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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze55.0ms (1%)

Memory

-17.2MiB live, 67.5MiB 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)

sample1.1s (19.2%)

Memory

30.3MiB live, 1 404.7MiB allocated

Samples

536.0ms	8 256×	0	valid
124.0ms	2 126×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-mult: 121.0ms (32.8% of total)

ival-div: 87.0ms (23.6% of total)

ival-sqrt: 81.0ms (22% of total)

ival-add: 61.0ms (16.6% of total)

exact: 9.0ms (2.4% of total)

ival-true: 7.0ms (1.9% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain148.0ms (2.6%)

Memory

6.5MiB live, 245.7MiB 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 134 to 59 computations (56% saved)

Precisions

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

preprocess73.0ms (1.3%)

Memory

1.5MiB live, 40.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	16	26
1	27	26
2	37	26
3	39	26
0	39	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.5%)

Memory

3.7MiB live, 42.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.0078125	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.22265625	(*.f64 y (sqrt.f64 z))

Samples

24.0ms

256×

valid

Compiler

Compiled 62 to 22 computations (64.5% saved)

Precisions

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

ival-mult: 7.0ms (54.9% of total)

ival-div: 2.0ms (15.7% of total)

ival-sqrt: 2.0ms (15.7% of total)

ival-add: 1.0ms (7.8% 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

12.1MiB live, 12.1MiB 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))

simplify134.0ms (2.4%)

Memory

-47.5MiB live, 139.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite211.0ms (3.7%)

Memory

3.5MiB live, 195.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 272

Calls

Call 1

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

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

eval43.0ms (0.8%)

Memory: 9.9MiB live, 47.1MiB allocated
Compiler: Compiled 8 492 to 946 computations (88.9% saved)

prune9.0ms (0.2%)

Memory

24.5MiB live, 24.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	271	9	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	272	9	281

Accuracy

100.0%

Counts

281 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.5%	(/.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))
▶	48.8%	(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (.f64 (sqrt.f64 z) y)))
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	90.0%	(.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)))))))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))))))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	93.2%	#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)))
	49.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	51.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 296 to 238 computations (19.6% saved)

simplify232.0ms (4.1%)

Memory

-27.5MiB live, 92.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	231
0	60	221
1	116	221
2	231	214
3	511	213
4	1065	213
5	1930	213
6	3997	213
7	4824	213
8	5362	213
9	5833	213
10	5888	213
11	5891	213
12	6558	213
13	6717	213
14	6729	213
15	6729	213
16	6729	213
17	6729	213
18	6769	213
19	6785	213
20	6785	213
0	6785	213

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize106.0ms (1.9%)

Memory

21.1MiB live, 140.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(*.f64 (sqrt.f64 z) y)
accuracy	0.7787494809526743	(/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))
accuracy	2.001679067333796	(/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))
accuracy	5.1942990194896455	(.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))))
accuracy	0.01953125	(-.f64 x (*.f64 (sqrt.f64 z) y))
accuracy	0.22265625	(*.f64 (sqrt.f64 z) y)
accuracy	6.742317351440789	(fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))
accuracy	28.736576175847944	(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (.f64 (sqrt.f64 z) y)))
accuracy	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.109375	(fma.f64 (sqrt.f64 z) y x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	31.162219725276476	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.0078125	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.22265625	(*.f64 y (sqrt.f64 z))

Samples

80.0ms

256×

valid

Compiler

Compiled 479 to 71 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 28.0ms (60.6% of total)

ival-div: 8.0ms (17.3% of total)

ival-add: 4.0ms (8.7% of total)

ival-sqrt: 2.0ms (4.3% of total)

ival-neg: 2.0ms (4.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series108.0ms (1.9%)

Memory

-16.2MiB live, 59.1MiB allocated

Counts

21 → 182

Calls

Call 1

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

Outputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* -1/2 (* (pow y 2) z))
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2)))
(* -1 (* (pow y 2) z))
(+ (* -1 (* (pow y 2) z)) (pow x 2))
(- x (* -1 (* y (sqrt z))))
(- (* x (+ 1 (* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z))))))) (* -1 (* y (sqrt z))))
(- (* x (+ 1 (* (/ x y) (sqrt (/ 1 z))))) (* -1 (* y (sqrt z))))
(- (* x (+ 1 (* x (+ (* (/ 1 y) (sqrt (/ 1 z))) (/ x (* (pow y 2) z)))))) (* -1 (* y (sqrt z))))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z)))))))))
(* -1 (* y (sqrt z)))
(- x (* 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
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2)))))
(* 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))))))
(* x (+ 1 (* -1 (* (/ y x) (sqrt z)))))
(/ (* (pow y 2) z) x)
(/ (+ (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)
(/ (- (+ (* (pow y 2) z) (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3))))) x)
(/ (- (+ (* (/ (pow y 5) (pow x 3)) (sqrt (pow z 5))) (* (pow y 2) z)) (+ (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 2))))) x)
(/ y x)
(/ (+ y (* (/ (pow y 2) x) (sqrt z))) x)
(/ (- (+ y (/ (* (pow y 3) z) (pow x 2))) (* -1 (* (/ (pow y 2) x) (sqrt z)))) x)
(/ (- (+ y (* (/ (pow y 4) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1 (* (/ (pow y 2) x) (sqrt z))) (* -1 (/ (* (pow y 3) z) (pow x 2))))) x)
1
(+ 1 (* (/ y x) (sqrt z)))
(- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* -1 (* (/ y x) (sqrt z))))
(- (+ 1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1 (* (/ y x) (sqrt z))) (* -1 (/ (* (pow y 2) z) (pow x 2)))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -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 (- (* (/ y x) (sqrt z)) 1)))
(* -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)))
(+ 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)))))
(+ x (* -1 (* y (sqrt z))))
(* (pow y 2) (+ (* (/ y (pow x 2)) (sqrt (pow z 3))) (/ z x)))
(* (pow y 2) (+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (/ z x)))
(* (pow y 2) (+ (* y (- (* y (- (* (/ y (pow x 4)) (sqrt (pow z 5))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (/ z x)))
(* y (+ (* (/ y (pow x 2)) (sqrt z)) (/ 1 x)))
(* y (+ (* y (- (/ (* y z) (pow x 3)) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (/ 1 x)))
(* y (+ (* y (- (* y (- (* (/ y (pow x 4)) (sqrt (pow z 3))) (* -1 (/ z (pow x 3))))) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (/ 1 x)))
(+ 1 (* y (- (/ (* y z) (pow x 2)) (* -1 (* (/ 1 x) (sqrt z))))))
(+ 1 (* y (- (* y (- (* (/ y (pow x 3)) (sqrt (pow z 3))) (* -1 (/ z (pow x 2))))) (* -1 (* (/ 1 x) (sqrt z))))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ (* -1 z) (/ (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 (- (/ x y) (sqrt z)))
(* 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 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ 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 (/ x y)) (* -1 (sqrt z)))))
(* -1 (* y (+ (sqrt z) (/ x y))))
(* -1 (* y (+ (sqrt z) (* -1 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) x) y)))))
(* -1 (* y (+ (sqrt z) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y z)) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) y)) x) y)))))
(+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (* -1 (/ x z))) y)))
(+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow z 2)))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (* -1 (/ x z))) y)))
(* -1 (/ (+ (* x (sqrt (/ 1 z))) (/ (pow x 2) (* y z))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 3) y) (sqrt (/ 1 (pow z 3))))) (/ (pow x 2) z)) y)) (* x (sqrt (/ 1 z)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) (* y (pow z 2))) (* -1 (* (pow x 3) (sqrt (/ 1 (pow z 3)))))) y)) (/ (pow x 2) z)) y)) (* x (sqrt (/ 1 z)))) y))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))))
(* -1 z)
(/ (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)))))
(/ (* (pow y 2) z) (- x (* y (sqrt z))))
(/ y (- x (* y (sqrt z))))
(/ x (- x (* y (sqrt z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z))))
(* z (+ (* -1 (pow y 2)) (/ (pow x 2) z)))
(- (+ 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 (- (/ 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 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* y (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 x 2) z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (pow y 2))))
(- (* -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))))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (- (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 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)))
(sqrt (/ 1 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
52.0ms	x	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (+ (* 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 z) y) (- x (* (sqrt z) y)) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
19.0ms	z	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (+ (* 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 z) y) (- x (* (sqrt z) y)) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
6.0ms	y	@	0	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (+ (* 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 z) y) (- x (* (sqrt z) y)) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
6.0ms	z	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (+ (* 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 z) y) (- x (* (sqrt z) y)) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
5.0ms	x	@	0	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (+ (* 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 z) y) (- x (* (sqrt z) y)) (* (* z y) (/ y (- x (* (sqrt z) y)))) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))

simplify201.0ms (3.5%)

Memory

35.2MiB live, 188.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	852	4280
1	2901	3798
0	8641	3636

Stop Event

1×	iter limit
1×	node limit

Counts

182 → 181

Calls

Call 1

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

rewrite251.0ms (4.4%)

Memory

-7.0MiB live, 306.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	187
0	60	137
1	196	137
2	1270	137
0	8611	137

Stop Event

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

Counts

21 → 2 016

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (.f64 (neg.f64 y) z) y (.f64 x x)) (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)))) (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (fma.f64 (sqrt.f64 z) y (neg.f64 x))))
(.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (.f64 (neg.f64 y) z) y (.f64 x x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
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(/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 z) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 (sqrt.f64 z) y))) (/.f64 y (fma.f64 #s(literal -1 binary64) x (.f64 (sqrt.f64 z) y))))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 z) y))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 x (/.f64 (fma.f64 (.f64 (neg.f64 y) z) y (.f64 x x)) (fma.f64 (.f64 z y) y (*.f64 (neg.f64 x) x)))) (pow.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 (fma.f64 (.f64 (neg.f64 y) z) y (.f64 x x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 (fma.f64 (.f64 (neg.f64 y) z) y (.f64 x x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 (neg.f64 y) z) y (*.f64 x x))) (fma.f64 (sqrt.f64 z) y x))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y x) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x))))
(.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 (sqrt.f64 z) y))))
(.f64 (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) x)
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (sqrt.f64 z) y))))
(.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))
(.f64 x (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) x) #s(literal -1 binary64))
(/.f64 (/.f64 x (fma.f64 (.f64 (neg.f64 y) z) y (.f64 x x))) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) x)))
(/.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 z) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) x))
(/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))
(neg.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 z) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 (sqrt.f64 z) y))) (/.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 (sqrt.f64 z) y))))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 z) y))))
(exp.f64 (.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal -1 binary64)))

eval646.0ms (11.4%)

Memory: -13.5MiB live, 218.7MiB allocated
Compiler: Compiled 49 980 to 4 950 computations (90.1% saved)

prune66.0ms (1.2%)

Memory

24.6MiB live, 63.9MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1 256	7	1 263
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 261	11	1 272

Accuracy

100.0%

Counts

1 272 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(/.f64 (.f64 #s(approx (+ ( (neg z) (* y y)) (* x x)) (.f64 (.f64 (neg.f64 z) y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))
▶	22.4%	(/.f64 #s(approx (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64))) (-.f64 x (.f64 (sqrt.f64 z) y)))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	87.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x #s(approx (/ x (- x ( (sqrt z) y))) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
▶	89.3%	(.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (.f64 (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y))) y) (.f64 (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))) x)))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	88.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
▶	84.6%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)))
▶	49.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
▶	93.2%	#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)))
✓	51.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 389 to 286 computations (26.5% saved)

simplify151.0ms (2.7%)

Memory

9.9MiB live, 86.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	341
0	72	339
1	135	337
2	265	337
3	553	337
4	1052	330
5	1592	326
6	2953	326
7	4200	326
8	4980	326
9	5358	326
10	5432	326
11	5464	326
12	6637	326
13	7592	326
0	8006	320

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (2.2%)

Memory

-19.2MiB live, 177.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(*.f64 (sqrt.f64 z) y)
accuracy	0.7787494809526743	(/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))
accuracy	2.001679067333796	(/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))
accuracy	4.847203890713379	(fma.f64 (neg.f64 z) (.f64 (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y))) y) (.f64 (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) x))
accuracy	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
accuracy	0.140625	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.3515597476055602	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
accuracy	9.844714190294876	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
accuracy	0.22265625	(*.f64 (sqrt.f64 z) y)
accuracy	6.749428400962662	(.f64 (.f64 y y) z)
accuracy	28.220991642943883	#s(approx (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))
accuracy	28.736576175847944	(/.f64 #s(approx (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64))) (-.f64 x (.f64 (sqrt.f64 z) y)))
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
accuracy	0	(sqrt.f64 z)
accuracy	0.22265625	(*.f64 (sqrt.f64 z) y)
accuracy	32.087189438260985	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
accuracy	0	(*.f64 z y)
accuracy	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
accuracy	0.140625	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	4.317127947919672	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)

Samples

91.0ms

256×

valid

Compiler

Compiled 632 to 91 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 27.0ms (40.6% of total)

ival-mult: 27.0ms (40.6% of total)

ival-add: 5.0ms (7.5% of total)

ival-sqrt: 3.0ms (4.5% of total)

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.7%)

Memory

19.4MiB live, 55.3MiB allocated

Counts

23 → 158

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 z y)
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
(/.f64 #s(approx (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64))) (-.f64 x (.f64 (sqrt.f64 z) y)))
#s(approx (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))
(.f64 (.f64 y y) z)
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (.f64 (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y))) y) (.f64 (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))) x)))
(fma.f64 (neg.f64 z) (.f64 (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y))) y) (.f64 (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) x))
(neg.f64 z)
(.f64 (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y))) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.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 (* (pow y 2) z))
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2)))
(* y (sqrt (/ 1 z)))
(+ (* y (sqrt (/ 1 z))) (/ x z))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z)))))))))
(+ (* x (+ 1 (* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ 1 y) (sqrt (/ 1 z))))))) (* y (sqrt z)))
(* -1 (* y (sqrt (/ 1 z))))
(+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))
(+ (* -1 (* y (sqrt (/ 1 z)))) (* x (- (* -1 (* (/ x y) (sqrt (/ 1 (pow z 3))))) (/ 1 z))))
(+ (* -1 (* y (sqrt (/ 1 z)))) (* x (- (* x (- (* -1 (/ x (* (pow y 2) (pow z 2)))) (* (/ 1 y) (sqrt (/ 1 (pow z 3)))))) (/ 1 z))))
(* -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))))))
(* 1/2 x)
(* 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 (* -1/2 (/ (* (pow y 2) z) (pow x 2)))))
(/ x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(/ (pow y 2) x)
(/ (+ (* (/ (pow y 3) x) (sqrt z)) (pow y 2)) x)
(/ (- (+ (/ (* (pow y 4) z) (pow x 2)) (pow y 2)) (* -1 (* (/ (pow y 3) x) (sqrt z)))) x)
(/ (- (+ (* (/ (pow y 5) (pow x 3)) (sqrt (pow z 3))) (pow y 2)) (+ (* -1 (* (/ (pow y 3) x) (sqrt z))) (* -1 (/ (* (pow y 4) z) (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 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) x)) (* 1/2 (* y (sqrt z)))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1)))
(* -1 (/ (+ (* -1 (* (/ (pow y 3) x) (sqrt z))) (* -1 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (+ (* (pow y 3) (sqrt z)) (/ (* (pow y 4) z) x)) x)) (* -1 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (pow y 5) x) (sqrt (pow z 3)))) (* -1 (* (pow y 4) z))) x)) (* (pow y 3) (sqrt z))) x)) (* -1 (pow y 2))) 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)
(* (pow y 2) z)
(* (pow y 2) (+ (* (/ y (pow x 2)) (sqrt z)) (/ 1 x)))
(* (pow y 2) (+ (* y (- (/ (* y z) (pow x 3)) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (* y (- (* (/ y (pow x 4)) (sqrt (pow z 3))) (* -1 (/ z (pow x 3))))) (* -1 (* (/ 1 (pow x 2)) (sqrt z))))) (/ 1 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 z) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ (sqrt (/ 1 z)) (/ x (* y 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 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (+ (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))) (/ x y)))))
(* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))
(* y (- (+ (* -1 (sqrt (/ 1 z))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (/ x (* y z))))
(* y (- (+ (* -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 (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 (sqrt (/ 1 z))) (* -1 (/ x (* y 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)) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y))) y)))))
(* -1 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))
(* -1 (* y (+ (sqrt (/ 1 z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (/ x z)) y)))))
(* -1 (* y (+ (sqrt (/ 1 z)) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* -1 (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y)) (/ x z)) 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) (- x (* y (sqrt z)))))
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))))
(/ (+ x (* y (sqrt z))) z)
(/ (pow x 2) (- x (* y (sqrt z))))
(+ (* -1 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (/ (pow x 2) (- x (* y (sqrt z)))))
(* -1 z)
(/ (pow y 2) (- x (* y (sqrt z))))
(sqrt (/ 1 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 y 2)) (* 1/2 (/ (pow x 2) 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))))))
(+ x (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* y (sqrt z))))
(- (+ x (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* y (sqrt z)) (* (/ (pow x 2) y) (sqrt (/ 1 z)))))) (/ (pow x 3) (* (pow y 2) z)))
(- (+ x (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* y (sqrt z)) (* (/ (pow x 2) y) (sqrt (/ 1 z)))))) (* (/ (pow x 4) (pow y 3)) (sqrt (/ 1 (pow z 3)))))
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) z)
(/ (- (+ (* -1 (* y (sqrt z))) (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z))))) x) z)
(/ (- (+ (* -1 (* y (sqrt z))) (* -1 (/ (pow x 3) (* (pow y 2) z)))) (+ x (* (/ (pow x 2) y) (sqrt (/ 1 z))))) 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)))))))
(* 1/2 (* (* 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 (* (* 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 (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 x 2) z)) (* 1/2 (pow y 2)))))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x 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))))
(* -1 (* y (sqrt z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (* 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)))
(+ (* -1 (* 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)))
(* -1 (/ (+ (* -1 (* y (sqrt z))) (* -1 (/ x (pow (sqrt -1) 2)))) z))
(* -1 (/ (+ (* -1 (* y (sqrt z))) (* -1 (/ (- (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z))) z))
(* -1 (/ (+ (* -1 (* 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))) z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* -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
12.0ms	y	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (* (* (* y y) z) -1/2) (* (* y y) z) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* 1/2 (+ (* (neg z) (* (/ y (- x (* (sqrt z) y))) y)) (* (/ x (- x (* (sqrt z) y))) x))) (+ (* (neg z) (* (/ y (- x (* (sqrt z) y))) y)) (* (/ x (- x (* (sqrt z) y))) x)) (neg z) (* (/ y (- x (* (sqrt z) y))) y) (sqrt (/ 1 z)) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
5.0ms	z	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (* (* (* y y) z) -1/2) (* (* y y) z) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* 1/2 (+ (* (neg z) (* (/ y (- x (* (sqrt z) y))) y)) (* (/ x (- x (* (sqrt z) y))) x))) (+ (* (neg z) (* (/ y (- x (* (sqrt z) y))) y)) (* (/ x (- x (* (sqrt z) y))) x)) (neg z) (* (/ y (- x (* (sqrt z) y))) y) (sqrt (/ 1 z)) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
4.0ms	z	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (* (* (* y y) z) -1/2) (* (* y y) z) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* 1/2 (+ (* (neg z) (* (/ y (- x (* (sqrt z) y))) y)) (* (/ x (- x (* (sqrt z) y))) x))) (+ (* (neg z) (* (/ y (- x (* (sqrt z) y))) y)) (* (/ x (- x (* (sqrt z) y))) x)) (neg z) (* (/ y (- x (* (sqrt z) y))) y) (sqrt (/ 1 z)) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
4.0ms	y	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (* (* (* y y) z) -1/2) (* (* y y) z) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* 1/2 (+ (* (neg z) (* (/ y (- x (* (sqrt z) y))) y)) (* (/ x (- x (* (sqrt z) y))) x))) (+ (* (neg z) (* (/ y (- x (* (sqrt z) y))) y)) (* (/ x (- x (* (sqrt z) y))) x)) (neg z) (* (/ y (- x (* (sqrt z) y))) y) (sqrt (/ 1 z)) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))
3.0ms	x	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (* (* (* y y) z) -1/2) (* (* y y) z) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* 1/2 (+ (* (neg z) (* (/ y (- x (* (sqrt z) y))) y)) (* (/ x (- x (* (sqrt z) y))) x))) (+ (* (neg z) (* (/ y (- x (* (sqrt z) y))) y)) (* (/ x (- x (* (sqrt z) y))) x)) (neg z) (* (/ y (- x (* (sqrt z) y))) y) (sqrt (/ 1 z)) (/ y (- x (* (sqrt z) y))) (/ x (- x (* (sqrt z) y))))

simplify338.0ms (5.9%)

Memory

-127.7MiB live, 188.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	749	3707
1	2530	3241
0	8608	3090

Stop Event

1×	iter limit
1×	node limit

Counts

158 → 157

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

rewrite237.0ms (4.2%)

Memory

12.5MiB live, 328.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	270
0	72	242
1	241	230
2	1552	220
0	9068	207

Stop Event

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

Counts

23 → 914

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x))) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (*.f64 x x)) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (*.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y y) z) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) (/.f64 (fma.f64 x x (.f64 (.f64 y y) z)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) (pow.f64 (/.f64 (.f64 (.f64 y y) z) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal 2 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 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (.f64 x 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 x (fma.f64 (neg.f64 y) (sqrt.f64 z) x) (.f64 (.f64 y y) 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 (sqrt.f64 z) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))) (pow.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (*.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y y) z) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) (/.f64 (fma.f64 x x (.f64 (.f64 y y) z)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) (pow.f64 (/.f64 (.f64 (.f64 y y) z) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 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)))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 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)))) (pow.f64 (fma.f64 x (fma.f64 (neg.f64 y) (sqrt.f64 z) x) (.f64 (.f64 y y) z)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (.f64 y y) (fma.f64 (neg.f64 y) (sqrt.f64 z) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (.f64 y y) (fma.f64 (neg.f64 y) (sqrt.f64 z) x))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (.f64 y y) (fma.f64 (neg.f64 y) (sqrt.f64 z) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (.f64 y y) (fma.f64 (neg.f64 y) (sqrt.f64 z) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (neg.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 (sqrt.f64 z) y x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (.f64 y y) (fma.f64 (neg.f64 y) (sqrt.f64 z) x))) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (.f64 y y) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))))
(/.f64 (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 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) (*.f64 x #s(literal 1/2 binary64))))))
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(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 z))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(fabs.f64 (pow.f64 z #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)))
(.f64 (/.f64 y (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) #s(literal -1 binary64)))
(.f64 (/.f64 y (fma.f64 (.f64 (neg.f64 z) y) y (*.f64 x x))) (fma.f64 (sqrt.f64 z) y x))
(.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y x) (.f64 x x)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) y))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(*.f64 y (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(pow.f64 (/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) y) #s(literal -1 binary64))
(/.f64 (/.f64 y (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x))) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) y)))
(/.f64 y (fma.f64 (neg.f64 y) (sqrt.f64 z) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) y))
(neg.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y))) (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) y)) #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 (neg.f64 z) y) y (*.f64 x x))) (fma.f64 (sqrt.f64 z) y x))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y x) (.f64 x x)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) x))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(*.f64 x (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(pow.f64 (/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) x) #s(literal -1 binary64))
(/.f64 (/.f64 x (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x))) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) x)))
(/.f64 x (fma.f64 (neg.f64 y) (sqrt.f64 z) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 z) x) x))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y))) (/.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))
(exp.f64 (.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal -1 binary64)))

eval186.0ms (3.3%)

Memory: -9.5MiB live, 229.8MiB allocated
Compiler: Compiled 33 414 to 3 900 computations (88.3% saved)

prune24.0ms (0.4%)

Memory

10.5MiB live, 49.3MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	911	4	915
Fresh	3	0	3
Picked	3	2	5
Done	0	3	3
Total	917	9	926

Accuracy

100.0%

Counts

926 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	43.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 z y) (sqrt.f64 z))))
▶	43.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
✓	49.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
▶	43.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)))
▶	99.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)))
✓	93.2%	#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)))
✓	51.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 142 to 118 computations (16.9% saved)

simplify8.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	236
0	52	236
1	76	236
2	94	236
3	115	236
4	130	236
5	135	236
6	141	236
0	141	225

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize126.0ms (2.2%)

Memory

-40.0MiB live, 96.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 z y) (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	7.423049669573795	(/.f64 (*.f64 z y) (sqrt.f64 z))
accuracy	32.087189438260985	#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 z y) (sqrt.f64 z)))
accuracy	0	(sqrt.f64 z)
accuracy	0.23046875	(/.f64 y (sqrt.f64 z))
accuracy	7.931718407551763	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	32.087189438260985	#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))
accuracy	0.140625	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.21484375	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
accuracy	9.844714190294876	(.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)
accuracy	30.932623834028846	#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
accuracy	0	(sqrt.f64 z)
accuracy	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)))
accuracy	0.109375	(fma.f64 (/.f64 z (sqrt.f64 z)) y x)
accuracy	0.48046875	(/.f64 z (sqrt.f64 z))

Samples

101.0ms

256×

valid

Compiler

Compiled 388 to 65 computations (83.2% saved)

Precisions

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

ival-mult: 45.0ms (73.1% of total)

ival-div: 9.0ms (14.6% of total)

ival-add: 3.0ms (4.9% of total)

ival-sqrt: 3.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

30.8MiB live, 30.8MiB allocated

Counts

19 → 40

Calls

Call 1

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

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

Calls

9 calls:

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

simplify117.0ms (2.1%)

Memory

-6.2MiB live, 151.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	322
1	367	301
2	1226	297
3	3366	283
4	6989	283
0	8027	260

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

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

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

rewrite161.0ms (2.8%)

Memory

-12.8MiB live, 176.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	215
0	52	195
1	145	194
2	1013	169
0	8935	169

Stop Event

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

Counts

19 → 356

Calls

Call 1

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

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

eval40.0ms (0.7%)

Memory: 18.3MiB live, 55.9MiB allocated
Compiler: Compiled 7 686 to 1 200 computations (84.4% saved)

prune41.0ms (0.7%)

Memory

-10.6MiB live, 28.1MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	287	0	287
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	287	9	296

Accuracy

100.0%

Counts

296 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	43.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 z y) (sqrt.f64 z))))
✓	43.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
✓	49.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	43.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)))
✓	99.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)))
✓	93.2%	#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)))
✓	51.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 536 to 239 computations (55.4% saved)

regimes121.0ms (2.1%)

Memory

18.8MiB live, 63.2MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

81.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
6.0ms	(sqrt.f64 z)
6.0ms	(*.f64 y (sqrt.f64 z))
6.0ms	z
6.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes30.0ms (0.5%)

Memory

-10.5MiB live, 26.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

7 calls:

18.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
74.2%	3	`x`
79.7%	3	`y`
59.2%	2	`z`
63.6%	7	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
63.6%	7	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
78.2%	3	`(*.f64 y (sqrt.f64 z))`
59.2%	2	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes45.0ms (0.8%)

Memory

-12.3MiB live, 25.9MiB 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:

37.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	y
1.0ms	(*.f64 y (sqrt.f64 z))
1.0ms	(sqrt.f64 z)

Results

Accuracy	Segments	Branch
51.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
51.3%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
51.3%	1	`z`
51.3%	1	`(sqrt.f64 z)`
51.3%	1	`x`
51.3%	1	`(*.f64 y (sqrt.f64 z))`
51.3%	1	`y`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch23.0ms (0.4%)

Memory

0.4MiB live, 38.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.6590094364848126e+61	9.403081588819918e+61
11.0ms	-4.1574229944188474e-13	-1.6551015470789323e-14

Samples

12.0ms

208×

valid

Compiler

Compiled 416 to 406 computations (2.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 2.0ms (29.3% of total)

ival-sqrt: 2.0ms (29.3% of total)

ival-div: 1.0ms (14.7% of total)

ival-add: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify56.0ms (1%)

Memory

8.5MiB live, 60.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	69
1	32	69

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -6813621976226733/79228162514264337593543950336 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 y #s(literal 28000000000000001437335173729992290391553999207365754811842560 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))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(if (<=.f64 y #s(literal -6813621976226733/79228162514264337593543950336 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 y #s(literal 28000000000000001437335173729992290391553999207365754811842560 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
(if (<=.f64 y #s(literal -6813621976226733/79228162514264337593543950336 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 28000000000000001437335173729992290391553999207365754811842560 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 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

soundness361.0ms (6.4%)

Memory

-0.9MiB live, 228.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 125 to 57 computations (54.4% saved)

preprocess23.0ms (0.4%)

Memory: -5.7MiB live, 31.7MiB allocated
Compiler: Compiled 174 to 70 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze55.0ms (1%)

sample1.1s (19.2%)

explain148.0ms (2.6%)

preprocess73.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize31.0ms (0.5%)

series7.0ms (0.1%)

simplify134.0ms (2.4%)

rewrite211.0ms (3.7%)

eval43.0ms (0.8%)

prune9.0ms (0.2%)

simplify232.0ms (4.1%)

localize106.0ms (1.9%)

series108.0ms (1.9%)

simplify201.0ms (3.5%)

rewrite251.0ms (4.4%)

eval646.0ms (11.4%)

prune66.0ms (1.2%)

simplify151.0ms (2.7%)

localize124.0ms (2.2%)

series42.0ms (0.7%)

simplify338.0ms (5.9%)

rewrite237.0ms (4.2%)

eval186.0ms (3.3%)

prune24.0ms (0.4%)

simplify8.0ms (0.1%)

localize126.0ms (2.2%)

series15.0ms (0.3%)

simplify117.0ms (2.1%)

rewrite161.0ms (2.8%)

eval40.0ms (0.7%)

prune41.0ms (0.7%)

regimes121.0ms (2.1%)

regimes30.0ms (0.5%)

regimes45.0ms (0.8%)

bsearch23.0ms (0.4%)

simplify56.0ms (1%)

soundness361.0ms (6.4%)

preprocess23.0ms (0.4%)

end0.0ms (0%)

Profiling