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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze44.0ms (0.7%)

Memory

27.5MiB live, 73.8MiB 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)

sample1.3s (19.3%)

Memory

28.8MiB live, 1 101.3MiB allocated

Samples

835.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 449.0ms

ival-mult: 272.0ms (60.6% of total)

ival-sub: 67.0ms (14.9% of total)

ival-div: 59.0ms (13.1% of total)

ival-add: 36.0ms (8% of total)

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

exact: 5.0ms (1.1% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain232.0ms (3.5%)

Memory

-5.0MiB live, 191.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
67	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
27	-	-	`(-.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	65	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	147
↳	`(*.f64 y y)`	overflow	63
↳	`(*.f64 x x)`	overflow	50
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	104
↳	`(*.f64 z z)`	overflow	70
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	27	0
↳	`(*.f64 y y)`	overflow	63
↳	`(*.f64 x x)`	overflow	50
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	104
↳	`(*.f64 z z)`	overflow	70
`/.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	56
↳	`(*.f64 x x)`	underflow	70
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	12
↳	`(*.f64 z z)`	underflow	59

Confusion

	Predicted +	Predicted -
+	81	0
-	0	175

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	0
-	0	0	175

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	175
1	68
2	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 47.0ms (83.4% of total)

ival-div: 4.0ms (7.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

preprocess157.0ms (2.4%)

Memory

4.1MiB live, 169.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs x)

(negabs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.7%	(/.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)

simplify140.0ms (2.1%)

Memory

-0.2MiB live, 231.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize39.0ms (0.6%)

Memory

7.4MiB live, 54.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	6.093721101622882	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	15.599078014823187	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

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

ival-mult: 6.0ms (55.8% of total)

ival-div: 2.0ms (18.6% of total)

ival-sub: 1.0ms (9.3% of total)

ival-add: 1.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Memory

-38.6MiB live, 51.2MiB allocated

Counts

4 → 26

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x))
1.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x))
1.0ms	x	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x))
1.0ms	z	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x))
1.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x))

simplify256.0ms (3.8%)

Memory

18.3MiB live, 251.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite174.0ms (2.6%)

Memory

4.3MiB live, 196.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 313

Calls

Call 1

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

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

eval50.0ms (0.8%)

Memory: 25.3MiB live, 68.9MiB allocated
Compiler: Compiled 10 647 to 1 339 computations (87.4% saved)

prune26.0ms (0.4%)

Memory

-18.6MiB live, 36.7MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	321	15	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	322	15	337

Accuracy

100.0%

Counts

337 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.5%	(fma.f64 (/.f64 (+.f64 y z) y) (/.f64 (-.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)))
	53.3%	(/.f64 (fma.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 z) z))) (.f64 #s(literal 4 binary64) (*.f64 y y)))
	14.7%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 z #s(literal 4 binary64)))) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (fma.f64 z z (fma.f64 y y (.f64 x x))))) (*.f64 y #s(literal 2 binary64)))
	23.0%	(/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (.f64 #s(literal 2 binary64) y)))
	16.4%	(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) y)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)) (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)) (-.f64 (.f64 (.f64 (/.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) y)) (.f64 (/.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) y))) (.f64 (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)) (.f64 (/.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) y))))))
▶	48.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 y z) (+.f64 z y))) (.f64 y #s(literal 2 binary64)))
	80.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (-.f64 x z) (+.f64 z x)) #s(literal 1/2 binary64)) y))
	53.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 (.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)))
▶	65.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
	29.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	64.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	64.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
▶	36.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	32.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 932 to 502 computations (46.1% saved)

simplify138.0ms (2.1%)

Memory

31.2MiB live, 165.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 y z) #s(literal 2 binary64))
cost-diff	0	(+.f64 y z)
cost-diff	0	(/.f64 (+.f64 y z) y)
cost-diff	6	(fma.f64 (/.f64 (+.f64 y z) y) (/.f64 (-.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)))
cost-diff	0	(-.f64 y z)
cost-diff	0	(*.f64 (-.f64 y z) (+.f64 z y))
cost-diff	0	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y)))
cost-diff	0	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 y z) (+.f64 z y))) (.f64 y #s(literal 2 binary64)))
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 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(+.f64 z x)
cost-diff	0	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
cost-diff	0	(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	245
0	59	245
1	129	242
2	371	242
3	1426	242
4	4732	230
0	8460	228

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (1.5%)

Memory

-19.4MiB live, 169.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y z)
accuracy	0.015625	(/.f64 (+.f64 y z) y)
accuracy	0.109375	(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y))
accuracy	4.484346101118739	(fma.f64 (/.f64 (+.f64 y z) y) (/.f64 (-.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)))
accuracy	0.0	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	15.599078014823187	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 y z) (+.f64 z y))) (.f64 y #s(literal 2 binary64)))
accuracy	17.914251718521193	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.0546875	(fma.f64 (/.f64 x y) x y)
accuracy	22.15934461408887	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	40.46888853635909	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(+.f64 z x)
accuracy	0.0	(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
accuracy	0.0625	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

78.0ms

256×

valid

Compiler

Compiled 210 to 35 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 19.0ms (45.9% of total)

ival-add: 10.0ms (24.1% of total)

ival-div: 9.0ms (21.7% of total)

ival-sub: 3.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series103.0ms (1.5%)

Memory

-23.2MiB live, 75.2MiB allocated

Counts

20 → 125

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
67.0ms	z	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (+ (* (/ (+ y z) y) (/ (- y z) 2)) (* (/ x 2) (/ x y))) (/ (+ y z) y) (+ y z) (/ (- y z) 2) (* y 2) (* (/ x 2) (/ x y)))
7.0ms	x	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (+ (* (/ (+ y z) y) (/ (- y z) 2)) (* (/ x 2) (/ x y))) (/ (+ y z) y) (+ y z) (/ (- y z) 2) (* y 2) (* (/ x 2) (/ x y)))
7.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (+ (* (/ (+ y z) y) (/ (- y z) 2)) (* (/ x 2) (/ x y))) (/ (+ y z) y) (+ y z) (/ (- y z) 2) (* y 2) (* (/ x 2) (/ x y)))
4.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (+ (* (/ (+ y z) y) (/ (- y z) 2)) (* (/ x 2) (/ x y))) (/ (+ y z) y) (+ y z) (/ (- y z) 2) (* y 2) (* (/ x 2) (/ x y)))
4.0ms	x	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (+ (* (/ (+ y z) y) (/ (- y z) 2)) (* (/ x 2) (/ x y))) (/ (+ y z) y) (+ y z) (/ (- y z) 2) (* y 2) (* (/ x 2) (/ x y)))

simplify164.0ms (2.5%)

Memory

29.7MiB live, 177.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	1523
1	1342	1310
2	5467	1286
0	8094	1232

Stop Event

1×	iter limit
1×	node limit

Counts

125 → 122

Calls

Call 1

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

rewrite214.0ms (3.2%)

Memory

-26.9MiB live, 205.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	209
0	59	209
1	246	206
2	2459	206
0	8429	200

Stop Event

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

Counts

20 → 682

Calls

Call 1

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

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

eval99.0ms (1.5%)

Memory: 6.4MiB live, 193.2MiB allocated
Compiler: Compiled 26 016 to 2 815 computations (89.2% saved)

prune22.0ms (0.3%)

Memory

27.4MiB live, 73.4MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	807	9	816
Fresh	8	2	10
Picked	2	3	5
Done	0	0	0
Total	817	14	831

Accuracy

100.0%

Counts

831 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.8%	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 y z) y)) (/.f64 (-.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)))
	48.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y))) (+.f64 y y))
▶	29.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
	99.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
✓	65.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
▶	64.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
▶	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 (.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64)))
	35.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
	92.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))
✓	36.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	32.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	29.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (.f64 x x))))
	35.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)))

Compiler

Compiled 717 to 468 computations (34.7% saved)

simplify181.0ms (2.7%)

Memory

-5.0MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	310
0	61	300
1	119	296
2	340	292
3	1246	292
4	3863	292
0	8142	281

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

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

localize83.0ms (1.2%)

Memory

5.4MiB live, 97.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (.f64 x x))))
accuracy	5.432091321088071	(.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (.f64 x x))
accuracy	44.479854113134685	#s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (.f64 x x)))
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(-.f64 y (/.f64 (*.f64 z z) y))
accuracy	7.841957907205751	(/.f64 (*.f64 z z) y)
accuracy	18.591929236484578	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	15.599078014823187	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
accuracy	42.61233474560362	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	7.841957907205751	(/.f64 (*.f64 z z) y)
accuracy	41.31377391981794	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
accuracy	0.0	(.f64 (+.f64 (.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (+.f64 (.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64)))
accuracy	0.00390625	(+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y)
accuracy	0.13671875	(*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))

Samples

64.0ms

256×

valid

Compiler

Compiled 234 to 33 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 24.0ms (58.3% of total)

ival-div: 8.0ms (19.4% of total)

ival-sub: 5.0ms (12.1% of total)

ival-add: 5.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

series125.0ms (1.9%)

Memory

-4.3MiB live, 58.4MiB allocated

Counts

20 → 83

Calls

Call 1

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

Outputs
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* -1 (/ (pow z 2) y))
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))
(- (pow y 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow x 2)
(/ 1/2 y)
0
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (/ z (* x y))))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (/ (pow z 2) (* x y))) x)) (/ 1 y)))
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(- (pow x 2) (pow z 2))
(* 2 y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (- (pow y 2) (pow z 2)) y)
y
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(pow y 2)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 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)))))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))
(+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))
(pow z 2)
(+ (pow x 2) (pow y 2))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2))))) (/ 1 y)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* y z))) (/ x y))) z)) (/ 1 y)))

Calls

9 calls:

Time	Variable		Point	Expression
106.0ms	z	@	inf	((+ (* (/ (- x z) y) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (/ (- x z) y) (+ z x)) (/ (- (+ (* 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 x) (* y y)) (* z z)) (* x x) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (- (/ 0 x) (/ -1/2 y)) (/ 0 x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (- (/ 0 x) (/ -1/2 y)) (* x x)))
3.0ms	y	@	-inf	((+ (* (/ (- x z) y) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (/ (- x z) y) (+ z x)) (/ (- (+ (* 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 x) (* y y)) (* z z)) (* x x) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (- (/ 0 x) (/ -1/2 y)) (/ 0 x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (- (/ 0 x) (/ -1/2 y)) (* x x)))
3.0ms	y	@	inf	((+ (* (/ (- x z) y) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (/ (- x z) y) (+ z x)) (/ (- (+ (* 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 x) (* y y)) (* z z)) (* x x) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (- (/ 0 x) (/ -1/2 y)) (/ 0 x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (- (/ 0 x) (/ -1/2 y)) (* x x)))
3.0ms	y	@	0	((+ (* (/ (- x z) y) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (/ (- x z) y) (+ z x)) (/ (- (+ (* 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 x) (* y y)) (* z z)) (* x x) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (- (/ 0 x) (/ -1/2 y)) (/ 0 x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (- (/ 0 x) (/ -1/2 y)) (* x x)))
2.0ms	z	@	-inf	((+ (* (/ (- x z) y) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (/ (- x z) y) (+ z x)) (/ (- (+ (* 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 x) (* y y)) (* z z)) (* x x) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (- (/ 0 x) (/ -1/2 y)) (/ 0 x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (- (/ 0 x) (/ -1/2 y)) (* x x)))

simplify182.0ms (2.7%)

Memory

22.3MiB live, 245.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1254
1	852	1053
2	3510	1038
0	8751	991

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 82

Calls

Call 1

Inputs
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* -1 (/ (pow z 2) y))
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))
(- (pow y 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow x 2)
(/ 1/2 y)
0
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (/ z (* x y))))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (/ (pow z 2) (* x y))) x)) (/ 1 y)))
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(- (pow x 2) (pow z 2))
(* 2 y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (- (pow y 2) (pow z 2)) y)
y
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(pow y 2)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 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)))))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))
(+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))
(pow z 2)
(+ (pow x 2) (pow y 2))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2))))) (/ 1 y)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* y z))) (/ x y))) z)) (/ 1 y)))

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

rewrite157.0ms (2.4%)

Memory

-3.9MiB live, 185.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	268
0	61	258
1	237	254
2	1829	254
0	9019	243

Stop Event

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

Counts

20 → 336

Calls

Call 1

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

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

eval56.0ms (0.8%)

Memory: 22.6MiB live, 112.2MiB allocated
Compiler: Compiled 17 872 to 1 991 computations (88.9% saved)

prune22.0ms (0.3%)

Memory

-7.4MiB live, 48.8MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	460	6	466
Fresh	1	5	6
Picked	4	1	5
Done	1	2	3
Total	466	14	480

Accuracy

100.0%

Counts

480 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.8%	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 y z) y)) (/.f64 (-.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)))
▶	48.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y))) (+.f64 y y))
▶	29.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y))
▶	99.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
✓	65.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	70.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
	35.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
▶	30.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (- x z) y) (+ z x)) y) (*.f64 x (/.f64 x y))) #s(literal 1/2 binary64)))
	92.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))
✓	36.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	32.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	35.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)))
	24.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x)) (.f64 y x))))
	29.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 #s(approx (- (/ 0 x) (/ -1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 x x))))

Compiler

Compiled 772 to 500 computations (35.2% saved)

simplify194.0ms (2.9%)

Memory

-25.5MiB live, 220.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	353
0	68	331
1	139	326
2	412	326
3	1564	326
4	4938	326
0	8123	319

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (1.3%)

Memory

20.5MiB live, 112.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	15.599078014823187	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y))) (+.f64 y y))
accuracy	17.914251718521193	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)))
accuracy	0.13671875	(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)
accuracy	0.17578125	(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z)
accuracy	41.31377391981794	#s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))
accuracy	0.0	(.f64 #s(approx (+ ( (/ (- x z) y) (+ z x)) y) (*.f64 x (/.f64 x y))) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (- x z) y) (+ z x)) y) (*.f64 x (/.f64 x y))) #s(literal 1/2 binary64)))
accuracy	0.109375	(*.f64 x (/.f64 x y))
accuracy	44.4802688127961	#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 x (/.f64 x y)))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	15.599078014823187	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y))
accuracy	42.61233474560362	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
accuracy	0.0625	(fma.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y) y)
accuracy	0.2890625	(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)

Samples

63.0ms

256×

valid

Compiler

Compiled 254 to 38 computations (85% saved)

Precisions

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

ival-mult: 18.0ms (39.3% of total)

ival-div: 10.0ms (21.8% of total)

ival-add: 8.0ms (17.5% of total)

ival-sub: 7.0ms (15.3% of total)

ival-sqrt: 2.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.6%)

Memory

-21.5MiB live, 32.5MiB allocated

Counts

22 → 98

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((+ (* (sqrt z) (sqrt z)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (* x (/ x y)) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (sqrt z) (* (- 0 (/ 1/2 y)) z))
8.0ms	y	@	inf	((+ (* (sqrt z) (sqrt z)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (* x (/ x y)) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (sqrt z) (* (- 0 (/ 1/2 y)) z))
3.0ms	z	@	-inf	((+ (* (sqrt z) (sqrt z)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (* x (/ x y)) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (sqrt z) (* (- 0 (/ 1/2 y)) z))
3.0ms	y	@	-inf	((+ (* (sqrt z) (sqrt z)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (* x (/ x y)) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (sqrt z) (* (- 0 (/ 1/2 y)) z))
3.0ms	y	@	0	((+ (* (sqrt z) (sqrt z)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (* x (/ x y)) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (sqrt z) (* (- 0 (/ 1/2 y)) z))

simplify126.0ms (1.9%)

Memory

34.7MiB live, 164.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	1279
1	1105	1054
2	4619	1036
0	8160	984

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 95

Calls

Call 1

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

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

rewrite202.0ms (3%)

Memory

-31.5MiB live, 159.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	318
0	68	296
1	262	291
2	2116	269
0	8873	259

Stop Event

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

Counts

22 → 434

Calls

Call 1

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

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

eval82.0ms (1.2%)

Memory: 14.7MiB live, 156.8MiB allocated
Compiler: Compiled 21 638 to 2 388 computations (89% saved)

prune24.0ms (0.4%)

Memory

17.9MiB live, 63.1MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	553	4	557
Fresh	2	4	6
Picked	2	3	5
Done	0	3	3
Total	557	14	571

Accuracy

100.0%

Counts

571 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y))) (+.f64 y y))
	18.1%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y))
✓	29.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y))
✓	65.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	70.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
	35.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
✓	30.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (- x z) y) (+ z x)) y) (*.f64 x (/.f64 x y))) #s(literal 1/2 binary64)))
	92.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) y) (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 x z) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))
✓	36.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	32.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
	35.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))
	35.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.f64 (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) (sqrt.f64 z)) (sqrt.f64 z))))
	24.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 x x)) (.f64 y x))))
	29.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 #s(approx (- (/ 0 x) (/ -1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 x x))))

Compiler

Compiled 1 531 to 474 computations (69% saved)

regimes114.0ms (1.7%)

Memory

-42.0MiB live, 122.4MiB allocated

Counts

35 → 1

Calls

Call 1

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

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

Calls

6 calls:

49.0ms	z
30.0ms	(*.f64 x x)
9.0ms	y
9.0ms	x
8.0ms	(*.f64 z z)

Results

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

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes33.0ms (0.5%)

Memory

-7.5MiB live, 39.4MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

5.0ms	y
5.0ms	x
5.0ms	z
5.0ms	(*.f64 x x)
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
89.9%	2	`(*.f64 z z)`
85.1%	2	`(*.f64 x x)`
97.5%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
85.1%	2	`x`
91.0%	2	`y`
89.9%	2	`z`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes4.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

#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:

3.0ms

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

Results

Accuracy	Segments	Branch
94.3%	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)

regimes19.0ms (0.3%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

10 → 5

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	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 z z)

Results

Accuracy	Segments	Branch
50.8%	2	`(*.f64 x x)`
50.8%	2	`x`
57.8%	2	`(*.f64 z z)`
62.3%	3	`z`
61.3%	3	`y`
72.1%	5	`(/.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)

regimes47.0ms (0.7%)

Memory

-48.9MiB live, 3.1MiB allocated

Counts

7 → 5

Calls

Call 1

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

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

Calls

1 calls:

46.0ms

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

Results

Accuracy	Segments	Branch
72.1%	5	`(/.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

3.7MiB live, 3.7MiB allocated

Counts

6 → 5

Calls

Call 1

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

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
72.1%	5	`(/.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)

regimes7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
36.8%	1	`(*.f64 z z)`
55.9%	2	`y`
42.8%	3	`z`
40.9%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 20 to 21 computations (-5% saved)

regimes5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
36.8%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
36.8%	1	`z`
36.8%	1	`(*.f64 x x)`
36.8%	1	`x`
36.8%	1	`y`

Compiler

Compiled 21 to 24 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.295293030266241e-25	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.295293030266241e-25	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.1005236232130406e+290	+inf
0.0ms	3.7769410031157465e+152	1.3495612498405398e+155
0.0ms	-1.295293030266241e-25	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.1005236232130406e+290	+inf
0.0ms	3.7769410031157465e+152	1.3495612498405398e+155
0.0ms	-1.295293030266241e-25	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.1005236232130406e+290	+inf
0.0ms	3.7769410031157465e+152	1.3495612498405398e+155
0.0ms	-1.295293030266241e-25	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch13.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.348841704922979e+77	4.5282804605136795e+78

Samples

7.0ms

112×

valid

Compiler

Compiled 284 to 213 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (69% of total)

ival-div: 1.0ms (23% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify71.0ms (1.1%)

Memory

-20.2MiB live, 26.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	853
1	139	853
2	350	853
3	1171	853
4	3542	853

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #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 +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 y (.f64 (/.f64 z y) z)) #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 -8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) 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 -8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (- x z) y) (+ z x)) y) (.f64 x (/.f64 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 +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) (/.f64 z y)) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (- x z) y) (+ z x)) y) (.f64 x (/.f64 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 +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 (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.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 -8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (/.f64 #s(approx (- (+ ( x x) (* y y)) (* z z)) (.f64 x x)) (+.f64 y 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)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))))))
(if (<=.f64 y #s(literal 799999999999999986226090180436686853981981157712127180431800961742489232867328 binary64)) (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (+.f64 y 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 #s(literal 1/2 binary64) y))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #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 +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 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))))
(if (or (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8711228593176025/87112285931760246646623899502532662132736 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) 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 -8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (- x z) y) (+ z x)) y) (.f64 x (/.f64 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 +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) (/.f64 z y)) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ (- x z) y) (+ z x)) y) (.f64 x (/.f64 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 +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 (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.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 -8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.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 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 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 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (/.f64 #s(approx (- (+ ( x x) (* y y)) (* z z)) (.f64 x x)) (+.f64 y 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)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))))))
(if (<=.f64 y #s(literal 799999999999999986226090180436686853981981157712127180431800961742489232867328 binary64)) (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (+.f64 y 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 #s(literal 1/2 binary64) y))

soundness1.4s (21.7%)

Memory

6.7MiB live, 720.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	209
0	59	209
1	246	206
2	2459	206
0	8429	200
0	44	268
0	61	258
1	237	254
2	1829	254
0	9019	243
0	46	318
0	68	296
1	262	291
2	2116	269
0	8873	259
0	390	1523
1	1342	1310
2	5467	1286
0	8094	1232
0	71	312
1	198	306
2	631	294
3	3428	292
0	8251	276
0	258	1254
1	852	1053
2	3510	1038
0	8751	991

Stop Event

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

Compiler

Compiled 1 234 to 383 computations (69% saved)

preprocess67.0ms (1%)

Memory

10.8MiB live, 100.8MiB allocated

Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 934 to 324 computations (83.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze44.0ms (0.7%)

sample1.3s (19.3%)

explain232.0ms (3.5%)

preprocess157.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify140.0ms (2.1%)

localize39.0ms (0.6%)

series30.0ms (0.4%)

simplify256.0ms (3.8%)

rewrite174.0ms (2.6%)

eval50.0ms (0.8%)

prune26.0ms (0.4%)

simplify138.0ms (2.1%)

localize97.0ms (1.5%)

series103.0ms (1.5%)

simplify164.0ms (2.5%)

rewrite214.0ms (3.2%)

eval99.0ms (1.5%)

prune22.0ms (0.3%)

simplify181.0ms (2.7%)

localize83.0ms (1.2%)

series125.0ms (1.9%)

simplify182.0ms (2.7%)

rewrite157.0ms (2.4%)

eval56.0ms (0.8%)

prune22.0ms (0.3%)

simplify194.0ms (2.9%)

localize84.0ms (1.3%)

series38.0ms (0.6%)

simplify126.0ms (1.9%)

rewrite202.0ms (3%)

eval82.0ms (1.2%)

prune24.0ms (0.4%)

regimes114.0ms (1.7%)

regimes33.0ms (0.5%)

regimes4.0ms (0.1%)

regimes19.0ms (0.3%)

regimes47.0ms (0.7%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch13.0ms (0.2%)

simplify71.0ms (1.1%)

soundness1.4s (21.7%)

preprocess67.0ms (1%)

end0.0ms (0%)

Profiling