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

start0.0ms (0%)

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

analyze93.0ms (1.7%)

Memory

-30.0MiB live, 60.3MiB allocated; 23ms 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 (22.7%)

Memory

34.7MiB live, 1 782.1MiB allocated; 361ms collecting garbage

Samples

771.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 495.0ms

ival-mult: 312.0ms (63% of total)

ival-div: 74.0ms (14.9% of total)

ival-sub: 58.0ms (11.7% of total)

ival-add: 36.0ms (7.3% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain140.0ms (2.6%)

Memory

5.6MiB live, 285.1MiB allocated; 51ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
69	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
21	-	-	`(-.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	63	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	139
↳	`(*.f64 y y)`	overflow	58
↳	`(*.f64 x x)`	overflow	56
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	102
↳	`(*.f64 z z)`	overflow	58
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	21	0
↳	`(*.f64 y y)`	overflow	58
↳	`(*.f64 x x)`	overflow	56
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	102
↳	`(*.f64 z z)`	overflow	58
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	6	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	6
↳	`(*.f64 y y)`	underflow	68
↳	`(*.f64 x x)`	underflow	68
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	19
↳	`(*.f64 z z)`	underflow	59

Confusion

	Predicted +	Predicted -
+	84	0
-	0	172

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	0
-	0	0	172

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	172
1	78
2	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 16.0ms (63.6% of total)

ival-div: 3.0ms (11.9% of total)

ival-sub: 2.0ms (7.9% of total)

ival-add: 2.0ms (7.9% 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)

preprocess186.0ms (3.5%)

Memory

20.9MiB live, 315.1MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	150	135
2	907	135
3	3830	135
0	11	15
0	18	15
1	45	15
2	197	15
3	927	13
4	3897	13
0	8137	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

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.9%	(/.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)

simplify235.0ms (4.4%)

Memory

-12.4MiB live, 275.3MiB allocated; 23ms 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	197	49
3	927	47
4	3897	47
0	8137	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)

localize42.0ms (0.8%)

Memory

-2.4MiB live, 43.9MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	4.640606422471853	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	16.054107798636664	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

35.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 22.0ms (83% of total)

ival-div: 2.0ms (7.5% of total)

ival-sub: 1.0ms (3.8% of total)

ival-add: 1.0ms (3.8% 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)

series10.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

5 → 27

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)
(*.f64 y #s(literal 2 binary64))

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))
(* 2 y)
(* 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
2.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2))
1.0ms	x	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2))
1.0ms	x	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2))
1.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2))
1.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2))

simplify282.0ms (5.3%)

Memory

1.6MiB live, 287.9MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	314
1	201	304
2	710	288
3	4279	286
0	8229	269

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

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

rewrite72.0ms (1.3%)

Memory

-9.5MiB live, 80.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	18	39
1	76	39
0	759	36

Stop Event

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

Counts

5 → 137

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)
(*.f64 y #s(literal 2 binary64))

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

eval71.0ms (1.3%)

Memory: -3.3MiB live, 42.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 313 to 581 computations (82.5% saved)

prune7.0ms (0.1%)

Memory

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

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	149	10	159
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	150	10	160

Accuracy

100.0%

Counts

160 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 z x))) (.f64 y #s(literal 2 binary64)))
	54.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)))
	54.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 (.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)))
	70.0%	#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)))
▶	30.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	62.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	63.2%	#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)))
▶	38.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	27.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 526 to 346 computations (34.2% saved)

simplify209.0ms (3.9%)

Memory

-0.5MiB live, 329.1MiB allocated; 38ms collecting garbage

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	244
0	50	244
1	102	244
2	314	244
3	1272	232
4	5046	232
0	8336	230

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

localize68.0ms (1.3%)

Memory

-15.5MiB live, 130.1MiB allocated; 11ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (-.f64 x z) (+.f64 z x))
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	16.054107798636664	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 z x))) (.f64 y #s(literal 2 binary64)))
accuracy	21.61901349008555	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x)))
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(-.f64 y (/.f64 (*.f64 z z) y))
accuracy	7.441879789860785	(/.f64 (*.f64 z z) y)
accuracy	20.658473098331797	#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	8.320248888942166	(/.f64 (*.f64 x x) y)
accuracy	42.10649741658933	#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	39.406348395111586	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
accuracy	0.0078125	(/.f64 (-.f64 x z) y)
accuracy	0.05859375	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

46.0ms

256×

valid

Compiler

Compiled 197 to 27 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 14.0ms (48.4% of total)

ival-div: 6.0ms (20.7% of total)

ival-sub: 4.0ms (13.8% of total)

ival-add: 3.0ms (10.4% 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)

series36.0ms (0.7%)

Memory

6.1MiB live, 49.7MiB allocated; 10ms 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)
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 z x))) (.f64 y #s(literal 2 binary64)))
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x)))
(*.f64 (-.f64 x z) (+.f64 z x))
(-.f64 x z)
(/.f64 (-.f64 x z) y)
(*.f64 z z)
(*.f64 y #s(literal 2 binary64))

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (/ (- x z) y) (* z z) (* y 2))
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) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (/ (- x z) y) (* z z) (* y 2))
4.0ms	x	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (/ (- x z) y) (* z z) (* y 2))
3.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (/ (- x z) y) (* z z) (* y 2))
3.0ms	x	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (/ (- x z) y) (* z z) (* y 2))

simplify271.0ms (5.1%)

Memory

13.2MiB live, 221.8MiB allocated; 132ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	320	1243
1	1078	1114
2	4658	1083
0	8414	1035

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

rewrite92.0ms (1.7%)

Memory

-15.1MiB live, 86.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	222
0	50	222
1	180	222
0	1561	216

Stop Event

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

Counts

21 → 200

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

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

eval58.0ms (1.1%)

Memory: 10.6MiB live, 98.7MiB allocated; 22ms collecting garbage
Compiler: Compiled 10 339 to 1 286 computations (87.6% saved)

prune26.0ms (0.5%)

Memory

-34.9MiB live, 64.6MiB allocated; 22ms collecting garbage

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	304	10	314
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	310	14	324

Accuracy

100.0%

Counts

324 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 y y))
	70.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	75.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) y) #s(literal 1/2 binary64)))
▶	91.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) #s(literal 1/2 binary64)))
✓	62.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	67.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
▶	34.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	30.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
	60.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (- y (/ ( z z) y)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z (.f64 y y)) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))
	42.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (- y (/ ( z z) y)) (.f64 (-.f64 (/.f64 y (.f64 z z)) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))) #s(literal 1/2 binary64)))
▶	30.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (- y (/ ( z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64)))
▶	67.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) z y)) #s(literal 1/2 binary64)))
✓	38.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	27.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 764 to 493 computations (35.5% saved)

simplify230.0ms (4.3%)

Memory

50.3MiB live, 185.4MiB allocated; 18ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	392
0	74	386
1	140	386
2	384	386
3	1389	376
4	5835	376
0	8493	368

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

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

localize165.0ms (3.1%)

Memory

-1.3MiB live, 188.9MiB allocated; 23ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) z y)) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) z y)) #s(literal 1/2 binary64)))
accuracy	0.0546875	(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) z y)
accuracy	20.658478655101945	#s(approx (+ (* (+ z x) (/ (- x z) y)) y) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) z y))
accuracy	0.0	(neg.f64 z)
accuracy	0.1328125	(*.f64 (neg.f64 z) (/.f64 z y))
accuracy	20.658473098331797	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (- y (/ ( z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64)))
accuracy	32.86477148393034	#s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
accuracy	0.17578125	(*.f64 (/.f64 x y) x)
accuracy	42.10649741658933	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	7.441879789860785	(/.f64 (*.f64 z z) y)
accuracy	44.46869353086847	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
accuracy	0.01171875	(-.f64 #s(literal 1 binary64) (/.f64 x z))
accuracy	0.05859375	(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y)
accuracy	2.8619850222785295	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y)
accuracy	5.1089611230207055	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))

Samples

107.0ms

256×

valid

Compiler

Compiled 252 to 41 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 39.0ms (58.6% of total)

ival-div: 16.0ms (24% of total)

ival-add: 5.0ms (7.5% of total)

ival-sub: 5.0ms (7.5% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series46.0ms (0.9%)

Memory

-37.5MiB live, 74.4MiB allocated; 26ms collecting garbage

Counts

25 → 91

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	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 (/ (* z z) y)) (/ (* z z) y) (* z 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (* (neg z) (/ z y)) (- 0 z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- 1 (/ x z)) y) (- 1 (/ x z)) (neg z) (+ (* (/ (- 0 z) y) z) y))
8.0ms	x	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (* (neg z) (/ z y)) (- 0 z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- 1 (/ x z)) y) (- 1 (/ x z)) (neg z) (+ (* (/ (- 0 z) y) z) y))
6.0ms	z	@	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 (/ (* z z) y)) (/ (* z z) y) (* z 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (* (neg z) (/ z y)) (- 0 z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- 1 (/ x z)) y) (- 1 (/ x z)) (neg z) (+ (* (/ (- 0 z) y) z) 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 (/ (* z z) y)) (/ (* z z) y) (* z 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (* (neg z) (/ z y)) (- 0 z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- 1 (/ x z)) y) (- 1 (/ x z)) (neg z) (+ (* (/ (- 0 z) y) z) y))
4.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (* (neg z) (/ z y)) (- 0 z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- 1 (/ x z)) y) (- 1 (/ x z)) (neg z) (+ (* (/ (- 0 z) y) z) y))

simplify256.0ms (4.8%)

Memory

-11.4MiB live, 224.0MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	1175
1	883	1017
2	3721	996
0	8364	954

Stop Event

1×	iter limit
1×	node limit

Counts

91 → 88

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

rewrite110.0ms (2%)

Memory

27.0MiB live, 126.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	345
0	74	340
1	266	340
0	2348	332

Stop Event

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

Counts

25 → 218

Calls

Call 1

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

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

eval48.0ms (0.9%)

Memory: -18.8MiB live, 110.9MiB allocated; 25ms collecting garbage
Compiler: Compiled 11 288 to 1 392 computations (87.7% saved)

prune13.0ms (0.2%)

Memory

37.3MiB live, 37.3MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	279	5	284
Fresh	3	4	7
Picked	3	2	5
Done	0	2	2
Total	285	13	298

Accuracy

100.0%

Counts

298 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 y y))
▶	70.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	94.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) #s(approx ( (/ (- 1 (/ x z)) y) (neg z)) (*.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 z y)))) y) #s(literal 1/2 binary64)))
✓	62.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
✓	34.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	30.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
▶	30.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
▶	60.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (- y (/ ( z z) y)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z (.f64 y y)) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))
▶	67.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (/.f64 (neg.f64 z) y) z y)) #s(literal 1/2 binary64)))
	34.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)) x) x)) #s(literal 1/2 binary64)))
✓	38.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	27.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
	30.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)))

Compiler

Compiled 682 to 447 computations (34.5% saved)

simplify181.0ms (3.4%)

Memory

-2.3MiB live, 142.2MiB allocated; 28ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	474
0	82	474
1	154	474
2	434	474
3	1639	455
4	7077	455
0	8378	443

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

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

localize137.0ms (2.6%)

Memory

-29.3MiB live, 163.4MiB allocated; 46ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.6349229149978894	(fma.f64 (neg.f64 z) (/.f64 z (*.f64 y y)) #s(literal 1 binary64))
accuracy	4.977771646674769	(.f64 (fma.f64 (neg.f64 z) (/.f64 z (.f64 y y)) #s(literal 1 binary64)) y)
accuracy	5.196641827673644	(/.f64 z (*.f64 y y))
accuracy	20.658473098331797	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (- y (/ ( z z) y)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z (.f64 y y)) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))
accuracy	0.0	(neg.f64 z)
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (/.f64 (neg.f64 z) y) z y)) #s(literal 1/2 binary64)))
accuracy	0.0546875	(fma.f64 (/.f64 (neg.f64 z) y) z y)
accuracy	20.658478655101945	#s(approx (+ (* (+ z x) (/ (- x z) y)) y) (fma.f64 (/.f64 (neg.f64 z) y) z y))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.1015625	(fma.f64 (/.f64 x y) x y)
accuracy	19.179724452647495	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
accuracy	0.0	(/.f64 z y)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.1328125	(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))
accuracy	44.46869353086847	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
accuracy	0.0	#s(approx (* (/ (- 1 (/ x z)) y) (neg z)) (*.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 z y)))
accuracy	0.01171875	(+.f64 (/.f64 x z) #s(literal -1 binary64))
accuracy	0.05859375	(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) #s(approx (* (/ (- 1 (/ x z)) y) (neg z)) (*.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 z y)))) y)
accuracy	7.055053173394966	(*.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 z y))

Samples

109.0ms

256×

valid

Compiler

Compiled 275 to 47 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 29.0ms (44.2% of total)

ival-mult: 23.0ms (35% of total)

ival-add: 7.0ms (10.7% of total)

ival-sub: 4.0ms (6.1% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series39.0ms (0.7%)

Memory

40.8MiB live, 84.2MiB allocated; 5ms collecting garbage

Counts

26 → 100

Calls

Call 1

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

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

Calls

9 calls:

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

simplify150.0ms (2.8%)

Memory

-16.0MiB live, 165.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1283
1	951	1120
2	3951	1111
0	8161	1059

Stop Event

1×	iter limit
1×	node limit

Counts

100 → 97

Calls

Call 1

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

rewrite101.0ms (1.9%)

Memory

-1.6MiB live, 104.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	415
0	82	415
1	300	415
0	2531	407

Stop Event

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

Counts

26 → 206

Calls

Call 1

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

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

eval37.0ms (0.7%)

Memory: -11.4MiB live, 78.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 14 044 to 1 523 computations (89.2% saved)

prune16.0ms (0.3%)

Memory

29.3MiB live, 29.3MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	300	2	302
Fresh	1	3	4
Picked	1	4	5
Done	0	4	4
Total	302	13	315

Accuracy

100.0%

Counts

315 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 y y))
✓	70.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	64.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) #s(approx ( (/ (- 1 (/ x z)) y) (neg z)) (*.f64 #s(approx (+ (/ x z) -1) (/.f64 x z)) (/.f64 z y)))) y) #s(literal 1/2 binary64)))
✓	62.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
✓	34.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	30.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
✓	30.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
✓	60.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (- y (/ ( z z) y)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z (.f64 y y)) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))
	61.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ x y) x) y) (.f64 (neg.f64 y) (fma.f64 (neg.f64 x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
✓	67.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (/.f64 (neg.f64 z) y) z y)) #s(literal 1/2 binary64)))
✓	38.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	27.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
	30.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)))

Compiler

Compiled 1 258 to 429 computations (65.9% saved)

regimes49.0ms (0.9%)

Memory

-28.3MiB live, 71.5MiB allocated; 10ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

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:

12.0ms	z
8.0ms	(*.f64 z z)
7.0ms	y
7.0ms	x
6.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

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)

regimes27.0ms (0.5%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Counts

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

Outputs

#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 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)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
88.7%	3	`(*.f64 z z)`
87.6%	2	`(*.f64 x x)`
97.7%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
87.6%	2	`x`
90.3%	3	`y`
88.7%	3	`z`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes12.0ms (0.2%)

Memory

-34.8MiB live, 11.7MiB allocated; 1ms collecting garbage

Counts

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

Outputs

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
95.8%	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)

regimes3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB 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 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (- y (/ ( z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)))

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
95.6%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes13.0ms (0.3%)

Memory

30.8MiB live, 30.8MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

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
57.7%	3	`(*.f64 z z)`
59.9%	4	`z`
57.5%	2	`(*.f64 x x)`
57.5%	2	`x`
61.9%	4	`y`
72.1%	3	`(/.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)

regimes28.0ms (0.5%)

Memory

-42.7MiB live, 2.9MiB allocated; 2ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
70.4%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0%)

Memory

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

Counts

3 → 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 #s(literal -1/2 binary64) z) (/.f64 z y)))

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
65.9%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes1.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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
61.4%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB 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 z z)

Results

Accuracy	Segments	Branch
38.4%	1	`(*.f64 z z)`
38.4%	1	`z`
38.4%	1	`(*.f64 x x)`
38.4%	1	`x`
38.4%	1	`y`
38.4%	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

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	4.072909295542723e-90

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.866945003137929e-52	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.866945003137929e-52	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.473554323625397e+153	2.942845983984623e+165
0.0ms	0.0	4.072909295542723e-90

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.473554323625397e+153	2.942845983984623e+165
0.0ms	0.0	4.072909295542723e-90

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	4.072909295542723e-90

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.866945003137929e-52	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify60.0ms (1.1%)

Memory

-2.4MiB live, 49.4MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	620
1	126	620
2	302	620
3	1104	584
4	4507	584

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 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (/.f64 (neg.f64 z) y) z 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))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 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 x x) (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 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 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #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 (+.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 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 -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (/.f64 (neg.f64 z) y) z 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))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 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 x x) (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))))
(if (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 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 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))

derivations423.0ms (7.9%)

Memory

-3.9MiB live, 317.7MiB allocated; 41ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 620 to 79 computations (87.3% saved)

preprocess83.0ms (1.6%)

Memory

-12.4MiB live, 137.2MiB allocated; 14ms collecting garbage

Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 468 to 310 computations (78.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze93.0ms (1.7%)

sample1.2s (22.7%)

explain140.0ms (2.6%)

preprocess186.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify235.0ms (4.4%)

localize42.0ms (0.8%)

series10.0ms (0.2%)

simplify282.0ms (5.3%)

rewrite72.0ms (1.3%)

eval71.0ms (1.3%)

prune7.0ms (0.1%)

simplify209.0ms (3.9%)

localize68.0ms (1.3%)

series36.0ms (0.7%)

simplify271.0ms (5.1%)

rewrite92.0ms (1.7%)

eval58.0ms (1.1%)

prune26.0ms (0.5%)

simplify230.0ms (4.3%)

localize165.0ms (3.1%)

series46.0ms (0.9%)

simplify256.0ms (4.8%)

rewrite110.0ms (2%)

eval48.0ms (0.9%)

prune13.0ms (0.2%)

simplify181.0ms (3.4%)

localize137.0ms (2.6%)

series39.0ms (0.7%)

simplify150.0ms (2.8%)

rewrite101.0ms (1.9%)

eval37.0ms (0.7%)

prune16.0ms (0.3%)

regimes49.0ms (0.9%)

regimes27.0ms (0.5%)

regimes12.0ms (0.2%)

regimes3.0ms (0.1%)

regimes13.0ms (0.3%)

regimes28.0ms (0.5%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify60.0ms (1.1%)

derivations423.0ms (7.9%)

preprocess83.0ms (1.6%)

end0.0ms (0%)

Profiling