 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:

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

Results

Accuracy	Segments	Branch
49.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
49.6%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
49.6%	1	`z`
49.6%	1	`(sqrt.f64 z)`
49.6%	1	`y`
49.6%	1	`x`
49.6%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1397970953822726e-16	1.600518450588081e-15
0.0ms	-1771066636329.983	-392644497727.9166

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify10.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	71
1	45	71
2	55	71
3	58	71

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1000000000000 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 2028240960365167/10141204801825835211973625643008 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
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1000000000000 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 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
(if (or (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1000000000000 binary64)) (not (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)))) #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) x))

soundness368.0ms (6.5%)

Memory

-14.1MiB live, 177.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	158
1	251	158
2	805	158
3	2310	150
4	5209	150
5	7705	150
0	8081	135
0	10	21
0	16	21
1	41	21
2	234	21
3	2021	21
0	8198	19

Stop Event

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

Compiler

Compiled 125 to 64 computations (48.8% saved)

preprocess29.0ms (0.5%)

Memory: 23.0MiB live, 58.4MiB allocated
Compiler: Compiled 174 to 84 computations (51.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze47.0ms (0.8%)

sample1.4s (24.2%)

explain130.0ms (2.3%)

preprocess76.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize23.0ms (0.4%)

series18.0ms (0.3%)

simplify126.0ms (2.2%)

rewrite241.0ms (4.3%)

eval34.0ms (0.6%)

prune10.0ms (0.2%)

simplify332.0ms (5.9%)

localize457.0ms (8.1%)

series86.0ms (1.5%)

simplify167.0ms (3%)

rewrite272.0ms (4.8%)

eval148.0ms (2.6%)

prune21.0ms (0.4%)

simplify196.0ms (3.5%)

localize81.0ms (1.4%)

series22.0ms (0.4%)

simplify134.0ms (2.4%)

rewrite167.0ms (3%)

eval130.0ms (2.3%)

prune19.0ms (0.3%)

simplify162.0ms (2.9%)

localize68.0ms (1.2%)

series20.0ms (0.4%)

simplify110.0ms (1.9%)

rewrite354.0ms (6.3%)

eval79.0ms (1.4%)

prune18.0ms (0.3%)

regimes49.0ms (0.9%)

regimes22.0ms (0.4%)

regimes31.0ms (0.5%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

simplify10.0ms (0.2%)

soundness368.0ms (6.5%)

preprocess29.0ms (0.5%)

end0.0ms (0%)

Profiling