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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze71.0ms (1.1%)

Memory

-19.6MiB live, 65.2MiB 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)

sample1.7s (26.9%)

Memory

48.1MiB live, 1 508.5MiB allocated

Samples

907.0ms	8 256×	0	valid
243.0ms	2 106×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 605.0ms

ival-mult: 250.0ms (41.3% of total)

ival-add: 169.0ms (27.9% of total)

ival-sqrt: 82.0ms (13.5% of total)

ival-div: 81.0ms (13.4% of total)

exact: 10.0ms (1.7% of total)

ival-true: 8.0ms (1.3% of total)

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

Bogosity

explain157.0ms (2.4%)

Memory

-24.1MiB live, 122.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

34.0ms

512×

valid

Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions

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

ival-mult: 6.0ms (34.7% of total)

ival-sqrt: 4.0ms (23.1% of total)

ival-div: 3.0ms (17.4% of total)

ival-add: 2.0ms (11.6% of total)

exact: 1.0ms (5.8% of total)

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

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

preprocess124.0ms (1.9%)

Memory

-27.4MiB live, 44.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	78
1	112	74
2	311	74
3	629	74
4	1004	74
5	1489	74
6	1931	74
7	2250	74
8	2399	74
9	2485	74
10	2525	74
11	2529	74
12	2529	74
0	10	8
0	16	8
1	27	8
2	37	8
3	39	8
0	39	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify3.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	16	26
1	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

22.7MiB live, 22.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0078125	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.1875	(*.f64 y (sqrt.f64 z))

Samples

16.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (36% of total)

ival-div: 2.0ms (24% of total)

ival-sqrt: 2.0ms (24% of total)

ival-add: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB 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))

simplify164.0ms (2.6%)

Memory

-17.7MiB live, 61.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	158
1	251	158
2	805	158
3	2310	150
4	5209	150
5	7705	150
0	8081	135

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite274.0ms (4.3%)

Memory

15.8MiB live, 210.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	41	21
2	234	21
3	2021	21
0	8198	19

Stop Event

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

Counts

5 → 272

Calls

Call 1

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

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

eval85.0ms (1.3%)

Memory: -19.6MiB live, 63.5MiB allocated
Compiler: Compiled 8 492 to 946 computations (88.9% saved)

prune8.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	272	8	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	273	8	281

Accuracy

100.0%

Counts

281 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.4%	(/.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))
	61.2%	(/.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))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
▶	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	89.1%	(.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)))))))
▶	94.7%	#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)))
	49.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	52.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 272 to 214 computations (21.3% saved)

simplify309.0ms (4.8%)

Memory

-18.5MiB live, 59.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
cost-diff	1	(neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	6	(fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y))))))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
cost-diff	0	(.f64 (fma.f64 (.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fma.f64 (sqrt.f64 z) y x)
cost-diff	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize152.0ms (2.4%)

Memory

6.2MiB live, 98.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1875	(*.f64 (sqrt.f64 z) y)
accuracy	2.5080543277888996	(/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))
accuracy	3.4746586119706917	(/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))
accuracy	4.262150754042432	(.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))))
accuracy	0.01171875	(-.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	0.1875	(*.f64 (sqrt.f64 z) y)
accuracy	2.667959116871532	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
accuracy	24.216917639054376	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	0.0	(*.f64 z y)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
accuracy	0.12109375	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	3.388091999161524	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	30.54765019720259	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.078125	(fma.f64 (sqrt.f64 z) y x)

Samples

129.0ms

256×

valid

Compiler

Compiled 266 to 38 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 50.0ms (69% of total)

ival-div: 8.0ms (11% of total)

ival-add: 5.0ms (6.9% of total)

ival-sqrt: 4.0ms (5.5% of total)

ival-sub: 2.0ms (2.8% of total)

ival-neg: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series87.0ms (1.4%)

Memory

-13.2MiB live, 62.3MiB allocated

Counts

22 → 189

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	z	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y)))))) (/ 1 2) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))) (* (/ 1 2) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
18.0ms	x	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y)))))) (/ 1 2) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))) (* (/ 1 2) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
14.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y)))))) (/ 1 2) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))) (* (/ 1 2) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
7.0ms	y	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y)))))) (/ 1 2) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))) (* (/ 1 2) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
5.0ms	x	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y)))))) (/ 1 2) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))) (* (/ 1 2) (+ (* x (/ x (- x (* (sqrt z) y)))) (neg (* (* z y) (/ y (- x (* (sqrt z) y))))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))

simplify218.0ms (3.4%)

Memory

31.8MiB live, 145.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	868	4380
1	2940	3878
0	8541	3711

Stop Event

1×	iter limit
1×	node limit

Counts

189 → 188

Calls

Call 1

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

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

rewrite357.0ms (5.6%)

Memory

5.4MiB live, 322.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	214
0	65	157
1	227	155
2	1544	152
0	8822	152

Stop Event

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

Counts

22 → 1 966

Calls

Call 1

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

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

eval315.0ms (4.9%)

Memory: -0.3MiB live, 347.5MiB allocated
Compiler: Compiled 44 298 to 4 710 computations (89.4% saved)

prune438.0ms (6.8%)

Memory

-17.4MiB live, 69.0MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 147	6	1 153
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 151	10	1 161

Accuracy

100.0%

Counts

1 161 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.4%	(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
▶	90.8%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	88.7%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
▶	49.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
▶	94.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
✓	94.7%	#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) x))
▶	93.3%	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))

Compiler

Compiled 279 to 224 computations (19.7% saved)

simplify265.0ms (4.1%)

Memory

-9.5MiB live, 105.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
cost-diff	2	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
cost-diff	0	(/.f64 (*.f64 (sqrt.f64 z) y) x)
cost-diff	0	(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
cost-diff	4	(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(/.f64 y (sqrt.f64 z))
cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
cost-diff	0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (sqrt.f64 z) y x)
cost-diff	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	205
0	56	192
1	98	188
2	186	188
3	324	188
4	545	184
5	908	184
6	1289	184
7	2650	184
8	3044	184
9	3347	184
10	3537	184
11	3691	184
12	3778	184
13	4996	184
14	5495	184
15	5580	184
16	5676	184
17	5794	184
18	5920	184
19	6089	184
20	6276	184
21	6499	184
22	6751	184
23	7050	184
24	7369	184
25	7720	184
26	7919	184
27	7998	184
0	8002	184

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2.4%)

Memory

28.8MiB live, 110.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
accuracy	0.25390625	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	3.388091999161524	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
accuracy	0.0	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
accuracy	0.1875	(*.f64 (sqrt.f64 z) y)
accuracy	4.316650940204869	(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
accuracy	4.8193300220576125	(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.17578125	(/.f64 y (sqrt.f64 z))
accuracy	5.831991217599875	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
accuracy	0.0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.1875	(*.f64 (sqrt.f64 z) y)
accuracy	32.54844877211196	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.078125	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.203125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
accuracy	0.6104516129592104	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))

Samples

136.0ms

256×

valid

Compiler

Compiled 188 to 31 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-add: 16.0ms (37.7% of total)

ival-mult: 16.0ms (37.7% of total)

ival-div: 9.0ms (21.2% of total)

ival-sqrt: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.4%)

Memory

-19.9MiB live, 57.1MiB allocated

Counts

20 → 67

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	((/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (/ 1 (sqrt z)))
3.0ms	y	@	-inf	((/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (/ 1 (sqrt z)))
3.0ms	z	@	0	((/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (/ 1 (sqrt z)))
3.0ms	y	@	0	((/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (/ 1 (sqrt z)))
3.0ms	y	@	inf	((/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (/ 1 (sqrt z)))

simplify157.0ms (2.4%)

Memory

17.2MiB live, 220.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	1093
1	1059	1025
2	3555	968
0	8752	922

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

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

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

rewrite179.0ms (2.8%)

Memory

-3.1MiB live, 225.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	172
0	56	153
1	194	150
2	1040	148
0	9277	148

Stop Event

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

Counts

20 → 975

Calls

Call 1

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

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

eval88.0ms (1.4%)

Memory: 10.6MiB live, 167.0MiB allocated
Compiler: Compiled 15 700 to 2 623 computations (83.3% saved)

prune15.0ms (0.2%)

Memory

7.7MiB live, 45.3MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	676	5	681
Fresh	2	0	2
Picked	2	3	5
Done	1	2	3
Total	681	10	691

Accuracy

100.0%

Counts

691 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)))
✓	90.8%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	44.6%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	41.3%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64))
▶	40.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
✓	49.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	52.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
✓	93.3%	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
▶	42.4%	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))

Compiler

Compiled 231 to 182 computations (21.2% saved)

simplify6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	250
0	54	241
1	80	241
2	105	241
3	130	241
4	139	241
0	139	238

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (1.4%)

Memory

-11.0MiB live, 161.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.17578125	(/.f64 (sqrt.f64 z) y)
accuracy	9.867503927724563	(/.f64 z (/.f64 (sqrt.f64 z) y))
accuracy	32.54844877211196	#s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y)))
accuracy	0.1875	(*.f64 (sqrt.f64 z) y)
accuracy	4.316650940204869	(.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
accuracy	4.8193300220576125	(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	32.47571903495783	#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 y z)
accuracy	0.0	(sqrt.f64 z)
accuracy	6.456306005519895	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	32.54844877211196	#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.17578125	(/.f64 y (sqrt.f64 z))
accuracy	9.74307414692902	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	32.54844877211196	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.078125	(fma.f64 y (sqrt.f64 z) x)
accuracy	0.203125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)))
accuracy	0.6104516129592104	(/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x))

Samples

63.0ms

256×

valid

Compiler

Compiled 173 to 26 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sqrt: 16.0ms (36% of total)

ival-div: 14.0ms (31.5% of total)

ival-mult: 10.0ms (22.5% of total)

ival-add: 3.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.3%)

Memory

-28.1MiB live, 54.2MiB allocated

Counts

22 → 66

Calls

Call 1

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

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

Calls

9 calls:

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

simplify130.0ms (2%)

Memory

26.6MiB live, 180.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	1075
1	1035	1003
2	3432	946
0	8659	902

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

Calls

Call 1

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

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

rewrite157.0ms (2.4%)

Memory

2.1MiB live, 156.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	224
0	54	217
1	165	217
2	733	197
3	6449	197
0	8142	194

Stop Event

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

Counts

22 → 824

Calls

Call 1

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

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

eval121.0ms (1.9%)

Memory: -6.7MiB live, 187.0MiB allocated
Compiler: Compiled 17 374 to 2 886 computations (83.4% saved)

prune20.0ms (0.3%)

Memory

11.5MiB live, 49.1MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	769	2	771
Fresh	0	0	0
Picked	2	3	5
Done	0	5	5
Total	771	10	781

Accuracy

100.0%

Counts

781 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
✓	90.8%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	44.6%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	40.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
✓	49.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
	40.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)) #s(literal 1/2 binary64))
✓	52.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
✓	93.3%	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
✓	42.4%	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))

Compiler

Compiled 534 to 237 computations (55.6% saved)

regimes49.0ms (0.8%)

Memory

-20.1MiB live, 62.9MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.9%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.9%	1	`(*.f64 y (sqrt.f64 z))`
99.9%	1	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes12.0ms (0.2%)

Memory

22.9MiB live, 22.9MiB 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(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))

Outputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
73.9%	3	`x`
81.2%	3	`y`
59.2%	2	`z`
63.6%	5	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
63.6%	5	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
81.4%	3	`(*.f64 y (sqrt.f64 z))`
59.2%	2	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes11.0ms (0.2%)

Memory

-19.8MiB live, 18.1MiB 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:

3.0ms	(sqrt.f64 z)
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	z
1.0ms	(*.f64 y (sqrt.f64 z))

Results

Accuracy	Segments	Branch
52.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
52.3%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
52.3%	1	`z`
52.3%	1	`(sqrt.f64 z)`
52.3%	1	`x`
52.3%	1	`y`
52.3%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.239667528911616e-17	5.4318325443712704e-11
0.0ms	-2.463333357485834e-62	-1.5202057275492467e-68

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify9.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	61
1	40	61
2	52	61
3	56	61

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -578960446186581/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2028240960365167/20282409603651670423947251286016 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 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -578960446186581/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
(if (or (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -578960446186581/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (not (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

soundness366.0ms (5.7%)

Memory

-10.3MiB live, 179.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 115 to 59 computations (48.7% saved)

preprocess22.0ms (0.3%)

Memory: 35.2MiB live, 35.2MiB allocated
Compiler: Compiled 154 to 74 computations (51.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze71.0ms (1.1%)

sample1.7s (26.9%)

explain157.0ms (2.4%)

preprocess124.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize23.0ms (0.4%)

series7.0ms (0.1%)

simplify164.0ms (2.6%)

rewrite274.0ms (4.3%)

eval85.0ms (1.3%)

prune8.0ms (0.1%)

simplify309.0ms (4.8%)

localize152.0ms (2.4%)

series87.0ms (1.4%)

simplify218.0ms (3.4%)

rewrite357.0ms (5.6%)

eval315.0ms (4.9%)

prune438.0ms (6.8%)

simplify265.0ms (4.1%)

localize154.0ms (2.4%)

series29.0ms (0.4%)

simplify157.0ms (2.4%)

rewrite179.0ms (2.8%)

eval88.0ms (1.4%)

prune15.0ms (0.2%)

simplify6.0ms (0.1%)

localize91.0ms (1.4%)

series22.0ms (0.3%)

simplify130.0ms (2%)

rewrite157.0ms (2.4%)

eval121.0ms (1.9%)

prune20.0ms (0.3%)

regimes49.0ms (0.8%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

bsearch1.0ms (0%)

simplify9.0ms (0.1%)

soundness366.0ms (5.7%)

preprocess22.0ms (0.3%)

end0.0ms (0%)

Profiling