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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze136.0ms (2.3%)

Memory

-34.5MiB live, 48.0MiB 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)

sample1.3s (23%)

Memory

23.5MiB live, 1 300.7MiB allocated

Samples

560.0ms	8 256×	0	valid
317.0ms	2 088×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 578.0ms

ival-div: 283.0ms (49% of total)

ival-mult: 151.0ms (26.1% of total)

ival-sqrt: 71.0ms (12.3% of total)

ival-add: 52.0ms (9% of total)

exact: 10.0ms (1.7% of total)

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

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

Bogosity

explain173.0ms (3%)

Memory

-5.8MiB live, 106.9MiB 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

57.0ms

512×

valid

Compiler

Compiled 104 to 44 computations (57.7% saved)

Precisions

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

ival-div: 27.0ms (66.8% of total)

ival-mult: 6.0ms (14.8% of total)

ival-sqrt: 4.0ms (9.9% of total)

ival-add: 2.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess80.0ms (1.4%)

Memory

-7.6MiB live, 38.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB 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)

simplify4.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB 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

21.5MiB live, 21.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.22265625	(*.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 (36.3% of total)

ival-div: 2.0ms (24.2% of total)

ival-sqrt: 2.0ms (24.2% 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)

series8.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

5 → 23

Calls

Call 1

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

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

Calls

9 calls:

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

simplify214.0ms (3.7%)

Memory

-27.1MiB live, 130.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite215.0ms (3.7%)

Memory

6.6MiB live, 116.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 272

Calls

Call 1

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

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

eval29.0ms (0.5%)

Memory: 33.0MiB live, 33.0MiB allocated
Compiler: Compiled 8 492 to 946 computations (88.9% saved)

prune46.0ms (0.8%)

Memory

-13.2MiB live, 38.3MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	267	13	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	268	13	281

Accuracy

100.0%

Counts

281 → 13

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)))
	50.1%	(/.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))
▶	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))))
	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))
	89.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
▶	32.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (*.f64 z y) y))))))
	99.6%	(.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))))))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	93.7%	#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)))
	52.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	48.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 448 to 336 computations (25% saved)

simplify137.0ms (2.4%)

Memory

-10.3MiB live, 147.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (.f64 z y) y)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1472	(-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (*.f64 z y) y)))
cost-diff	7936	(/.f64 (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (.f64 z y) y))))
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	(-.f64 (*.f64 (sqrt.f64 z) y) x)
cost-diff	0	(/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))))
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	(*.f64 y (sqrt.f64 z))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
cost-diff	128	(+.f64 x (*.f64 y (sqrt.f64 z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	364
0	72	348
1	133	327
2	299	321
3	1032	305
4	4630	303
0	8318	299

Stop Event

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

Calls

Call 1

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

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

localize196.0ms (3.4%)

Memory

17.0MiB live, 169.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	3.0216286601094287	(.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (.f64 z y) y))
accuracy	3.7605519445596505	(.f64 (.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y)))
accuracy	13.328061010736393	(-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (*.f64 z y) y)))
accuracy	42.79459528242016	(/.f64 (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (.f64 z y) y))))
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))))
accuracy	0.22265625	(*.f64 (sqrt.f64 z) y)
accuracy	3.257791857293773	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
accuracy	31.668197409839784	(/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 z y)
accuracy	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	0.1484375	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	4.038068635916021	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	32.67307509272783	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.22265625	(*.f64 y (sqrt.f64 z))

Samples

163.0ms

256×

valid

Compiler

Compiled 736 to 83 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-sub: 80.0ms (56.4% of total)

ival-mult: 41.0ms (28.9% of total)

ival-div: 10.0ms (7.1% of total)

ival-sqrt: 4.0ms (2.8% of total)

ival-add: 3.0ms (2.1% of total)

ival-pow2: 2.0ms (1.4% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series74.0ms (1.3%)

Memory

-6.6MiB live, 108.3MiB allocated

Counts

22 → 189

Calls

Call 1

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

Outputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* 2 (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z)))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z))))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (+ (* -2 (/ x (* (pow y 4) (pow z 2)))) (* 2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z))))))
(+ (* -1 x) (* y (sqrt z)))
(* (/ 1 y) (sqrt (/ 1 z)))
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(* (pow y 3) (sqrt (pow z 3)))
(- (* -1 (* x (* (pow y 2) z))) (* -1 (* (pow y 3) (sqrt (pow z 3)))))
(- (* x (- (* -1 (* (* x y) (sqrt z))) (* (pow y 2) z))) (* -1 (* (pow y 3) (sqrt (pow z 3)))))
(- (* x (- (* x (+ x (* -1 (* y (sqrt z))))) (* (pow y 2) z))) (* -1 (* (pow y 3) (sqrt (pow z 3)))))
(+ (* x (+ 1 (* x (- (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* -2 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(+ (* x (+ 1 (* x (- (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* 2 (* (/ (* x (- (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* -2 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z)))))) y) (sqrt (/ 1 z))))) (+ (* -2 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(* -1 (* (* (pow x 2) y) (sqrt z)))
(* (pow x 2) (+ x (* -1 (* y (sqrt z)))))
(* -1 (* (pow y 3) (sqrt (pow z 3))))
(+ (* -1 (* (pow y 3) (sqrt (pow z 3)))) (* x (* (pow y 2) z)))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(/ 2 x)
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x)
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (* 2 (/ (* (pow y 2) z) (pow x 2))))) x)
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (+ (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* 2 (/ (* (pow y 2) z) (pow x 2)))))) x)
(* -1 x)
(* x (- (* (/ y x) (sqrt z)) 1))
(/ 1 x)
(/ (- (+ 1 (* -2 (* (/ y x) (sqrt z)))) (* -1 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 1 (+ (* -2 (* (/ y x) (sqrt z))) (/ (* (pow y 2) z) (pow x 2)))) (+ (* -1 (* (/ y x) (sqrt z))) (+ (* -1 (* (/ (* y (- (* -2 (* y (sqrt z))) (* -1 (* y (sqrt z))))) (pow x 2)) (sqrt z))) (* -1 (/ (* (pow y 2) z) (pow x 2)))))) x)
(/ (- (+ 1 (+ (* -2 (* (/ y x) (sqrt z))) (+ (* -1 (/ (+ (* -1 (* (* y (- (* (pow y 2) z) (+ (* -1 (* (* y (- (* -2 (* y (sqrt z))) (* -1 (* y (sqrt z))))) (sqrt z))) (* -1 (* (pow y 2) z))))) (sqrt z))) (+ (* -1 (* (pow y 2) (* z (- (* -2 (* y (sqrt z))) (* -1 (* y (sqrt z))))))) (* (pow y 3) (sqrt (pow z 3))))) (pow x 3))) (/ (* (pow y 2) z) (pow x 2))))) (+ (* -1 (* (/ y x) (sqrt z))) (+ (* -1 (* (/ (* y (- (* -2 (* y (sqrt z))) (* -1 (* y (sqrt z))))) (pow x 2)) (sqrt z))) (* -1 (/ (* (pow y 2) z) (pow x 2)))))) x)
(pow x 3)
(* (pow x 3) (+ 1 (* -1 (* (/ y x) (sqrt z)))))
(* (pow x 3) (- (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2)))) (* (/ y x) (sqrt z))))
(* (pow x 3) (- (+ 1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2)))))
(* x (- (+ 1 (* -1 (* (/ y x) (sqrt z)))) (* -2 (* (/ y x) (sqrt z)))))
(* x (- (+ 1 (+ (* -1 (* (/ y x) (sqrt z))) (* -1 (/ (* (pow y 2) z) (pow x 2))))) (+ (* -2 (* (/ y x) (sqrt z))) (+ (* -2 (* (/ (* y (- (* -1 (* y (sqrt z))) (* -2 (* y (sqrt z))))) (pow x 2)) (sqrt z))) (/ (* (pow y 2) z) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (* (/ y x) (sqrt z))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))))) (+ (* -2 (* (/ y x) (sqrt z))) (+ (* -2 (* (/ (* y (- (* -1 (* y (sqrt z))) (* -2 (* y (sqrt z))))) (pow x 2)) (sqrt z))) (+ (* -2 (* (/ (* y (- (* -1 (* (pow y 2) z)) (+ (* -2 (* (* y (- (* -1 (* y (sqrt z))) (* -2 (* y (sqrt z))))) (sqrt z))) (* (pow y 2) z)))) (pow x 3)) (sqrt z))) (+ (/ (* (pow y 2) z) (pow x 2)) (/ (* (pow y 2) (* z (- (* -1 (* y (sqrt z))) (* -2 (* y (sqrt z)))))) (pow x 3))))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* x (* (pow y 2) z))
(* x (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* (pow y 2) z)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* 2 (/ (* (pow y 2) z) x))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* -1 (/ (+ (* -2 (* (pow y 2) z)) (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3))))) x))) x)) 2) x))
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z))))))
(* -1 (/ (- (* -1 (/ (- (* -2 (* y (sqrt z))) (* -1 (* y (sqrt z)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -2 (* y (sqrt z))) (* -1 (/ (- (* -1 (* (pow y 2) z)) (+ (* (* y (- (* -2 (* y (sqrt z))) (* -1 (* y (sqrt z))))) (sqrt z)) (* (pow y 2) z))) x))) (* -1 (* y (sqrt z)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -2 (* y (sqrt z))) (* -1 (/ (- (+ (* -1 (* (pow y 2) z)) (+ (* -1 (/ (* (pow y 2) (* z (- (* -2 (* y (sqrt z))) (* -1 (* y (sqrt z)))))) x)) (+ (* (/ (* y (- (* -1 (* (pow y 2) z)) (+ (* (* y (- (* -2 (* y (sqrt z))) (* -1 (* y (sqrt z))))) (sqrt z)) (* (pow y 2) z)))) x) (sqrt z)) (* (/ (pow y 3) x) (sqrt (pow z 3)))))) (+ (* (* y (- (* -2 (* y (sqrt z))) (* -1 (* y (sqrt z))))) (sqrt z)) (* (pow y 2) z))) x))) (* -1 (* y (sqrt z)))) x)) 1) x))
(* -1 (* (pow x 3) (- (* (/ y x) (sqrt z)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (* y (sqrt z))) (* -1 (/ (* (pow y 2) z) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (* y (sqrt z))) (* -1 (/ (- (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -1 (* (pow y 2) z))) x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (* y (sqrt z))) (* -2 (* y (sqrt z)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (* y (sqrt z))) (* -1 (/ (- (* (pow y 2) z) (+ (* -1 (* (pow y 2) z)) (* 2 (* (* y (- (* -1 (* y (sqrt z))) (* -2 (* y (sqrt z))))) (sqrt z))))) x))) (* -2 (* y (sqrt z)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (* y (sqrt z))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow y 3) (sqrt (pow z 3))) (+ (* 2 (* (* y (- (* (pow y 2) z) (+ (* -1 (* (pow y 2) z)) (* 2 (* (* y (- (* -1 (* y (sqrt z))) (* -2 (* y (sqrt z))))) (sqrt z)))))) (sqrt z))) (* (pow y 2) (* z (- (* -1 (* y (sqrt z))) (* -2 (* y (sqrt z)))))))) x)) (* (pow y 2) z)) (+ (* -1 (* (pow y 2) z)) (* 2 (* (* y (- (* -1 (* y (sqrt z))) (* -2 (* y (sqrt z))))) (sqrt z))))) x))) (* -2 (* y (sqrt z)))) x)) 1)))
(* -1 (* x (+ (* -1 (* (pow y 2) z)) (* (/ (pow y 3) x) (sqrt (pow z 3))))))
(* y z)
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x)))
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* 2 (/ (* y z) (pow x 3))))) (* 2 (/ 1 x)))
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* y (+ (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* 2 (/ z (pow x 3))))))) (* 2 (/ 1 x)))
(- (* y (sqrt z)) x)
(+ (* y (- (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (/ 1 x))
(+ (* y (- (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* y (- (/ z (pow x 3)) (+ (* -1 (* (/ (- (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* -1 (* (/ 1 (pow x 2)) (sqrt z)))) x) (sqrt z))) (* -1 (/ z (pow x 3))))))) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (/ 1 x))
(+ (* y (- (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* y (- (+ (* -1 (* y (+ (* -1 (* (/ (- (/ z (pow x 3)) (+ (* -1 (* (/ (- (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* -1 (* (/ 1 (pow x 2)) (sqrt z)))) x) (sqrt z))) (* -1 (/ z (pow x 3))))) x) (sqrt z))) (+ (* -1 (/ (* z (- (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (pow x 2))) (* (/ 1 (pow x 4)) (sqrt (pow z 3))))))) (/ z (pow x 3))) (+ (* -1 (* (/ (- (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* -1 (* (/ 1 (pow x 2)) (sqrt z)))) x) (sqrt z))) (* -1 (/ z (pow x 3))))))) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (/ 1 x))
(+ (* -1 (* (* (pow x 2) y) (sqrt z))) (pow x 3))
(+ (* y (+ (* -1 (* x (* y z))) (* -1 (* (pow x 2) (sqrt z))))) (pow x 3))
(+ (* y (+ (* -1 (* (pow x 2) (sqrt z))) (* y (- (* y (sqrt (pow z 3))) (* x z))))) (pow x 3))
(+ x (* y (- (* -1 (sqrt z)) (* -2 (sqrt z)))))
(+ x (* y (- (+ (* -1 (sqrt z)) (* y (- (* -1 (/ z x)) (+ (* -2 (* (/ (- (* -1 (sqrt z)) (* -2 (sqrt z))) x) (sqrt z))) (/ z x))))) (* -2 (sqrt z)))))
(+ x (* y (- (+ (* -1 (sqrt z)) (* y (- (+ (* -1 (/ z x)) (* y (- (* (/ 1 (pow x 2)) (sqrt (pow z 3))) (+ (* -2 (* (/ (- (* -1 (/ z x)) (+ (* -2 (* (/ (- (* -1 (sqrt z)) (* -2 (sqrt z))) x) (sqrt z))) (/ z x))) x) (sqrt z))) (/ (* z (- (* -1 (sqrt z)) (* -2 (sqrt z)))) (pow x 2)))))) (+ (* -2 (* (/ (- (* -1 (sqrt z)) (* -2 (sqrt z))) x) (sqrt z))) (/ z x))))) (* -2 (sqrt z)))))
(* (pow y 2) (+ (* -1 (* y (sqrt (pow z 3)))) (* x z)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y)
(/ (+ (* -2 (/ x (* y z))) (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))))) y)
(/ (+ (* -2 (/ x (* y z))) (+ (* -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)))))))) y)
(* y (+ (sqrt z) (* -1 (/ x y))))
(/ (- (+ (sqrt (/ 1 z)) (* -2 (/ x (* y z)))) (* -1 (/ x (* y z)))) y)
(/ (- (+ (sqrt (/ 1 z)) (+ (* -2 (/ x (* y z))) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (+ (* -1 (* (/ (* x (- (* -2 (/ x z)) (* -1 (/ x z)))) (pow y 2)) (sqrt (/ 1 z)))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x (* y z)))))) y)
(/ (- (+ (sqrt (/ 1 z)) (+ (* -2 (/ x (* y z))) (+ (* -1 (/ (+ (* -1 (* (* x (- (* (pow x 2) (sqrt (/ 1 (pow z 3)))) (+ (* -1 (* (* x (- (* -2 (/ x z)) (* -1 (/ x z)))) (sqrt (/ 1 z)))) (* -1 (* (pow x 2) (sqrt (/ 1 (pow z 3)))))))) (sqrt (/ 1 z)))) (+ (* -1 (/ (* (pow x 2) (- (* -2 (/ x z)) (* -1 (/ x z)))) z)) (/ (pow x 3) (pow z 2)))) (pow y 3))) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))))) (+ (* -1 (* (/ (* x (- (* -2 (/ x z)) (* -1 (/ x z)))) (pow y 2)) (sqrt (/ 1 z)))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x (* y z)))))) y)
(* (pow y 3) (- (* -1 (/ (* x z) y)) (* -1 (sqrt (pow z 3)))))
(* (pow y 3) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (+ (* -1 (sqrt (pow z 3))) (/ (* x z) y))))
(* (pow y 3) (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (pow x 3) (pow y 3))) (+ (* -1 (sqrt (pow z 3))) (/ (* x z) y))))
(* y (- (+ (sqrt z) (* -1 (/ x y))) (* -2 (/ x y))))
(* y (- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y)))) (+ (* -2 (* (/ (* x (- (* -1 x) (* -2 x))) (pow y 2)) (sqrt (/ 1 z)))) (+ (* -2 (/ x y)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))))))
(* y (- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (+ (* -1 (/ x y)) (/ (pow x 3) (* (pow y 3) z))))) (+ (* -2 (* (/ (* x (- (* -1 x) (* -2 x))) (pow y 2)) (sqrt (/ 1 z)))) (+ (* -2 (* (/ (* x (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (+ (* -2 (* (* x (- (* -1 x) (* -2 x))) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt (/ 1 z)))) (+ (* -2 (/ x y)) (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (* (pow y 3) z))))))))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ (* -1 (* (pow x 2) (sqrt z))) (/ (pow x 3) y)))
(* (pow y 3) (+ (* -1 (sqrt (pow z 3))) (/ (* x z) y)))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x 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 (/ x z)) (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))))) y))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -2 (* (pow x 2) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 3) (* y (pow z 2))))) y))) y))) y))
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -2 (/ x z)) (* -1 (/ x z))) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (+ (* -2 (/ x z)) (* -1 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 (pow z 3))))) (+ (* (* x (- (* -2 (/ x z)) (* -1 (/ x z)))) (sqrt (/ 1 z))) (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y))) (* -1 (/ x z))) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (+ (* -2 (/ x z)) (* -1 (/ (- (+ (* -1 (* (pow x 2) (sqrt (/ 1 (pow z 3))))) (+ (* -1 (/ (* (pow x 2) (- (* -2 (/ x z)) (* -1 (/ x z)))) (* y z))) (+ (* (/ (* x (- (* -1 (* (pow x 2) (sqrt (/ 1 (pow z 3))))) (+ (* (* x (- (* -2 (/ x z)) (* -1 (/ x z)))) (sqrt (/ 1 z))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))))) y) (sqrt (/ 1 z))) (/ (pow x 3) (* y (pow z 2)))))) (+ (* (* x (- (* -2 (/ x z)) (* -1 (/ x z)))) (sqrt (/ 1 z))) (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y))) (* -1 (/ x z))) y))) y))
(* -1 (* (pow y 3) (- (/ (* x z) y) (sqrt (pow z 3)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z)) y)) (sqrt (pow z 3)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) (sqrt z))) y)) (* x z)) y)) (sqrt (pow z 3)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 x) (* -2 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* 2 (* (* x (- (* -1 x) (* -2 x))) (sqrt (/ 1 z)))))) y))) (* -2 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (/ (pow x 3) z) (+ (* 2 (* (* x (- (* (pow x 2) (sqrt (/ 1 z))) (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* 2 (* (* x (- (* -1 x) (* -2 x))) (sqrt (/ 1 z))))))) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 x) (* -2 x))) z))) y)) (* (pow x 2) (sqrt (/ 1 z)))) (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* 2 (* (* x (- (* -1 x) (* -2 x))) (sqrt (/ 1 z)))))) y))) (* -2 x)) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) (sqrt z)))))
(* -1 (* (pow y 3) (+ (sqrt (pow z 3)) (* -1 (/ (* x 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))))
(* -2 (/ (- (* y (sqrt z)) x) (pow x 2)))
(+ (* -2 (/ (* (pow y 2) (* z (- (* y (sqrt z)) x))) (pow x 4))) (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))))
(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* -2 (/ (* (pow y 4) (* z (- (* y (sqrt z)) x))) (pow x 6))))))
(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* z (+ (* -2 (/ (* (pow y 4) (- (* y (sqrt z)) x)) (pow x 6))) (* -2 (/ (* (pow y 6) (* z (- (* y (sqrt z)) x))) (pow x 8))))))))
(/ (- x (* y (sqrt z))) (pow x 2))
(- (+ (/ 1 x) (/ (* (pow y 2) (* z (- x (* y (sqrt z))))) (pow x 4))) (* (/ y (pow x 2)) (sqrt z)))
(- (+ (* z (- (/ (* (pow y 4) (* z (- x (* y (sqrt z))))) (pow x 6)) (* -1 (/ (* (pow y 2) (- x (* y (sqrt z)))) (pow x 4))))) (/ 1 x)) (* (/ y (pow x 2)) (sqrt z)))
(- (+ (* z (- (* z (- (/ (* (pow y 6) (* z (- x (* y (sqrt z))))) (pow x 8)) (* -1 (/ (* (pow y 4) (- x (* y (sqrt z)))) (pow x 6))))) (* -1 (/ (* (pow y 2) (- x (* y (sqrt z)))) (pow x 4))))) (/ 1 x)) (* (/ y (pow x 2)) (sqrt z)))
(* (pow x 2) (- x (* y (sqrt z))))
(+ (* -1 (* (pow y 2) (* z (- x (* y (sqrt z)))))) (* (pow x 2) (- x (* y (sqrt z)))))
(/ (pow x 2) (- x (* y (sqrt z))))
(+ (* -1 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (/ (pow x 2) (- x (* y (sqrt z)))))
(sqrt (/ 1 z))
(* (pow y 2) (* z (- x (* y (sqrt z)))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ 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)))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z)))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (+ (* 2 (/ (* (pow x 4) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) (pow z 3)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z)))))
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))
(- (+ (* -2 (/ x (* (pow y 2) z))) (+ (* (/ 1 y) (sqrt (/ 1 z))) (/ x (* (pow y 2) z)))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 (pow z 3))))))
(- (+ (* -2 (/ x (* (pow y 2) z))) (+ (* (/ 1 y) (sqrt (/ 1 z))) (+ (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ x (* (pow y 2) z))))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 (pow z 3))))) (+ (* (/ (* (- (* -1 (* (* (pow x 2) y) (sqrt (/ 1 z)))) (* x (pow y 2))) (- (+ (* -2 (/ x (pow y 2))) (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ (pow x 3) (* (pow y 4) (pow z 2))))))
(- (+ (* -2 (/ x (* (pow y 2) z))) (+ (* -1 (/ (+ (* (/ (* (- (* -1 (* (* (pow x 2) y) (sqrt (/ 1 z)))) (* x (pow y 2))) (- (* (/ (pow x 2) (pow y 3)) (sqrt z)) (+ (* (/ (* (- (* -1 (* (* (pow x 2) y) (sqrt (/ 1 z)))) (* x (pow y 2))) (- (+ (* -2 (/ x (pow y 2))) (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt z)) (/ (pow x 3) (pow y 4))))) (pow y 3)) (sqrt z)) (* (/ (* (pow x 3) (- (+ (* -2 (/ x (pow y 2))) (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt z))) (pow z 3))) (+ (* (/ 1 y) (sqrt (/ 1 z))) (+ (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ x (* (pow y 2) z)))))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 (pow z 3))))) (+ (* (/ (* (- (* -1 (* (* (pow x 2) y) (sqrt (/ 1 z)))) (* x (pow y 2))) (- (+ (* -2 (/ x (pow y 2))) (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ (pow x 3) (* (pow y 4) (pow z 2))))))
(* (pow z 2) (- (* -1 (* (* (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (+ (* -1 (* (pow y 3) (sqrt (/ 1 z)))) (/ (* x (pow y 2)) z))))
(* (pow z 2) (- (+ (* -1 (* (* (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (/ (pow x 3) (pow z 2))) (+ (* -1 (* (pow y 3) (sqrt (/ 1 z)))) (/ (* x (pow y 2)) z))))
(- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* y (sqrt z))) (+ x (* -2 x)))
(- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* y (sqrt z)) (/ (pow x 3) (* (pow y 2) z)))) (+ x (+ (* -2 x) (+ (* -2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -2 (* x z)) (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* (/ (pow x 2) y) (sqrt (/ 1 z)))))))
(- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* -1 (/ (+ (* -2 (* (/ (* x (- (/ (* (pow x 3) z) (pow y 2)) (+ (* -2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -2 (* x z)) (* x z)))) y) (sqrt z))) (* (/ (pow x 2) y) (sqrt (pow z 3)))))) y) (sqrt z))) (/ (* (pow x 2) (* z (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -2 (* x z)) (* x z))))) (pow y 2))) (pow z 3))) (+ (* y (sqrt z)) (/ (pow x 3) (* (pow y 2) z))))) (+ x (+ (* -2 x) (+ (* -2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -2 (* x z)) (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* (/ (pow x 2) y) (sqrt (/ 1 z)))))))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* z (+ (* -1 (* (* (pow x 2) y) (sqrt (/ 1 z)))) (/ (pow x 3) z)))
(* (pow z 2) (+ (* -1 (* (pow y 3) (sqrt (/ 1 z)))) (/ (* x (pow y 2)) 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)))
(* 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))))
(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z))))
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -2 (/ (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))) z)))
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* 2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) z)))) z)))
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 2))) (* -2 (/ (* (pow x 4) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) z)))) z)) (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))))) z)))
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
(* -1 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z))))
(+ (* -1 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (- (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2)))) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))) z)))
(+ (* -1 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (- (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt z))) (+ (* -1 (* (/ (* (- (* -1 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 z)))) (* -1 (* x (pow y 2)))) (- (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2)))) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt z))) (/ (pow x 3) (pow y 4)))) z)) (* 2 (/ x (pow y 2))))) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))) z)))
(+ (* -1 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (- (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- (+ (* -1 (* (/ (* (- (* -1 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 z)))) (* -1 (* x (pow y 2)))) (- (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt z))) (+ (* -1 (* (/ (* (- (* -1 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 z)))) (* -1 (* x (pow y 2)))) (- (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2)))) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt z))) (/ (pow x 3) (pow y 4))))) (pow y 3)) (sqrt (/ 1 z)))) (+ (* -1 (* (/ (* (pow x 3) (- (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2)))) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt z))))) (+ (* -1 (* (/ (* (- (* -1 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 z)))) (* -1 (* x (pow y 2)))) (- (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2)))) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt z))) (/ (pow x 3) (pow y 4)))) z)) (* 2 (/ x (pow y 2))))) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))) z)))
(* -1 (* (* (pow y 3) (pow (sqrt -1) 2)) (sqrt (pow z 3))))
(* (pow z 2) (- (* -1 (/ (- (* -1 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 z)))) (* -1 (* x (pow y 2)))) z)) (* (* (pow y 3) (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
(* (pow z 2) (- (* -1 (/ (- (+ (* -1 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) z))) (* -1 (* x (pow y 2)))) z)) (* (* (pow y 3) (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
(* -1 (* y (sqrt z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -2 (/ (* x z) (pow (sqrt -1) 2))) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (- (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* -2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -2 (/ (* x z) (pow (sqrt -1) 2))) (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))))) z))) (+ (* -2 (/ (* x z) (pow (sqrt -1) 2))) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (- (+ (* -2 (* (/ (* x (- (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* -2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -2 (/ (* x z) (pow (sqrt -1) 2))) (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3))))))) y) (sqrt (/ 1 z)))) (+ (* -1 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -2 (/ (* x z) (pow (sqrt -1) 2))) (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2)))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))))) (+ (* -2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -2 (/ (* x z) (pow (sqrt -1) 2))) (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))))) z))) (+ (* -2 (/ (* x z) (pow (sqrt -1) 2))) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z))
(* -1 (* z (+ (* -1 (* (* (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) z)))))
(* (* (pow y 3) (pow (sqrt -1) 2)) (sqrt (pow z 3)))
(* (pow z 2) (+ (* (* (pow y 3) (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ (* x (pow y 2)) z)))

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	z	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (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) (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (- (* (sqrt z) y) x) (* (sqrt z) y) (/ (pow (- x (* (sqrt z) y)) 2) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y)))) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y))) (/ 1 2) (/ 1 (/ (pow (- x (* (sqrt z) y)) 2) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y))))) (sqrt (/ 1 z)) (+ (* (* z y) y) (* (neg x) x)) (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y)))
8.0ms	z	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (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) (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (- (* (sqrt z) y) x) (* (sqrt z) y) (/ (pow (- x (* (sqrt z) y)) 2) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y)))) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y))) (/ 1 2) (/ 1 (/ (pow (- x (* (sqrt z) y)) 2) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y))))) (sqrt (/ 1 z)) (+ (* (* z y) y) (* (neg x) x)) (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y)))
8.0ms	x	@	0	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (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) (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (- (* (sqrt z) y) x) (* (sqrt z) y) (/ (pow (- x (* (sqrt z) y)) 2) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y)))) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y))) (/ 1 2) (/ 1 (/ (pow (- x (* (sqrt z) y)) 2) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y))))) (sqrt (/ 1 z)) (+ (* (* z y) y) (* (neg x) x)) (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y)))
8.0ms	y	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (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) (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (- (* (sqrt z) y) x) (* (sqrt z) y) (/ (pow (- x (* (sqrt z) y)) 2) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y)))) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y))) (/ 1 2) (/ 1 (/ (pow (- x (* (sqrt z) y)) 2) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y))))) (sqrt (/ 1 z)) (+ (* (* z y) y) (* (neg x) x)) (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y)))
7.0ms	y	@	0	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (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) (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (- (* (sqrt z) y) x) (* (sqrt z) y) (/ (pow (- x (* (sqrt z) y)) 2) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y)))) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y))) (/ 1 2) (/ 1 (/ (pow (- x (* (sqrt z) y)) 2) (- (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y))))) (sqrt (/ 1 z)) (+ (* (* z y) y) (* (neg x) x)) (* (* x x) (- x (* (sqrt z) y))) (* (- x (* (sqrt z) y)) (* (* z y) y)))

simplify219.0ms (3.8%)

Memory

4.8MiB live, 246.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1138	6565
1	3987	5945
0	8323	5728

Stop Event

1×	iter limit
1×	node limit

Counts

189 → 188

Calls

Call 1

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

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

rewrite314.0ms (5.4%)

Memory

-2.1MiB live, 276.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	251
0	68	205
1	239	189
2	1581	162
0	8883	151

Stop Event

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

Counts

22 → 1 570

Calls

Call 1

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

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

eval605.0ms (10.5%)

Memory: -7.9MiB live, 257.1MiB allocated
Compiler: Compiled 53 740 to 5 545 computations (89.7% saved)

prune52.0ms (0.9%)

Memory

-7.7MiB live, 90.8MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 227	5	1 232
Fresh	7	1	8
Picked	2	3	5
Done	0	0	0
Total	1 236	9	1 245

Accuracy

100.0%

Counts

1 245 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64))))
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	94.1%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
▶	99.7%	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 z (sqrt.f64 z)) x))
▶	93.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 z y) (sqrt.f64 z))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	52.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	93.7%	#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)))
✓	48.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 200 to 169 computations (15.5% saved)

simplify6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(/.f64 (*.f64 z y) (sqrt.f64 z))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 z y) (sqrt.f64 z))))
cost-diff	128	(+.f64 x (/.f64 (*.f64 z y) (sqrt.f64 z)))
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 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(/.f64 z (sqrt.f64 z))
cost-diff	0	(fma.f64 y (/.f64 z (sqrt.f64 z)) x)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 z (sqrt.f64 z)) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
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: 0 (0.0ms)

Iter	Nodes	Cost
0	23	136
0	40	132
1	71	132
2	99	132
3	125	132
4	132	132
5	138	132
0	138	132

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

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

localize64.0ms (1.1%)

Memory

9.9MiB live, 128.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 z y) (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (/.f64 (*.f64 z y) (sqrt.f64 z)))
accuracy	7.742803110297031	(/.f64 (*.f64 z y) (sqrt.f64 z))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
accuracy	0	(sqrt.f64 z)
accuracy	0.234375	(/.f64 y (sqrt.f64 z))
accuracy	3.725052181818013	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 z (sqrt.f64 z)) x))
accuracy	0	(sqrt.f64 z)
accuracy	0.11328125	(fma.f64 y (/.f64 z (sqrt.f64 z)) x)
accuracy	0.484375	(/.f64 z (sqrt.f64 z))
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
accuracy	0	(sqrt.f64 z)
accuracy	0.22265625	(*.f64 (sqrt.f64 z) y)
accuracy	30.39238082920097	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
accuracy	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.11328125	(fma.f64 (sqrt.f64 z) y x)

Samples

46.0ms

256×

valid

Compiler

Compiled 270 to 48 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 17.0ms (57.2% of total)

ival-add: 6.0ms (20.2% of total)

ival-div: 4.0ms (13.5% of total)

ival-sqrt: 2.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-7.5MiB live, 31.6MiB allocated

Counts

16 → 27

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ (* y (/ z (sqrt z))) x)) (+ (* y (/ z (sqrt z))) x) (/ z (sqrt z)) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ x (/ (* z y) (sqrt z))) (* 1/2 (+ x (/ (* z y) (sqrt z)))) (/ (* z y) (sqrt z)) (* z y))
3.0ms	y	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ (* y (/ z (sqrt z))) x)) (+ (* y (/ z (sqrt z))) x) (/ z (sqrt z)) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ x (/ (* z y) (sqrt z))) (* 1/2 (+ x (/ (* z y) (sqrt z)))) (/ (* z y) (sqrt z)) (* z y))
2.0ms	y	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ (* y (/ z (sqrt z))) x)) (+ (* y (/ z (sqrt z))) x) (/ z (sqrt z)) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ x (/ (* z y) (sqrt z))) (* 1/2 (+ x (/ (* z y) (sqrt z)))) (/ (* z y) (sqrt z)) (* z y))
1.0ms	y	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ (* y (/ z (sqrt z))) x)) (+ (* y (/ z (sqrt z))) x) (/ z (sqrt z)) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ x (/ (* z y) (sqrt z))) (* 1/2 (+ x (/ (* z y) (sqrt z)))) (/ (* z y) (sqrt z)) (* z y))
1.0ms	z	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ (* y (/ z (sqrt z))) x)) (+ (* y (/ z (sqrt z))) x) (/ z (sqrt z)) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ x (/ (* z y) (sqrt z))) (* 1/2 (+ x (/ (* z y) (sqrt z)))) (/ (* z y) (sqrt z)) (* z y))

simplify124.0ms (2.1%)

Memory

-8.6MiB live, 144.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	193
1	287	193
2	940	193
3	2499	181
4	5409	181
5	7975	181
0	8351	164

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite147.0ms (2.5%)

Memory

22.4MiB live, 179.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	109
0	40	89
1	156	89
2	888	89
0	9712	89

Stop Event

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

Counts

16 → 1 011

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

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

eval69.0ms (1.2%)

Memory: -18.9MiB live, 104.0MiB allocated
Compiler: Compiled 8 447 to 1 473 computations (82.6% saved)

prune10.0ms (0.2%)

Memory

27.4MiB live, 27.4MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	474	3	477
Fresh	0	1	1
Picked	3	2	5
Done	0	3	3
Total	477	9	486

Accuracy

100.0%

Counts

486 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64))))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	47.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
▶	52.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 z (sqrt.f64 z)) y)))
▶	47.8%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
✓	52.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	93.7%	#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)))
✓	48.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 139 to 115 computations (17.3% saved)

simplify284.0ms (4.9%)

Memory

-5.4MiB live, 107.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	211
0	53	211
1	85	209
2	132	209
3	228	209
4	384	209
5	679	209
6	1389	209
7	3126	209
8	3786	209
9	4030	209
10	4146	209
11	4180	209
12	4218	209
13	4893	209
14	5376	209
15	5592	209
16	5596	209
17	5600	209
18	5608	209
19	5608	209
20	5740	209
21	5806	209
22	5806	209
23	5846	209
24	6108	209
0	6108	203

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize103.0ms (1.8%)

Memory

-16.9MiB live, 139.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64))))
accuracy	0.21484375	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
accuracy	30.43971387628109	#s(approx (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)))
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	7.742803110297031	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	30.39238082920097	#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0	(sqrt.f64 z)
accuracy	0.22265625	(*.f64 (/.f64 z (sqrt.f64 z)) y)
accuracy	0.484375	(/.f64 z (sqrt.f64 z))
accuracy	30.39238082920097	#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 z (sqrt.f64 z)) y))
accuracy	0	(sqrt.f64 z)
accuracy	0.234375	(/.f64 y (sqrt.f64 z))
accuracy	6.542206959725251	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	30.39238082920097	#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))

Samples

79.0ms

256×

valid

Compiler

Compiled 364 to 70 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 22.0ms (49% of total)

ival-div: 14.0ms (31.2% of total)

ival-sqrt: 4.0ms (8.9% of total)

ival-add: 2.0ms (4.5% of total)

ival-sub: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

33.6MiB live, 33.6MiB allocated

Counts

18 → 70

Calls

Call 1

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

Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 2 (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z)))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z))))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (+ (* -2 (/ x (* (pow y 4) (pow z 2)))) (* 2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(/ 2 x)
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x)
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (* 2 (/ (* (pow y 2) z) (pow x 2))))) x)
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (+ (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* 2 (/ (* (pow y 2) z) (pow x 2)))))) x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* 2 (/ (* (pow y 2) z) x))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* -1 (/ (+ (* -2 (* (pow y 2) z)) (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3))))) x))) x)) 2) x))
(* y (sqrt (/ 1 z)))
(* y z)
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x)))
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* 2 (/ (* y z) (pow x 3))))) (* 2 (/ 1 x)))
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* y (+ (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* 2 (/ z (pow x 3))))))) (* 2 (/ 1 x)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y)
(/ (+ (* -2 (/ x (* y z))) (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))))) y)
(/ (+ (* -2 (/ x (* y z))) (+ (* -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)))))))) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (+ (* -2 (/ x z)) (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))))) y))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -2 (* (pow x 2) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 3) (* y (pow z 2))))) y))) y))) y))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* -2 (/ (- (* y (sqrt z)) x) (pow x 2)))
(+ (* -2 (/ (* (pow y 2) (* z (- (* y (sqrt z)) x))) (pow x 4))) (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))))
(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* -2 (/ (* (pow y 4) (* z (- (* y (sqrt z)) x))) (pow x 6))))))
(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* z (+ (* -2 (/ (* (pow y 4) (- (* y (sqrt z)) x)) (pow x 6))) (* -2 (/ (* (pow y 6) (* z (- (* y (sqrt z)) x))) (pow x 8))))))))
(sqrt (/ 1 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)))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z)))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (+ (* 2 (/ (* (pow x 4) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) (pow z 3)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) 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))))))
(* -1/2 (* 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))))
(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z))))
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -2 (/ (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))) z)))
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* 2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) z)))) z)))
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 2))) (* -2 (/ (* (pow x 4) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) z)))) z)) (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))))) z)))
(* 2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z))))
(* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))

Calls

9 calls:

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

simplify191.0ms (3.3%)

Memory

-10.5MiB live, 190.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	1752
1	1170	1596
2	4066	1495
0	8954	1430

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

Calls

Call 1

Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 2 (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z)))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z))))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (+ (* -2 (/ x (* (pow y 4) (pow z 2)))) (* 2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(/ 2 x)
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x)
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (* 2 (/ (* (pow y 2) z) (pow x 2))))) x)
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (+ (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* 2 (/ (* (pow y 2) z) (pow x 2)))))) x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* 2 (/ (* (pow y 2) z) x))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* -1 (/ (+ (* -2 (* (pow y 2) z)) (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3))))) x))) x)) 2) x))
(* y (sqrt (/ 1 z)))
(* y z)
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x)))
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* 2 (/ (* y z) (pow x 3))))) (* 2 (/ 1 x)))
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* y (+ (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* 2 (/ z (pow x 3))))))) (* 2 (/ 1 x)))
(* (/ 1 y) (sqrt (/ 1 z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y)
(/ (+ (* -2 (/ x (* y z))) (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))))) y)
(/ (+ (* -2 (/ x (* y z))) (+ (* -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)))))))) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (+ (* -2 (/ x z)) (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))))) y))) y))
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -2 (* (pow x 2) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 3) (* y (pow z 2))))) y))) y))) y))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* -2 (/ (- (* y (sqrt z)) x) (pow x 2)))
(+ (* -2 (/ (* (pow y 2) (* z (- (* y (sqrt z)) x))) (pow x 4))) (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))))
(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* -2 (/ (* (pow y 4) (* z (- (* y (sqrt z)) x))) (pow x 6))))))
(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* z (+ (* -2 (/ (* (pow y 4) (- (* y (sqrt z)) x)) (pow x 6))) (* -2 (/ (* (pow y 6) (* z (- (* y (sqrt z)) x))) (pow x 8))))))))
(sqrt (/ 1 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)))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z)))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z))))
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (+ (* 2 (/ (* (pow x 4) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) (pow z 3)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) 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))))))
(* -1/2 (* 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))))
(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z))))
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -2 (/ (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))) z)))
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* 2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) z)))) z)))
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 2))) (* -2 (/ (* (pow x 4) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) z)))) z)) (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))))) z)))
(* 2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z))))
(* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))

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

rewrite169.0ms (2.9%)

Memory

2.4MiB live, 204.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	191
0	53	189
1	169	179
2	927	141
0	9235	133

Stop Event

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

Counts

18 → 570

Calls

Call 1

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

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

eval48.0ms (0.8%)

Memory: 13.2MiB live, 88.7MiB allocated
Compiler: Compiled 10 718 to 1 749 computations (83.7% saved)

prune17.0ms (0.3%)

Memory

-10.5MiB live, 33.9MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	391	1	392
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	392	9	401

Accuracy

100.0%

Counts

401 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) y)))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	47.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
✓	52.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 z (sqrt.f64 z)) y)))
✓	47.8%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
✓	52.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	93.7%	#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)))
✓	48.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 515 to 226 computations (56.1% saved)

regimes54.0ms (0.9%)

Memory

-6.6MiB live, 69.4MiB allocated

Counts

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

Calls

7 calls:

10.0ms	z
9.0ms	(sqrt.f64 z)
7.0ms	x
7.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
7.0ms	(+.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)

regimes18.0ms (0.3%)

Memory

-8.3MiB live, 29.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

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)

regimes14.0ms (0.2%)

Memory

27.9MiB live, 27.9MiB 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(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)))

Outputs

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

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

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

Calls

7 calls:

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	z
2.0ms	(sqrt.f64 z)
2.0ms	x

Results

Accuracy	Segments	Branch
72.6%	3	`x`
75.8%	3	`y`
62.4%	2	`z`
57.5%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
57.5%	2	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
76.9%	3	`(*.f64 y (sqrt.f64 z))`
62.4%	2	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes101.0ms (1.8%)

Memory

-18.8MiB live, 25.7MiB 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 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	x
1.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	y

Results

Accuracy	Segments	Branch
48.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
48.9%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
48.9%	1	`z`
48.9%	1	`(sqrt.f64 z)`
48.9%	1	`x`
48.9%	1	`y`
48.9%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.893313473181628e+109	1.1922747418816459e+125
0.0ms	-2.837869959515952e-63	-2.7065811465032384e-63

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify51.0ms (0.9%)

Memory

-18.2MiB live, 60.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	83
1	38	83

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 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 -2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488 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 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 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 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 (+.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488 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 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
(if (<=.f64 (.f64 (sqrt.f64 z) y) #s(literal -2593742798915883/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (sqrt.f64 z) y) #s(literal 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(literal 1/2 binary64))) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))

soundness377.0ms (6.5%)

Memory

0.2MiB live, 196.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 157 to 71 computations (54.8% saved)

preprocess46.0ms (0.8%)

Memory: -8.9MiB live, 36.6MiB allocated
Compiler: Compiled 202 to 74 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze136.0ms (2.3%)

sample1.3s (23%)

explain173.0ms (3%)

preprocess80.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize23.0ms (0.4%)

series8.0ms (0.1%)

simplify214.0ms (3.7%)

rewrite215.0ms (3.7%)

eval29.0ms (0.5%)

prune46.0ms (0.8%)

simplify137.0ms (2.4%)

localize196.0ms (3.4%)

series74.0ms (1.3%)

simplify219.0ms (3.8%)

rewrite314.0ms (5.4%)

eval605.0ms (10.5%)

prune52.0ms (0.9%)

simplify6.0ms (0.1%)

localize64.0ms (1.1%)

series14.0ms (0.2%)

simplify124.0ms (2.1%)

rewrite147.0ms (2.5%)

eval69.0ms (1.2%)

prune10.0ms (0.2%)

simplify284.0ms (4.9%)

localize103.0ms (1.8%)

series18.0ms (0.3%)

simplify191.0ms (3.3%)

rewrite169.0ms (2.9%)

eval48.0ms (0.8%)

prune17.0ms (0.3%)

regimes54.0ms (0.9%)

regimes18.0ms (0.3%)

regimes14.0ms (0.2%)

regimes101.0ms (1.8%)

bsearch1.0ms (0%)

simplify51.0ms (0.9%)

soundness377.0ms (6.5%)

preprocess46.0ms (0.8%)

end0.0ms (0%)

Profiling