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

start0.0ms (0%)

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

analyze55.0ms (0.9%)

Memory

-13.1MiB live, 79.2MiB allocated; 21ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (20.1%)

Memory

52.7MiB live, 1 319.7MiB allocated; 259ms collecting garbage

Samples

904.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 611.0ms

ival-mult: 411.0ms (67.3% of total)

ival-sub: 75.0ms (12.3% of total)

ival-div: 55.0ms (9% of total)

ival-add: 53.0ms (8.7% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain234.0ms (3.9%)

Memory

-49.5MiB live, 218.3MiB allocated; 142ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
76	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
23	-	-	`(-.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	72	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	136
↳	`(*.f64 y y)`	overflow	69
↳	`(*.f64 x x)`	overflow	49
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	103
↳	`(*.f64 z z)`	overflow	56
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	23	0
↳	`(*.f64 y y)`	overflow	69
↳	`(*.f64 x x)`	overflow	49
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	103
↳	`(*.f64 z z)`	overflow	56
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	3	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	3
↳	`(*.f64 y y)`	underflow	64
↳	`(*.f64 x x)`	underflow	63
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	16
↳	`(*.f64 z z)`	underflow	55
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/o	1	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	136
↳	`(*.f64 y y)`	overflow	69
↳	`(*.f64 x x)`	overflow	49
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	103
↳	`(*.f64 z z)`	overflow	56
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	86	0
-	0	170

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	86	0	0
-	0	0	170

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	170
1	73
2	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions

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

ival-mult: 13.0ms (60.2% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess167.0ms (2.8%)

Memory

24.2MiB live, 166.1MiB allocated; 16ms collecting garbage

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.1%	(/.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)

simplify124.0ms (2.1%)

Memory

-0.7MiB live, 137.1MiB allocated; 33ms collecting garbage

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)

localize29.0ms (0.5%)

Memory

-3.7MiB live, 42.5MiB allocated; 5ms collecting garbage

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	5.039043922471853	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	17.62435716308315	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (48% of total)

ival-div: 4.0ms (32% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

15.7MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

4 → 26

Calls

Call 1

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

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

Calls

9 calls:

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

simplify155.0ms (2.6%)

Memory

12.5MiB live, 190.6MiB allocated; 25ms collecting garbage

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)

rewrite192.0ms (3.2%)

Memory

-29.9MiB live, 210.1MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 313

Calls

Call 1

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

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

eval37.0ms (0.6%)

Memory: 30.6MiB live, 76.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 10 647 to 1 339 computations (87.4% saved)

prune11.0ms (0.2%)

Memory

-31.8MiB live, 25.7MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	328	8	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	329	8	337

Accuracy

100.0%

Counts

337 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.4%	(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)))
	64.8%	#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)))
▶	27.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	62.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	66.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
▶	35.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 374 to 254 computations (32.1% saved)

simplify177.0ms (3%)

Memory

27.0MiB live, 214.3MiB allocated; 16ms collecting garbage

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	233
0	60	233
1	122	230
2	362	230
3	1397	230
4	4418	215
0	8157	215

Stop Event

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

Calls

Call 1

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

localize89.0ms (1.5%)

Memory

15.8MiB live, 107.4MiB allocated; 7ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y z)
accuracy	0.015625	(/.f64 (+.f64 y z) y)
accuracy	0.1484375	(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y))
accuracy	3.351540481852767	(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 z z)
accuracy	0.00390625	(-.f64 y (/.f64 (*.f64 z z) y))
accuracy	8.665696766382037	(/.f64 (*.f64 z z) y)
accuracy	19.42915372329889	#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 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	9.314273280133792	(/.f64 (*.f64 x x) y)
accuracy	43.29340124840892	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	41.478084999931596	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
accuracy	0.015625	(/.f64 (-.f64 x z) y)
accuracy	0.06640625	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

56.0ms

256×

valid

Compiler

Compiled 203 to 35 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 16.0ms (41.8% of total)

ival-div: 12.0ms (31.3% of total)

ival-add: 6.0ms (15.7% of total)

ival-sub: 5.0ms (13.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series54.0ms (0.9%)

Memory

-28.7MiB live, 66.8MiB allocated; 11ms collecting garbage

Counts

21 → 106

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (+ (* (/ (+ y z) y) (/ (- y z) 2)) (* (/ x 2) (/ x y))) (/ (+ y z) y) (+ y z) (/ (- y z) 2) (/ (- x z) y) (* z z) (* (/ x 2) (/ x y)))
10.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (+ (* (/ (+ y z) y) (/ (- y z) 2)) (* (/ x 2) (/ x y))) (/ (+ y z) y) (+ y z) (/ (- y z) 2) (/ (- x z) y) (* z z) (* (/ x 2) (/ x y)))
6.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (+ (* (/ (+ y z) y) (/ (- y z) 2)) (* (/ x 2) (/ x y))) (/ (+ y z) y) (+ y z) (/ (- y z) 2) (/ (- x z) y) (* z z) (* (/ x 2) (/ x y)))
4.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (+ (* (/ (+ y z) y) (/ (- y z) 2)) (* (/ x 2) (/ x y))) (/ (+ y z) y) (+ y z) (/ (- y z) 2) (/ (- x z) y) (* z z) (* (/ x 2) (/ x y)))
4.0ms	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 x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (+ (* (/ (+ y z) y) (/ (- y z) 2)) (* (/ x 2) (/ x y))) (/ (+ y z) y) (+ y z) (/ (- y z) 2) (/ (- x z) y) (* z z) (* (/ x 2) (/ x y)))

simplify229.0ms (3.8%)

Memory

19.5MiB live, 213.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	1389
1	1131	1186
2	4638	1145
0	8729	1089

Stop Event

1×	iter limit
1×	node limit

Counts

106 → 103

Calls

Call 1

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

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

rewrite179.0ms (3%)

Memory

7.3MiB live, 240.2MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	205
0	60	205
1	233	202
2	2227	202
0	9005	197

Stop Event

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

Counts

21 → 516

Calls

Call 1

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

eval75.0ms (1.3%)

Memory: 5.2MiB live, 149.7MiB allocated; 19ms collecting garbage
Compiler: Compiled 20 250 to 2 289 computations (88.7% saved)

prune20.0ms (0.3%)

Memory

-2.1MiB live, 43.6MiB allocated; 5ms collecting garbage

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	598	7	605
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	600	13	613

Accuracy

100.0%

Counts

613 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
	90.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* 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))
	64.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	73.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 x y) (.f64 z y)) (.f64 y y)) y) #s(literal 1/2 binary64)))
✓	27.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
✓	62.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
▶	69.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
	32.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	66.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
▶	35.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) z) z)) #s(literal 1/2 binary64)))
✓	35.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	35.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))

Compiler

Compiled 659 to 435 computations (34% saved)

simplify149.0ms (2.5%)

Memory

-22.6MiB live, 122.4MiB allocated; 19ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	365
0	71	338
1	138	332
2	389	332
3	1357	327
4	4069	327
0	8447	322

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

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

localize120.0ms (2%)

Memory

-2.3MiB live, 129.6MiB allocated; 18ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) z) z)) #s(literal 1/2 binary64)))
accuracy	0.1171875	(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) z) z)
accuracy	0.19921875	(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) z)
accuracy	41.21456492443551	#s(approx (+ (* (+ z x) (/ (- x z) y)) y) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) z) z))
accuracy	0.0	(.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))
accuracy	0.00390625	(-.f64 y (*.f64 (/.f64 z y) z))
accuracy	0.1171875	(*.f64 (/.f64 z y) z)
accuracy	19.42915372329889	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
accuracy	0.0078125	(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
accuracy	0.1171875	(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)
accuracy	41.21392142885128	#s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))
accuracy	0.0	(*.f64 z z)
accuracy	0.0078125	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	8.665696766382037	(/.f64 (*.f64 z z) y)
accuracy	41.21392142885128	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
accuracy	0.015625	(/.f64 (-.f64 x z) y)
accuracy	0.06640625	(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) (/.f64 (-.f64 x z) y) y)
accuracy	0.22265625	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)

Samples

71.0ms

256×

valid

Compiler

Compiled 264 to 42 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 28.0ms (56.8% of total)

ival-div: 8.0ms (16.2% of total)

ival-add: 7.0ms (14.2% of total)

ival-sub: 5.0ms (10.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

exact: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

series29.0ms (0.5%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Counts

23 → 85

Calls

Call 1

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

Calls

9 calls:

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

simplify228.0ms (3.8%)

Memory

-18.2MiB live, 234.2MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	277	1196
1	973	1003
2	4196	984
0	8190	936

Stop Event

1×	iter limit
1×	node limit

Counts

85 → 82

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

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

rewrite222.0ms (3.7%)

Memory

22.1MiB live, 157.5MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	332
0	71	305
1	264	299
2	2093	299
0	8741	294

Stop Event

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

Counts

23 → 837

Calls

Call 1

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

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

eval139.0ms (2.3%)

Memory: -16.8MiB live, 126.8MiB allocated; 16ms collecting garbage
Compiler: Compiled 36 228 to 3 425 computations (90.5% saved)

prune37.0ms (0.6%)

Memory

8.5MiB live, 55.2MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	782	4	786
Fresh	0	5	5
Picked	3	2	5
Done	0	3	3
Total	785	14	799

Accuracy

100.0%

Counts

799 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
	64.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) #s(approx (/ (- x z) y) (/.f64 x y)) y) #s(literal 1/2 binary64)))
▶	90.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* 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))
▶	64.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	73.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 x y) (.f64 z y)) (.f64 y y)) y) #s(literal 1/2 binary64)))
✓	27.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	35.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z)))
✓	62.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
✓	69.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
▶	32.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
▶	66.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
✓	35.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
	35.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)))

Compiler

Compiled 665 to 438 computations (34.1% saved)

simplify187.0ms (3.2%)

Memory

10.9MiB live, 109.4MiB allocated; 15ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	337
0	62	337
1	122	337
2	376	337
3	1463	337
4	5332	337
0	8658	332

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

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

localize191.0ms (3.2%)

Memory

-65.6MiB live, 106.1MiB allocated; 61ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) y)
accuracy	0.015625	(/.f64 (-.f64 x z) y)
accuracy	0.139003759768442	(fma.f64 (/.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64))
accuracy	5.890899519170938	(.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)
accuracy	0.0	(.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 (-.f64 x z) y)
accuracy	0.13671875	(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
accuracy	21.35133118776175	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.0703125	(fma.f64 (/.f64 x y) x y)
accuracy	22.484475766683556	#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 x y)
accuracy	0.0	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
accuracy	0.1484375	(*.f64 (/.f64 x y) x)
accuracy	43.29340124840892	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
accuracy	0.015625	(/.f64 (-.f64 x z) y)
accuracy	0.06640625	(fma.f64 (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) z) (/.f64 (-.f64 x z) y) y)
accuracy	0.1171875	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) z)
accuracy	16.908828401900934	(sqrt.f64 (pow.f64 x #s(literal 3/2 binary64)))

Samples

104.0ms

256×

valid

Compiler

Compiled 283 to 39 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-div: 42.0ms (49.6% of total)

ival-mult: 21.0ms (24.8% of total)

ival-pow: 10.0ms (11.8% of total)

ival-add: 7.0ms (8.3% of total)

ival-sub: 2.0ms (2.4% of total)

ival-sqrt: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series127.0ms (2.1%)

Memory

21.0MiB live, 107.8MiB allocated; 16ms collecting garbage

Counts

21 → 137

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	x	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (* (+ z x) 1/2) y) (/ (- x z) y)) 1/2) y) (+ (* (/ (* (+ z x) 1/2) y) (/ (- x z) y)) 1/2) (/ (* (+ z x) 1/2) y) (sqrt (pow x 3/2)) (/ (- x z) y))
32.0ms	x	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (* (+ z x) 1/2) y) (/ (- x z) y)) 1/2) y) (+ (* (/ (* (+ z x) 1/2) y) (/ (- x z) y)) 1/2) (/ (* (+ z x) 1/2) y) (sqrt (pow x 3/2)) (/ (- x z) y))
18.0ms	z	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (* (+ z x) 1/2) y) (/ (- x z) y)) 1/2) y) (+ (* (/ (* (+ z x) 1/2) y) (/ (- x z) y)) 1/2) (/ (* (+ z x) 1/2) y) (sqrt (pow x 3/2)) (/ (- x z) y))
11.0ms	x	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (* (+ z x) 1/2) y) (/ (- x z) y)) 1/2) y) (+ (* (/ (* (+ z x) 1/2) y) (/ (- x z) y)) 1/2) (/ (* (+ z x) 1/2) y) (sqrt (pow x 3/2)) (/ (- x z) y))
4.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (* (+ z x) 1/2) y) (/ (- x z) y)) 1/2) y) (+ (* (/ (* (+ z x) 1/2) y) (/ (- x z) y)) 1/2) (/ (* (+ z x) 1/2) y) (sqrt (pow x 3/2)) (/ (- x z) y))

simplify192.0ms (3.2%)

Memory

-3.3MiB live, 186.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	469	2432
1	1670	1995
2	7616	1951
0	8286	1848

Stop Event

1×	iter limit
1×	node limit

Counts

137 → 134

Calls

Call 1

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

Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) y) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) y) #s(literal 1/2 binary64))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z (*.f64 (fma.f64 (/.f64 x y) 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)))))
(fma.f64 #s(literal 0 binary64) z (-.f64 y (/.f64 (*.f64 z 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)))
z
(+ x z)
(+.f64 z x)
(* 1/2 (/ (pow x 2) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ x y)
(/.f64 x y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
y
(+ y (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x y)
(* -1/2 (/ (pow z 2) y))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
(* -1 (/ (pow z 2) y))
(/.f64 (*.f64 (neg.f64 z) z) y)
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(+ (* -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 (*.f64 (neg.f64 z) z) 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)
(+ (* 1/2 (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))))
(fma.f64 (.f64 z y) #s(literal 0 binary64) (.f64 (fma.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(+ (* x (+ (* 1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* 1/2 (/ x y)))) (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (.f64 (/.f64 x y) #s(literal 1/2 binary64))) x (.f64 (fma.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))
(fma.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* 1/2 (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))))
(fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64) #s(literal 0 binary64)) z #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* x (+ (* 1/2 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* 1/2 (/ x (pow y 2)))))))
(+.f64 (fma.f64 #s(literal 0 binary64) z (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 z (.f64 #s(literal -1/2 binary64) z))) (.f64 y y))) #s(literal 1/2 binary64))
(* 1/2 (/ z y))
(*.f64 (/.f64 z y) #s(literal 1/2 binary64))
(+ (* 1/2 (/ x y)) (* 1/2 (/ z y)))
(/.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) y)
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (+.f64 x (neg.f64 z)) y)
(* (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 (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) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)) 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 z (/.f64 z x))) (.f64 y x)) (+.f64 (/.f64 y (.f64 x x)) (/.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y))) (*.f64 x x))
x
(* x (+ 1 (/ z x)))
(fma.f64 (/.f64 z x) x x)
(* (pow x 2) (+ (* 1/2 (/ y (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) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(.f64 (+.f64 (/.f64 (fma.f64 (.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 0 binary64) x)) (*.f64 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 (+.f64 (/.f64 (.f64 (neg.f64 z) z) (.f64 x x)) #s(literal 1 binary64)) y) (/.f64 #s(literal 0 binary64) x)) (.f64 x x))
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y))))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 0 binary64) x) y (/.f64 #s(literal 1/2 binary64) y)) x) x)
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (+ (* 1/2 (/ 1 y)) (/ (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) (pow x 2)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 z z) y) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x)) x) (/.f64 #s(literal 1/2 binary64) y)) (.f64 x x))
(* 1/2 (/ (pow x 2) (pow y 2)))
(.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 0 binary64) x)) x) x)
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (* 1/2 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 (pow y 2)))))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z)) (.f64 x x))) (.f64 y y))) (.f64 x x))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ z (* x y))) (* 1/2 (/ 1 y))))
(*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) x)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64)) y) x)
(* -1/2 (* (pow -1 1/4) (* (/ (pow x 2) y) (sqrt (sqrt -1)))))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) y)))
(* (pow x 2) (+ (* -1/2 (* (pow -1 1/4) (* (/ 1 y) (sqrt (sqrt -1))))) (* 1/2 (/ (+ (* (pow -1 1/4) (* (/ z y) (sqrt (sqrt -1)))) (/ z y)) x))))
(.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) y) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) z) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) z) (.f64 y x)))) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* (pow -1 1/4) (* (/ z y) (sqrt (sqrt -1)))) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* -1/2 (* (pow -1 1/4) (* (/ 1 y) (sqrt (sqrt -1)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) y)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 y (/.f64 (.f64 z z) y)) x) (/.f64 (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) z) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) z) y))) x)) (.f64 x x))
(* -1 (* (pow -1 1/4) (* (/ (pow x 2) y) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 x x) y)))
(* (pow x 2) (+ (* -1 (* (pow -1 1/4) (* (/ 1 y) (sqrt (sqrt -1))))) (+ (* (pow -1 1/4) (* (/ z (* x y)) (sqrt (sqrt -1)))) (/ z (* x y)))))
(.f64 (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) y) (/.f64 (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) z) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) z) (.f64 y x))) (.f64 x x))
(* (pow x 2) (+ (* -1 (* (pow -1 1/4) (* (/ 1 y) (sqrt (sqrt -1))))) (* -1 (/ (+ (* -1 (+ (* (pow -1 1/4) (* (/ z y) (sqrt (sqrt -1)))) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x))))
(.f64 (.f64 (neg.f64 x) x) (fma.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) y) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 y (/.f64 (.f64 z z) y)) x) (/.f64 (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) z) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) z) y))) x)))
(* -1 (* (pow -1 1/4) (* x (sqrt (sqrt -1)))))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) x) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (* -1 (/ z x)) (* (pow -1 1/4) (sqrt (sqrt -1))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 (neg.f64 z) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 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))) (/ (pow z 2) (* x y))) x)) (/ 1 y)))
(.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z x) (/.f64 z y) #s(literal 0 binary64)) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x) x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) x)) (* -1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) x)) (* 1/2 (/ 1 y))))
(.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (/.f64 (/.f64 (.f64 z z) y) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (.f64 #s(literal 0 binary64) y)) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))) x)) (* -1/2 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) x)) (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 0 binary64)) x) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) x) x)
(* -1 (* x (- (* -1/2 (/ z (* x y))) (* 1/2 (/ 1 y)))))
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) 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 x z) (+.f64 z x) (.f64 y y)) #s(literal 1/2 binary64)) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/.f64 (.f64 (fma.f64 (-.f64 x z) (+.f64 z x) (.f64 y y)) #s(literal 1/2 binary64)) y)
(/ (* (+ 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 x z) (+.f64 z x) (*.f64 y y)) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64))
(/ (+ (pow x 2) (pow y 2)) y)
(/.f64 (fma.f64 y y (*.f64 x x)) y)
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(.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 x z) y) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) (pow y 2))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (-.f64 x z) (+.f64 z x) (.f64 y y)) y))
(* 1/2 (/ (+ x z) y))
(/.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(.f64 (fma.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(.f64 (fma.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) y)
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(fma.f64 (*.f64 y (+.f64 z x)) (/.f64 (/.f64 (-.f64 x z) y) y) y)
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))
(fma.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(.f64 (neg.f64 y) (-.f64 (.f64 (*.f64 #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 (neg.f64 (+.f64 z x)) (/.f64 (/.f64 (-.f64 x z) 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 x (/.f64 (/.f64 x y) y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (.f64 (neg.f64 x) x) y) y) #s(literal 1 binary64)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(/.f64 (fma.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64) (.f64 z (*.f64 #s(literal -1/2 binary64) z))) y)
(* 1/2 (+ y (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(*.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x y) #s(literal 1/2 binary64))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(+ 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 (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal 0 binary64)) z (fma.f64 (/.f64 x y) x y))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)) x)
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
(+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))
(*.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x)
(+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))
(fma.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal 0 binary64)) z (/.f64 (*.f64 x x) y))
(+ (* 1/2 (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))))
(fma.f64 (.f64 z y) #s(literal 0 binary64) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x) #s(literal 1/2 binary64)) y))
(+ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (.f64 #s(literal -1/2 binary64) (/.f64 z y))) z (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x) #s(literal 1/2 binary64)) y))
(+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (* 1/2 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64) #s(literal 0 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* z (+ (* -1/2 (/ z (pow y 2))) (* 1/2 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
(+.f64 (fma.f64 #s(literal 0 binary64) z (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 z (.f64 #s(literal -1/2 binary64) z))) (.f64 y y))) #s(literal 1/2 binary64))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 #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 (.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 (/.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 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) z) z)
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) z) (/.f64 #s(literal 1 binary64) y))) (.f64 z z))
(* z (+ 1 (/ x z)))
(fma.f64 (/.f64 x z) z z)
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (fma.f64 (/.f64 x (.f64 z z)) (/.f64 x y) #s(literal 0 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (/ (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))
(* (pow z 2) (- (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
(* (pow z 2) (- (+ (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (/ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) (pow z 2))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 x x) #s(literal 1/2 binary64)) z) (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y))) (*.f64 z z))
(* -1/2 (/ (pow z 2) (pow y 2)))
(.f64 (/.f64 (/.f64 (.f64 z z) y) y) #s(literal -1/2 binary64))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) z) z)
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (+ (* 1/2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1/2 (pow z 2)))) (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 x x) #s(literal 1/2 binary64)) z) z) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (*.f64 z z))
(* z (+ (* 1/2 (/ x (* y z))) (* 1/2 (/ 1 y))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y) z))
(* z (- (/ x (* y z)) (/ 1 y)))
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z)
(* (pow z 2) (- (* -1/2 (/ (+ (* -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 (/.f64 x y) x y) z) #s(literal -1/2 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) z) z)
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1 binary64) #s(literal 0 binary64)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) (.f64 z z))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 x (/.f64 (/.f64 x y) z)) #s(literal -1/2 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* y z))) (/ x y))) z)) (/ 1 y)))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 x (/.f64 (/.f64 x 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 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ (* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) z)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) z)) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 x x) #s(literal 1/2 binary64)) z) (.f64 #s(literal 0 binary64) y)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) z) z)
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) z)) (* 1/2 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) z)) (* 1/2 (/ 1 (pow y 2)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 x x) #s(literal 1/2 binary64)) z) #s(literal -1 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 y y))) (.f64 z z))
(* -1 (* z (- (* -1/2 (/ x (* y z))) (* 1/2 (/ 1 y)))))
(.f64 (neg.f64 z) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal 1 binary64)) y))

rewrite207.0ms (3.5%)

Memory

10.6MiB live, 155.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	281
0	62	281
1	235	266
2	2056	256
0	9054	251

Stop Event

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

Counts

21 → 493

Calls

Call 1

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

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

eval97.0ms (1.6%)

Memory: 33.4MiB live, 122.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 26 968 to 2 808 computations (89.6% saved)

prune55.0ms (0.9%)

Memory

-24.9MiB live, 31.8MiB allocated; 9ms collecting garbage

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	666	3	669
Fresh	2	2	4
Picked	2	3	5
Done	0	5	5
Total	670	13	683

Accuracy

100.0%

Counts

683 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) #s(approx (/ (- x z) y) (/.f64 x y)) y) #s(literal 1/2 binary64)))
✓	64.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	81.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal 1/2 binary64)) y))
✓	27.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	35.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z)))
✓	62.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
✓	69.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
✓	32.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓	66.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
	76.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) (fma.f64 (*.f64 y (+.f64 z x)) (/.f64 (/.f64 (-.f64 x z) y) y) y)) #s(literal 1/2 binary64)))
✓	35.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	32.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
	35.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ (* (pow x 1/4) (sqrt (pow x 3/2))) z) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)))

Compiler

Compiled 1 064 to 398 computations (62.6% saved)

regimes53.0ms (0.9%)

Memory

-4.1MiB live, 43.0MiB allocated; 2ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

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:

21.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
6.0ms	y
6.0ms	z
6.0ms	x
6.0ms	(*.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)

regimes55.0ms (0.9%)

Memory

-10.2MiB live, 33.8MiB allocated; 5ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

#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:

36.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
4.0ms	y
4.0ms	x
4.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
86.1%	2	`(*.f64 z z)`
86.6%	2	`(*.f64 x x)`
97.9%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
86.6%	2	`x`
89.8%	2	`y`
86.1%	2	`z`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes3.0ms (0.1%)

Memory

5.8MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

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
95.3%	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)

regimes13.0ms (0.2%)

Memory

27.3MiB live, 27.3MiB allocated; 0ms collecting garbage

Counts

6 → 4

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
53.2%	2	`(*.f64 z z)`
55.4%	3	`z`
56.3%	3	`(*.f64 x x)`
56.3%	3	`x`
61.9%	4	`y`
70.7%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes7.0ms (0.1%)

Memory

-42.8MiB live, 4.1MiB allocated; 1ms collecting garbage

Counts

3 → 4

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
68.8%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
63.9%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	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
35.2%	1	`(*.f64 z z)`
35.2%	1	`z`
35.2%	1	`(*.f64 x x)`
35.2%	1	`x`
35.2%	1	`y`
35.2%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	2.1416128877054492e-150

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.1416128877054492e-150

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.029373908996988e+146	4.271659643350437e+189
0.0ms	0.0	2.1416128877054492e-150

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.029373908996988e+146	4.271659643350437e+189
0.0ms	0.0	2.1416128877054492e-150

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.1416128877054492e-150

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify93.0ms (1.6%)

Memory

-21.2MiB live, 37.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	498
1	103	498
2	268	498
3	971	498
4	2893	498

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 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))) (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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#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 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))) (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 0 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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z))) (if (or (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) (if (or (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

derivations604.0ms (10.2%)

Memory

43.9MiB live, 366.9MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	205
0	60	205
1	233	202
2	2227	202
0	9005	197
0	71	312
1	198	306
2	631	294
3	3428	292
0	8251	276
0	48	332
0	71	305
1	264	299
2	2093	299
0	8741	294

Stop Event

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

Compiler

Compiled 498 to 62 computations (87.6% saved)

preprocess97.0ms (1.6%)

Memory

-19.8MiB live, 79.1MiB allocated; 15ms collecting garbage

Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 224 to 276 computations (77.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze55.0ms (0.9%)

sample1.2s (20.1%)

explain234.0ms (3.9%)

preprocess167.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify124.0ms (2.1%)

localize29.0ms (0.5%)

series9.0ms (0.2%)

simplify155.0ms (2.6%)

rewrite192.0ms (3.2%)

eval37.0ms (0.6%)

prune11.0ms (0.2%)

simplify177.0ms (3%)

localize89.0ms (1.5%)

series54.0ms (0.9%)

simplify229.0ms (3.8%)

rewrite179.0ms (3%)

eval75.0ms (1.3%)

prune20.0ms (0.3%)

simplify149.0ms (2.5%)

localize120.0ms (2%)

series29.0ms (0.5%)

simplify228.0ms (3.8%)

rewrite222.0ms (3.7%)

eval139.0ms (2.3%)

prune37.0ms (0.6%)

simplify187.0ms (3.2%)

localize191.0ms (3.2%)

series127.0ms (2.1%)

simplify192.0ms (3.2%)

rewrite207.0ms (3.5%)

eval97.0ms (1.6%)

prune55.0ms (0.9%)

regimes53.0ms (0.9%)

regimes55.0ms (0.9%)

regimes3.0ms (0.1%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify93.0ms (1.6%)

derivations604.0ms (10.2%)

preprocess97.0ms (1.6%)

end0.0ms (0%)

Profiling