Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze77.0ms (1.2%)

Memory

-1.9MiB live, 90.3MiB allocated; 44ms collecting garbage

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
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (19.2%)

Memory

8.8MiB live, 1 380.5MiB allocated; 234ms collecting garbage

Samples

788.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 455.0ms

ival-mult: 279.0ms (61.4% of total)

ival-div: 86.0ms (18.9% of total)

ival-sub: 38.0ms (8.4% of total)

ival-add: 34.0ms (7.5% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

adjust: 3.0ms (0.7% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain154.0ms (2.5%)

Memory

-14.7MiB live, 213.8MiB allocated; 26ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
65	-	1	(-3.4586499409575876e-161 -7.516307876198832e-249 2.4054057271088533e-258)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
30	-	0	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/n	63	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	152
↳	`(*.f64 y y)`	overflow	59
↳	`(*.f64 x x)`	overflow	70
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	116
↳	`(*.f64 z z)`	overflow	66
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	30	0
↳	`(*.f64 y y)`	overflow	59
↳	`(*.f64 x x)`	overflow	70
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	116
↳	`(*.f64 z z)`	overflow	66
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	1	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	1
↳	`(*.f64 y y)`	underflow	65
↳	`(*.f64 x x)`	underflow	62
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	18
↳	`(*.f64 z z)`	underflow	56

Confusion

	Predicted +	Predicted -
+	78	1
-	0	177

Precision

1.0

Recall

0.9873417721518988

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	1
-	0	0	177

Precision?

1.0

Recall?

0.9873417721518988

Freqs

test

number	freq
0	178
1	62
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 13.0ms (60.4% of total)

ival-div: 3.0ms (13.9% of total)

ival-sub: 2.0ms (9.3% of total)

ival-add: 2.0ms (9.3% of total)

ival-true: 1.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess145.0ms (2.4%)

Memory

5.6MiB live, 192.8MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	150	135
2	890	135
3	3698	135
0	11	15
0	18	15
1	45	15
2	192	15
3	885	15
4	2805	13
0	8294	12

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs x)

(negabs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.4%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify118.0ms (1.9%)

Memory

1.2MiB live, 248.5MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	45	49
2	192	49
3	885	49
4	2805	47
0	8294	44

Stop Event

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

Calls

Call 1

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

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

localize38.0ms (0.6%)

Memory

12.7MiB live, 64.8MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 y y))
accuracy	6.441387672471853	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	15.063554625030866	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 11.0ms (47.8% of total)

ival-div: 9.0ms (39.1% of total)

ival-sub: 1.0ms (4.3% of total)

ival-add: 1.0ms (4.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

4 → 26

Calls

Call 1

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

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

Calls

9 calls:

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

simplify167.0ms (2.7%)

Memory

-1.9MiB live, 229.2MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	312
1	198	306
2	631	294
3	3428	292
0	8251	276

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite182.0ms (3%)

Memory

-8.5MiB live, 142.0MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	18	36
1	76	36
2	745	36
0	8750	33

Stop Event

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

Counts

4 → 313

Calls

Call 1

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

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

eval75.0ms (1.2%)

Memory: -15.8MiB live, 71.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 10 647 to 1 339 computations (87.4% saved)

prune10.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	326	10	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	327	10	337

Accuracy

100.0%

Counts

337 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.3%	(/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (.f64 #s(literal 2 binary64) y)))
	54.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)))
▶	77.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (-.f64 x z) (+.f64 z x)) #s(literal 1/2 binary64)) y))
	65.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
▶	31.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	60.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	66.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
▶	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	32.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 524 to 340 computations (35.1% saved)

simplify229.0ms (3.7%)

Memory

-26.4MiB live, 148.8MiB allocated; 98ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	269
0	55	269
1	113	269
2	394	269
3	1739	269
4	7287	269
0	8536	264

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (1.9%)

Memory

-14.0MiB live, 134.9MiB allocated; 9ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (-.f64 x z) (+.f64 z x))
accuracy	0.16796875	(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
accuracy	4.233728940715801	(.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (-.f64 x z) (+.f64 z x)) #s(literal 1/2 binary64)) y)
accuracy	11.229315129226082	(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (-.f64 x z) (+.f64 z x)) #s(literal 1/2 binary64))
accuracy	0.0	(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 z z)
accuracy	7.943893246203737	(/.f64 (*.f64 z z) y)
accuracy	20.339082520473237	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
accuracy	8.052341429094556	(/.f64 (*.f64 x x) y)
accuracy	42.67517454444658	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	41.52142618641492	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
accuracy	0.0078125	(/.f64 (-.f64 x z) y)
accuracy	0.0625	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

76.0ms

256×

valid

Compiler

Compiled 223 to 32 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 24.0ms (40.2% of total)

ival-div: 16.0ms (26.8% of total)

ival-mult: 16.0ms (26.8% of total)

ival-sub: 3.0ms (5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series72.0ms (1.2%)

Memory

15.3MiB live, 62.1MiB allocated; 3ms collecting garbage

Counts

21 → 121

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (/ (/ 1/2 y) y) (/ (- x z) y) (* z z) (* (- x z) (+ z x)))
4.0ms	x	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (/ (/ 1/2 y) y) (/ (- x z) y) (* z z) (* (- x z) (+ z x)))
4.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (/ (/ 1/2 y) y) (/ (- x z) y) (* z z) (* (- x z) (+ z x)))
4.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (/ (/ 1/2 y) y) (/ (- x z) y) (* z z) (* (- x z) (+ z x)))
3.0ms	x	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (/ (/ 1/2 y) y) (/ (- x z) y) (* z z) (* (- x z) (+ z x)))

simplify209.0ms (3.4%)

Memory

-24.5MiB live, 116.2MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	420	1856
1	1483	1539
2	6682	1507
0	8304	1435

Stop Event

1×	iter limit
1×	node limit

Counts

121 → 118

Calls

Call 1

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

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

rewrite169.0ms (2.8%)

Memory

32.8MiB live, 222.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	241
0	55	241
1	208	241
2	1837	241
0	9245	236

Stop Event

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

Counts

21 → 474

Calls

Call 1

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

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

eval98.0ms (1.6%)

Memory: 4.8MiB live, 191.1MiB allocated; 41ms collecting garbage
Compiler: Compiled 29 907 to 3 022 computations (89.9% saved)

prune75.0ms (1.2%)

Memory

-33.7MiB live, 58.9MiB allocated; 9ms collecting garbage

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	617	7	624
Fresh	2	3	5
Picked	3	2	5
Done	0	0	0
Total	622	12	634

Accuracy

100.0%

Counts

634 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(approx ( (- x z) (+ z x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64)) y))
▶	65.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	88.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64)) y))
✓	31.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	68.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
	33.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	66.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
	28.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) z) z)) y))
▶	29.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y))
✓	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	32.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	32.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))))

Compiler

Compiled 688 to 450 computations (34.6% saved)

simplify161.0ms (2.6%)

Memory

24.9MiB live, 153.2MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	394
0	71	381
1	145	377
2	469	377
3	2065	377
0	8431	372

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64)) y))
(.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64)) y)
(fma.f64 (-.f64 x z) (*.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64))
(-.f64 x z)
x
z
(*.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(+.f64 z x)
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))))
#s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z)))
(.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
(fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y))
#s(literal 0 binary64)
y
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(*.f64 z z)
z
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y))
(.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y)
#s(approx (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)))
(.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))
(*.f64 x (/.f64 (/.f64 x y) y))
x
(/.f64 (/.f64 x y) y)
(/.f64 x y)
y
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64)) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 (/.f64 (+.f64 z x) y) y) #s(literal 1/2 binary64)) y))
(.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64)) y)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 (/.f64 (+.f64 z x) y) y) #s(literal 1/2 binary64)) y)
(fma.f64 (-.f64 x z) (*.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 (/.f64 (+.f64 z x) y) y) #s(literal 1/2 binary64))
(-.f64 x z)
x
z
(*.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(*.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 z x)
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))))
#s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z)))
#s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
(.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
(.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))
(fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal 0 binary64)
y
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(*.f64 z z)
z
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) x)) y))
(.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y)
(.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) x)) y)
#s(approx (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) x))
(.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) x)
(*.f64 x (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 (/.f64 x y) y) x)
x
(/.f64 (/.f64 x y) y)
(/.f64 x y)
y
#s(literal 1/2 binary64)

localize121.0ms (2%)

Memory

8.2MiB live, 100.5MiB allocated; 8ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(/.f64 (/.f64 x y) y)
accuracy	4.233728940715801	(.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y)
accuracy	4.401799540776395	(*.f64 x (/.f64 (/.f64 x y) y))
accuracy	42.6392942845171	#s(approx (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))))
accuracy	7.951405461695355	(.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
accuracy	42.09186218049659	#s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.06640625	(fma.f64 (/.f64 x y) x y)
accuracy	21.912281669432662	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	7.943893246203737	(/.f64 (*.f64 z z) y)
accuracy	42.09186218049659	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
accuracy	0.16796875	(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
accuracy	1.2056690332931035	(fma.f64 (-.f64 x z) (*.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64))
accuracy	4.233728940715801	(.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64)) y)
accuracy	5.7446562322777615	(*.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))

Samples

65.0ms

256×

valid

Compiler

Compiled 280 to 41 computations (85.4% saved)

Precisions

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

ival-mult: 28.0ms (58.8% of total)

ival-div: 11.0ms (23.1% of total)

ival-add: 6.0ms (12.6% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series96.0ms (1.6%)

Memory

-8.9MiB live, 41.2MiB allocated; 26ms collecting garbage

Counts

24 → 83

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64)) y))
(.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64)) y)
(fma.f64 (-.f64 x z) (*.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64))
(-.f64 x z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
(fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))))
#s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z)))
(.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y))
(.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y)
#s(approx (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)))
(.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))
(*.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(*.f64 x (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)

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

Calls

9 calls:

Time	Variable		Point	Expression
64.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (* (+ z x) (/ (/ 1/2 y) y))) 1/2) y) (+ (* (- x z) (* (+ z x) (/ (/ 1/2 y) y))) 1/2) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (+ (* 0 y) (/ -1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (* (+ (* 0 y) (/ -1/2 y)) (* z z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (* (* x (/ (/ x y) y)) 1/2) (* (+ z x) (/ (/ 1/2 y) y)) (/ (/ 1/2 y) y) (* x (/ (/ x y) y)) (/ (/ x y) y))
9.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (* (+ z x) (/ (/ 1/2 y) y))) 1/2) y) (+ (* (- x z) (* (+ z x) (/ (/ 1/2 y) y))) 1/2) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (+ (* 0 y) (/ -1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (* (+ (* 0 y) (/ -1/2 y)) (* z z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (* (* x (/ (/ x y) y)) 1/2) (* (+ z x) (/ (/ 1/2 y) y)) (/ (/ 1/2 y) y) (* x (/ (/ x y) y)) (/ (/ x y) y))
4.0ms	x	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (* (+ z x) (/ (/ 1/2 y) y))) 1/2) y) (+ (* (- x z) (* (+ z x) (/ (/ 1/2 y) y))) 1/2) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (+ (* 0 y) (/ -1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (* (+ (* 0 y) (/ -1/2 y)) (* z z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (* (* x (/ (/ x y) y)) 1/2) (* (+ z x) (/ (/ 1/2 y) y)) (/ (/ 1/2 y) y) (* x (/ (/ x y) y)) (/ (/ x y) y))
4.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (* (+ z x) (/ (/ 1/2 y) y))) 1/2) y) (+ (* (- x z) (* (+ z x) (/ (/ 1/2 y) y))) 1/2) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (+ (* 0 y) (/ -1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (* (+ (* 0 y) (/ -1/2 y)) (* z z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (* (* x (/ (/ x y) y)) 1/2) (* (+ z x) (/ (/ 1/2 y) y)) (/ (/ 1/2 y) y) (* x (/ (/ x y) y)) (/ (/ x y) y))
4.0ms	x	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (* (+ z x) (/ (/ 1/2 y) y))) 1/2) y) (+ (* (- x z) (* (+ z x) (/ (/ 1/2 y) y))) 1/2) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (+ (* 0 y) (/ -1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (* (+ (* 0 y) (/ -1/2 y)) (* z z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (* (* x (/ (/ x y) y)) 1/2) (* (+ z x) (/ (/ 1/2 y) y)) (/ (/ 1/2 y) y) (* x (/ (/ x y) y)) (/ (/ x y) y))

simplify159.0ms (2.6%)

Memory

26.4MiB live, 117.4MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	1255
1	895	1091
2	3808	970
0	8748	921

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 81

Calls

Call 1

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

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

rewrite183.0ms (3%)

Memory

12.3MiB live, 149.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	362
0	71	353
1	261	345
2	2000	335
0	9376	330

Stop Event

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

Counts

24 → 389

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64)) y))
(.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64)) y)
(fma.f64 (-.f64 x z) (*.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 1/2 binary64))
(-.f64 x z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
(fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))))
#s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z)))
(.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y))
(.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y)
#s(approx (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)))
(.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))
(*.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(*.f64 x (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z) #s(literal 1/2 binary64)) y))
(.f64 (fma.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z) #s(literal 1/2 binary64)) y)
(.f64 y (fma.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y) (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y) (.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y) (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y)) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z))) #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z))) (.f64 y (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z))) (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 y (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z))) (.f64 y #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z))) #s(literal 3 binary64))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 y (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z))) (.f64 y (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (neg.f64 (-.f64 (.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 z x) (-.f64 x z)) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/8 binary64)) y)) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 x z) #s(literal 1/2 binary64)))) (pow.f64 (.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 y (-.f64 (pow.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (pow.f64 (.f64 (+.f64 z x) (-.f64 x z)) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 x z) #s(literal 1/2 binary64)))) (pow.f64 (.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) y) (-.f64 (.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (+.f64 z x) (-.f64 x z)) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/8 binary64)) y) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 x z) #s(literal 1/2 binary64)))) (pow.f64 (.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 2 binary64))))
(/.f64 (.f64 y (-.f64 (pow.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 1/2 binary64)))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 (+.f64 z x) (-.f64 x z)) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/8 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 x z) #s(literal 1/2 binary64)))) (pow.f64 (.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (.f64 (.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y))
(fma.f64 y (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (.f64 y (.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z))))
(+.f64 (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 x z)) y))
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(*.f64 (+.f64 z x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(/.f64 (+.f64 (pow.f64 (.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 3 binary64))) (fma.f64 (.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (-.f64 (.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (.f64 (.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (-.f64 (.f64 (.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) (-.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x) (-.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 z x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z x))) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (neg.f64 (-.f64 z x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (neg.f64 (fma.f64 (-.f64 x z) x (.f64 z z))))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (-.f64 z x)))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x z) x (.f64 z z))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64))) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 z x)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (*.f64 (neg.f64 y) (-.f64 z x))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (.f64 (neg.f64 y) (fma.f64 (-.f64 x z) x (*.f64 z z)))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (*.f64 y (-.f64 z x))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (.f64 y (fma.f64 (-.f64 x z) x (*.f64 z z)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (.f64 (.f64 y y) (-.f64 z x))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (.f64 (.f64 y y) (fma.f64 (-.f64 x z) x (.f64 z z)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal -1/2 binary64) y))) (neg.f64 (*.f64 (-.f64 z x) (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (*.f64 (-.f64 z x) y)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) #s(literal 1/2 binary64))) (neg.f64 (.f64 (-.f64 z x) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) y))) (neg.f64 (.f64 (fma.f64 (-.f64 x z) x (*.f64 z z)) (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (.f64 (fma.f64 (-.f64 x z) x (*.f64 z z)) y)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (.f64 (fma.f64 (-.f64 x z) x (.f64 z z)) (.f64 y y))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 z x)) (neg.f64 y))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z x)) (.f64 y y))
(/.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (-.f64 z x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (fma.f64 (-.f64 x z) x (.f64 z z)))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (+.f64 z x) (-.f64 z x))) (-.f64 z x))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 x z) x (.f64 z z)))
(/.f64 (*.f64 (+.f64 z x) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 y))
(/.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (.f64 y y))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 z x))) (neg.f64 y))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 (+.f64 z x) (-.f64 z x))) (*.f64 (neg.f64 y) (-.f64 z x)))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (neg.f64 y) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 z x) (-.f64 z x))) (*.f64 y (-.f64 z x)))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y (fma.f64 (-.f64 x z) x (*.f64 z z))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 z x) (-.f64 z x))) (.f64 (.f64 y y) (-.f64 z x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (.f64 y y) (fma.f64 (-.f64 x z) x (.f64 z z))))
(/.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (-.f64 z x) (neg.f64 y)))
(/.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (-.f64 z x) y))
(/.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) #s(literal 1/2 binary64)) (.f64 (-.f64 z x) (.f64 y y)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (fma.f64 (-.f64 x z) x (*.f64 z z)) (neg.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (fma.f64 (-.f64 x z) x (*.f64 z z)) y))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) (.f64 (fma.f64 (-.f64 x z) x (.f64 z z)) (.f64 y y)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 z x)) y)
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z))
(fma.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
(fma.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
(+.f64 (.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
(+.f64 (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (.f64 z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 y))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))
(+.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 0 binary64))
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) y) (/.f64 (neg.f64 (neg.f64 x)) y))
(*.f64 (/.f64 x (neg.f64 (neg.f64 y))) (/.f64 x (neg.f64 (neg.f64 y))))
(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 x y) y) x)
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) y))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) x))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (neg.f64 y))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) y))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 (.f64 x x) (.f64 y y))
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))

eval74.0ms (1.2%)

Memory: -10.6MiB live, 79.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 21 697 to 2 179 computations (90% saved)

prune80.0ms (1.3%)

Memory

-0.8MiB live, 54.4MiB allocated; 52ms collecting garbage

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	470	6	476
Fresh	1	4	5
Picked	2	3	5
Done	0	2	2
Total	473	15	488

Accuracy

100.0%

Counts

488 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(approx ( (- x z) (+ z x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64)) y))
✓	65.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	91.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (-.f64 x z) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 z x)) y) #s(literal 1/2 binary64)) y))
▶	88.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1/2 binary64)) y))
	75.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (-.f64 x z) #s(approx ( (+ z x) (/ (/ 1/2 y) y)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) y))
✓	31.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	68.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
▶	33.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
▶	66.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
	34.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
✓	29.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y))
	28.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (- x z) (* (+ z x) (/ (/ 1/2 y) y))) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (*.f64 y y)))) y))
✓	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	32.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	32.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))))

Compiler

Compiled 778 to 505 computations (35.1% saved)

simplify129.0ms (2.1%)

Memory

-18.4MiB live, 75.0MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	365
0	70	363
1	155	363
2	540	363
3	2177	363
0	8471	358

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (2.1%)

Memory

10.3MiB live, 103.3MiB allocated; 10ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.46993610181503065	(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
accuracy	1.2056690332931035	(fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal 1/2 binary64))
accuracy	4.233728940715801	(.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1/2 binary64)) y)
accuracy	5.7446562322777615	(.f64 (+.f64 z x) (/.f64 #s(literal 1/2 binary64) (.f64 y y)))
accuracy	0.00390625	(.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))
accuracy	0.0078125	(/.f64 (-.f64 x z) y)
accuracy	0.11328125	(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
accuracy	21.323609781967406	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
accuracy	0.0	(/.f64 x y)
accuracy	0.01171875	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
accuracy	0.1015625	(*.f64 (/.f64 x y) x)
accuracy	42.67517454444658	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))))
accuracy	7.951405461695355	(.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))
accuracy	42.09186218049659	#s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))
accuracy	0.109375	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 z x)) y)
accuracy	0.21875	(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 z x))
accuracy	1.2056690332931035	(fma.f64 (-.f64 x z) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 z x)) y) #s(literal 1/2 binary64))
accuracy	4.233728940715801	(.f64 (fma.f64 (-.f64 x z) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 z x)) y) #s(literal 1/2 binary64)) y)

Samples

80.0ms

256×

valid

Compiler

Compiled 283 to 41 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 41.0ms (67% of total)

ival-div: 12.0ms (19.6% of total)

ival-add: 5.0ms (8.2% of total)

ival-sub: 2.0ms (3.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series44.0ms (0.7%)

Memory

-7.1MiB live, 38.5MiB allocated; 4ms collecting garbage

Counts

25 → 115

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	z	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) y) (+ (* (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (* (/ -1/2 y) (* z z)) (/ -1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (* (+ z x) (/ 1/2 (* y y)))) 1/2) y) (+ (* (- x z) (* (+ z x) (/ 1/2 (* y y)))) 1/2) (* (/ 1/2 y) (+ z x)) (/ (* (/ 1/2 y) (+ z x)) y) (* z z) (/ (- x z) y) (* (+ z x) (/ 1/2 (* y y))) (/ 1/2 (* y y)))
4.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) y) (+ (* (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (* (/ -1/2 y) (* z z)) (/ -1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (* (+ z x) (/ 1/2 (* y y)))) 1/2) y) (+ (* (- x z) (* (+ z x) (/ 1/2 (* y y)))) 1/2) (* (/ 1/2 y) (+ z x)) (/ (* (/ 1/2 y) (+ z x)) y) (* z z) (/ (- x z) y) (* (+ z x) (/ 1/2 (* y y))) (/ 1/2 (* y y)))
4.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) y) (+ (* (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (* (/ -1/2 y) (* z z)) (/ -1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (* (+ z x) (/ 1/2 (* y y)))) 1/2) y) (+ (* (- x z) (* (+ z x) (/ 1/2 (* y y)))) 1/2) (* (/ 1/2 y) (+ z x)) (/ (* (/ 1/2 y) (+ z x)) y) (* z z) (/ (- x z) y) (* (+ z x) (/ 1/2 (* y y))) (/ 1/2 (* y y)))
4.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) y) (+ (* (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (* (/ -1/2 y) (* z z)) (/ -1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (* (+ z x) (/ 1/2 (* y y)))) 1/2) y) (+ (* (- x z) (* (+ z x) (/ 1/2 (* y y)))) 1/2) (* (/ 1/2 y) (+ z x)) (/ (* (/ 1/2 y) (+ z x)) y) (* z z) (/ (- x z) y) (* (+ z x) (/ 1/2 (* y y))) (/ 1/2 (* y y)))
3.0ms	x	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) y) (+ (* (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (* (/ -1/2 y) (* z z)) (/ -1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (* (+ z x) (/ 1/2 (* y y)))) 1/2) y) (+ (* (- x z) (* (+ z x) (/ 1/2 (* y y)))) 1/2) (* (/ 1/2 y) (+ z x)) (/ (* (/ 1/2 y) (+ z x)) y) (* z z) (/ (- x z) y) (* (+ z x) (/ 1/2 (* y y))) (/ 1/2 (* y y)))

simplify156.0ms (2.5%)

Memory

43.4MiB live, 130.4MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	1827
1	1341	1477
2	5954	1429
0	8242	1360

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 113

Calls

Call 1

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

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

rewrite210.0ms (3.4%)

Memory

-13.1MiB live, 176.8MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	329
0	70	327
1	254	327
2	2110	327
0	9423	322

Stop Event

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

Counts

25 → 696

Calls

Call 1

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

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

eval193.0ms (3.1%)

Memory: -3.1MiB live, 138.0MiB allocated; 15ms collecting garbage
Compiler: Compiled 35 692 to 3 854 computations (89.2% saved)

prune53.0ms (0.9%)

Memory

24.3MiB live, 68.8MiB allocated; 5ms collecting garbage

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	818	4	822
Fresh	2	3	5
Picked	1	4	5
Done	0	5	5
Total	821	16	837

Accuracy

100.0%

Counts

837 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(approx ( (- x z) (+ z x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64)) y))
✓	65.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	77.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (-.f64 x z) (/.f64 #s(approx ( (/ 1/2 y) (+ z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) y) #s(literal 1/2 binary64)) y))
✓	88.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (-.f64 x z) (.f64 (+.f64 z x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1/2 binary64)) y))
✓	31.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	68.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
✓	33.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓	66.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
	34.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
✓	29.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) y))
	61.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64) #s(literal 0 binary64)) x #s(literal 1/2 binary64))) y))
	49.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1/2 binary64)) z)) z) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (*.f64 z z))) y))
	28.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (- x z) (/ (* (/ 1/2 y) (+ z x)) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (*.f64 y y)))) y))
✓	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	32.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
✓	32.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))))

Compiler

Compiled 1 449 to 508 computations (64.9% saved)

regimes80.0ms (1.3%)

Memory

-45.2MiB live, 63.5MiB allocated; 20ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

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

Calls

6 calls:

35.0ms	y
16.0ms	(*.f64 z z)
8.0ms	z
7.0ms	x
7.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes21.0ms (0.3%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

6 calls:

4.0ms	z
4.0ms	y
4.0ms	x
3.0ms	(*.f64 z z)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
89.2%	3	`(*.f64 z z)`
87.5%	2	`(*.f64 x x)`
95.5%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
87.5%	2	`x`
87.3%	2	`y`
89.6%	3	`z`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes3.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
95.1%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes25.0ms (0.4%)

Memory

-22.9MiB live, 23.7MiB allocated; 2ms collecting garbage

Counts

6 → 4

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(*.f64 z z)
2.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
60.6%	4	`y`
59.2%	3	`(*.f64 x x)`
59.2%	3	`x`
58.7%	3	`(*.f64 z z)`
58.7%	3	`z`
74.3%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
64.4%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
63.4%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
63.4%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
35.1%	1	`(*.f64 z z)`
35.1%	1	`z`
35.1%	1	`y`
35.1%	1	`x`
35.1%	1	`(*.f64 x x)`
35.1%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.36498017946406e-121	1.292836591101337e-116

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.7700376123188893e-138

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.209506465665386e+117	8.253416995098597e+118
0.0ms	0.0	1.7700376123188893e-138

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.7700376123188893e-138

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.7700376123188893e-138

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.7700376123188893e-138

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify55.0ms (0.9%)

Memory

8.0MiB live, 54.8MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	497
1	131	497
2	384	497
3	1544	497
4	6647	497

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (or (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (/ 1/2 y) y) (* (- x z) (+ z x))) 1/2) y) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

derivations890.0ms (14.5%)

Memory

-40.3MiB live, 737.6MiB allocated; 151ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	241
0	55	241
1	208	241
2	1837	241
0	9245	236
0	49	362
0	71	353
1	261	345
2	2000	335
0	9376	330
0	71	312
1	198	306
2	631	294
3	3428	292
0	8251	276
0	420	1856
1	1483	1539
2	6682	1507
0	8304	1435

Stop Event

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

Compiler

Compiled 497 to 77 computations (84.5% saved)

preprocess154.0ms (2.5%)

Memory

3.2MiB live, 153.2MiB allocated; 17ms collecting garbage

Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 222 to 306 computations (75% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze77.0ms (1.2%)

sample1.2s (19.2%)

explain154.0ms (2.5%)

preprocess145.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify118.0ms (1.9%)

localize38.0ms (0.6%)

series9.0ms (0.1%)

simplify167.0ms (2.7%)

rewrite182.0ms (3%)

eval75.0ms (1.2%)

prune10.0ms (0.2%)

simplify229.0ms (3.7%)

localize116.0ms (1.9%)

series72.0ms (1.2%)

simplify209.0ms (3.4%)

rewrite169.0ms (2.8%)

eval98.0ms (1.6%)

prune75.0ms (1.2%)

simplify161.0ms (2.6%)

localize121.0ms (2%)

series96.0ms (1.6%)

simplify159.0ms (2.6%)

rewrite183.0ms (3%)

eval74.0ms (1.2%)

prune80.0ms (1.3%)

simplify129.0ms (2.1%)

localize129.0ms (2.1%)

series44.0ms (0.7%)

simplify156.0ms (2.5%)

rewrite210.0ms (3.4%)

eval193.0ms (3.1%)

prune53.0ms (0.9%)

regimes80.0ms (1.3%)

regimes21.0ms (0.3%)

regimes3.0ms (0%)

regimes25.0ms (0.4%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify55.0ms (0.9%)

derivations890.0ms (14.5%)

preprocess154.0ms (2.5%)

end0.0ms (0%)

Profiling