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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze41.0ms (0.6%)

Memory

-3.1MiB live, 75.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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)

sample2.1s (28%)

Memory

19.9MiB live, 1 011.7MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 738.0ms

ival-mult: 384.0ms (52.1% of total)

ival-div: 199.0ms (27% of total)

ival-sub: 104.0ms (14.1% of total)

ival-add: 37.0ms (5% of total)

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

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain251.0ms (3.4%)

Memory

-0.4MiB live, 262.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
57	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
25	-	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 y #s(literal 2 binary64))`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`(*.f64 y y)`
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	54	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	145
↳	`(*.f64 y y)`	overflow	52
↳	`(*.f64 x x)`	overflow	64
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	105
↳	`(*.f64 z z)`	overflow	65
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	25	0
↳	`(*.f64 y y)`	overflow	52
↳	`(*.f64 x x)`	overflow	64
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	105
↳	`(*.f64 z z)`	overflow	65
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	2	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	2
↳	`(*.f64 y y)`	underflow	62
↳	`(*.f64 x x)`	underflow	58
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	15
↳	`(*.f64 z z)`	underflow	56
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/o	1	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	145
↳	`(*.f64 y y)`	overflow	52
↳	`(*.f64 x x)`	overflow	64
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	105
↳	`(*.f64 z z)`	overflow	65
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	71	0
-	0	185

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	0
-	0	0	185

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	185
1	60
2	11

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 166 to 48 computations (71.1% saved)

Precisions

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

ival-mult: 13.0ms (58.8% of total)

ival-div: 4.0ms (18.1% of total)

ival-sub: 2.0ms (9.1% of total)

ival-add: 2.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess197.0ms (2.7%)

Memory

-7.7MiB live, 231.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	147	135
2	489	135
3	2191	135
4	6834	117
0	11	15
0	18	15
1	32	15
2	69	15
3	136	15
4	295	15
5	630	15
6	1505	13
7	3475	13
8	7859	13
0	8033	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 (-.f64 x z) y) (+.f64 z x) 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
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(/.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)

simplify226.0ms (3.1%)

Memory

-13.1MiB live, 214.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))
cost-diff	128	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	32	49
2	69	49
3	136	49
4	295	49
5	630	49
6	1505	47
7	3475	47
8	7859	47
0	8033	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 (-.f64 x z) y) (+.f64 z x) 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)

localize28.0ms (0.4%)

Memory

18.5MiB live, 55.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	5.695283601622882	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	13.334765469906074	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

20.0ms

256×

valid

Compiler

Compiled 100 to 24 computations (76% saved)

Precisions

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

ival-mult: 6.0ms (49.9% of total)

ival-div: 3.0ms (24.9% of total)

ival-sub: 1.0ms (8.3% of total)

ival-add: 1.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.5%)

Memory

-32.9MiB live, 19.6MiB allocated

Counts

5 → 26

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)))
2.0ms	y	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)))
1.0ms	x	@	0	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)))
1.0ms	y	@	-inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)))
1.0ms	z	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)))

simplify125.0ms (1.7%)

Memory

1.9MiB live, 157.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	283
1	196	283
2	567	257
3	2178	253
4	6027	249
0	8163	231

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite157.0ms (2.1%)

Memory

35.8MiB live, 260.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	18	39
1	68	39
2	569	39
0	8301	36

Stop Event

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

Counts

5 → 528

Calls

Call 1

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

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

eval145.0ms (2%)

Memory: -27.8MiB live, 141.3MiB allocated
Compiler: Compiled 17 631 to 1 646 computations (90.7% saved)

prune40.0ms (0.5%)

Memory

4.6MiB live, 43.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	535	9	544
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	536	9	545

Accuracy

100.0%

Counts

545 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.0%	(/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64)))
▶	76.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
▶	76.0%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
	62.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	59.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	71.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
▶	30.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	34.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 370 to 258 computations (30.3% saved)

simplify159.0ms (2.2%)

Memory

13.0MiB live, 215.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y z)
cost-diff	0	(+.f64 y z)
cost-diff	0	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
cost-diff	320	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #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 y z)
cost-diff	0	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
cost-diff	0	(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
cost-diff	704	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	206
0	46	206
1	78	203
2	162	203
3	417	203
4	1186	203
5	3127	198
6	6583	198
0	8482	193

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (0.9%)

Memory

-4.0MiB live, 110.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0	(*.f64 x x)
accuracy	2.003884230844482	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	13.366141263316713	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 z z)
accuracy	0.00390625	(-.f64 y (/.f64 (*.f64 z z) y))
accuracy	7.532608610887691	(/.f64 (*.f64 z z) y)
accuracy	21.513814279637128	#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	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
accuracy	0	(*.f64 x x)
accuracy	6.72479549677451	(/.f64 (*.f64 x x) y)
accuracy	41.464997185738284	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	44.775223307653526	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 x x)
accuracy	0.12109375	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
accuracy	2.003884230844482	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	13.303797078323477	(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))

Samples

47.0ms

256×

valid

Compiler

Compiled 397 to 58 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 14.0ms (45.3% of total)

ival-div: 9.0ms (29.1% of total)

ival-add: 4.0ms (12.9% of total)

ival-sub: 3.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.5%)

Memory

9.9MiB live, 52.9MiB allocated

Counts

17 → 100

Calls

Call 1

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

Outputs
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(/ y (* (+ y z) (- y z)))
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(* (+ y z) (- y z))
(+ (* (+ y z) (- y z)) (pow x 2))
(* 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 (/ (pow x 2) y))
(/ (pow x 2) y)
(pow x 2)
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(/ y (pow x 2))
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2))
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ y (+ (* -1 (pow z 2)) (pow x 2)))
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
z
(+ y z)
(* 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 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 z)
(- y z)
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(/ 1 y)
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y)
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
y
(* y (+ 1 (/ z y)))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(* -1 (* y (- (/ z y) 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)))
(/ y (+ (pow x 2) (pow y 2)))
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ (pow x 2) (pow y 2))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 z))
(pow z 2)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (/ y (pow z 2)))
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* z (+ 1 (/ y z)))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* z (- (/ y z) 1))
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (/ (- (+ (* 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) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (- y z) (* z z))
6.0ms	y	@	-inf	((/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (/ (- (+ (* 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) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (- y z) (* z z))
4.0ms	x	@	inf	((/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (/ (- (+ (* 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) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (- y z) (* z z))
4.0ms	y	@	inf	((/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (/ (- (+ (* 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) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (- y z) (* z z))
4.0ms	y	@	0	((/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (/ (- (+ (* 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) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (- y z) (* z z))

simplify93.0ms (1.3%)

Memory

-11.1MiB live, 99.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	425	1684
1	1428	1381
2	6028	1252
0	8403	1200

Stop Event

1×	iter limit
1×	node limit

Counts

100 → 98

Calls

Call 1

Inputs
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(/ y (* (+ y z) (- y z)))
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(* (+ y z) (- y z))
(+ (* (+ y z) (- y z)) (pow x 2))
(* 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 (/ (pow x 2) y))
(/ (pow x 2) y)
(pow x 2)
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(/ y (pow x 2))
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2))
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ y (+ (* -1 (pow z 2)) (pow x 2)))
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
z
(+ y z)
(* 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 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 z)
(- y z)
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(/ 1 y)
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y)
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
y
(* y (+ 1 (/ z y)))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(* -1 (* y (- (/ z y) 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)))
(/ y (+ (pow x 2) (pow y 2)))
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ (pow x 2) (pow y 2))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 z))
(pow z 2)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (/ y (pow z 2)))
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* z (+ 1 (/ y z)))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* z (- (/ y z) 1))
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))

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

rewrite189.0ms (2.6%)

Memory

15.5MiB live, 295.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	165
0	46	165
1	176	162
2	1448	162
0	8518	162

Stop Event

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

Counts

17 → 953

Calls

Call 1

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

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

eval111.0ms (1.5%)

Memory: 11.1MiB live, 203.9MiB allocated
Compiler: Compiled 33 014 to 3 160 computations (90.4% saved)

prune31.0ms (0.4%)

Memory

-12.6MiB live, 68.7MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 039	9	1 048
Fresh	0	4	4
Picked	2	3	5
Done	0	0	0
Total	1 041	16	1 057

Accuracy

100.0%

Counts

1 057 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64)))
▶	34.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
	66.2%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 (/.f64 y (-.f64 y z)) (+.f64 z y))))
	65.7%	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (+.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1/2 binary64) y))
	34.1%	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
	35.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
▶	62.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
✓	59.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	66.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 z (/.f64 y z))) #s(literal 1/2 binary64)))
	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
▶	71.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
	37.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (- y (/ ( z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64)))
✓	30.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	34.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 675 to 459 computations (32% saved)

simplify126.0ms (1.7%)

Memory

6.6MiB live, 131.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 z) z)
cost-diff	0	#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
cost-diff	0	(/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
cost-diff	0	(/.f64 (-.f64 x z) y)
cost-diff	0	(+.f64 z x)
cost-diff	0	(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) 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 y z)
cost-diff	0	(pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	7296	(/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	258
0	67	258
1	110	255
2	218	253
3	598	253
4	1903	253
5	4567	249
0	8258	245

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (1.2%)

Memory

6.3MiB live, 119.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.12109375	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
accuracy	13.303797078323477	(/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)))
accuracy	39.61102911968803	#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
accuracy	0	(+.f64 z x)
accuracy	0	(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
accuracy	0.171875	(.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
accuracy	18.0954492545247	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.078125	(fma.f64 (/.f64 x y) x y)
accuracy	23.70359867143441	#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	(*.f64 z z)
accuracy	0.00390625	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	7.532608610887691	(/.f64 (*.f64 z z) y)
accuracy	39.82804147031941	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
accuracy	0	(*.f64 x x)
accuracy	0.8459530835396035	(pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64))
accuracy	2.003884230844482	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	12.805709546952976	(/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #s(literal -1 binary64)))

Samples

65.0ms

256×

valid

Compiler

Compiled 485 to 82 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 19.0ms (40.1% of total)

ival-div: 14.0ms (29.5% of total)

ival-add: 6.0ms (12.7% of total)

ival-pow: 4.0ms (8.4% of total)

ival-sub: 3.0ms (6.3% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.6%)

Memory

-21.9MiB live, 58.7MiB allocated

Counts

24 → 156

Calls

Call 1

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

Outputs
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(/ 1 (* (+ y z) (- y z)))
(+ (* -1 (/ (pow x 2) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ 1 (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (/ (pow x 2) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ 1 (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ 1 (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (* (pow (+ y z) 4) (pow (- y z) 4)))) (/ 1 (* (pow (+ y z) 3) (pow (- y z) 3))))) (/ 1 (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ 1 (* (+ y z) (- y z))))
(* 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)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
y
(+ y (/ (pow x 2) y))
(/ x y)
(* 1/2 z)
(+ (* 1/2 x) (* 1/2 z))
z
(+ x z)
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(/ y (* (+ y z) (- y z)))
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(* (+ y z) (- y z))
(+ (* (+ y z) (- y z)) (pow x 2))
(pow x 2)
(* -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)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (* (pow (+ y z) 3) (pow (- y z) 3)) (pow x 6)))) (+ (* -1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (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)
(* x (+ 1/2 (* 1/2 (/ z x))))
x
(* x (+ 1 (/ z x)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/ y (pow x 2))
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2))
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (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)))))
(* -1 (* x (- (* -1/2 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ 1/2 y)
(/ 1 (+ (* -1 (pow z 2)) (pow x 2)))
(+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))
(+ y z)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (pow z 2) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (- x z) y)
(/ y (+ (* -1 (pow z 2)) (pow x 2)))
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) (pow y 2))
(* y (+ 1 (/ z y)))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (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 (* -1 (/ (+ z (* -1 z)) y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y)
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow z 2) y)) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) y)) (/ (pow x 2) y))) (* -1 (+ z (* -1 z)))) y))) (pow y 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2)))) y) (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2)))) y)) (* -1 (+ z (* -1 z)))) y))) (pow y 2))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (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 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(* 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 x 2) (pow y 2)))
(+ (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2))))
(+ (* z (- (* z (- (/ 1 (pow (+ (pow x 2) (pow y 2)) 2)) (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2))))
(+ (* z (- (* z (- (+ (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 3))) (+ (/ y (pow (+ (pow x 2) (pow y 2)) 3)) (/ (* (+ y (* -1 y)) (- (/ 1 (pow (+ (pow x 2) (pow y 2)) 2)) (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (pow x 2) (pow y 2))))))) (/ 1 (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2)))) (+ (pow x 2) (pow y 2)))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (pow (+ (pow x 2) (pow y 2)) 2))))) (/ 1 (+ (pow x 2) (pow y 2))))
(pow z 2)
(/ y (+ (pow x 2) (pow y 2)))
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ (pow x 2) (pow y 2))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(* -1 (pow z 2))
(+ (* 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))))))
(* -1 z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(/ -1 (pow z 2))
(/ (- (* -1 (/ (+ y (* -1 y)) z)) 1) (pow z 2))
(/ (- (* -1 (/ (+ (pow x 2) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (pow z 2))) (+ 1 (+ (* -1 (/ y z)) (/ y z)))) (pow z 2))
(/ (- (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow x 2) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (pow z 3))) (+ 1 (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (+ (/ (pow y 2) (pow z 2)) (/ (pow (+ y (* -1 y)) 2) (pow z 2)))))))) (pow z 2))
(* z (+ 1 (/ y z)))
(* z (+ 1/2 (* 1/2 (/ x z))))
(* z (+ 1 (/ x z)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1 (/ y (pow z 2)))
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 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))))
(/ (- (+ (* -1 (/ y z)) (/ y z)) 1) (pow z 2))
(/ (- (* -1 (/ (- (+ (/ (pow x 2) z) (+ (/ (pow y 2) z) (/ (pow (+ y (* -1 y)) 2) z))) (+ y (* -1 y))) z)) 1) (pow z 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (pow x 2) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) z) (/ (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2))) z)) (+ (pow x 2) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) z)) (+ y (* -1 y))) z)) 1) (pow z 2))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1/2)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
(* (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))))

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	z	@	0	((/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (+ y 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) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ z x) 1/2) (+ z x) (/ (- x z) y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (* (* (+ z x) 1/2) (/ (- x z) y)) (neg z))
8.0ms	x	@	0	((/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (+ y 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) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ z x) 1/2) (+ z x) (/ (- x z) y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (* (* (+ z x) 1/2) (/ (- x z) y)) (neg z))
4.0ms	y	@	0	((/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (+ y 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) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ z x) 1/2) (+ z x) (/ (- x z) y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (* (* (+ z x) 1/2) (/ (- x z) y)) (neg z))
4.0ms	y	@	-inf	((/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (+ y 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) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ z x) 1/2) (+ z x) (/ (- x z) y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (* (* (+ z x) 1/2) (/ (- x z) y)) (neg z))
4.0ms	z	@	inf	((/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1) (+ y 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) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ z x) 1/2) (+ z x) (/ (- x z) y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (* (* (+ z x) 1/2) (/ (- x z) y)) (neg z))

simplify108.0ms (1.5%)

Memory

15.2MiB live, 131.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	649	3443
1	2180	2380
0	8986	2264

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

Inputs
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(/ 1 (* (+ y z) (- y z)))
(+ (* -1 (/ (pow x 2) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ 1 (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (/ (pow x 2) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ 1 (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ 1 (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (* (pow (+ y z) 4) (pow (- y z) 4)))) (/ 1 (* (pow (+ y z) 3) (pow (- y z) 3))))) (/ 1 (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ 1 (* (+ y z) (- y z))))
(* 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)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
y
(+ y (/ (pow x 2) y))
(/ x y)
(* 1/2 z)
(+ (* 1/2 x) (* 1/2 z))
z
(+ x z)
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(/ y (* (+ y z) (- y z)))
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(* (+ y z) (- y z))
(+ (* (+ y z) (- y z)) (pow x 2))
(pow x 2)
(* -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)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (* (pow (+ y z) 3) (pow (- y z) 3)) (pow x 6)))) (+ (* -1 (/ (* (pow (+ y z) 2) (pow (- y z) 2)) (pow x 4))) (/ (* (+ y z) (- y z)) (pow x 2)))) (pow x 2))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (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)
(* x (+ 1/2 (* 1/2 (/ z x))))
x
(* x (+ 1 (/ z x)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/ y (pow x 2))
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2))
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (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)))))
(* -1 (* x (- (* -1/2 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ 1/2 y)
(/ 1 (+ (* -1 (pow z 2)) (pow x 2)))
(+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))
(+ y z)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (pow z 2) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (- x z) y)
(/ y (+ (* -1 (pow z 2)) (pow x 2)))
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
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(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
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(/ 1 (pow y 2))
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) (pow y 2))
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(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(/ 1 y)
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y)
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(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow z 2) y)) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) y)) (/ (pow x 2) y))) (* -1 (+ z (* -1 z)))) y))) (pow y 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2)))) y) (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2)))) y)) (* -1 (+ z (* -1 z)))) y))) (pow y 2))
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(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
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(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))

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

rewrite204.0ms (2.8%)

Memory

-15.9MiB live, 215.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	234
0	67	234
1	242	229
2	1794	229
0	8602	229

Stop Event

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

Counts

24 → 798

Calls

Call 1

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

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

eval212.0ms (2.9%)

Memory: 16.5MiB live, 173.5MiB allocated
Compiler: Compiled 30 343 to 3 686 computations (87.9% saved)

prune34.0ms (0.5%)

Memory

17.1MiB live, 55.4MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	923	7	930
Fresh	4	4	8
Picked	3	2	5
Done	0	3	3
Total	930	16	946

Accuracy

100.0%

Counts

946 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.3%	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)))
	35.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
▶	34.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
✓	62.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	62.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)))
▶	71.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) y) (-.f64 x z)))
✓	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
✓	59.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	66.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 z (/.f64 y z))) #s(literal 1/2 binary64)))
	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
▶	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
	37.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
✓	30.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	34.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x (/.f64 #s(literal 0 binary64) x))))
▶	37.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))

Compiler

Compiled 704 to 481 computations (31.7% saved)

simplify193.0ms (2.6%)

Memory

-11.5MiB live, 142.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z y)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (+.f64 z y))
cost-diff	0	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)))
cost-diff	192	(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y))
cost-diff	0	(*.f64 z z)
cost-diff	0	(/.f64 y (*.f64 z z))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
cost-diff	384	(/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) y) z)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
cost-diff	0	#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))
cost-diff	0	(*.f64 (+.f64 x z) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (*.f64 (+.f64 x z) #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (/.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) y) (-.f64 x z))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) y) (-.f64 x z)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	271
0	70	271
1	136	271
2	295	269
3	812	255
4	2669	255
5	6765	255
0	8147	255

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

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

localize242.0ms (3.3%)

Memory

16.0MiB live, 138.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1/2 binary64) (+.f64 z y))
accuracy	0.00390625	(/.f64 (-.f64 y z) y)
accuracy	0.09765625	(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y))
accuracy	21.513814279637128	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)))
accuracy	0	(*.f64 z z)
accuracy	0.4577370257142297	(/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z)))
accuracy	7.353677081917173	(/.f64 y (*.f64 z z))
accuracy	39.82804147031941	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	(*.f64 x x)
accuracy	6.767359867648157	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
accuracy	41.464997185738284	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
accuracy	0.17578125	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
accuracy	0.2265625	(*.f64 (/.f64 #s(literal -1/2 binary64) y) z)
accuracy	18.0954492545247	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))
accuracy	28.110077930895905	#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))
accuracy	0	(*.f64 (+.f64 x z) #s(literal 1/2 binary64))
accuracy	0.00390625	(/.f64 (*.f64 (+.f64 x z) #s(literal 1/2 binary64)) y)
accuracy	0.17578125	(.f64 (/.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) y) (-.f64 x z))
accuracy	18.0954492545247	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) y) (-.f64 x z)))

Samples

204.0ms

256×

valid

Compiler

Compiled 476 to 94 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 45.0ms (61.4% of total)

ival-div: 13.0ms (17.7% of total)

ival-add: 7.0ms (9.6% of total)

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

ival-sub: 3.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series43.0ms (0.6%)

Memory

0.2MiB live, 37.4MiB allocated

Counts

21 → 79

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* (+ x z) 1/2) y) (- x z)) (/ (* (+ x z) 1/2) y) (* (+ x z) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* x x) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ -1/2 (/ y (* z z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ y (* z z)) (* z z) (* (* 1/2 (+ z y)) (/ (- y z) y)) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* 1/2 (+ z y)) (+ z y) (/ (- y z) y))
4.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* (+ x z) 1/2) y) (- x z)) (/ (* (+ x z) 1/2) y) (* (+ x z) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* x x) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ -1/2 (/ y (* z z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ y (* z z)) (* z z) (* (* 1/2 (+ z y)) (/ (- y z) y)) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* 1/2 (+ z y)) (+ z y) (/ (- y z) y))
4.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* (+ x z) 1/2) y) (- x z)) (/ (* (+ x z) 1/2) y) (* (+ x z) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* x x) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ -1/2 (/ y (* z z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ y (* z z)) (* z z) (* (* 1/2 (+ z y)) (/ (- y z) y)) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* 1/2 (+ z y)) (+ z y) (/ (- y z) y))
4.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* (+ x z) 1/2) y) (- x z)) (/ (* (+ x z) 1/2) y) (* (+ x z) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* x x) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ -1/2 (/ y (* z z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ y (* z z)) (* z z) (* (* 1/2 (+ z y)) (/ (- y z) y)) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* 1/2 (+ z y)) (+ z y) (/ (- y z) y))
3.0ms	z	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* (+ x z) 1/2) y) (- x z)) (/ (* (+ x z) 1/2) y) (* (+ x z) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* x x) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ -1/2 (/ y (* z z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ y (* z z)) (* z z) (* (* 1/2 (+ z y)) (/ (- y z) y)) (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (* 1/2 (+ z y)) (+ z y) (/ (- y z) y))

simplify153.0ms (2.1%)

Memory

-0.9MiB live, 122.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	845
1	819	783
2	2550	698
3	7084	698
0	8368	675

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 77

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

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

rewrite238.0ms (3.2%)

Memory

-19.0MiB live, 146.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	243
0	70	243
1	275	241
2	2235	241
0	8481	236

Stop Event

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

Counts

21 → 717

Calls

Call 1

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

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

eval164.0ms (2.2%)

Memory: 6.4MiB live, 159.8MiB allocated
Compiler: Compiled 27 160 to 2 957 computations (89.1% saved)

prune72.0ms (1%)

Memory

-16.5MiB live, 73.5MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	721	2	723
Fresh	1	5	6
Picked	1	4	5
Done	0	5	5
Total	723	16	739

Accuracy

100.0%

Counts

739 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.3%	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)))
	29.7%	#s(approx (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) #s(approx (/ (- y z) y) #s(literal 1 binary64))))
	35.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
✓	34.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
✓	62.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	62.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)))
✓	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
✓	59.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	66.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 z (/.f64 y z))) #s(literal 1/2 binary64)))
	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	71.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 z x)) (-.f64 x z)))
✓	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
	37.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
✓	30.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	34.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
✓	37.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))

Compiler

Compiled 1 075 to 416 computations (61.3% saved)

regimes111.0ms (1.5%)

Memory

-5.7MiB live, 70.7MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

40.0ms	x
36.0ms	(*.f64 x x)
9.0ms	y
9.0ms	z
8.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
90.7%	2	`x`
94.2%	3	`y`
91.4%	3	`z`
97.9%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
90.7%	2	`(*.f64 x x)`
91.4%	3	`(*.f64 z z)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes8.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
97.9%	3	`(/.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

10.3MiB live, 10.3MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
96.2%	3	`(/.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)

regimes5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

12 → 2

Calls

Call 1

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

4.0ms

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

Results

Accuracy	Segments	Branch
93.6%	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)

regimes51.0ms (0.7%)

Memory

-1.0MiB live, 35.6MiB allocated

Counts

8 → 4

Calls

Call 1

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

Calls

6 calls:

35.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
60.7%	3	`z`
60.7%	3	`(*.f64 z z)`
64.3%	4	`x`
64.3%	4	`(*.f64 x x)`
56.4%	3	`y`
78.5%	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)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

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 (/ (/ 1/2 y) (pow (+ (* (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) #s(approx (/ (- y z) y) #s(literal 1 binary64))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) 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 x x) (/.f64 #s(literal 1/2 binary64) 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))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z 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
76.9%	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)

regimes3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z 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
63.2%	3	`(/.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)

regimes18.0ms (0.2%)

Memory

-42.0MiB live, 4.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

Calls

1 calls:

17.0ms

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

Results

Accuracy	Segments	Branch
63.2%	3	`(/.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)

regimes10.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Accuracy

Total -0.3b remaining (-0.7%)

Threshold costs -0.3b (-0.7%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

2.0ms	x
2.0ms	z
2.0ms	y
1.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
30.0%	1	`y`
30.0%	1	`z`
30.0%	1	`(*.f64 z z)`
30.0%	1	`x`
30.0%	1	`(*.f64 x x)`
30.0%	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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	1.1832853984504048e-148

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	1.1832853984504048e-148

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	1.1832853984504048e-148

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.1832853984504048e-148

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.0992993542000783e+149	5.796778976016876e+179
0.0ms	0.0	1.1832853984504048e-148

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.0992993542000783e+149	5.796778976016876e+179
0.0ms	0.0	1.1832853984504048e-148

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	1.1832853984504048e-148

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	1.1832853984504048e-148

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify42.0ms (0.6%)

Memory

12.9MiB live, 51.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	942
1	122	942
2	130	942
3	134	942
4	136	942

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) 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 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #s(approx (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) 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 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) 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 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) 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 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) 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 (fma.f64 (/.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) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) 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 (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 400000000000000019590690630060208231828890801412297555498016949836067305437353902464492611698910585517245225872604110704821373167465034086840910479360 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 (.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 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 400000000000000019590690630060208231828890801412297555498016949836067305437353902464492611698910585517245225872604110704821373167465034086840910479360 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 x x) (/.f64 #s(literal 1/2 binary64) y))) #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 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 +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 #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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) (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 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
(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 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) 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 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #s(approx (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (-.f64 x z) y) (.f64 #s(literal 1/2 binary64) (+.f64 z x)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #s(approx (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (/.f64 (-.f64 y z) y) (.f64 (+.f64 z 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 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) 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 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (-.f64 x z) y) (.f64 #s(literal 1/2 binary64) (+.f64 z x)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 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 (/ (/ 1/2 y) (pow (+ ( (+ y z) (- y z)) (* x x)) -1)) (.f64 (/.f64 (-.f64 y z) y) (.f64 (+.f64 z 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 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) 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 (fma.f64 (/.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) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (-.f64 x z) y) (.f64 #s(literal 1/2 binary64) (+.f64 z x)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 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 (-.f64 x z) y) (.f64 #s(literal 1/2 binary64) (+.f64 z x))))))
(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 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z))) #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 400000000000000019590690630060208231828890801412297555498016949836067305437353902464492611698910585517245225872604110704821373167465034086840910479360 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 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))))))
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(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 400000000000000019590690630060208231828890801412297555498016949836067305437353902464492611698910585517245225872604110704821373167465034086840910479360 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 x x) (/.f64 #s(literal 1/2 binary64) y))) #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 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 400000000000000019590690630060208231828890801412297555498016949836067305437353902464492611698910585517245225872604110704821373167465034086840910479360 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z))))))
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(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 (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) (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 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #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)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

soundness1.0s (14%)

Memory

0.3MiB live, 513.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	18	39
1	68	39
2	569	39
0	8301	36
0	30	165
0	46	165
1	176	162
2	1448	162
0	8518	162
0	649	3443
1	2180	2380
0	8986	2264
0	44	234
0	67	234
1	242	229
2	1794	229
0	8602	229
0	71	283
1	196	283
2	567	257
3	2178	253
4	6027	249
0	8163	231

Stop Event

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

Compiler

Compiled 1 257 to 367 computations (70.8% saved)

preprocess174.0ms (2.4%)

Memory

5.6MiB live, 196.3MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 2 888 to 662 computations (77.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze41.0ms (0.6%)

sample2.1s (28%)

explain251.0ms (3.4%)

preprocess197.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify226.0ms (3.1%)

localize28.0ms (0.4%)

series38.0ms (0.5%)

simplify125.0ms (1.7%)

rewrite157.0ms (2.1%)

eval145.0ms (2%)

prune40.0ms (0.5%)

simplify159.0ms (2.2%)

localize66.0ms (0.9%)

series37.0ms (0.5%)

simplify93.0ms (1.3%)

rewrite189.0ms (2.6%)

eval111.0ms (1.5%)

prune31.0ms (0.4%)

simplify126.0ms (1.7%)

localize87.0ms (1.2%)

series46.0ms (0.6%)

simplify108.0ms (1.5%)

rewrite204.0ms (2.8%)

eval212.0ms (2.9%)

prune34.0ms (0.5%)

simplify193.0ms (2.6%)

localize242.0ms (3.3%)

series43.0ms (0.6%)

simplify153.0ms (2.1%)

rewrite238.0ms (3.2%)

eval164.0ms (2.2%)

prune72.0ms (1%)

regimes111.0ms (1.5%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes51.0ms (0.7%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes18.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify42.0ms (0.6%)

soundness1.0s (14%)

preprocess174.0ms (2.4%)

end0.0ms (0%)

Profiling