Metrics for Diagrams.TwoD.Apollonian:descartes from diagrams-contrib-1.3.0.5

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze253.0ms (2.7%)

Memory

-4.4MiB live, 250.1MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
26.2%	25%	70.2%	0.1%	0%	4.7%	0%	9
28.9%	25%	61.4%	0.1%	0%	13.5%	0%	10
31.2%	26.3%	58%	0.1%	0%	15.5%	0%	11
37.2%	28.9%	48.7%	0.1%	0%	22.3%	0%	12

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.9s (20.9%)

Memory

28.2MiB live, 1 695.9MiB allocated

Samples

783.0ms	8 256×	0	valid
472.0ms	4 532×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 791.0ms

ival-mult: 490.0ms (61.9% of total)

ival-sqrt: 145.0ms (18.3% of total)

ival-add: 131.0ms (16.6% of total)

ival-true: 10.0ms (1.3% of total)

exact: 8.0ms (1% of total)

ival-assert: 6.0ms (0.8% of total)

Bogosity

explain180.0ms (1.9%)

Memory

-22.8MiB live, 208.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
76	-	1	(5.459775966557466e-278 -4.016575668739919e-186 -1.1502428549929152e-127)	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
4	-	0	-	`(+.f64 (.f64 x y) (.f64 x z))`
3	-	0	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x z)`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y z)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	oflow-rescue	68	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	overflow	68
↳	`(*.f64 y z)`	overflow	23
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	54
↳	`(*.f64 x z)`	overflow	30
↳	`(*.f64 x y)`	overflow	33
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	uflow-rescue	7	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	underflow	7
↳	`(*.f64 y z)`	underflow	27
↳	`(+.f64 (.f64 x y) (.f64 x z))`	underflow	12
↳	`(*.f64 x z)`	underflow	38
↳	`(*.f64 x y)`	underflow	29
`+.f64`	`(+.f64 (.f64 x y) (.f64 x z))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	33
↳	`(*.f64 x z)`	overflow	30
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	nan-rescue	3	0
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	54
↳	`(*.f64 x z)`	overflow	30
↳	`(*.f64 x y)`	overflow	33
↳	`(*.f64 y z)`	overflow	23

Confusion

	Predicted +	Predicted -
+	75	1
-	0	180

Precision

1.0

Recall

0.9868421052631579

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	75	0	1
-	0	0	180

Precision?

1.0

Recall?

0.9868421052631579

Freqs

test

number	freq
0	181
1	68
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 189 to 48 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 17.0ms (65.1% of total)

ival-add: 4.0ms (15.3% of total)

ival-sqrt: 4.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess124.0ms (1.3%)

Memory

-8.1MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	118
1	133	112
2	237	108
3	446	108
4	929	108
5	1336	108
6	1729	108
7	1794	108
8	1806	108
0	11	14
0	18	12
1	28	12
2	40	12
3	49	12
4	50	12
0	50	11

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y z)

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify4.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
cost-diff	128	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
cost-diff	320	(+.f64 (.f64 x y) (.f64 x z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
0	18	49
1	28	49
2	40	49
3	49	49
4	50	49
0	50	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.3%)

Memory

2.7MiB live, 40.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
accuracy	0.6171875000000001	(+.f64 (.f64 x y) (.f64 x z))
accuracy	1.0039062500000002	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
accuracy	17.785960268900944	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Samples

23.0ms

256×

valid

Compiler

Compiled 116 to 24 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 10.0ms (69.9% of total)

ival-add: 2.0ms (14% of total)

ival-sqrt: 2.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.5%)

Memory

18.4MiB live, 55.4MiB allocated

Counts

4 → 95

Calls

Call 1

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

Outputs
(* x (+ y z))
(* y z)
(+ (* x (+ y z)) (* y z))
(* 2 (sqrt (* y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(sqrt (* y z))
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z))))))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(* x (+ y (+ z (/ (* y z) x))))
(* 2 (sqrt (* x (+ y z))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(sqrt (* x (+ y z)))
(* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))))
(* x z)
(+ (* x y) (* x z))
(+ (* x z) (* y (+ x z)))
(* 2 (sqrt (* x z)))
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(sqrt (* x z))
(+ (sqrt (* x z)) (* 1/2 (* (sqrt (/ 1 (* x z))) (* y (+ x z)))))
(+ (sqrt (* x z)) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))))))
(+ (sqrt (* x z)) (* y (+ (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))))))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x z))
(* y (+ x (+ z (/ (* x z) y))))
(* 2 (sqrt (* y (+ x z))))
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(sqrt (* y (+ x z)))
(* y (+ (sqrt (/ (+ x z) y)) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -2 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))))
(* -1 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(* -1 (* y (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))))
(+ (* x y) (* z (+ x y)))
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(sqrt (* x y))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(* z (+ x (/ (* x y) z)))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* 2 (sqrt (* z (+ x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(sqrt (* z (+ x y)))
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	y	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	x	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	z	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	x	@	inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
2.0ms	y	@	inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))

simplify226.0ms (2.4%)

Memory

-9.0MiB live, 256.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	3060
1	1684	2998
2	6236	2955
0	8106	2838

Stop Event

1×	iter limit
1×	node limit

Counts

95 → 95

Calls

Call 1

Inputs
(* x (+ y z))
(* y z)
(+ (* x (+ y z)) (* y z))
(* 2 (sqrt (* y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(sqrt (* y z))
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z))))))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(* x (+ y (+ z (/ (* y z) x))))
(* 2 (sqrt (* x (+ y z))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(sqrt (* x (+ y z)))
(* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))))
(* x z)
(+ (* x y) (* x z))
(+ (* x z) (* y (+ x z)))
(* 2 (sqrt (* x z)))
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(sqrt (* x z))
(+ (sqrt (* x z)) (* 1/2 (* (sqrt (/ 1 (* x z))) (* y (+ x z)))))
(+ (sqrt (* x z)) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))))))
(+ (sqrt (* x z)) (* y (+ (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))))))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x z))
(* y (+ x (+ z (/ (* x z) y))))
(* 2 (sqrt (* y (+ x z))))
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(sqrt (* y (+ x z)))
(* y (+ (sqrt (/ (+ x z) y)) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -2 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))))
(* -1 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(* -1 (* y (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))))
(+ (* x y) (* z (+ x y)))
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(sqrt (* x y))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(* z (+ x (/ (* x y) z)))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* 2 (sqrt (* z (+ x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(sqrt (* z (+ x y)))
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))

Outputs
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* y z)
(*.f64 z y)
(+ (* x (+ y z)) (* y z))
(fma.f64 (+.f64 z x) y (*.f64 z x))
(* 2 (sqrt (* y z)))
(.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64)))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y))) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64)))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64)))))) x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y))) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64)))
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) (sqrt.f64 (.f64 z y)))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))))) x (sqrt.f64 (.f64 z y)))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64)))))) x (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))))) x (sqrt.f64 (.f64 z y)))
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(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))))
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(* -1 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
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(* -1 (* y (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))
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(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))
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(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))))
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(sqrt (* x y))
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(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
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(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
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(* z (+ x (/ (* x y) z)))
(*.f64 (fma.f64 (/.f64 y z) x x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x (+ y (/ (* x y) z))))
(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)
(* 2 (sqrt (* z (+ x y))))
(.f64 (sqrt.f64 (.f64 (+.f64 y x) z)) #s(literal 2 binary64))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
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(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 5 binary64))) (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))))) z)
(sqrt (* z (+ x y)))
(sqrt.f64 (*.f64 (+.f64 y x) z))
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(.f64 (fma.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (+.f64 y x) z))) z)
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 x x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) z)
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 5 binary64))) (pow.f64 z #s(literal 7 binary64)))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 x x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))))) (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (fma.f64 (/.f64 y z) x x) z)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (+.f64 y x) z)
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 (neg.f64 x) y) z)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) #s(literal 2 binary64)))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64))))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y) x) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) #s(literal 2 binary64))))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
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(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 (neg.f64 x) y) z)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (.f64 x x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 5 binary64))) (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (.f64 x x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 z))

rewrite290.0ms (3.1%)

Memory

-33.1MiB live, 276.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	18	36
1	55	36
2	435	36
3	6667	36
0	8469	33

Stop Event

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

Counts

4 → 228

Calls

Call 1

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

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

eval41.0ms (0.4%)

Memory: 27.1MiB live, 101.2MiB allocated
Compiler: Compiled 11 438 to 1 656 computations (85.5% saved)

prune25.0ms (0.3%)

Memory

-3.6MiB live, 78.9MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	291	22	313
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	292	22	314

Accuracy

84.9%

Counts

314 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.2%	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
	71.8%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	44.7%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64)))
	71.6%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
	71.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
	50.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) x) (/.f64 x (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))))
	51.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (.f64 y z))))
	45.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (.f64 y z))))
	45.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))))
	70.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (.f64 (fma.f64 z (-.f64 x y) (.f64 y x)) (pow.f64 (fma.f64 z (-.f64 x y) (.f64 y x)) #s(literal -1 binary64))))))
	52.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
▶	57.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z))))
	37.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	36.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
	37.6%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 (+.f64 z y) x))))
	3.2%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 z x))))
▶	36.2%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
	36.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))))
	3.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
▶	36.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))))
	33.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
▶	41.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))

Compiler

Compiled 1 094 to 724 computations (33.8% saved)

simplify247.0ms (2.7%)

Memory

3.8MiB live, 123.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z))))
cost-diff	704	(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	(sqrt.f64 (*.f64 y x))
cost-diff	0	#s(approx (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x)))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
cost-diff	0	(+.f64 y x)
cost-diff	0	(fma.f64 (+.f64 y x) z (*.f64 y x))
cost-diff	0	(sqrt.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	44	421
0	75	405
1	123	398
2	204	398
3	358	398
4	544	398
5	624	392
6	818	392
7	1028	392
8	2155	392
9	3025	392
10	3421	392
11	3990	392
12	4301	392
13	4717	392
14	5308	392
15	5773	392
16	6302	392
17	6542	392
18	6672	392
19	6801	392
20	6963	392
21	7137	392
22	7348	392
23	7570	392
24	7835	392
0	8003	392

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1.3%)

Memory

-0.1MiB live, 235.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.027050340757415	(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)
accuracy	8.718480151596182	(sqrt.f64 (/.f64 (+.f64 y x) z))
accuracy	8.747558571111204	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
accuracy	15.343364988180573	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
accuracy	0.125	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x))
accuracy	7.0268395905009005	(sqrt.f64 (*.f64 y x))
accuracy	7.362590470156064	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	12.665045523604698	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))))
accuracy	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z))
accuracy	0.03515625	(fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y)
accuracy	5.1915980893073765	(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)
accuracy	7.35224182767353	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)))
accuracy	0	(*.f64 y x)
accuracy	0	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
accuracy	7.0268395905009005	(sqrt.f64 (*.f64 y x))
accuracy	13.059700361393244	#s(approx (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x)))
accuracy	0	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.015625	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	7.35224182767353	(sqrt.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)))

Samples

46.0ms	141×	0	invalid
36.0ms	115×	0	valid

Compiler

Compiled 765 to 88 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 27.0ms (45.6% of total)

ival-div: 10.0ms (16.9% of total)

ival-sqrt: 10.0ms (16.9% of total)

ival-add: 9.0ms (15.2% of total)

ival-pow: 4.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series141.0ms (1.5%)

Memory

-17.4MiB live, 143.6MiB allocated

Counts

22 → 257

Calls

Call 1

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

Outputs
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(* y (+ (* -1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 5) (pow z 3)))))) (+ (* 2 (sqrt (/ 1 (* y z)))) (+ (* x (sqrt (/ 1 (* y (pow z 3))))) (* x (sqrt (/ 1 (* (pow y 3) z)))))))))
(* y (+ (* -1/2 (* (* x (+ (* 1/4 (/ (* (pow x 2) y) (pow z 3))) (/ (pow x 3) (pow z 3)))) (sqrt (/ (pow z 3) (pow y 7))))) (+ (* -1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* -1/4 (* (pow x 2) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 5) (pow z 3)))))) (+ (* 2 (sqrt (/ 1 (* y z)))) (+ (* x (sqrt (/ 1 (* y (pow z 3))))) (* x (sqrt (/ 1 (* (pow y 3) z)))))))))))
(+ (sqrt (/ 1 (* y (pow z 3)))) (+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 5) (pow z 3))))))))
(+ (sqrt (/ 1 (* y (pow z 3)))) (+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* -1/2 (* (sqrt (/ (pow z 3) (pow y 7))) (+ (* 1/4 (/ (* (pow x 2) y) (pow z 3))) (/ (pow x 3) (pow z 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 5) (pow z 3)))))))))
(* y (+ 1 (/ x z)))
(* y (+ 1 (+ (/ x y) (/ x z))))
(* y (+ (sqrt (/ 1 (* y z))) (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z)))))))
(* y (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* (pow y 5) z))))) (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z))))))))
(* y (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (* (pow y 7) z))))) (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z)))))))))
(* -2 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))))
(* -1 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(* -1 (* y (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (* z (- (* -1 (/ x z)) 1))))
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* z (- (* -1 (/ x z)) 1)))))
(* -1 (* y (+ (* -1 (* (sqrt (/ 1 (* x y))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ x y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1 (* (sqrt (/ 1 (* x y))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ x (pow y 3))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))))
(* (sqrt (/ y x)) (pow (sqrt -1) 2))
(* -1 (* y (+ (* -1 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))))))
(* -1 (* y (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))))
(* -1 (* y (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2)))))
(* -1 (* y (+ (* -1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))) (sqrt (* y (pow z 3))))))) y)) (* 1/2 (* (pow x 3) (sqrt (/ y z))))) (pow y 3))) (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2))))))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z)))))))))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* -1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 5) (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z))))))))))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))) (sqrt (* y (pow z 3)))))) y)) (* 1/2 (* (pow x 3) (sqrt (/ y (pow z 3)))))) (pow y 3))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z))))))))))
(* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2))
(+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 5) (pow z 3)))))) (* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* 1/2 (* (sqrt (/ (pow z 3) y)) (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))))) (pow y 3))) (+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2))))
(* -1 (* y (- (* -1 (/ x z)) 1)))
(* -1 (* y (- (+ (* -1 (/ x y)) (* -1 (/ x z))) 1)))
(* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) z))))) (+ (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))))
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(+ (* x y) (* z (+ x y)))
(* (* x y) (sqrt (/ 1 (* z (+ x y)))))
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) z)
(* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) (pow z 2))
(sqrt (/ 1 (* (pow z 3) (+ x y))))
(/ (* x y) z)
(/ (+ (* x y) (* z (+ x y))) z)
(sqrt (/ (+ x y) z))
(* 2 (sqrt (* z (+ x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(sqrt (* z (+ x y)))
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* (sqrt (/ 1 (* x y))) (* z (+ x y)))
(* z (+ (* 2 (* (sqrt (* x y)) (/ 1 z))) (* (sqrt (/ 1 (* x y))) (+ x y))))
(* 2 (sqrt (/ (+ x y) z)))
(+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))
(+ x (+ y (/ (* x y) z)))
(* -2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* -1 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ (* -2 (* (sqrt (* x y)) (/ 1 z))) (* -1 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(* 2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(+ (* -1 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ 1 (* (pow z 3) (+ x y)))) (pow (sqrt -1) 2)))
(* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))

Calls

9 calls:

Time	Variable		Point	Expression
56.0ms	y	@	0	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* y x)) (* y x) (* (+ (* (+ (/ y z) 1) x) y) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (* (sqrt (/ 1 (* y x))) (+ y x)) (sqrt (/ 1 (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (+ (* (+ (/ y z) 1) x) y) (sqrt (/ (+ y x) z)))
20.0ms	x	@	inf	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* y x)) (* y x) (* (+ (* (+ (/ y z) 1) x) y) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (* (sqrt (/ 1 (* y x))) (+ y x)) (sqrt (/ 1 (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (+ (* (+ (/ y z) 1) x) y) (sqrt (/ (+ y x) z)))
12.0ms	z	@	0	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* y x)) (* y x) (* (+ (* (+ (/ y z) 1) x) y) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (* (sqrt (/ 1 (* y x))) (+ y x)) (sqrt (/ 1 (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (+ (* (+ (/ y z) 1) x) y) (sqrt (/ (+ y x) z)))
11.0ms	y	@	inf	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* y x)) (* y x) (* (+ (* (+ (/ y z) 1) x) y) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (* (sqrt (/ 1 (* y x))) (+ y x)) (sqrt (/ 1 (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (+ (* (+ (/ y z) 1) x) y) (sqrt (/ (+ y x) z)))
9.0ms	x	@	-inf	((* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* y x)) (* y x) (* (+ (* (+ (/ y z) 1) x) y) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (* (sqrt (/ 1 (* y x))) (+ y x)) (sqrt (/ 1 (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (+ (* (+ (/ y z) 1) x) y) (sqrt (/ (+ y x) z)))

simplify256.0ms (2.8%)

Memory

11.2MiB live, 289.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1249	8740
1	4254	8266
2	7895	8266
0	8483	7930

Stop Event

1×	iter limit
1×	node limit

Counts

257 → 255

Calls

Call 1

Inputs
(* 2 (sqrt (* y z)))
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(* y z)
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y
(+ x y)
(sqrt (* x y))
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(* -2 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
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(* -1 (* y (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2)))))
(* -1 (* y (+ (* -1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))) (sqrt (* y (pow z 3))))))) y)) (* 1/2 (* (pow x 3) (sqrt (/ y z))))) (pow y 3))) (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2))))))
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(* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2))
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(* -1 (* y (- (+ (* -1 (/ x y)) (* -1 (/ x z))) 1)))
(* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 2)))
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(* 2 (sqrt (* x y)))
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(+ (* x y) (* z (+ x y)))
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(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) z)
(* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))
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(/ (* x y) z)
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(sqrt (* z (+ x y)))
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(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* z (+ x y))
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(* -2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* -1 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
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(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
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(* -1 (* z (+ (* -2 (* (sqrt (* x y)) (/ 1 z))) (* -1 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(* 2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(+ (* -1 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ 1 (* (pow z 3) (+ x y)))) (pow (sqrt -1) 2)))
(* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))

Outputs
(* 2 (sqrt (* y z)))
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(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
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(* y z)
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(fma.f64 (+.f64 x y) z (*.f64 x y))
y
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(sqrt (* x y))
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(* x y)
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(* (sqrt (/ y x)) z)
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(/ (+ (* x (+ (* 2 (sqrt (* x y))) (* (sqrt (/ x y)) z))) (* (sqrt (* x y)) z)) x)
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(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (.f64 (.f64 x x) (.f64 y y))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) z)
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 5 binary64))) (pow.f64 z #s(literal 7 binary64)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x (+ y (/ (* x y) z))))
(*.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y x) z)
(* (sqrt (/ 1 (* x y))) (* z (+ x y)))
(.f64 (.f64 (+.f64 x y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(* z (+ (* 2 (* (sqrt (* x y)) (/ 1 z))) (* (sqrt (/ 1 (* x y))) (+ x y))))
(.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (+.f64 x y))) z)
(* 2 (sqrt (/ (+ x y) z)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 x y)))
(+ x (+ y (/ (* x y) z)))
(fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y x)
(* -2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x y) z))) #s(literal -2 binary64))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 x y))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 y (/.f64 y #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64))))) #s(literal -1/4 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 x y)))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 y (/.f64 y #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64))))) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 5 binary64))) (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 x y))))) (neg.f64 z))
(* -1 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) #s(literal 1 binary64))
(* -1 (* z (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 y (/.f64 y #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 y (/.f64 y #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 5 binary64))) (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) (neg.f64 z))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y x)) (neg.f64 z))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 (*.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 5 binary64))) (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))) (neg.f64 z))
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 (neg.f64 x) y) z)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)) (.f64 x x))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 5 binary64))) (pow.f64 z #s(literal 7 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 z))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (-.f64 (neg.f64 x) y) (neg.f64 z))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y x)) (neg.f64 z))
(* -1 (* z (+ (* -2 (* (sqrt (* x y)) (/ 1 z))) (* -1 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(.f64 (fma.f64 (-.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal -2 binary64))) (neg.f64 z))
(* 2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x y) z))) #s(literal 2 binary64))
(* -1 (* z (+ (* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal -2 binary64) (.f64 (.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))))) (neg.f64 z))
(* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ (* -1 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64))))))
(* -1 (* (sqrt (/ 1 (* (pow z 3) (+ x y)))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64))
(* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64))

rewrite200.0ms (2.2%)

Memory

15.8MiB live, 245.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	330
0	75	316
1	279	294
2	1974	294
0	8148	294

Stop Event

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

Counts

22 → 563

Calls

Call 1

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

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

eval554.0ms (6%)

Memory: -0.3MiB live, 243.8MiB allocated
Compiler: Compiled 45 876 to 5 252 computations (88.6% saved)

prune124.0ms (1.3%)

Memory

10.1MiB live, 88.8MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1 028	22	1 050
Fresh	10	7	17
Picked	3	2	5
Done	0	0	0
Total	1 041	31	1 072

Accuracy

87.1%

Counts

1 072 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.2%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (.f64 (-.f64 y x) (-.f64 y x))) z (*.f64 y x))) #s(literal 2 binary64))
✓	72.2%	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
	50.8%	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (.f64 y y)))) z (*.f64 y x))) #s(literal 2 binary64))
	57.2%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x))) #s(literal 2 binary64))
	37.6%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 z y) x))) #s(literal 2 binary64))
	37.8%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))
	36.8%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
▶	3.2%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
	71.6%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
▶	71.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
	50.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) x) (/.f64 x (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))))
	51.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (.f64 y z))))
	45.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))))
	70.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (.f64 (fma.f64 z (-.f64 x y) (.f64 y x)) (pow.f64 (fma.f64 z (-.f64 x y) (.f64 y x)) #s(literal -1 binary64))))))
▶	16.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ y z) 1) x) y) (*.f64 (/.f64 x z) y)) z))))
	46.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ (* (+ (/ y z) 1) x) y) z) (.f64 (.f64 (neg.f64 z) y) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)))))))
	36.0%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	36.2%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
	33.0%	#s(approx (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
	3.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	34.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 x y) (sqrt.f64 (.f64 x y))) z (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 x y)))) (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) (sqrt.f64 (.f64 x y))) z) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 x y))))))
	40.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (pow.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) z))
	46.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z))
▶	1.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
	32.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) #s(literal 2 binary64))) y)) z))
	2.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
	45.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z))
	44.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64))))) z))
▶	27.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (+.f64 x y))) z)))
	3.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (*.f64 (sqrt.f64 (/.f64 x y)) z)))

Compiler

Compiled 2 082 to 1 351 computations (35.1% saved)

simplify217.0ms (2.4%)

Memory

2.5MiB live, 86.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
cost-diff	0	(fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))
cost-diff	0	#s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (+.f64 x y))) z))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (+.f64 x y))) z)))
cost-diff	704	(.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (+.f64 x y))) z)
cost-diff	0	(.f64 #s(approx (+ ( (+ (/ y z) 1) x) y) (*.f64 (/.f64 x z) y)) z)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ y z) 1) x) y) (*.f64 (/.f64 x z) y)) z))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ y z) 1) x) y) (*.f64 (/.f64 x z) y)) z)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ y z) 1) x) y) (*.f64 (/.f64 x z) y)) z))))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x))
cost-diff	0	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	660
0	113	638
1	200	633
2	318	633
3	570	633
4	725	630
5	981	630
6	1142	630
7	1459	630
8	2062	630
9	3061	630
10	3745	630
11	4150	630
12	4417	630
13	4793	630
14	5370	630
15	6180	630
16	6562	630
17	6705	630
18	6768	630
19	6834	630
20	6901	630
21	7894	630
0	8006	617

Stop Event

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

Calls

Call 1

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

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

localize256.0ms (2.8%)

Memory

-4.2MiB live, 226.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.476841143323763	(sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))
accuracy	13.627961394776108	(sqrt.f64 (/.f64 x z))
accuracy	15.343364988180573	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
accuracy	27.80808290676693	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))))
accuracy	4.633507102603588	(.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (+.f64 x y))) z)
accuracy	7.0268395905009005	(sqrt.f64 (*.f64 x y))
accuracy	7.362590470156064	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))
accuracy	12.665045523604698	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (+.f64 x y))) z)))
accuracy	2.564226169440672	(*.f64 (/.f64 x z) y)
accuracy	5.1915980893073765	(.f64 #s(approx (+ ( (+ (/ y z) 1) x) y) (*.f64 (/.f64 x z) y)) z)
accuracy	7.35224182767353	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ y z) 1) x) y) (*.f64 (/.f64 x z) y)) z)))
accuracy	13.18031896298869	#s(approx (+ (* (+ (/ y z) 1) x) y) (*.f64 (/.f64 x z) y))
accuracy	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
accuracy	0	(*.f64 z x)
accuracy	7.35224182767353	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))
accuracy	25.497532297747142	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x))
accuracy	0.015625	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	0.08984375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))
accuracy	0.2378867208686372	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	7.35224182767353	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))

Samples

99.0ms	115×	0	valid
81.0ms	141×	0	invalid

Compiler

Compiled 1 104 to 149 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-div: 46.0ms (29.8% of total)

ival-sqrt: 45.0ms (29.2% of total)

ival-mult: 34.0ms (22.1% of total)

ival-add: 24.0ms (15.6% of total)

ival-pow: 4.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series76.0ms (0.8%)

Memory

0.9MiB live, 94.0MiB allocated

Counts

27 → 277

Calls

Call 1

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

Outputs
(* y z)
(+ (* x (+ y z)) (* y z))
(* 2 (sqrt (* y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(sqrt (* y z))
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z))))))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(/ 1 (* y z))
(+ (* -1 (* x (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (/ 1 (* y z)))
(+ (* x (- (/ (* x (* (+ y z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (* y z)) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (/ 1 (* y z)))
(+ (* x (- (* x (- (* -1 (/ (* x (* (pow (+ y z) 2) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (* (pow y 2) (pow z 2)))) (* -1 (/ (* (+ y z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z)))) (* y z))))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (/ 1 (* y z)))
(* x z)
(+ (* x (* z (+ 1 (/ y z)))) (* y z))
(* (sqrt (/ y x)) z)
(/ (+ (* x (* z (+ (sqrt (/ x y)) (* 2 (* (sqrt (* x y)) (/ 1 z)))))) (* (sqrt (* x y)) z)) x)
(/ (+ (* x (+ (* 2 (sqrt (* x y))) (* (sqrt (/ x y)) z))) (* (sqrt (* x y)) z)) x)
(sqrt (/ y x))
(/ (+ (sqrt (* x y)) (* x (+ (sqrt (/ x y)) (* 2 (* (sqrt (* x y)) (/ 1 z)))))) x)
(+ (* 2 (sqrt (* y z))) (* x (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3)))))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (* z (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z))))))) (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* x (* z (+ (* 1/8 (sqrt (/ 1 (* (pow y 5) z)))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 3)))))))) (* z (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z)))))))) (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))))
(* 2 (sqrt (/ y z)))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (+ (sqrt (/ y (pow z 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z))))))))))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (+ (sqrt (/ y (pow z 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (+ (* -1/4 (sqrt (/ 1 (* (pow y 3) z)))) (* x (+ (* 1/8 (sqrt (/ 1 (* (pow y 5) z)))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 3))))))))))))))
(* (sqrt (/ 1 (* x z))) y)
(/ (+ (* x (+ (* 2 (sqrt (/ x z))) (* (sqrt (/ x (pow z 3))) y))) (* (sqrt (/ x z)) y)) x)
y
(+ y (* x (+ 1 (/ y z))))
(/ (* x y) z)
(sqrt (/ 1 (* x y)))
(sqrt (* x y))
(sqrt (/ x z))
(sqrt (/ x (pow z 3)))
(* x (+ y z))
(* x (+ y (+ z (/ (* y z) x))))
(* 2 (sqrt (* x (+ y z))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(sqrt (* x (+ y z)))
(* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(/ 1 (* x (+ y z)))
(/ (+ (* -1 (/ (* y z) (* x (pow (+ y z) 2)))) (/ 1 (+ y z))) x)
(/ (- (+ (/ 1 (+ y z)) (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (+ y z) 3)))) (/ (* y z) (* x (pow (+ y z) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow y 3) (pow z 3)) (* (pow x 3) (pow (+ y z) 4)))) (/ 1 (+ y z))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (+ y z) 3)))) (/ (* y z) (* x (pow (+ y z) 2))))) x)
(* x (* z (+ 1 (/ y z))))
(* x (+ (* z (+ 1 (/ y z))) (/ (* y z) x)))
(* x (* z (+ (sqrt (/ 1 (* x y))) (* 2 (* (sqrt (/ y x)) (/ 1 z))))))
(* x (+ (* z (+ (sqrt (/ 1 (* x y))) (* 2 (* (sqrt (/ y x)) (/ 1 z))))) (* (sqrt (/ y (pow x 3))) z)))
(* x (+ (* 2 (sqrt (/ y x))) (* (sqrt (/ 1 (* x y))) z)))
(* x (+ (* 2 (sqrt (/ y x))) (+ (* (sqrt (/ 1 (* x y))) z) (* (sqrt (/ y (pow x 3))) z))))
(* x (+ (sqrt (/ 1 (* x y))) (* 2 (* (sqrt (/ y x)) (/ 1 z)))))
(* x (+ (sqrt (/ 1 (* x y))) (+ (sqrt (/ y (pow x 3))) (* 2 (* (sqrt (/ y x)) (/ 1 z))))))
(* x (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))))
(* x (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))
(* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))
(* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (+ (/ (* z (+ (* -1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* 1/4 (/ (* x (pow y 2)) (pow z 3))) (/ (pow y 3) (pow z 3)))))) (* -1/4 (* (sqrt (/ (pow x 3) z)) (pow y 2))))) (pow x 4)) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))))
(* x (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y)))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (sqrt (/ 1 (* x z)))) (+ (* (sqrt (/ 1 (* x (pow z 3)))) y) (* (sqrt (/ 1 (* (pow x 3) z))) y)))))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 3))) (+ (* 2 (sqrt (/ 1 (* x z)))) (+ (* (sqrt (/ 1 (* x (pow z 3)))) y) (* (sqrt (/ 1 (* (pow x 3) z))) y))))))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* -1/2 (* (sqrt (/ (pow z 3) (pow x 7))) (* y (+ (* 1/4 (/ (* x (pow y 2)) (pow z 3))) (/ (pow y 3) (pow z 3)))))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 3))) (+ (* 2 (sqrt (/ 1 (* x z)))) (+ (* (sqrt (/ 1 (* x (pow z 3)))) y) (* (sqrt (/ 1 (* (pow x 3) z))) y))))))))
(* x (+ (* 2 (sqrt (/ 1 (* x z)))) (+ (* (sqrt (/ 1 (* x (pow z 3)))) y) (* (sqrt (/ 1 (* (pow x 3) z))) y))))
(* x (+ 1 (/ y z)))
(* x (+ 1 (+ (/ y x) (/ y z))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))))
(/ -1 (* x (+ (* -1 y) (* -1 z))))
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(+ (* z (- (/ (* z (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))) (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))) (/ 1 (* x y)))
(+ (* z (- (* z (- (* -1 (/ (* z (* (pow (+ x y) 2) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))) (* (pow x 2) (pow y 2)))) (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))) (/ 1 (* x y)))
(* 2 (* (sqrt (* x y)) (/ 1 z)))
(/ (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) z)
(* (* x y) (sqrt (/ 1 (* z (+ x y)))))
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) z)
(* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) (pow z 2))
(* (sqrt (/ x (pow z 3))) y)
(/ (+ (* z (+ (* 2 (sqrt (* x z))) (* (sqrt (/ z x)) y))) (* (sqrt (* x z)) y)) (pow z 2))
(/ (+ (* x y) (* z (+ x y))) z)
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* 2 (sqrt (* z (+ x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(sqrt (* z (+ x y)))
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(/ 1 (* z (+ x y)))
(/ (+ (* -1 (/ (* x y) (* z (pow (+ x y) 2)))) (/ 1 (+ x y))) z)
(/ (- (+ (/ 1 (+ x y)) (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ x y) 3)))) (/ (* x y) (* z (pow (+ x y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ x y) 4)))) (/ 1 (+ x y))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ x y) 3)))) (/ (* x y) (* z (pow (+ x y) 2))))) z)
(* (sqrt (/ 1 (* x y))) (* z (+ x y)))
(* z (+ (* 2 (* (sqrt (* x y)) (/ 1 z))) (* (sqrt (/ 1 (* x y))) (+ x y))))
(* (sqrt (/ 1 (* x y))) (+ x y))
(+ (* 2 (* (sqrt (* x y)) (/ 1 z))) (* (sqrt (/ 1 (* x y))) (+ x y)))
(* 2 (sqrt (/ (+ x y) z)))
(+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))
(+ (* 2 (sqrt (/ x z))) (* (sqrt (/ 1 (* x z))) y))
(+ (* 2 (sqrt (/ x z))) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ x (pow z 3))) y)))
(+ x y)
(+ x (+ y (/ (* x y) z)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(* -2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* -1 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))))
(* -1 (/ (- (/ (* x y) (* z (pow (+ x y) 2))) (/ 1 (+ x y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) (* z (pow (+ x y) 3))) (/ (* x y) (pow (+ x y) 2))) z)) (/ 1 (+ x y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) (* z (pow (+ x y) 4))) (/ (* (pow x 2) (pow y 2)) (pow (+ x y) 3))) z)) (/ (* x y) (pow (+ x y) 2))) z)) (/ 1 (+ x y))) z))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ (* -2 (* (sqrt (* x y)) (/ 1 z))) (* -1 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(* 2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(+ (* -1 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))
(+ (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ x (pow z 3))) (* y (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))))
(* (sqrt (/ x z)) (pow (sqrt -1) 2))

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	((/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ (* (+ (/ y z) 1) x) y) z) (* (+ (* (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (+ (* (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (+ (* (+ (sqrt (/ x (pow z 3))) (sqrt (/ 1 (* z x)))) y) (* (sqrt (/ x z)) 2)) (+ (* (+ y x) z) (* y x)) (+ (* (+ (/ y z) 1) x) y) (* (/ x z) y) (sqrt (/ 1 (* x y))) (sqrt (* x y)) (sqrt (/ x z)) (sqrt (/ x (pow z 3))))
9.0ms	z	@	0	((/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ (* (+ (/ y z) 1) x) y) z) (* (+ (* (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (+ (* (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (+ (* (+ (sqrt (/ x (pow z 3))) (sqrt (/ 1 (* z x)))) y) (* (sqrt (/ x z)) 2)) (+ (* (+ y x) z) (* y x)) (+ (* (+ (/ y z) 1) x) y) (* (/ x z) y) (sqrt (/ 1 (* x y))) (sqrt (* x y)) (sqrt (/ x z)) (sqrt (/ x (pow z 3))))
8.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ (* (+ (/ y z) 1) x) y) z) (* (+ (* (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (+ (* (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (+ (* (+ (sqrt (/ x (pow z 3))) (sqrt (/ 1 (* z x)))) y) (* (sqrt (/ x z)) 2)) (+ (* (+ y x) z) (* y x)) (+ (* (+ (/ y z) 1) x) y) (* (/ x z) y) (sqrt (/ 1 (* x y))) (sqrt (* x y)) (sqrt (/ x z)) (sqrt (/ x (pow z 3))))
7.0ms	z	@	-inf	((/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ (* (+ (/ y z) 1) x) y) z) (* (+ (* (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (+ (* (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (+ (* (+ (sqrt (/ x (pow z 3))) (sqrt (/ 1 (* z x)))) y) (* (sqrt (/ x z)) 2)) (+ (* (+ y x) z) (* y x)) (+ (* (+ (/ y z) 1) x) y) (* (/ x z) y) (sqrt (/ 1 (* x y))) (sqrt (* x y)) (sqrt (/ x z)) (sqrt (/ x (pow z 3))))
7.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (+ (* (+ y x) z) (* y x))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ (* (+ (/ y z) 1) x) y) z) (* (+ (* (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (+ (* (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (+ (* (+ (sqrt (/ x (pow z 3))) (sqrt (/ 1 (* z x)))) y) (* (sqrt (/ x z)) 2)) (+ (* (+ y x) z) (* y x)) (+ (* (+ (/ y z) 1) x) y) (* (/ x z) y) (sqrt (/ 1 (* x y))) (sqrt (* x y)) (sqrt (/ x z)) (sqrt (/ x (pow z 3))))

simplify217.0ms (2.3%)

Memory

-18.6MiB live, 370.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1374	9319
1	4811	8738
0	8794	8424

Stop Event

1×	iter limit
1×	node limit

Counts

277 → 275

Calls

Call 1

Inputs
(* y z)
(+ (* x (+ y z)) (* y z))
(* 2 (sqrt (* y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(sqrt (* y z))
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z))))))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(/ 1 (* y z))
(+ (* -1 (* x (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (/ 1 (* y z)))
(+ (* x (- (/ (* x (* (+ y z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (* y z)) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (/ 1 (* y z)))
(+ (* x (- (* x (- (* -1 (/ (* x (* (pow (+ y z) 2) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (* (pow y 2) (pow z 2)))) (* -1 (/ (* (+ y z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z)))) (* y z))))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (/ 1 (* y z)))
(* x z)
(+ (* x (* z (+ 1 (/ y z)))) (* y z))
(* (sqrt (/ y x)) z)
(/ (+ (* x (* z (+ (sqrt (/ x y)) (* 2 (* (sqrt (* x y)) (/ 1 z)))))) (* (sqrt (* x y)) z)) x)
(/ (+ (* x (+ (* 2 (sqrt (* x y))) (* (sqrt (/ x y)) z))) (* (sqrt (* x y)) z)) x)
(sqrt (/ y x))
(/ (+ (sqrt (* x y)) (* x (+ (sqrt (/ x y)) (* 2 (* (sqrt (* x y)) (/ 1 z)))))) x)
(+ (* 2 (sqrt (* y z))) (* x (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3)))))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (* z (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z))))))) (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* x (* z (+ (* 1/8 (sqrt (/ 1 (* (pow y 5) z)))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 3)))))))) (* z (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z)))))))) (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))))
(* 2 (sqrt (/ y z)))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (+ (sqrt (/ y (pow z 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z))))))))))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (+ (sqrt (/ y (pow z 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (+ (* -1/4 (sqrt (/ 1 (* (pow y 3) z)))) (* x (+ (* 1/8 (sqrt (/ 1 (* (pow y 5) z)))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 3))))))))))))))
(* (sqrt (/ 1 (* x z))) y)
(/ (+ (* x (+ (* 2 (sqrt (/ x z))) (* (sqrt (/ x (pow z 3))) y))) (* (sqrt (/ x z)) y)) x)
y
(+ y (* x (+ 1 (/ y z))))
(/ (* x y) z)
(sqrt (/ 1 (* x y)))
(sqrt (* x y))
(sqrt (/ x z))
(sqrt (/ x (pow z 3)))
(* x (+ y z))
(* x (+ y (+ z (/ (* y z) x))))
(* 2 (sqrt (* x (+ y z))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(sqrt (* x (+ y z)))
(* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(/ 1 (* x (+ y z)))
(/ (+ (* -1 (/ (* y z) (* x (pow (+ y z) 2)))) (/ 1 (+ y z))) x)
(/ (- (+ (/ 1 (+ y z)) (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (+ y z) 3)))) (/ (* y z) (* x (pow (+ y z) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow y 3) (pow z 3)) (* (pow x 3) (pow (+ y z) 4)))) (/ 1 (+ y z))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (+ y z) 3)))) (/ (* y z) (* x (pow (+ y z) 2))))) x)
(* x (* z (+ 1 (/ y z))))
(* x (+ (* z (+ 1 (/ y z))) (/ (* y z) x)))
(* x (* z (+ (sqrt (/ 1 (* x y))) (* 2 (* (sqrt (/ y x)) (/ 1 z))))))
(* x (+ (* z (+ (sqrt (/ 1 (* x y))) (* 2 (* (sqrt (/ y x)) (/ 1 z))))) (* (sqrt (/ y (pow x 3))) z)))
(* x (+ (* 2 (sqrt (/ y x))) (* (sqrt (/ 1 (* x y))) z)))
(* x (+ (* 2 (sqrt (/ y x))) (+ (* (sqrt (/ 1 (* x y))) z) (* (sqrt (/ y (pow x 3))) z))))
(* x (+ (sqrt (/ 1 (* x y))) (* 2 (* (sqrt (/ y x)) (/ 1 z)))))
(* x (+ (sqrt (/ 1 (* x y))) (+ (sqrt (/ y (pow x 3))) (* 2 (* (sqrt (/ y x)) (/ 1 z))))))
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Outputs
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(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 (neg.f64 (.f64 x x)) (.f64 (/.f64 y (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (/.f64 y (.f64 z z))) (*.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 y z)))) z)
(* (sqrt (/ 1 (* x y))) (* z (+ x y)))
(.f64 (.f64 (+.f64 x y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(* z (+ (* 2 (* (sqrt (* x y)) (/ 1 z))) (* (sqrt (/ 1 (* x y))) (+ x y))))
(.f64 (fma.f64 (+.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64))) z)
(* (sqrt (/ 1 (* x y))) (+ x y))
(.f64 (+.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))))
(+ (* 2 (* (sqrt (* x y)) (/ 1 z))) (* (sqrt (/ 1 (* x y))) (+ x y)))
(fma.f64 (+.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 (/.f64 (sqrt.f64 (*.f64 x y)) z) #s(literal 2 binary64)))
(* 2 (sqrt (/ (+ x y) z)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (.f64 x y)))
(+ (* 2 (sqrt (/ x z))) (* (sqrt (/ 1 (* x z))) y))
(fma.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y))
(+ (* 2 (sqrt (/ x z))) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ x (pow z 3))) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(+ x y)
(+.f64 x y)
(+ x (+ y (/ (* x y) z)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y)
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y)) (neg.f64 z))
(* -2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x y) z))) #s(literal -2 binary64))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (.f64 x y))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (.f64 x y)))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (+.f64 x y) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (.f64 x y))))) (neg.f64 z))
(* -1 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) #s(literal 1 binary64))
(* -1 (* z (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (+.f64 x y) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64))))) (neg.f64 z))
(* -1 (/ (- (/ (* x y) (* z (pow (+ x y) 2))) (/ 1 (+ x y))) z))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 y z) (/.f64 #s(literal -1 binary64) (+.f64 x y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) (* z (pow (+ x y) 3))) (/ (* x y) (pow (+ x y) 2))) z)) (/ 1 (+ x y))) z))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (/.f64 (.f64 y y) z) (*.f64 (neg.f64 x) (/.f64 y (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) (* z (pow (+ x y) 4))) (/ (* (pow x 2) (pow y 2)) (pow (+ x y) 3))) z)) (/ (* x y) (pow (+ x y) 2))) z)) (/ 1 (+ x y))) z))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (/.f64 (.f64 (.f64 x x) (.f64 y y)) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64)))) (neg.f64 z)) (.f64 x (/.f64 y (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x y))) (neg.f64 z))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 (*.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (neg.f64 x) y))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (neg.f64 x) y))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (neg.f64 x) y))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x))))) (neg.f64 z))
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 (neg.f64 x) y) z)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (neg.f64 x) y))) (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (neg.f64 x) y))) (.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (neg.f64 x) y))) (*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 z))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (-.f64 (neg.f64 x) y) (neg.f64 z))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x y)) (neg.f64 z))
(* -1 (* z (+ (* -2 (* (sqrt (* x y)) (/ 1 z))) (* -1 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(.f64 (fma.f64 (-.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (.f64 x y)) z))) (neg.f64 z))
(* 2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x y) z))) #s(literal 2 binary64))
(* -1 (* z (+ (* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal -2 binary64) (.f64 (.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))))) (neg.f64 z))
(* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ (* -1 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))
(+ (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2))))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64) (.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))))
(+ (* -1 (* (sqrt (/ x (pow z 3))) (* y (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))))
(fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64) (.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))))))
(* (sqrt (/ x z)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 x z)))

rewrite254.0ms (2.7%)

Memory

2.0MiB live, 286.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	557
0	113	535
1	458	507
2	3158	507
0	8712	493

Stop Event

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

Counts

27 → 583

Calls

Call 1

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

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

eval140.0ms (1.5%)

Memory: -2.4MiB live, 234.8MiB allocated
Compiler: Compiled 38 747 to 4 248 computations (89% saved)

prune70.0ms (0.8%)

Memory

18.0MiB live, 96.8MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	751	11	762
Fresh	4	20	24
Picked	3	2	5
Done	0	2	2
Total	758	35	793

Accuracy

87.1%

Counts

793 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.9%	(.f64 (pow.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 z x)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	35.2%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (.f64 (-.f64 y x) (-.f64 y x))) z (*.f64 y x))) #s(literal 2 binary64))
✓	72.2%	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
	50.8%	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (.f64 y y)))) z (*.f64 y x))) #s(literal 2 binary64))
	57.2%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x))) #s(literal 2 binary64))
	37.6%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 z y) x))) #s(literal 2 binary64))
	37.8%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))
▶	36.8%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
✓	3.2%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
	71.6%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
▶	71.7%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (.f64 z y)))) (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (.f64 z y))))))
	30.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x)))))
	36.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))))
	50.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) x) (/.f64 x (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))))
	51.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (.f64 y z))))
	45.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))))
✓	16.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ y z) 1) x) y) (*.f64 (/.f64 x z) y)) z))))
	46.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ (* (+ (/ y z) 1) x) y) z) (.f64 (.f64 (neg.f64 z) y) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))))
	36.0%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	36.2%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
	33.0%	#s(approx (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
▶	3.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	40.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (pow.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) z))
	46.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z))
	2.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (fabs.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
	32.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) #s(literal 2 binary64))) y)) z))
▶	2.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
	45.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z))
	44.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
	1.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (+ (* (+ (sqrt (/ x (pow z 3))) (sqrt (/ 1 (* z x)))) y) (* (sqrt (/ x z)) 2)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))) z (.f64 (sqrt.f64 (.f64 z x)) y)) (*.f64 z z)))) z))
	28.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (.f64 (fma.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 2 binary64) z) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y)))) z)))
	3.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (*.f64 (sqrt.f64 (/.f64 x y)) z)))
	15.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (.f64 #s(approx (+ ( (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) (/.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64) (sqrt.f64 (/.f64 x y))) x (sqrt.f64 (.f64 x y))) x)) z)))
	27.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (.f64 #s(approx (+ ( (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) (.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64))) z)))

Compiler

Compiled 2 432 to 1 532 computations (37% saved)

simplify330.0ms (3.6%)

Memory

-2.0MiB live, 116.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x))
cost-diff	0	(.f64 #s(approx (+ ( (+ y x) z) (* y x)) (.f64 z x)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x)))
cost-diff	0	(pow.f64 (.f64 #s(approx (+ ( (+ y x) z) (* y x)) (.f64 z x)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 z x)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
cost-diff	128	(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))
cost-diff	192	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))
cost-diff	0	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)))
cost-diff	0	(sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 z y))))
cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (.f64 z y)))) (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (.f64 z y))))))
cost-diff	3136	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (.f64 z y)))) (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	488
0	87	450
1	147	439
2	215	439
3	285	439
4	324	439
5	329	439
6	332	439
7	338	439
8	348	439
9	356	439
10	392	439
11	427	439
12	527	439
13	681	439
14	1101	439
15	2201	439
16	3516	439
17	4151	439
18	4564	439
19	4696	439
20	4736	439
21	4749	439
22	5137	439
23	5313	439
24	5605	439
25	5819	439
26	5937	439
27	5939	439
28	5939	439
29	5939	439
30	5939	439
31	5951	439
32	5978	439
33	5978	439
34	5981	439
0	5981	436

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize160.0ms (1.7%)

Memory

-6.1MiB live, 317.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	0.08984375	(.f64 #s(approx (+ ( (+ y x) z) (* y x)) (.f64 z x)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x)))
accuracy	15.21774752261582	(pow.f64 (.f64 #s(approx (+ ( (+ y x) z) (* y x)) (.f64 z x)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 1/4 binary64))
accuracy	25.497532297747142	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x))
accuracy	0.21047422182921688	(/.f64 #s(literal 1 binary64) (*.f64 z x))
accuracy	2.4424623789496036	(sqrt.f64 (*.f64 z x))
accuracy	2.524494229533791	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
accuracy	26.669945594300074	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
accuracy	5.027050340757415	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z)
accuracy	8.718480151596182	(sqrt.f64 (/.f64 (+.f64 x y) z))
accuracy	15.343364988180573	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
accuracy	28.36805370399371	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64)))
accuracy	0	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
accuracy	0	(*.f64 z y)
accuracy	7.35224182767353	(sqrt.f64 #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y)))
accuracy	14.812709658879374	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z y))
accuracy	0.01171875	(fma.f64 (+.f64 z y) x (*.f64 z y))
accuracy	0.0703125	(sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 z y))))
accuracy	0.2109375	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (.f64 z y)))) (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)))))
accuracy	7.35224182767353	(sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)))

Samples

61.0ms	141×	0	invalid
50.0ms	115×	0	valid

Compiler

Compiled 868 to 119 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 31.0ms (35.3% of total)

ival-add: 18.0ms (20.5% of total)

ival-pow: 16.0ms (18.2% of total)

ival-sqrt: 14.0ms (15.9% of total)

ival-div: 8.0ms (9.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series246.0ms (2.7%)

Memory

28.9MiB live, 419.8MiB allocated

Counts

26 → 324

Calls

Call 1

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

Outputs
(sqrt (* y z))
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z))))))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(* 2 (sqrt (* y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(pow (* 1 (* y z)) 1/4)
(+ (* 1/4 (* (pow (* 1 (* y z)) 1/4) (* x (+ (/ 1 y) (/ 1 z))))) (pow (* 1 (* y z)) 1/4))
(+ (* x (+ (* 1/4 (* (pow (* 1 (* y z)) 1/4) (+ (/ 1 y) (/ 1 z)))) (* (pow (* 1 (* y z)) 1/4) (* x (+ (* -1/8 (/ (pow (+ y z) 2) (* (pow y 2) (pow z 2)))) (* 1/32 (pow (+ (/ 1 y) (/ 1 z)) 2))))))) (pow (* 1 (* y z)) 1/4))
(+ (* x (+ (* 1/4 (* (pow (* 1 (* y z)) 1/4) (+ (/ 1 y) (/ 1 z)))) (* x (+ (* (pow (* 1 (* y z)) 1/4) (* x (+ (* -1/32 (/ (* (pow (+ y z) 2) (+ (/ 1 y) (/ 1 z))) (* (pow y 2) (pow z 2)))) (+ (* 1/384 (pow (+ (/ 1 y) (/ 1 z)) 3)) (* 1/12 (/ (pow (+ y z) 3) (* (pow y 3) (pow z 3)))))))) (* (pow (* 1 (* y z)) 1/4) (+ (* -1/8 (/ (pow (+ y z) 2) (* (pow y 2) (pow z 2)))) (* 1/32 (pow (+ (/ 1 y) (/ 1 z)) 2)))))))) (pow (* 1 (* y z)) 1/4))
(* y z)
(+ (* x (+ y z)) (* y z))
(* -1 (sqrt (/ y z)))
(+ (* -1 (sqrt (/ y z))) (* -1/2 (* x (sqrt (/ 1 (* y z))))))
(+ (* -1 (sqrt (/ y z))) (* x (+ (* -1/2 (sqrt (/ 1 (* y z)))) (* 1/8 (* x (sqrt (/ 1 (* (pow y 3) z))))))))
(+ (* -1 (sqrt (/ y z))) (* x (+ (* -1/2 (sqrt (/ 1 (* y z)))) (* x (+ (* -1/16 (* x (sqrt (/ 1 (* (pow y 5) z))))) (* 1/8 (sqrt (/ 1 (* (pow y 3) z)))))))))
(* -2 (sqrt (/ y z)))
(+ (* -2 (sqrt (/ y z))) (* -1 (* x (sqrt (/ 1 (* y z))))))
(+ (* -2 (sqrt (/ y z))) (* x (+ (* -1 (sqrt (/ 1 (* y z)))) (* 1/4 (* x (sqrt (/ 1 (* (pow y 3) z))))))))
(+ (* -2 (sqrt (/ y z))) (* x (+ (* -1 (sqrt (/ 1 (* y z)))) (* x (+ (* -1/8 (* x (sqrt (/ 1 (* (pow y 5) z))))) (* 1/4 (sqrt (/ 1 (* (pow y 3) z)))))))))
(+ (* 2 (sqrt (* y z))) (* x (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3)))))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (* z (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z))))))) (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* x (* z (+ (* 1/8 (sqrt (/ 1 (* (pow y 5) z)))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 3)))))))) (* z (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z)))))))) (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))))
(* (sqrt (/ z x)) y)
(/ (+ (* x (+ (* 2 (sqrt (* x z))) (* (sqrt (/ x z)) y))) (* (sqrt (* x z)) y)) x)
(sqrt (/ z x))
(/ (+ (sqrt (* x z)) (sqrt (/ (pow x 3) z))) x)
(sqrt (/ 1 (* x z)))
(* (pow y 2) (pow z 2))
(+ (* 2 (* x (* y (* z (+ y z))))) (* (pow y 2) (pow z 2)))
(+ (* x (+ (* 2 (* y (* z (+ y z)))) (* x (pow (+ y z) 2)))) (* (pow y 2) (pow z 2)))
(* 2 (sqrt (/ y z)))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (+ (sqrt (/ y (pow z 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z))))))))))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (+ (sqrt (/ y (pow z 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (+ (* -1/4 (sqrt (/ 1 (* (pow y 3) z)))) (* x (+ (* 1/8 (sqrt (/ 1 (* (pow y 5) z)))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 3))))))))))))))
(sqrt (/ y z))
(+ (sqrt (/ y z)) (* 1/2 (* x (sqrt (/ 1 (* y z))))))
(+ (sqrt (/ y z)) (* x (+ (* -1/8 (* x (sqrt (/ 1 (* (pow y 3) z))))) (* 1/2 (sqrt (/ 1 (* y z)))))))
(+ (sqrt (/ y z)) (* x (+ (* 1/2 (sqrt (/ 1 (* y z)))) (* x (+ (* -1/8 (sqrt (/ 1 (* (pow y 3) z)))) (* 1/16 (* x (sqrt (/ 1 (* (pow y 5) z))))))))))
(sqrt (* x z))
(/ 1 (* x z))
(* x z)
(sqrt (* x (+ y z)))
(* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(* 2 (sqrt (* x (+ y z))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x))))))
(+ (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (* 1/4 (/ (* y (* z (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))))) (* x (+ y z)))))
(+ (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (+ (* 1/4 (/ (* y (* z (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))))) (* x (+ y z)))) (/ (* (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))) (* 1/32 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))))) (pow x 2))))
(+ (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (+ (* 1/4 (/ (* y (* z (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))))) (* x (+ y z)))) (+ (/ (* (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))) (* 1/32 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))))) (pow x 2)) (/ (* (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (+ (* -1/32 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3))) (+ (* 1/384 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3))) (* 1/12 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3)))))) (pow x 3)))))
(* x (+ y z))
(* x (+ y (+ z (/ (* y z) x))))
(* -1 (sqrt (/ x z)))
(* x (+ (* -1 (sqrt (/ 1 (* x z)))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y))))
(* x (+ (* -1 (sqrt (/ 1 (* x z)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))))))
(* x (+ (* -1 (sqrt (/ 1 (* x z)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (pow y 3))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2)))))))
(* -2 (sqrt (/ x z)))
(* x (+ (* -2 (sqrt (/ 1 (* x z)))) (* -1 (* (sqrt (/ 1 (* (pow x 3) z))) y))))
(* x (+ (* -2 (sqrt (/ 1 (* x z)))) (+ (* -1 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* 1/4 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))))))
(* x (+ (* -2 (sqrt (/ 1 (* x z)))) (+ (* -1 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 7) z))) (pow y 3))) (* 1/4 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2)))))))
(* x (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))))
(* x (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))
(* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))
(* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (+ (/ (* z (+ (* -1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* 1/4 (/ (* x (pow y 2)) (pow z 3))) (/ (pow y 3) (pow z 3)))))) (* -1/4 (* (sqrt (/ (pow x 3) z)) (pow y 2))))) (pow x 4)) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))))
(* x (+ (* 2 (sqrt (/ z x))) (* (sqrt (/ 1 (* x z))) y)))
(* x (+ (* 2 (sqrt (/ z x))) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z (pow x 3))) y))))
(sqrt (/ x z))
(* x (+ (sqrt (/ 1 (* x z))) (sqrt (/ z (pow x 3)))))
(* (pow x 2) (pow (+ y z) 2))
(* (pow x 2) (+ (* 2 (/ (* y (* z (+ y z))) x)) (pow (+ y z) 2)))
(* (pow x 2) (+ (* 2 (/ (* y (* z (+ y z))) x)) (+ (/ (* (pow y 2) (pow z 2)) (pow x 2)) (pow (+ y z) 2))))
(* x (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y)))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (sqrt (/ 1 (* x z)))) (+ (* (sqrt (/ 1 (* x (pow z 3)))) y) (* (sqrt (/ 1 (* (pow x 3) z))) y)))))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 3))) (+ (* 2 (sqrt (/ 1 (* x z)))) (+ (* (sqrt (/ 1 (* x (pow z 3)))) y) (* (sqrt (/ 1 (* (pow x 3) z))) y))))))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* -1/2 (* (sqrt (/ (pow z 3) (pow x 7))) (* y (+ (* 1/4 (/ (* x (pow y 2)) (pow z 3))) (/ (pow y 3) (pow z 3)))))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 3))) (+ (* 2 (sqrt (/ 1 (* x z)))) (+ (* (sqrt (/ 1 (* x (pow z 3)))) y) (* (sqrt (/ 1 (* (pow x 3) z))) y))))))))
(* x (+ (sqrt (/ 1 (* x z))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y))))
(* x (+ (sqrt (/ 1 (* x z))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)))))
(* x (+ (sqrt (/ 1 (* x z))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y))))))
(* -1 (* (sqrt (* x (+ y z))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))) (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))) (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (/ (* (pow y 3) (pow z 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))) (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2)))))))
(* -2 (* (sqrt (* x (+ y z))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (/ (* (pow y 3) (pow z 3)) (pow (sqrt -1) 4)))) (+ (* 2 (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x))))))
(+ (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (* y (* z (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))))) (* x (+ y z)))))
(+ (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (+ (* -1/8 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))) (* 1/32 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))))) x)) (* -1/4 (/ (* y (* z (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))))) (+ y z)))) x)))
(+ (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (+ (* -1/12 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3))) (+ (* -1/384 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3))) (* 1/32 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3)))))) x)) (* (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (+ (* -1/8 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))) (* 1/32 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2)))))) x)) (* -1/4 (/ (* y (* z (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))))) (+ y z)))) x)))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* (sqrt (/ x z)) (pow (sqrt -1) 2))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (/ (pow y 3) (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2)))))))))
(* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (* (pow x 3) z))) y)))))
(* -1 (* x (+ (* -2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* 1/4 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2))))))))
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(* -1 (* x (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))))
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(* -1 (* y (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2)))))
(* -1 (* y (+ (* -1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))) (sqrt (* y (pow z 3))))))) y)) (* 1/2 (* (pow x 3) (sqrt (/ y z))))) (pow y 3))) (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2))))))
(* -1 (* y (+ (* -2 (* (sqrt (* x z)) (/ 1 y))) (* -1 (* (sqrt (/ 1 (* x z))) (+ x z))))))
(* (pow y 2) (pow (+ (* -1 x) (* -1 z)) 2))
(* (pow y 2) (+ (* -2 (/ (* x (* z (+ (* -1 x) (* -1 z)))) y)) (pow (+ (* -1 x) (* -1 z)) 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) y)) (* 2 (* x (* z (+ (* -1 x) (* -1 z)))))) y)) (pow (+ (* -1 x) (* -1 z)) 2)))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z)))))))))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* -1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 5) (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z))))))))))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))) (sqrt (* y (pow z 3)))))) y)) (* 1/2 (* (pow x 3) (sqrt (/ y (pow z 3)))))) (pow y 3))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z))))))))))
(* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) z))))) (+ (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))))
(sqrt (* x y))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(pow (* 1 (* x y)) 1/4)
(+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (* z (+ (/ 1 x) (/ 1 y))))) (pow (* 1 (* x y)) 1/4))
(+ (* z (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (+ (/ 1 x) (/ 1 y)))) (* (pow (* 1 (* x y)) 1/4) (* z (+ (* -1/8 (/ (pow (+ x y) 2) (* (pow x 2) (pow y 2)))) (* 1/32 (pow (+ (/ 1 x) (/ 1 y)) 2))))))) (pow (* 1 (* x y)) 1/4))
(+ (* z (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (+ (/ 1 x) (/ 1 y)))) (* z (+ (* (pow (* 1 (* x y)) 1/4) (* z (+ (* -1/32 (/ (* (pow (+ x y) 2) (+ (/ 1 x) (/ 1 y))) (* (pow x 2) (pow y 2)))) (+ (* 1/384 (pow (+ (/ 1 x) (/ 1 y)) 3)) (* 1/12 (/ (pow (+ x y) 3) (* (pow x 3) (pow y 3)))))))) (* (pow (* 1 (* x y)) 1/4) (+ (* -1/8 (/ (pow (+ x y) 2) (* (pow x 2) (pow y 2)))) (* 1/32 (pow (+ (/ 1 x) (/ 1 y)) 2)))))))) (pow (* 1 (* x y)) 1/4))
(* x y)
(+ (* x y) (* z (+ x y)))
(* -1 (sqrt (/ (+ x y) z)))
(* -2 (sqrt (/ (+ x y) z)))
(* (* x y) (sqrt (/ 1 (* z (+ x y)))))
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) z)
(* (sqrt (/ x z)) y)
(/ (+ (* z (+ (* 2 (sqrt (* x z))) (* (sqrt (/ z x)) y))) (* (sqrt (* x z)) y)) z)
(/ (+ (sqrt (* x z)) (sqrt (/ (pow z 3) x))) z)
(* (pow x 2) (pow y 2))
(+ (* 2 (* x (* y (* z (+ x y))))) (* (pow x 2) (pow y 2)))
(+ (* z (+ (* 2 (* x (* y (+ x y)))) (* z (pow (+ x y) 2)))) (* (pow x 2) (pow y 2)))
(* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) (pow z 2))
(sqrt (/ (+ x y) z))
(sqrt (* z (+ x y)))
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* 2 (sqrt (* z (+ x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z))))))
(+ (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (* 1/4 (/ (* x (* y (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))))) (* z (+ x y)))))
(+ (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (+ (* 1/4 (/ (* x (* y (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))))) (* z (+ x y)))) (/ (* (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow (+ x y) 2))) (* 1/32 (/ (* (pow x 2) (pow y 2)) (pow (+ x y) 2))))) (pow z 2))))
(+ (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (+ (* 1/4 (/ (* x (* y (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))))) (* z (+ x y)))) (+ (/ (* (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow (+ x y) 2))) (* 1/32 (/ (* (pow x 2) (pow y 2)) (pow (+ x y) 2))))) (pow z 2)) (/ (* (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (+ (* -1/32 (/ (* (pow x 3) (pow y 3)) (pow (+ x y) 3))) (+ (* 1/384 (/ (* (pow x 3) (pow y 3)) (pow (+ x y) 3))) (* 1/12 (/ (* (pow x 3) (pow y 3)) (pow (+ x y) 3)))))) (pow z 3)))))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ (* 2 (sqrt (/ x z))) (* (sqrt (/ 1 (* x z))) y)))
(* z (+ (* 2 (sqrt (/ x z))) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ x (pow z 3))) y))))
(* z (+ (sqrt (/ 1 (* x z))) (sqrt (/ x (pow z 3)))))
(* (pow z 2) (pow (+ x y) 2))
(* (pow z 2) (+ (* 2 (/ (* x (* y (+ x y))) z)) (pow (+ x y) 2)))
(* (pow z 2) (+ (* 2 (/ (* x (* y (+ x y))) z)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 2)) (pow (+ x y) 2))))
(* 2 (sqrt (/ (+ x y) z)))
(+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
(exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z))))))
(+ (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))) (* -1/4 (/ (* x (* y (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))))) (* z (+ (* -1 x) (* -1 y))))))
(+ (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow (+ (* -1 x) (* -1 y)) 2))) (* 1/32 (/ (* (pow x 2) (pow y 2)) (pow (+ (* -1 x) (* -1 y)) 2))))) z)) (* 1/4 (/ (* x (* y (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))))) (+ (* -1 x) (* -1 y))))) z)))
(+ (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))) (+ (* -1/32 (/ (* (pow x 3) (pow y 3)) (pow (+ (* -1 x) (* -1 y)) 3))) (+ (* 1/384 (/ (* (pow x 3) (pow y 3)) (pow (+ (* -1 x) (* -1 y)) 3))) (* 1/12 (/ (* (pow x 3) (pow y 3)) (pow (+ (* -1 x) (* -1 y)) 3)))))) z)) (* (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow (+ (* -1 x) (* -1 y)) 2))) (* 1/32 (/ (* (pow x 2) (pow y 2)) (pow (+ (* -1 x) (* -1 y)) 2)))))) z)) (* 1/4 (/ (* x (* y (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))))) (+ (* -1 x) (* -1 y))))) z)))
(* -2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* -1 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(* -1 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(* 2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ x (pow z 3))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2)))))))
(* (sqrt (/ z x)) (pow (sqrt -1) 2))
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* x (* y (+ x y)))) (* -1 (/ (* (pow x 2) (pow y 2)) z))) z)) (pow (+ x y) 2)))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(+ (* -1 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))
(* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))

Calls

9 calls:

Time	Variable		Point	Expression
76.0ms	x	@	0	((* (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (sqrt (+ (* (+ z y) x) (* z y))))) (* 2 (* (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (sqrt (+ (* (+ z y) x) (* z y)))))) (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (+ (* (+ z y) x) (* z y))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (* (sqrt (/ (+ x y) z)) -1) (* (* (sqrt (/ (+ x y) z)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (* (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) 2) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ (* (+ z y) x) (* z y)) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (+ x y) z)) (sqrt (* z x)) (/ 1 (* z x)) (* z x))
27.0ms	x	@	-inf	((* (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (sqrt (+ (* (+ z y) x) (* z y))))) (* 2 (* (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (sqrt (+ (* (+ z y) x) (* z y)))))) (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (+ (* (+ z y) x) (* z y))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (* (sqrt (/ (+ x y) z)) -1) (* (* (sqrt (/ (+ x y) z)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (* (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) 2) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ (* (+ z y) x) (* z y)) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (+ x y) z)) (sqrt (* z x)) (/ 1 (* z x)) (* z x))
21.0ms	z	@	-inf	((* (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (sqrt (+ (* (+ z y) x) (* z y))))) (* 2 (* (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (sqrt (+ (* (+ z y) x) (* z y)))))) (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (+ (* (+ z y) x) (* z y))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (* (sqrt (/ (+ x y) z)) -1) (* (* (sqrt (/ (+ x y) z)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (* (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) 2) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ (* (+ z y) x) (* z y)) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (+ x y) z)) (sqrt (* z x)) (/ 1 (* z x)) (* z x))
21.0ms	y	@	inf	((* (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (sqrt (+ (* (+ z y) x) (* z y))))) (* 2 (* (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (sqrt (+ (* (+ z y) x) (* z y)))))) (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (+ (* (+ z y) x) (* z y))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (* (sqrt (/ (+ x y) z)) -1) (* (* (sqrt (/ (+ x y) z)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (* (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) 2) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ (* (+ z y) x) (* z y)) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (+ x y) z)) (sqrt (* z x)) (/ 1 (* z x)) (* z x))
20.0ms	y	@	0	((* (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (sqrt (+ (* (+ z y) x) (* z y))))) (* 2 (* (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (sqrt (+ (* (+ z y) x) (* z y)))))) (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (+ (* (+ z y) x) (* z y))) (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (sqrt (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (* z y) (* (sqrt (/ (+ x y) z)) -1) (* (* (sqrt (/ (+ x y) z)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (* (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) 2) (pow (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) 1/4) (* (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (+ (* (+ y x) z) (* y x)) (+ (* (+ z y) x) (* z y)) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (+ x y) z)) (sqrt (* z x)) (/ 1 (* z x)) (* z x))

simplify203.0ms (2.2%)

Memory

-1.3MiB live, 316.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1725	12100
1	6035	11399
0	8239	10984

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(sqrt (* y z))
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z))))))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(* 2 (sqrt (* y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(pow (* 1 (* y z)) 1/4)
(+ (* 1/4 (* (pow (* 1 (* y z)) 1/4) (* x (+ (/ 1 y) (/ 1 z))))) (pow (* 1 (* y z)) 1/4))
(+ (* x (+ (* 1/4 (* (pow (* 1 (* y z)) 1/4) (+ (/ 1 y) (/ 1 z)))) (* (pow (* 1 (* y z)) 1/4) (* x (+ (* -1/8 (/ (pow (+ y z) 2) (* (pow y 2) (pow z 2)))) (* 1/32 (pow (+ (/ 1 y) (/ 1 z)) 2))))))) (pow (* 1 (* y z)) 1/4))
(+ (* x (+ (* 1/4 (* (pow (* 1 (* y z)) 1/4) (+ (/ 1 y) (/ 1 z)))) (* x (+ (* (pow (* 1 (* y z)) 1/4) (* x (+ (* -1/32 (/ (* (pow (+ y z) 2) (+ (/ 1 y) (/ 1 z))) (* (pow y 2) (pow z 2)))) (+ (* 1/384 (pow (+ (/ 1 y) (/ 1 z)) 3)) (* 1/12 (/ (pow (+ y z) 3) (* (pow y 3) (pow z 3)))))))) (* (pow (* 1 (* y z)) 1/4) (+ (* -1/8 (/ (pow (+ y z) 2) (* (pow y 2) (pow z 2)))) (* 1/32 (pow (+ (/ 1 y) (/ 1 z)) 2)))))))) (pow (* 1 (* y z)) 1/4))
(* y z)
(+ (* x (+ y z)) (* y z))
(* -1 (sqrt (/ y z)))
(+ (* -1 (sqrt (/ y z))) (* -1/2 (* x (sqrt (/ 1 (* y z))))))
(+ (* -1 (sqrt (/ y z))) (* x (+ (* -1/2 (sqrt (/ 1 (* y z)))) (* 1/8 (* x (sqrt (/ 1 (* (pow y 3) z))))))))
(+ (* -1 (sqrt (/ y z))) (* x (+ (* -1/2 (sqrt (/ 1 (* y z)))) (* x (+ (* -1/16 (* x (sqrt (/ 1 (* (pow y 5) z))))) (* 1/8 (sqrt (/ 1 (* (pow y 3) z)))))))))
(* -2 (sqrt (/ y z)))
(+ (* -2 (sqrt (/ y z))) (* -1 (* x (sqrt (/ 1 (* y z))))))
(+ (* -2 (sqrt (/ y z))) (* x (+ (* -1 (sqrt (/ 1 (* y z)))) (* 1/4 (* x (sqrt (/ 1 (* (pow y 3) z))))))))
(+ (* -2 (sqrt (/ y z))) (* x (+ (* -1 (sqrt (/ 1 (* y z)))) (* x (+ (* -1/8 (* x (sqrt (/ 1 (* (pow y 5) z))))) (* 1/4 (sqrt (/ 1 (* (pow y 3) z)))))))))
(+ (* 2 (sqrt (* y z))) (* x (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3)))))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (* z (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z))))))) (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* x (* z (+ (* 1/8 (sqrt (/ 1 (* (pow y 5) z)))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 3)))))))) (* z (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z)))))))) (* z (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))))
(* (sqrt (/ z x)) y)
(/ (+ (* x (+ (* 2 (sqrt (* x z))) (* (sqrt (/ x z)) y))) (* (sqrt (* x z)) y)) x)
(sqrt (/ z x))
(/ (+ (sqrt (* x z)) (sqrt (/ (pow x 3) z))) x)
(sqrt (/ 1 (* x z)))
(* (pow y 2) (pow z 2))
(+ (* 2 (* x (* y (* z (+ y z))))) (* (pow y 2) (pow z 2)))
(+ (* x (+ (* 2 (* y (* z (+ y z)))) (* x (pow (+ y z) 2)))) (* (pow y 2) (pow z 2)))
(* 2 (sqrt (/ y z)))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (sqrt (/ y (pow z 3))))))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (+ (sqrt (/ y (pow z 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (* -1/4 (sqrt (/ 1 (* (pow y 3) z))))))))))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (+ (sqrt (/ y (pow z 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (+ (* -1/4 (sqrt (/ 1 (* (pow y 3) z)))) (* x (+ (* 1/8 (sqrt (/ 1 (* (pow y 5) z)))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 3))))))))))))))
(sqrt (/ y z))
(+ (sqrt (/ y z)) (* 1/2 (* x (sqrt (/ 1 (* y z))))))
(+ (sqrt (/ y z)) (* x (+ (* -1/8 (* x (sqrt (/ 1 (* (pow y 3) z))))) (* 1/2 (sqrt (/ 1 (* y z)))))))
(+ (sqrt (/ y z)) (* x (+ (* 1/2 (sqrt (/ 1 (* y z)))) (* x (+ (* -1/8 (sqrt (/ 1 (* (pow y 3) z)))) (* 1/16 (* x (sqrt (/ 1 (* (pow y 5) z))))))))))
(sqrt (* x z))
(/ 1 (* x z))
(* x z)
(sqrt (* x (+ y z)))
(* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(* 2 (sqrt (* x (+ y z))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x))))))
(+ (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (* 1/4 (/ (* y (* z (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))))) (* x (+ y z)))))
(+ (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (+ (* 1/4 (/ (* y (* z (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))))) (* x (+ y z)))) (/ (* (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))) (* 1/32 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))))) (pow x 2))))
(+ (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (+ (* 1/4 (/ (* y (* z (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))))) (* x (+ y z)))) (+ (/ (* (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))) (* 1/32 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))))) (pow x 2)) (/ (* (exp (* 1/4 (+ (log (+ y z)) (* -1 (log (/ 1 x)))))) (+ (* -1/32 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3))) (+ (* 1/384 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3))) (* 1/12 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3)))))) (pow x 3)))))
(* x (+ y z))
(* x (+ y (+ z (/ (* y z) x))))
(* -1 (sqrt (/ x z)))
(* x (+ (* -1 (sqrt (/ 1 (* x z)))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y))))
(* x (+ (* -1 (sqrt (/ 1 (* x z)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))))))
(* x (+ (* -1 (sqrt (/ 1 (* x z)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (pow y 3))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2)))))))
(* -2 (sqrt (/ x z)))
(* x (+ (* -2 (sqrt (/ 1 (* x z)))) (* -1 (* (sqrt (/ 1 (* (pow x 3) z))) y))))
(* x (+ (* -2 (sqrt (/ 1 (* x z)))) (+ (* -1 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* 1/4 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))))))
(* x (+ (* -2 (sqrt (/ 1 (* x z)))) (+ (* -1 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 7) z))) (pow y 3))) (* 1/4 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2)))))))
(* x (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))))
(* x (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))
(* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))
(* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (+ (/ (* z (+ (* -1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* 1/4 (/ (* x (pow y 2)) (pow z 3))) (/ (pow y 3) (pow z 3)))))) (* -1/4 (* (sqrt (/ (pow x 3) z)) (pow y 2))))) (pow x 4)) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))))
(* x (+ (* 2 (sqrt (/ z x))) (* (sqrt (/ 1 (* x z))) y)))
(* x (+ (* 2 (sqrt (/ z x))) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z (pow x 3))) y))))
(sqrt (/ x z))
(* x (+ (sqrt (/ 1 (* x z))) (sqrt (/ z (pow x 3)))))
(* (pow x 2) (pow (+ y z) 2))
(* (pow x 2) (+ (* 2 (/ (* y (* z (+ y z))) x)) (pow (+ y z) 2)))
(* (pow x 2) (+ (* 2 (/ (* y (* z (+ y z))) x)) (+ (/ (* (pow y 2) (pow z 2)) (pow x 2)) (pow (+ y z) 2))))
(* x (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y)))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (sqrt (/ 1 (* x z)))) (+ (* (sqrt (/ 1 (* x (pow z 3)))) y) (* (sqrt (/ 1 (* (pow x 3) z))) y)))))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 3))) (+ (* 2 (sqrt (/ 1 (* x z)))) (+ (* (sqrt (/ 1 (* x (pow z 3)))) y) (* (sqrt (/ 1 (* (pow x 3) z))) y))))))
(* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* -1/2 (* (sqrt (/ (pow z 3) (pow x 7))) (* y (+ (* 1/4 (/ (* x (pow y 2)) (pow z 3))) (/ (pow y 3) (pow z 3)))))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 3))) (+ (* 2 (sqrt (/ 1 (* x z)))) (+ (* (sqrt (/ 1 (* x (pow z 3)))) y) (* (sqrt (/ 1 (* (pow x 3) z))) y))))))))
(* x (+ (sqrt (/ 1 (* x z))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y))))
(* x (+ (sqrt (/ 1 (* x z))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)))))
(* x (+ (sqrt (/ 1 (* x z))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y))))))
(* -1 (* (sqrt (* x (+ y z))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))) (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))) (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (/ (* (pow y 3) (pow z 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))) (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2)))))))
(* -2 (* (sqrt (* x (+ y z))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (/ (* (pow y 3) (pow z 3)) (pow (sqrt -1) 4)))) (+ (* 2 (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x))))))
(+ (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (* y (* z (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))))) (* x (+ y z)))))
(+ (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (+ (* -1/8 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))) (* 1/32 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))))) x)) (* -1/4 (/ (* y (* z (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))))) (+ y z)))) x)))
(+ (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (+ (* -1/12 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3))) (+ (* -1/384 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3))) (* 1/32 (/ (* (pow y 3) (pow z 3)) (pow (+ y z) 3)))))) x)) (* (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))) (+ (* -1/8 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2))) (* 1/32 (/ (* (pow y 2) (pow z 2)) (pow (+ y z) 2)))))) x)) (* -1/4 (/ (* y (* z (exp (* 1/4 (+ (log (* -1 (+ y z))) (* -1 (log (/ -1 x)))))))) (+ y z)))) x)))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* (sqrt (/ x z)) (pow (sqrt -1) 2))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (/ (pow y 3) (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2)))))))))
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(* -1 (* y (+ (* -1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))) (sqrt (* y (pow z 3))))))) y)) (* 1/2 (* (pow x 3) (sqrt (/ y z))))) (pow y 3))) (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2))))))
(* -1 (* y (+ (* -2 (* (sqrt (* x z)) (/ 1 y))) (* -1 (* (sqrt (/ 1 (* x z))) (+ x z))))))
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(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) y)) (* 2 (* x (* z (+ (* -1 x) (* -1 z)))))) y)) (pow (+ (* -1 x) (* -1 z)) 2)))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z)))))))))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* -1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 5) (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z))))))))))
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))) (sqrt (* y (pow z 3)))))) y)) (* 1/2 (* (pow x 3) (sqrt (/ y (pow z 3)))))) (pow y 3))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z))))))))))
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(sqrt (* x y))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
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(pow (* 1 (* x y)) 1/4)
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(+ (* z (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (+ (/ 1 x) (/ 1 y)))) (* (pow (* 1 (* x y)) 1/4) (* z (+ (* -1/8 (/ (pow (+ x y) 2) (* (pow x 2) (pow y 2)))) (* 1/32 (pow (+ (/ 1 x) (/ 1 y)) 2))))))) (pow (* 1 (* x y)) 1/4))
(+ (* z (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (+ (/ 1 x) (/ 1 y)))) (* z (+ (* (pow (* 1 (* x y)) 1/4) (* z (+ (* -1/32 (/ (* (pow (+ x y) 2) (+ (/ 1 x) (/ 1 y))) (* (pow x 2) (pow y 2)))) (+ (* 1/384 (pow (+ (/ 1 x) (/ 1 y)) 3)) (* 1/12 (/ (pow (+ x y) 3) (* (pow x 3) (pow y 3)))))))) (* (pow (* 1 (* x y)) 1/4) (+ (* -1/8 (/ (pow (+ x y) 2) (* (pow x 2) (pow y 2)))) (* 1/32 (pow (+ (/ 1 x) (/ 1 y)) 2)))))))) (pow (* 1 (* x y)) 1/4))
(* x y)
(+ (* x y) (* z (+ x y)))
(* -1 (sqrt (/ (+ x y) z)))
(* -2 (sqrt (/ (+ x y) z)))
(* (* x y) (sqrt (/ 1 (* z (+ x y)))))
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) z)
(* (sqrt (/ x z)) y)
(/ (+ (* z (+ (* 2 (sqrt (* x z))) (* (sqrt (/ z x)) y))) (* (sqrt (* x z)) y)) z)
(/ (+ (sqrt (* x z)) (sqrt (/ (pow z 3) x))) z)
(* (pow x 2) (pow y 2))
(+ (* 2 (* x (* y (* z (+ x y))))) (* (pow x 2) (pow y 2)))
(+ (* z (+ (* 2 (* x (* y (+ x y)))) (* z (pow (+ x y) 2)))) (* (pow x 2) (pow y 2)))
(* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) (pow z 2))
(sqrt (/ (+ x y) z))
(sqrt (* z (+ x y)))
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(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* 2 (sqrt (* z (+ x y))))
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(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z))))))
(+ (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (* 1/4 (/ (* x (* y (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))))) (* z (+ x y)))))
(+ (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (+ (* 1/4 (/ (* x (* y (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))))) (* z (+ x y)))) (/ (* (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow (+ x y) 2))) (* 1/32 (/ (* (pow x 2) (pow y 2)) (pow (+ x y) 2))))) (pow z 2))))
(+ (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (+ (* 1/4 (/ (* x (* y (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))))) (* z (+ x y)))) (+ (/ (* (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow (+ x y) 2))) (* 1/32 (/ (* (pow x 2) (pow y 2)) (pow (+ x y) 2))))) (pow z 2)) (/ (* (exp (* 1/4 (+ (log (+ x y)) (* -1 (log (/ 1 z)))))) (+ (* -1/32 (/ (* (pow x 3) (pow y 3)) (pow (+ x y) 3))) (+ (* 1/384 (/ (* (pow x 3) (pow y 3)) (pow (+ x y) 3))) (* 1/12 (/ (* (pow x 3) (pow y 3)) (pow (+ x y) 3)))))) (pow z 3)))))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ (* 2 (sqrt (/ x z))) (* (sqrt (/ 1 (* x z))) y)))
(* z (+ (* 2 (sqrt (/ x z))) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ x (pow z 3))) y))))
(* z (+ (sqrt (/ 1 (* x z))) (sqrt (/ x (pow z 3)))))
(* (pow z 2) (pow (+ x y) 2))
(* (pow z 2) (+ (* 2 (/ (* x (* y (+ x y))) z)) (pow (+ x y) 2)))
(* (pow z 2) (+ (* 2 (/ (* x (* y (+ x y))) z)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 2)) (pow (+ x y) 2))))
(* 2 (sqrt (/ (+ x y) z)))
(+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
(exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z))))))
(+ (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))) (* -1/4 (/ (* x (* y (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))))) (* z (+ (* -1 x) (* -1 y))))))
(+ (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow (+ (* -1 x) (* -1 y)) 2))) (* 1/32 (/ (* (pow x 2) (pow y 2)) (pow (+ (* -1 x) (* -1 y)) 2))))) z)) (* 1/4 (/ (* x (* y (exp (* 1/4 (+ (log (+ (* -1 x) (* -1 y))) (* -1 (log (/ -1 z)))))))) (+ (* -1 x) (* -1 y))))) z)))
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(* -2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* -1 (* z (+ (* -1/4 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* -1 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(* -1 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(* 2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ x (pow z 3))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2)))))))
(* (sqrt (/ z x)) (pow (sqrt -1) 2))
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* x (* y (+ x y)))) (* -1 (/ (* (pow x 2) (pow y 2)) z))) z)) (pow (+ x y) 2)))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(+ (* -1 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))
(* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))

Outputs
(sqrt (* y z))
(sqrt.f64 (*.f64 y z))
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y z) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (sqrt.f64 (.f64 y z)))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (+.f64 y z)) #s(literal 1/2 binary64))) x (sqrt.f64 (.f64 y z)))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) x)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64)))))) x (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (+.f64 y z)) #s(literal 1/2 binary64))) x (sqrt.f64 (.f64 y z)))
(* 2 (sqrt (* y z)))
(.f64 (sqrt.f64 (.f64 y z)) #s(literal 2 binary64))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
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(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
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(pow (* 1 (* y z)) 1/4)
(pow.f64 (*.f64 y z) #s(literal 1/4 binary64))
(+ (* 1/4 (* (pow (* 1 (* y z)) 1/4) (* x (+ (/ 1 y) (/ 1 z))))) (pow (* 1 (* y z)) 1/4))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) x) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 1/4 binary64)))
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(* -1 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) #s(literal 1 binary64))
(* -1 (* z (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z))))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (+.f64 x y) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)))))) (neg.f64 z))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (* x y) z)))))
(*.f64 (neg.f64 (+.f64 (fma.f64 x (/.f64 y z) y) x)) (neg.f64 z))
(* -1 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 1 binary64))
(* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal -2 binary64))
(* 2 (* (sqrt (* z (+ x y))) (pow (sqrt -1) 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x y) z))) #s(literal 2 binary64))
(* -1 (* z (+ (* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal -2 binary64) (.f64 (*.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))))) (neg.f64 z))
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)))) (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64))) (neg.f64 z))
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ x (pow z 3))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)))) (neg.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))) (neg.f64 z))
(* (sqrt (/ z x)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 z x)) #s(literal -1 binary64))
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) #s(literal 1 binary64))) (neg.f64 z))
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* x (* y (+ x y)))) (* -1 (/ (* (pow x 2) (pow y 2)) z))) z)) (pow (+ x y) 2)))
(.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 x y) y) x) #s(literal -2 binary64)) (.f64 (.f64 x x) (/.f64 (.f64 y y) z))) z)) (.f64 z z))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (-.f64 (neg.f64 x) y) (neg.f64 z))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(*.f64 (neg.f64 (+.f64 (fma.f64 x (/.f64 y z) y) x)) (neg.f64 z))
(* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 2 binary64))
(+ (* -1 (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y)))))) (* 2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 2 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))
(* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)))

rewrite289.0ms (3.1%)

Memory

-6.1MiB live, 195.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	441
0	87	367
1	339	342
2	2078	340
0	8386	337

Stop Event

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

Counts

26 → 517

Calls

Call 1

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

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

eval340.0ms (3.7%)

Memory: -16.7MiB live, 214.8MiB allocated
Compiler: Compiled 49 305 to 5 097 computations (89.7% saved)

prune143.0ms (1.5%)

Memory

22.3MiB live, 108.7MiB allocated

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	997	10	1 007
Fresh	1	25	26
Picked	2	3	5
Done	0	4	4
Total	1 000	42	1 042

Accuracy

87.2%

Counts

1 042 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.9%	(.f64 (pow.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 z x)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	23.9%	(.f64 (pow.f64 (.f64 #s(approx (+ (* (+ y x) z) (* y x)) (.f64 y z)) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	16.9%	(.f64 (pow.f64 #s(approx ( (+ (* (+ y x) z) (* y x)) (+ (* (+ y x) z) (* y x))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 y z) z) y) (.f64 (.f64 z z) (.f64 y y)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	35.2%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (.f64 (-.f64 y x) (-.f64 y x))) z (*.f64 y x))) #s(literal 2 binary64))
✓	72.2%	(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
	50.8%	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (.f64 y y)))) z (*.f64 y x))) #s(literal 2 binary64))
	57.2%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (fma.f64 z (/.f64 y x) (+.f64 z y)) x))) #s(literal 2 binary64))
	37.6%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 z y) x))) #s(literal 2 binary64))
	37.8%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))
✓	36.8%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))) #s(literal 2 binary64))
✓	3.2%	(.f64 (sqrt.f64 #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))) #s(literal 2 binary64))
	71.6%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
✓	71.7%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (.f64 z y)))) (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (.f64 z y))))))
	37.9%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (.f64 z y)))) (sqrt.f64 (sqrt.f64 #s(approx (+ ( (+ z y) x) (* z y)) (*.f64 (-.f64 (neg.f64 x) y) (neg.f64 z)))))))
	32.5%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (.f64 z y)))) #s(approx (sqrt (sqrt (+ ( (+ z y) x) (* z y)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
	30.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x)))))
	36.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))))
	50.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) x) (/.f64 x (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))))
	51.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (.f64 y z))))
	45.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))))
✓	16.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 #s(approx (+ ( (+ (/ y z) 1) x) y) (*.f64 (/.f64 x z) y)) z))))
	46.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ (* (+ (/ y z) 1) x) y) z) (.f64 (.f64 (neg.f64 z) y) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))))
	36.0%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	36.2%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
	33.0%	#s(approx (* (sqrt (+ (* (+ y x) z) (* y x))) 2) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
	3.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (/.f64 (+.f64 x z) (sqrt.f64 (.f64 x z))) y (.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
	3.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (pow.f64 (pow.f64 (.f64 x z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	3.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 x z)) #s(literal -1/2 binary64))) (+.f64 z x)) y (.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
	40.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (pow.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) z))
	46.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z))
	2.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (fabs.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
	32.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) #s(literal 2 binary64))) y)) z))
	45.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z))
	44.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
	1.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (* (sqrt (/ (+ x y) z)) -1) 2) (.f64 (fma.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) z))) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))))) y))) z))
	2.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (* (sqrt (/ (+ x y) z)) -1) 2) (*.f64 (sqrt.f64 (/.f64 x z)) #s(literal -2 binary64)))) z))
	2.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y)))
	28.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (.f64 (fma.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 2 binary64) z) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x y)))) z)))
	3.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (*.f64 (sqrt.f64 (/.f64 x y)) z)))
	15.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (.f64 #s(approx (+ ( (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) (/.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64) (sqrt.f64 (/.f64 x y))) x (sqrt.f64 (.f64 x y))) x)) z)))
	27.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (.f64 #s(approx (+ ( (/ (sqrt (* x y)) z) 2) (* (sqrt (/ 1 (* x y))) (+ x y))) (.f64 (/.f64 (sqrt.f64 (.f64 x y)) z) #s(literal 2 binary64))) z)))

Compiler

Compiled 3 838 to 1 451 computations (62.2% saved)

regimes192.0ms (2.1%)

Memory

-12.3MiB live, 144.4MiB allocated

Counts

66 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

60.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
43.0ms	z
30.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
21.0ms	x
17.0ms	y

Results

Accuracy	Segments	Branch
79.0%	2	`x`
85.7%	2	`y`
84.4%	2	`z`
85.0%	2	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
85.0%	2	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
85.0%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
85.1%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes42.0ms (0.5%)

Memory

8.0MiB live, 46.7MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
4.0ms	y
4.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
4.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
4.0ms	z

Results

Accuracy	Segments	Branch
72.2%	1	`x`
72.2%	1	`z`
72.2%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
72.2%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
72.2%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
72.2%	1	`y`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes62.0ms (0.7%)

Memory

2.0MiB live, 39.9MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

42.0ms	x
4.0ms	y
4.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
4.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
4.0ms	z

Results

Accuracy	Segments	Branch
71.0%	2	`z`
43.1%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
43.1%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
43.1%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
72.2%	2	`y`
68.7%	2	`x`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes44.0ms (0.5%)

Memory

-32.7MiB live, 6.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
71.6%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
69.2%	2	`z`
70.3%	2	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Accuracy

Total -21.4b remaining (-52.3%)

Threshold costs -21.4b (-52.3%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
36.2%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
36.2%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
36.2%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
36.2%	1	`x`
36.2%	1	`z`
36.2%	1	`y`

Compiler

Compiled 40 to 37 computations (7.5% saved)

bsearch74.0ms (0.8%)

Memory

-5.3MiB live, 39.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
70.0ms	134109094.92795537	77258441349.8663

Samples

57.0ms	128×	0	valid
6.0ms	95×	0	invalid

Compiler

Compiled 497 to 361 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 53.0ms (92.8% of total)

ival-add: 2.0ms (3.5% of total)

ival-sqrt: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch52.0ms (0.6%)

Memory

-18.9MiB live, 20.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	134109094.92795537	77258441349.8663

Samples

44.0ms	64×	0	invalid
3.0ms	48×	0	valid

Compiler

Compiled 481 to 353 computations (26.6% saved)

Precisions

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

ival-add: 40.0ms (91.5% of total)

ival-mult: 3.0ms (6.9% of total)

ival-sqrt: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch66.0ms (0.7%)

Memory

-3.9MiB live, 34.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
63.0ms	-1.5599147607555097e-251	8.12216360731317e-288

Samples

45.0ms	112×	0	valid
10.0ms	150×	0	invalid

Compiler

Compiled 304 to 234 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 44.0ms (91.8% of total)

ival-add: 2.0ms (4.2% of total)

ival-sqrt: 2.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch80.0ms (0.9%)

Memory

3.8MiB live, 42.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
75.0ms	-1.5599147607555097e-251	8.12216360731317e-288

Samples

53.0ms	211×	0	invalid
10.0ms	160×	0	valid

Compiler

Compiled 524 to 407 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (54.4% of total)

ival-add: 3.0ms (20.4% of total)

ival-sqrt: 2.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch121.0ms (1.3%)

Memory

-10.4MiB live, 44.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
117.0ms	-1.5599147607555097e-251	8.12216360731317e-288

Samples

92.0ms	176×	0	valid
13.0ms	204×	0	invalid

Compiler

Compiled 498 to 394 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 89.0ms (93.6% of total)

ival-add: 3.0ms (3.2% of total)

ival-sqrt: 2.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify39.0ms (0.4%)

Memory

-4.7MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	285
1	91	285

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 500000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal 550000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
(if (<=.f64 y #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal 5486124068793689/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064 binary64)) (.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(if (<=.f64 y #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))

Outputs
(if (<=.f64 y #s(literal 500000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal 500000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) z (.f64 x y)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal 550000000 binary64)) (.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal 550000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) z (.f64 x y)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) z (.f64 x y))))
(if (<=.f64 y #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (.f64 #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (.f64 (+.f64 z y) x))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal 5486124068793689/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064 binary64)) (.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(if (<=.f64 y #s(literal 5486124068793689/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064 binary64)) (.f64 #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (.f64 (+.f64 z y) x))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(if (<=.f64 y #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (.f64 x y))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
(.f64 #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))

soundness596.0ms (6.4%)

Memory

40.4MiB live, 590.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	3060
1	1684	2998
2	6236	2955
0	8106	2838
0	11	44
0	18	36
1	55	36
2	435	36
3	6667	36
0	8469	33
0	1249	8740
1	4254	8266
2	7895	8266
0	8483	7930

Stop Event

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

Compiler

Compiled 483 to 197 computations (59.2% saved)

preprocess128.0ms (1.4%)

Memory: -37.3MiB live, 207.4MiB allocated
Compiler: Compiled 1 112 to 458 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze253.0ms (2.7%)

sample1.9s (20.9%)

explain180.0ms (1.9%)

preprocess124.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize30.0ms (0.3%)

series42.0ms (0.5%)

simplify226.0ms (2.4%)

rewrite290.0ms (3.1%)

eval41.0ms (0.4%)

prune25.0ms (0.3%)

simplify247.0ms (2.7%)

localize119.0ms (1.3%)

series141.0ms (1.5%)

simplify256.0ms (2.8%)

rewrite200.0ms (2.2%)

eval554.0ms (6%)

prune124.0ms (1.3%)

simplify217.0ms (2.4%)

localize256.0ms (2.8%)

series76.0ms (0.8%)

simplify217.0ms (2.3%)

rewrite254.0ms (2.7%)

eval140.0ms (1.5%)

prune70.0ms (0.8%)

simplify330.0ms (3.6%)

localize160.0ms (1.7%)

series246.0ms (2.7%)

simplify203.0ms (2.2%)

rewrite289.0ms (3.1%)

eval340.0ms (3.7%)

prune143.0ms (1.5%)

regimes192.0ms (2.1%)

regimes6.0ms (0.1%)

regimes42.0ms (0.5%)

regimes62.0ms (0.7%)

regimes44.0ms (0.5%)

regimes5.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch74.0ms (0.8%)

bsearch52.0ms (0.6%)

bsearch66.0ms (0.7%)

bsearch80.0ms (0.9%)

bsearch121.0ms (1.3%)

simplify39.0ms (0.4%)

soundness596.0ms (6.4%)

preprocess128.0ms (1.4%)

end0.0ms (0%)

Profiling