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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze224.0ms (3%)

Memory

31.5MiB live, 301.7MiB 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)

sample1.8s (23.3%)

Memory

-12.6MiB live, 1 931.9MiB allocated

Samples

726.0ms	8 256×	0	valid
450.0ms	4 525×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 699.0ms

ival-mult: 403.0ms (57.7% of total)

ival-add: 149.0ms (21.3% of total)

ival-sqrt: 122.0ms (17.5% of total)

ival-true: 10.0ms (1.4% of total)

exact: 8.0ms (1.1% of total)

ival-assert: 6.0ms (0.9% of total)

Bogosity

explain143.0ms (1.9%)

Memory

26.4MiB live, 140.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
74	-	3	(2.098130955616339e-71 1.5797390710037912e-285 1.9977279162282193e-246)	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
7	-	0	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
5	-	0	-	`(+.f64 (.f64 x y) (.f64 x 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	65	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	overflow	65
↳	`(*.f64 y z)`	overflow	28
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	53
↳	`(*.f64 x z)`	overflow	37
↳	`(*.f64 x y)`	overflow	27
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	nan-rescue	7	0
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	53
↳	`(*.f64 x z)`	overflow	37
↳	`(*.f64 x y)`	overflow	27
↳	`(*.f64 y z)`	overflow	28
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	uflow-rescue	6	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	underflow	6
↳	`(*.f64 y z)`	underflow	31
↳	`(+.f64 (.f64 x y) (.f64 x z))`	underflow	8
↳	`(*.f64 x z)`	underflow	33
↳	`(*.f64 x y)`	underflow	30
`+.f64`	`(+.f64 (.f64 x y) (.f64 x z))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	27
↳	`(*.f64 x z)`	overflow	37

Confusion

	Predicted +	Predicted -
+	71	3
-	0	182

Precision

1.0

Recall

0.9594594594594594

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	3
-	0	0	182

Precision?

1.0

Recall?

0.9594594594594594

Freqs

test

number	freq
0	185
1	62
2	6
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 132 to 37 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 13.0ms (48.1% of total)

ival-add: 9.0ms (33.3% of total)

ival-sqrt: 4.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess58.0ms (0.8%)

Memory

-36.9MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	118
1	133	112
2	236	108
3	446	108
4	931	108
5	1456	108
6	1852	108
7	1944	108
8	1962	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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.2%	(.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 (0.1%)

Memory

0.7MiB live, 0.7MiB 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	1	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
cost-diff	2	(+.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)

localize26.0ms (0.3%)

Memory

18.0MiB live, 18.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
accuracy	1.0078125000000002	(+.f64 (.f64 x y) (.f64 x z))
accuracy	1.0117187500000002	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
accuracy	17.025630059928233	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Samples

19.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (56.1% of total)

ival-add: 2.0ms (18.7% of total)

ival-sqrt: 2.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.5%)

Memory

-5.3MiB live, 33.1MiB 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
18.0ms	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))))
4.0ms	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	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))))

simplify199.0ms (2.6%)

Memory

-11.6MiB live, 145.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	3060
1	1684	2998
2	6316	2955
0	8092	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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(* 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))))
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(* z (+ (* 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)))))) (+ (* 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))

rewrite241.0ms (3.2%)

Memory

10.0MiB live, 200.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	18	36
1	55	36
2	435	36
3	6729	36
0	8531	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)))

eval69.0ms (0.9%)

Memory: 4.1MiB live, 90.7MiB allocated
Compiler: Compiled 11 438 to 1 656 computations (85.5% saved)

prune45.0ms (0.6%)

Memory

-10.0MiB live, 29.4MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	294	19	313
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	295	19	314

Accuracy

84.6%

Counts

314 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.0%	(.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)))
	43.0%	(.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)))
	19.2%	(.f64 #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)))))
	72.4%	(.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))))))
	69.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (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))))
▶	73.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
	72.4%	(.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))))))
	42.0%	(.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))))
	58.0%	(.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))))
▶	36.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	34.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
	68.3%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 y x) z (*.f64 y x))) #s(literal 1/2 binary64))))
	39.8%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 (+.f64 z y) x))))
	3.4%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 z x))))
▶	38.5%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
	34.3%	#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))))
▶	3.2%	#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))))
	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))
▶	37.5%	#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 880 to 598 computations (32% saved)

simplify11.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	387
0	74	373
1	123	366
2	197	366
3	304	366
4	368	366
0	368	366

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize199.0ms (2.6%)

Memory

10.9MiB live, 130.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.291674536525418	(.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	7.3126857193385195	(sqrt.f64 (/.f64 (+.f64 y x) z))
accuracy	11.240447768731523	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
accuracy	15.12964114927178	#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	0.14026129138909577	(/.f64 #s(literal 1 binary64) (*.f64 z x))
accuracy	3.881921702374289	(sqrt.f64 (*.f64 z x))
accuracy	4.015759657952825	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
accuracy	27.29936969839981	#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	0.0	(*.f64 (+.f64 y x) z)
accuracy	0.0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
accuracy	6.725625641101217	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))
accuracy	12.618451654728373	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
accuracy	7.439086591351042	(sqrt.f64 (*.f64 y x))
accuracy	13.881198931841437	#s(approx (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x)))
accuracy	0.0	(+.f64 z x)
accuracy	0.0	(*.f64 z x)
accuracy	0.0	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
accuracy	6.725625641101217	(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))

Samples

85.0ms	118×	0	valid
37.0ms	138×	0	invalid

Compiler

Compiled 323 to 42 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 51.0ms (63% of total)

ival-sqrt: 11.0ms (13.6% of total)

ival-add: 8.0ms (9.9% of total)

ival-div: 7.0ms (8.6% of total)

ival-pow: 4.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series120.0ms (1.6%)

Memory

4.4MiB live, 79.8MiB allocated

Counts

24 → 242

Calls

Call 1

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

Outputs
(* 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)))))))))))
(* y z)
(+ (* x (+ y z)) (* y z))
z
(+ x z)
(sqrt (* x y))
(* x y)
(+ (* x z) (* y z))
(* (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)))
(+ (* 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 (* y (pow z 3))))
(+ (sqrt (/ 1 (* y (pow z 3)))) (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))))
(+ (sqrt (/ 1 (* y (pow z 3)))) (* x (+ (* -1/2 (sqrt (/ 1 (* (pow y 3) (pow z 3))))) (* 3/8 (* x (sqrt (/ 1 (* (pow y 5) (pow z 3)))))))))
(+ (sqrt (/ 1 (* y (pow z 3)))) (* x (+ (* -1/2 (sqrt (/ 1 (* (pow y 3) (pow z 3))))) (* x (+ (* -5/16 (* x (sqrt (/ 1 (* (pow y 7) (pow z 3)))))) (* 3/8 (sqrt (/ 1 (* (pow y 5) (pow z 3))))))))))
(* x z)
(sqrt (* x z))
(/ 1 (* x z))
(sqrt (/ y z))
(+ (sqrt (/ y z)) (* 1/2 (* x (sqrt (/ 1 (* y z))))))
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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)))))))))))
(* -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 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -2 (* (sqrt (* x z)) (/ 1 y))) (* -1 (* (sqrt (/ 1 (* x z))) (+ x z))))))
(* -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 (* (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)))
(* z (+ x y))
(* (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)
(* (* 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))))
(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 (/ (* x y) z))))
(* z (+ 1 (/ x 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)))))
(* 2 (sqrt (/ (+ x y) z)))
(+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))
(* -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 (- (* -1 (/ x z)) 1)))
(* -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))))))
(* 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
41.0ms	z	@	0	((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* y x)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ y x) 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))) (* 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))) (* z x) (sqrt (* z x)) (/ 1 (* z x)) (sqrt (/ (+ y x) z)))
26.0ms	x	@	-inf	((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* y x)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ y x) 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))) (* 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))) (* z x) (sqrt (* z x)) (/ 1 (* z x)) (sqrt (/ (+ y x) z)))
13.0ms	y	@	-inf	((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* y x)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ y x) 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))) (* 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))) (* z x) (sqrt (* z x)) (/ 1 (* z x)) (sqrt (/ (+ y x) z)))
7.0ms	x	@	0	((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* y x)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ y x) 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))) (* 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))) (* z x) (sqrt (* z x)) (/ 1 (* z x)) (sqrt (/ (+ y x) z)))
7.0ms	z	@	-inf	((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* y x)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ y x) 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))) (* 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))) (* z x) (sqrt (* z x)) (/ 1 (* z x)) (sqrt (/ (+ y x) z)))

simplify264.0ms (3.5%)

Memory

16.2MiB live, 162.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1200	8561
1	4087	8072
2	7611	8072
0	8031	7742

Stop Event

1×	iter limit
1×	node limit

Counts

242 → 240

Calls

Call 1

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

rewrite221.0ms (2.9%)

Memory

2.1MiB live, 247.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	314
0	74	300
1	266	278
2	1776	278
0	8513	278

Stop Event

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

Counts

24 → 612

Calls

Call 1

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

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

eval249.0ms (3.3%)

Memory: 5.0MiB live, 245.3MiB allocated
Compiler: Compiled 41 032 to 4 670 computations (88.6% saved)

prune65.0ms (0.9%)

Memory

-28.1MiB live, 91.7MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	909	17	926
Fresh	8	6	14
Picked	2	3	5
Done	0	0	0
Total	919	26	945

Accuracy

88.3%

Counts

945 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.0%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 x y) z)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 1/4 binary64)))
	72.4%	(.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))))))
▶	69.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (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))))
✓	73.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
▶	54.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y #s(approx (+ z x) (.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 z x))))
▶	72.4%	(.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))))))
	36.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z y (*.f64 x z)))))
✓	36.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	34.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
	21.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ y x) z) (*.f64 (fma.f64 y (/.f64 z x) z) x)))))
	31.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ y x) z) (*.f64 (fma.f64 x (/.f64 z y) z) y)))))
	39.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ ( y (+ z x)) (* z x)) (*.f64 (+.f64 z y) x))))
▶	3.4%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 z x))))
✓	38.5%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
	3.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z x))) (+ z x)) (neg.f64 (sqrt.f64 (/.f64 x z)))) y (.f64 (sqrt.f64 (.f64 z 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))
	36.8%	#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 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 x y)))) #s(literal 2 binary64))) z))
	43.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))))) z))
	2.0%	#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 x z)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
	29.1%	#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 (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))
	2.2%	#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)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
	45.2%	#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)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z))
▶	43.5%	#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 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)))) #s(literal 2 binary64))))) z))
	2.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
	2.3%	#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)))

Compiler

Compiled 1 718 to 1 133 computations (34.1% saved)

simplify124.0ms (1.6%)

Memory

28.6MiB live, 146.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (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)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (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))))
cost-diff	2	(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))
cost-diff	12	(.f64 (.f64 (-.f64 y z) x) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 y #s(approx (+ z x) (.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (.f64 z x))
cost-diff	0	(sqrt.f64 (fma.f64 y #s(approx (+ z x) (.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (.f64 z x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y #s(approx (+ z x) (.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 z x))))
cost-diff	4	(*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
cost-diff	0	#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)))
cost-diff	0	(.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)
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 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
cost-diff	0	(*.f64 z x)
cost-diff	0	(sqrt.f64 (*.f64 z x))
cost-diff	0	#s(approx (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 z x)))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 z x))))
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	4	(/.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	60	440
0	93	368
1	153	365
2	270	365
3	617	365
4	4830	345
5	6804	345
0	8609	342

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

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

localize196.0ms (2.6%)

Memory

-3.3MiB live, 229.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (-.f64 y z) x)
accuracy	0.20056320474851633	(pow.f64 (*.f64 (-.f64 y z) x) #s(literal -1 binary64))
accuracy	5.410211271016506	(.f64 (.f64 (-.f64 y z) x) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal -1 binary64)))
accuracy	6.725625641101217	(sqrt.f64 (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)))
accuracy	0.0	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y #s(approx (+ z x) (.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 z x))))
accuracy	0.0	#s(approx (+ z x) (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z))
accuracy	6.325840296377481	(*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)
accuracy	6.725625641101217	(sqrt.f64 (fma.f64 y #s(approx (+ z x) (.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (.f64 z x)))
accuracy	2.672026987669905	(sqrt.f64 (/.f64 y z))
accuracy	4.291674536525418	(.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)
accuracy	14.980228922600643	#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)))
accuracy	15.12964114927178	#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))
accuracy	0.0	(*.f64 z x)
accuracy	0.0	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 z x))))
accuracy	3.881921702374289	(sqrt.f64 (*.f64 z x))
accuracy	27.367681438540092	#s(approx (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 z x)))
accuracy	0.0	(.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))))))
accuracy	0.18139566335942056	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	0.1836572614983093	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))
accuracy	6.725625641101217	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))

Samples

74.0ms	118×	0	valid
58.0ms	138×	0	invalid

Compiler

Compiled 364 to 58 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 59.0ms (56.2% of total)

ival-sqrt: 15.0ms (14.3% of total)

ival-div: 11.0ms (10.5% of total)

ival-add: 11.0ms (10.5% of total)

ival-pow: 7.0ms (6.7% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series88.0ms (1.2%)

Memory

-8.7MiB live, 96.5MiB allocated

Counts

24 → 249

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

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

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	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))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* z x)) (* z 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 (/ y z)) 2) (* (+ (/ x z) 1) z) (* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (* (* (- y z) x) (pow (* (- y z) x) -1)) (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y)) (* 2 (sqrt (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y)))) (sqrt (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y))) (sqrt (/ y z)) (+ z x) (pow (* (- y z) x) -1) (* (- y z) x))
24.0ms	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))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* z x)) (* z 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 (/ y z)) 2) (* (+ (/ x z) 1) z) (* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (* (* (- y z) x) (pow (* (- y z) x) -1)) (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y)) (* 2 (sqrt (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y)))) (sqrt (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y))) (sqrt (/ y z)) (+ z x) (pow (* (- y z) x) -1) (* (- y z) x))
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))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* z x)) (* z 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 (/ y z)) 2) (* (+ (/ x z) 1) z) (* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (* (* (- y z) x) (pow (* (- y z) x) -1)) (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y)) (* 2 (sqrt (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y)))) (sqrt (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y))) (sqrt (/ y z)) (+ z x) (pow (* (- y z) x) -1) (* (- y z) x))
4.0ms	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))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* z x)) (* z 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 (/ y z)) 2) (* (+ (/ x z) 1) z) (* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (* (* (- y z) x) (pow (* (- y z) x) -1)) (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y)) (* 2 (sqrt (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y)))) (sqrt (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y))) (sqrt (/ y z)) (+ z x) (pow (* (- y z) x) -1) (* (- y z) x))
4.0ms	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))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (sqrt (* z x)) (* z 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 (/ y z)) 2) (* (+ (/ x z) 1) z) (* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (* (* (- y z) x) (pow (* (- y z) x) -1)) (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y)) (* 2 (sqrt (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y)))) (sqrt (+ (* (* (+ z y) x) (* (* (- y z) x) (pow (* (- y z) x) -1))) (* z y))) (sqrt (/ y z)) (+ z x) (pow (* (- y z) x) -1) (* (- y z) x))

simplify224.0ms (3%)

Memory

-2.3MiB live, 314.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1349	8952
1	4702	8555
0	8088	8254

Stop Event

1×	iter limit
1×	node limit

Counts

249 → 247

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

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

rewrite209.0ms (2.8%)

Memory

-0.4MiB live, 233.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	377
0	93	317
1	365	296
2	2474	296
0	8326	293

Stop Event

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

Counts

24 → 573

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

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

eval274.0ms (3.6%)

Memory: -21.4MiB live, 177.5MiB allocated
Compiler: Compiled 27 503 to 3 667 computations (86.7% saved)

prune43.0ms (0.6%)

Memory

27.1MiB live, 73.9MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	663	12	675
Fresh	7	11	18
Picked	2	3	5
Done	0	3	3
Total	672	29	701

Accuracy

88.3%

Counts

701 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.4%	(.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))))))
▶	72.9%	(.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))))))
	49.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 (+.f64 z y) x) (.f64 (.f64 (-.f64 y z) x) #s(approx (pow (* (- y z) x) -1) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (.f64 z y))))
	55.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (+.f64 z y) x) (-.f64 y z)) (/.f64 x (.f64 (-.f64 y z) x)) (*.f64 z y))))
✓	73.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
✓	54.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y #s(approx (+ z x) (.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 z x))))
	39.8%	(.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 (+.f64 z y) x))))))
	39.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (/ 1 (/ 1 (+ ( (+ y x) z) (* y x)))) (*.f64 (+.f64 z y) x))))
▶	34.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (/ 1 (/ 1 (+ ( (+ y x) z) (* y x)))) (*.f64 z y))))
	36.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z y (*.f64 x z)))))
✓	36.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	21.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ y x) z) (*.f64 (fma.f64 y (/.f64 z x) z) x)))))
	31.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ y x) z) (*.f64 (fma.f64 x (/.f64 z y) z) y)))))
✓	3.4%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 z x))))
✓	38.5%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
	33.0%	#s(approx (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))) (.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 #s(approx (* (sqrt (/ 1 (* z x))) (+ z x)) (neg.f64 (sqrt.f64 (/.f64 x z)))) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	2.0%	#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))
	47.0%	#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 y) #s(literal 2 binary64)) (sqrt.f64 z))) z))
	29.1%	#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 (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))
	30.0%	#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 (pow.f64 (.f64 (/.f64 y z) (/.f64 y z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
▶	42.8%	#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) #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)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
▶	45.2%	#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)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z))
✓	43.5%	#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 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)))) #s(literal 2 binary64))))) z))
	2.0%	#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 #s(approx (sqrt (/ y z)) (neg.f64 (sqrt.f64 (/.f64 y z)))) #s(literal 2 binary64))) z))
▶	2.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
	2.3%	#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)))

Compiler

Compiled 1 933 to 1 286 computations (33.5% saved)

simplify33.0ms (0.4%)

Memory

-22.1MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) y (.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)
cost-diff	0	#s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
cost-diff	0	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) #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 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) #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 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) #s(literal 2 binary64))) z))
cost-diff	2	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))
cost-diff	0	#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)))
cost-diff	0	(.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)
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 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (*.f64 z y))
cost-diff	0	(sqrt.f64 #s(approx (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (*.f64 z y)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (/ 1 (/ 1 (+ ( (+ y x) z) (* y x)))) (*.f64 z y))))
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	12	(.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	71	572
0	100	519
1	172	516
2	249	516
3	365	516
4	435	516
5	555	516
6	583	516
7	613	516
8	675	516
9	680	516
10	694	516
11	712	516
12	712	516
0	712	508

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

localize382.0ms (5%)

Memory

-6.4MiB live, 272.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.015759657952825	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))
accuracy	11.621459093484837	(sqrt.f64 (/.f64 z x))
accuracy	13.833553425902412	#s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x))
accuracy	27.29936969839981	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
accuracy	2.4735373418097177	(sqrt.f64 (/.f64 z y))
accuracy	4.291674536525418	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) #s(literal 2 binary64))) z)
accuracy	14.980228922600643	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) #s(literal 2 binary64)))
accuracy	15.12964114927178	#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 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) #s(literal 2 binary64))) z))
accuracy	4.291674536525418	(.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)
accuracy	7.3126857193385195	(sqrt.f64 (/.f64 (+.f64 x y) z))
accuracy	14.36534006705011	#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)))
accuracy	15.12964114927178	#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))
accuracy	0.0	(*.f64 z y)
accuracy	0.0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (/ 1 (/ 1 (+ ( (+ y x) z) (* y x)))) (*.f64 z y))))
accuracy	6.725625641101217	(sqrt.f64 #s(approx (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (*.f64 z y)))
accuracy	13.90813846373602	#s(approx (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (*.f64 z y))
accuracy	0.0078125	(fma.f64 (+.f64 z y) x (*.f64 z y))
accuracy	0.05859375	(sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 z y))))
accuracy	0.26009750976844204	(.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	6.725625641101217	(sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)))

Samples

108.0ms	138×	0	invalid
54.0ms	118×	0	valid

Compiler

Compiled 411 to 66 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 63.0ms (52.7% of total)

ival-sqrt: 22.0ms (18.4% of total)

ival-div: 17.0ms (14.2% of total)

ival-add: 13.0ms (10.9% of total)

ival-pow: 4.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series97.0ms (1.3%)

Memory

22.6MiB live, 98.2MiB allocated

Counts

25 → 287

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	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))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* z 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 y) z)) 2) (* (/ 1 (sqrt (/ z y))) 2) (* 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)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z x)) 2)) x) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z x)) 2)) (+ (* (+ z y) x) (* z y)) (sqrt (/ (+ x y) z)) (sqrt (/ z y)) (sqrt (/ z x)) (sqrt (/ 1 (* x z))))
15.0ms	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))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* z 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 y) z)) 2) (* (/ 1 (sqrt (/ z y))) 2) (* 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)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z x)) 2)) x) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z x)) 2)) (+ (* (+ z y) x) (* z y)) (sqrt (/ (+ x y) z)) (sqrt (/ z y)) (sqrt (/ z x)) (sqrt (/ 1 (* x z))))
15.0ms	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))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* z 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 y) z)) 2) (* (/ 1 (sqrt (/ z y))) 2) (* 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)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z x)) 2)) x) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z x)) 2)) (+ (* (+ z y) x) (* z y)) (sqrt (/ (+ x y) z)) (sqrt (/ z y)) (sqrt (/ z x)) (sqrt (/ 1 (* x z))))
11.0ms	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))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* z 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 y) z)) 2) (* (/ 1 (sqrt (/ z y))) 2) (* 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)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z x)) 2)) x) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z x)) 2)) (+ (* (+ z y) x) (* z y)) (sqrt (/ (+ x y) z)) (sqrt (/ z y)) (sqrt (/ z x)) (sqrt (/ 1 (* x z))))
8.0ms	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))) (* 2 (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))))) (sqrt (/ 1 (/ 1 (+ (* (+ y x) z) (* y x))))) (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (* z 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 y) z)) 2) (* (/ 1 (sqrt (/ z y))) 2) (* 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)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z x)) 2)) x) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z x)) 2)) (+ (* (+ z y) x) (* z y)) (sqrt (/ (+ x y) z)) (sqrt (/ z y)) (sqrt (/ z x)) (sqrt (/ 1 (* x z))))

simplify296.0ms (3.9%)

Memory

18.6MiB live, 215.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1536	11062
1	5377	10269
0	8607	9879

Stop Event

1×	iter limit
1×	node limit

Counts

287 → 287

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))
(+ (* 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))))))))))))))
(+ (* 2 (sqrt (/ y z))) (* x (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (* -1/4 (* x (sqrt (/ 1 (* (pow y 3) z))))))))
(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (* x (+ (* -1/4 (sqrt (/ 1 (* (pow y 3) z)))) (* 1/8 (* x (sqrt (/ 1 (* (pow y 5) z))))))))))
(* (sqrt (/ z x)) y)
(/ (+ (* x (+ (* 2 (sqrt (* x z))) (* (sqrt (/ x z)) y))) (* (sqrt (* x z)) y)) x)
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ x z)) y))
(/ (+ (* 2 (sqrt (* x z))) (* (sqrt (/ x z)) y)) x)
(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 (/ z x))
(sqrt (/ 1 (* 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))))
(* 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))))))))
(* 2 (sqrt (/ x z)))
(* x (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* (pow x 3) z))) y)))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))) (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* (pow x 3) z))) y))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) z))) (pow y 3))) (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* (pow x 3) z))) y)))))
(* 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))))
(+ (* 2 (sqrt (/ z x))) (* (sqrt (/ 1 (* x z))) y))
(sqrt (/ x z))
(* 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)))))))))
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(* -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))))))))))
(* -2 (* (sqrt (/ y z)) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z)))))))
(* -1 (* y (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z))))))))
(* -1 (* y (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/8 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) z))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z)))))))))
(* -2 (sqrt (/ y z)))
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(* -1 (* y (+ (* -2 (* (sqrt (* x z)) (/ 1 y))) (* -1 (sqrt (/ x z))))))
(* -1 (* y (+ (* -2 (* (sqrt (/ z x)) (/ 1 y))) (* -1 (sqrt (/ 1 (* x z)))))))
(* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 2)))
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(* -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))))))
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(* (sqrt (/ z y)) (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)))
(* (* 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))
(* 2 (sqrt (/ (+ x y) z)))
(/ (+ (* z (+ (* 2 (sqrt (* x z))) (* (sqrt (/ z x)) y))) (* (sqrt (* x z)) y)) z)
(/ (+ (* 2 (sqrt (* x (pow z 3)))) (* (sqrt (* x z)) y)) z)
(/ (+ (* 2 (sqrt (/ (pow z 3) x))) (* (sqrt (/ z x)) y)) z)
(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))))
(+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))
(* 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 (+ (* 2 (sqrt (/ x z))) (* (sqrt (/ x (pow z 3))) y)))
(* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) 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)))))
(* 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 (* 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)))))))
(* -2 (* (sqrt (* x z)) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* -1 (* (sqrt (/ x (pow z 3))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))))))
(* -2 (* (sqrt (/ z x)) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ z y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ z x)) (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)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (.f64 (+.f64 y z) x) (.f64 (sqrt.f64 (.f64 y z)) #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 #s(literal -1/4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (+.f64 y z))) x (.f64 (sqrt.f64 (.f64 y z)) #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) (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 1/8 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) (+.f64 y z))) x (.f64 (sqrt.f64 (.f64 y z)) #s(literal 2 binary64)))
(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)))
(+ (* 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))
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(fma.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 (.f64 x y) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z))))) z) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(+ (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)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 x y) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z))))) (+.f64 x y)) (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (.f64 (/.f64 (.f64 (.f64 x x) (*.f64 y y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -3/32 binary64))) (neg.f64 z))) 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)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 x y) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z))))) (+.f64 x y)) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 y y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -3/32 binary64)) (/.f64 (.f64 (.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) #s(literal 7/128 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) z))))) (neg.f64 z))) (neg.f64 z))) 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 -1/4 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 #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 z #s(literal 7 binary64))) (pow.f64 (+.f64 x y) #s(literal 5 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 (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))) (.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 x (/.f64 y z) (+.f64 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 (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)))))
(* -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 x z))) #s(literal 2 binary64) (.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))))) (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 y) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (neg.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64))) (neg.f64 z))
(* -2 (* (sqrt (* x z)) (pow (sqrt -1) 2)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x z))) #s(literal -1 binary64))
(* -1 (* z (+ (* -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 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))
(* -2 (* (sqrt (/ z x)) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 z x))) #s(literal -2 binary64))
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)))) #s(literal 2 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 x (/.f64 y z) (+.f64 x y))) (neg.f64 z))
(* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64))
(* -1 (* (sqrt (/ z y)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(* -1 (* (sqrt (/ z x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 z x))

rewrite211.0ms (2.8%)

Memory

-13.5MiB live, 263.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	512
0	100	459
1	408	435
2	2495	435
0	8269	423

Stop Event

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

Counts

25 → 508

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

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

eval167.0ms (2.2%)

Memory: -3.1MiB live, 275.3MiB allocated
Compiler: Compiled 47 759 to 4 726 computations (90.1% saved)

prune51.0ms (0.7%)

Memory

-12.3MiB live, 148.0MiB allocated

Pruning

31 alts after pruning (23 fresh and 8 done)

	Pruned	Kept	Total
New	906	11	917
Fresh	6	12	18
Picked	3	2	5
Done	0	6	6
Total	915	31	946

Accuracy

88.4%

Counts

946 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.1%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (/ 1 (/ 1 (+ (* (+ y x) z) (* y x)))) (.f64 y z)) #s(approx (/ 1 (/ 1 (+ ( (+ y x) z) (* y x)))) (*.f64 y z))) #s(literal 1/4 binary64)))
	72.4%	(.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))))))
	49.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 (+.f64 z y) x) (.f64 (.f64 (-.f64 y z) x) #s(approx (pow (* (- y z) x) -1) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (.f64 z y))))
	55.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 (+.f64 z y) x) (-.f64 y z)) (/.f64 x (.f64 (-.f64 y z) x)) (*.f64 z y))))
✓	73.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
✓	54.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y #s(approx (+ z x) (.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 z x))))
	39.8%	(.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 (+.f64 z y) x))))))
	39.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (/ 1 (/ 1 (+ ( (+ y x) z) (* y x)))) (*.f64 (+.f64 z y) x))))
✓	34.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (/ 1 (/ 1 (+ ( (+ y x) z) (* y x)))) (*.f64 z y))))
	36.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (fma.f64 z y (*.f64 x z)))))
✓	36.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	21.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ y x) z) (*.f64 (fma.f64 y (/.f64 z x) z) x)))))
✓	3.4%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 z x))))
✓	38.5%	(.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (+ ( x y) (* x z)) (* y z))) (sqrt.f64 (*.f64 y x))))
	33.0%	#s(approx (* 2 (* (sqrt (sqrt (+ (* (+ z y) x) (* z y)))) (sqrt (sqrt (+ (* (+ z y) x) (* z y)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 x z))) (.f64 x z) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64))) y))
	47.0%	#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 y) #s(literal 2 binary64)) (sqrt.f64 z))) z))
	42.8%	#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 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)))) z))
	29.1%	#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 (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))
	30.2%	#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)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
	30.0%	#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 (pow.f64 (.f64 (/.f64 y z) (/.f64 y z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
	43.5%	#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 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) z))
	47.0%	#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 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (sqrt.f64 y))) #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)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
✓	45.2%	#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)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z))
✓	43.5%	#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))
	2.0%	#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)) #s(approx (* (/ 1 (sqrt (/ z y))) 2) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 y z))))) z))
	42.1%	#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)) #s(approx (* (sqrt (/ (+ x y) z)) 2) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) x)))) z))
	1.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 x))) y (.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
	1.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 z))) y (.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
	2.3%	#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)))
	2.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 #s(approx (+ ( (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z x)) 2)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) y)) x)))

Compiler

Compiled 3 393 to 1 228 computations (63.8% saved)

regimes149.0ms (2%)

Memory

27.8MiB live, 224.7MiB allocated

Counts

60 → 3

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

Outputs

#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))

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

Calls

6 calls:

46.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
29.0ms	z
19.0ms	y
18.0ms	x
17.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))

Results

Accuracy	Segments	Branch
81.7%	2	`x`
85.4%	2	`y`
84.7%	2	`z`
87.5%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
87.5%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
87.5%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes33.0ms (0.4%)

Memory

-16.7MiB live, 67.5MiB allocated

Counts

34 → 3

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

Outputs

#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))

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

Calls

3 calls:

11.0ms

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

10.0ms

(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))

10.0ms

(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))

Results

Accuracy	Segments	Branch
87.3%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
87.3%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
87.3%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes21.0ms (0.3%)

Memory

2.8MiB live, 42.1MiB allocated

Counts

14 → 3

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

Outputs

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

Calls

4 calls:

6.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
5.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
5.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
5.0ms	y

Results

Accuracy	Segments	Branch
85.2%	2	`y`
86.8%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
86.8%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
86.8%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes27.0ms (0.3%)

Memory

16.3MiB live, 55.6MiB allocated

Counts

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

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

Calls

6 calls:

5.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
4.0ms	z
4.0ms	y
4.0ms	(+.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)))

Results

Accuracy	Segments	Branch
73.2%	1	`x`
73.2%	1	`z`
73.2%	1	`y`
73.2%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
73.2%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
73.2%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes35.0ms (0.5%)

Memory

-37.1MiB live, 49.8MiB allocated

Counts

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

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:

15.0ms	x
4.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
4.0ms	y
4.0ms	z
4.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Results

Accuracy	Segments	Branch
69.7%	2	`x`
69.2%	2	`z`
73.2%	2	`y`
46.3%	4	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
46.3%	4	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
46.3%	4	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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 #s(literal 2 binary64) (sqrt.f64 #s(approx (/ 1 (/ 1 (+ ( (+ y x) z) (* y x)))) (*.f64 z y))))
(.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 (+ ( y (+ z x)) (* z x)) (*.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
71.2%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

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

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
70.0%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

-9.2MiB live, 30.1MiB allocated

Accuracy

Total -22.7b remaining (-57.7%)

Threshold costs -22.7b (-57.7%)

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:

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

Results

Accuracy	Segments	Branch
38.5%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
38.5%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
38.5%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
38.5%	1	`z`
38.5%	1	`x`
38.5%	1	`y`

Compiler

Compiled 40 to 37 computations (7.5% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5052575760432435e+307	+inf
0.0ms	2.0089720238506e-311	1.267090418634065e-306

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5052575760432435e+307	+inf
0.0ms	2.0089720238506e-311	1.267090418634065e-306

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5052575760432435e+307	+inf
0.0ms	2.485065008e-314	2.0089720238506e-311

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	-8.215762103729463e-305	1.4292800831569602e-298

Samples

2.0ms	25×	0	invalid
1.0ms	16×	0	valid

Compiler

Compiled 58 to 48 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (62.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch37.0ms (0.5%)

Memory

-12.8MiB live, 64.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-8.215762103729463e-305	1.4292800831569602e-298

Samples

14.0ms	157×	0	invalid
9.0ms	144×	0	valid

Compiler

Compiled 407 to 317 computations (22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (57.4% of total)

ival-add: 3.0ms (24.6% of total)

ival-sqrt: 2.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch59.0ms (0.8%)

Memory

23.2MiB live, 65.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
55.0ms	-8.215762103729463e-305	1.4292800831569602e-298

Samples

33.0ms	144×	0	valid
12.0ms	179×	0	invalid

Compiler

Compiled 387 to 307 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 31.0ms (84.6% of total)

ival-add: 3.0ms (8.2% of total)

ival-sqrt: 2.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify44.0ms (0.6%)

Memory

-28.0MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	509
1	127	509
2	163	509
3	208	509
4	239	509

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z 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)) #s(approx (* (sqrt (/ (+ x y) z)) 2) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) x)))) z))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z 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)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 2024022533/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z 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)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
(if (<=.f64 y #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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 6597562568034857/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 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 -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z 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)) #s(approx (* (sqrt (/ (+ x y) z)) 2) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y z))) x)))) z))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z 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)) #s(approx (* (sqrt (/ (+ x y) z)) 2) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (pow.f64 (.f64 y z) #s(literal -1 binary64))) x)))) z))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z 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)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 2024022533/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z 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)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))))
(if (or (<=.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 2024022533/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (not (<=.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 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 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 z x))))
(if (<=.f64 y #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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 6597562568034857/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 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 -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))))

soundness728.0ms (9.6%)

Memory

29.4MiB live, 694.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1200	8561
1	4087	8072
2	7611	8072
0	8031	7742
0	501	3060
1	1684	2998
2	6316	2955
0	8092	2838
0	1536	11062
1	5377	10269
0	8607	9879
0	11	44
0	18	36
1	55	36
2	435	36
3	6729	36
0	8531	33

Stop Event

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

Compiler

Compiled 725 to 262 computations (63.9% saved)

preprocess94.0ms (1.2%)

Memory: 1.5MiB live, 163.0MiB allocated
Compiler: Compiled 1 528 to 406 computations (73.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	71	572
0	100	519
1	172	516
2	249	516
3	365	516
4	435	516
5	555	516
6	583	516
7	613	516
8	675	516
9	680	516
10	694	516
11	712	516
12	712	516
0	712	508

Iter	Nodes	Cost
0	71	572
0	100	519
1	172	516
2	249	516
3	365	516
4	435	516
5	555	516
6	583	516
7	613	516
8	675	516
9	680	516
10	694	516
11	712	516
12	712	516
0	712	508

start0.0ms (0%)

analyze224.0ms (3%)

sample1.8s (23.3%)

explain143.0ms (1.9%)

preprocess58.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize26.0ms (0.3%)

series38.0ms (0.5%)

simplify199.0ms (2.6%)

rewrite241.0ms (3.2%)

eval69.0ms (0.9%)

prune45.0ms (0.6%)

simplify11.0ms (0.1%)

localize199.0ms (2.6%)

series120.0ms (1.6%)

simplify264.0ms (3.5%)

rewrite221.0ms (2.9%)

eval249.0ms (3.3%)

prune65.0ms (0.9%)

simplify124.0ms (1.6%)

localize196.0ms (2.6%)

series88.0ms (1.2%)

simplify224.0ms (3%)

rewrite209.0ms (2.8%)

eval274.0ms (3.6%)

prune43.0ms (0.6%)

simplify33.0ms (0.4%)

localize382.0ms (5%)

series97.0ms (1.3%)

simplify296.0ms (3.9%)

rewrite211.0ms (2.8%)

eval167.0ms (2.2%)

prune51.0ms (0.7%)

regimes149.0ms (2%)

regimes33.0ms (0.4%)

regimes21.0ms (0.3%)

regimes27.0ms (0.3%)

regimes35.0ms (0.5%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0.1%)

bsearch37.0ms (0.5%)

bsearch59.0ms (0.8%)

simplify44.0ms (0.6%)

soundness728.0ms (9.6%)

preprocess94.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	71	572
0	100	519
1	172	516
2	249	516
3	365	516
4	435	516
5	555	516
6	583	516
7	613	516
8	675	516
9	680	516
10	694	516
11	712	516
12	712	516
0	712	508