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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze43.0ms (0.6%)

Memory

-6.4MiB live, 65.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample982.0ms (14.4%)

Memory

8.6MiB live, 1 360.7MiB allocated

Samples

640.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 424.0ms

ival-mult: 248.0ms (58.5% of total)

ival-add: 66.0ms (15.6% of total)

ival-div: 60.0ms (14.2% of total)

ival-sub: 36.0ms (8.5% of total)

ival-true: 6.0ms (1.4% of total)

exact: 4.0ms (0.9% of total)

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

Bogosity

explain124.0ms (1.8%)

Memory

8.3MiB live, 210.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
74	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
24	-	-	`(-.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	70	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	151
↳	`(*.f64 y y)`	overflow	70
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	114
↳	`(*.f64 z z)`	overflow	61
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	24	0
↳	`(*.f64 y y)`	overflow	70
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	114
↳	`(*.f64 z z)`	overflow	61
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	4	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	4
↳	`(*.f64 y y)`	underflow	64
↳	`(*.f64 x x)`	underflow	57
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	13
↳	`(*.f64 z z)`	underflow	71

Confusion

	Predicted +	Predicted -
+	85	0
-	0	171

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	85	0	0
-	0	0	171

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	171
1	72
2	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 166 to 48 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (56.1% of total)

ival-div: 3.0ms (14% of total)

ival-sub: 2.0ms (9.4% of total)

ival-add: 2.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess168.0ms (2.5%)

Memory

10.6MiB live, 199.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	179	135
2	871	135
3	4497	119
0	11	15
0	18	15
1	50	15
2	217	15
3	1092	13
4	5123	13
0	8121	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 x z) (/.f64 (+.f64 z x) 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: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.4%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify133.0ms (2%)

Memory

-2.3MiB live, 113.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	50	49
2	217	49
3	1092	47
4	5123	47
0	8121	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 x z) (/.f64 (+.f64 z x) 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)

localize28.0ms (0.4%)

Memory

6.2MiB live, 43.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 y y))
accuracy	5.238262672471853	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	17.179542246181075	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 100 to 24 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (58.4% of total)

ival-div: 2.0ms (19.5% of total)

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

5 → 26

Calls

Call 1

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

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

Calls

9 calls:

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

simplify167.0ms (2.5%)

Memory

-0.6MiB live, 189.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	295
1	212	283
2	730	263
3	4342	263
0	8478	246

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite303.0ms (4.4%)

Memory

-3.2MiB live, 235.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	18	39
1	85	39
2	863	39
0	8669	36

Stop Event

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

Counts

5 → 578

Calls

Call 1

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

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

eval119.0ms (1.8%)

Memory: 6.5MiB live, 163.2MiB allocated
Compiler: Compiled 18 385 to 1 966 computations (89.3% saved)

prune61.0ms (0.9%)

Memory

9.3MiB live, 47.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	585	11	596
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	586	11	597

Accuracy

100.0%

Counts

597 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.9%	(fma.f64 (/.f64 (-.f64 y z) y) (/.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)))
	88.4%	(fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 (+.f64 y z) y) (/.f64 (-.f64 y z) #s(literal 2 binary64))))
	25.4%	(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y) y (.f64 z z)) (fma.f64 (neg.f64 y) y (.f64 z z)))) (fma.f64 x x (fma.f64 (neg.f64 y) y (.f64 z z)))) (*.f64 y #s(literal 2 binary64)))
	59.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 z x))) (.f64 y #s(literal 2 binary64)))
▶	71.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
	72.0%	#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)))
▶	34.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	57.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
▶	36.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	25.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 498 to 324 computations (34.9% saved)

simplify188.0ms (2.8%)

Memory

-15.8MiB live, 143.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y z)
cost-diff	0	(+.f64 y z)
cost-diff	0	(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
cost-diff	832	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
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: 3 (0.0ms)

Iter	Nodes	Cost
0	34	231
0	54	225
1	114	225
2	392	225
3	1999	217
0	8727	217

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

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

localize173.0ms (2.5%)

Memory

-41.7MiB live, 78.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.109375	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
accuracy	0.9999889904222409	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	17.68688778354328	(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
accuracy	0	(*.f64 z z)
accuracy	0.00390625	(-.f64 y (/.f64 (*.f64 z z) y))
accuracy	7.31168356938847	(/.f64 (*.f64 z z) y)
accuracy	23.25523841934585	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
accuracy	6.6402576847817425	(/.f64 (*.f64 x x) y)
accuracy	39.593123566832716	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	40.70582282598096	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
accuracy	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	0.0546875	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

59.0ms

256×

valid

Compiler

Compiled 434 to 66 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 24.0ms (55.3% of total)

ival-div: 9.0ms (20.7% of total)

ival-sub: 5.0ms (11.5% of total)

ival-add: 5.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (0.8%)

Memory

21.4MiB live, 59.2MiB allocated

Counts

21 → 147

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	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) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- x z) y) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
7.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x 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) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- x z) y) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
5.0ms	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) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- x z) y) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
5.0ms	z	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- x z) y) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
5.0ms	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) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- x z) y) (* z z) (+ (* (+ y z) (- y z)) (* x x)))

simplify171.0ms (2.5%)

Memory

7.8MiB live, 163.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	585	2639
1	2188	2090
0	9752	1999

Stop Event

1×	iter limit
1×	node limit

Counts

147 → 144

Calls

Call 1

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

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

rewrite233.0ms (3.4%)

Memory

-10.2MiB live, 184.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	209
0	54	205
1	243	205
2	2321	205
0	8383	205

Stop Event

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

Counts

21 → 709

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

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

eval161.0ms (2.4%)

Memory: 13.8MiB live, 163.2MiB allocated
Compiler: Compiled 26 755 to 3 484 computations (87% saved)

prune74.0ms (1.1%)

Memory

-25.2MiB live, 69.7MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	848	10	858
Fresh	2	4	6
Picked	3	2	5
Done	0	0	0
Total	853	16	869

Accuracy

100.0%

Counts

869 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y) y (.f64 z z)) (fma.f64 (neg.f64 y) y (.f64 z z)))) (fma.f64 x x (fma.f64 (neg.f64 y) y (.f64 z z)))) (*.f64 y #s(literal 2 binary64)))
	59.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 z x))) (.f64 y #s(literal 2 binary64)))
	25.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
▶	34.8%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
	93.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z x)) y) (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) y))
▶	72.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	76.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) (/.f64 (fma.f64 x y (.f64 y (neg.f64 z))) (*.f64 y y)) y) #s(literal 1/2 binary64)))
▶	94.1%	#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) y) (/.f64 z (*.f64 y x))) x)) y) #s(literal 1/2 binary64)))
	63.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
▶	93.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
✓	34.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	38.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	63.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)))
✓	36.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	25.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	28.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))

Compiler

Compiled 838 to 534 computations (36.3% saved)

simplify194.0ms (2.8%)

Memory

-7.5MiB live, 189.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)) (/.f64 (-.f64 x z) y) y)
cost-diff	0	(*.f64 (fma.f64 #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
cost-diff	896	(fma.f64 (/.f64 x z) z z)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 y (*.f64 x x))
cost-diff	0	#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
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 (/.f64 #s(literal -1/2 binary64) y) z)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
cost-diff	0	#s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))
cost-diff	0	(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y x))) x)) y)
cost-diff	0	(.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 y x))) x)) 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) y) (/.f64 z (*.f64 y x))) x)) y) #s(literal 1/2 binary64)))
cost-diff	128	(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	415
0	84	412
1	162	412
2	489	400
3	2131	394
0	8503	386

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

localize127.0ms (1.9%)

Memory

23.0MiB live, 141.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ z x) (fma.f64 (/.f64 x z) z z))
accuracy	0.0078125	(/.f64 (-.f64 x z) y)
accuracy	0.0546875	(fma.f64 #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)) (/.f64 (-.f64 x z) y) y)
accuracy	8.956246821491668	(fma.f64 (/.f64 x z) z z)
accuracy	0	(*.f64 x x)
accuracy	0.109375	(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
accuracy	6.818013596778012	(/.f64 y (*.f64 x x))
accuracy	36.737043582304295	#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.05078125	(fma.f64 (/.f64 x y) x y)
accuracy	17.859373274394937	#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	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))
accuracy	0.0859375	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
accuracy	0.234375	(*.f64 (/.f64 #s(literal -1/2 binary64) y) z)
accuracy	45.84950257534307	#s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 y x)))
accuracy	0.0546875	(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y x))) x)) y)
accuracy	2.964239513672959	(/.f64 z (*.f64 y x))
accuracy	4.703141697132748	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y x))) x)

Samples

82.0ms

256×

valid

Compiler

Compiled 686 to 101 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 22.0ms (40% of total)

ival-mult: 20.0ms (36.4% of total)

ival-add: 8.0ms (14.6% of total)

ival-sub: 4.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.8%)

Memory

10.3MiB live, 47.7MiB allocated

Counts

24 → 126

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	y	@	0	((- (/ 1 y) (/ z (* y x))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (* x x) (+ (* (/ x z) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (- (/ 1 y) (/ z (* y x))) x) (/ z (* y x)) (/ (- x z) y) (+ z x))
5.0ms	y	@	-inf	((- (/ 1 y) (/ z (* y x))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (* x x) (+ (* (/ x z) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (- (/ 1 y) (/ z (* y x))) x) (/ z (* y x)) (/ (- x z) y) (+ z x))
3.0ms	y	@	inf	((- (/ 1 y) (/ z (* y x))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (* x x) (+ (* (/ x z) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (- (/ 1 y) (/ z (* y x))) x) (/ z (* y x)) (/ (- x z) y) (+ z x))
3.0ms	z	@	inf	((- (/ 1 y) (/ z (* y x))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (* x x) (+ (* (/ x z) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (- (/ 1 y) (/ z (* y x))) x) (/ z (* y x)) (/ (- x z) y) (+ z x))
3.0ms	x	@	-inf	((- (/ 1 y) (/ z (* y x))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (* x x) (+ (* (/ x z) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (- (/ 1 y) (/ z (* y x))) x) (/ z (* y x)) (/ (- x z) y) (+ z x))

simplify166.0ms (2.4%)

Memory

-12.6MiB live, 102.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	2354
1	1990	1826
0	9697	1756

Stop Event

1×	iter limit
1×	node limit

Counts

126 → 123

Calls

Call 1

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

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

rewrite293.0ms (4.3%)

Memory

10.1MiB live, 208.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	362
0	84	362
1	358	362
2	3354	347
0	11241	334

Stop Event

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

Counts

24 → 475

Calls

Call 1

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

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

eval112.0ms (1.6%)

Memory: -5.5MiB live, 112.1MiB allocated
Compiler: Compiled 24 213 to 3 015 computations (87.5% saved)

prune41.0ms (0.6%)

Memory

10.7MiB live, 50.0MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	573	4	577
Fresh	3	6	9
Picked	2	3	5
Done	0	2	2
Total	578	15	593

Accuracy

100.0%

Counts

593 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 z x))) (.f64 y #s(literal 2 binary64)))
▶	25.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
	38.0%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 (/.f64 y x) x)))
✓	34.8%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
✓	72.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	58.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (.f64 #s(approx (- (/ 1 y) (/ z (* y x))) (/.f64 (neg.f64 z) (*.f64 x y))) x)) y) #s(literal 1/2 binary64)))
	63.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
✓	93.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
✓	34.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	38.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
▶	63.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)))
▶	67.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ x y) x) y) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))
✓	36.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	25.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	28.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z)))

Compiler

Compiled 686 to 451 computations (34.3% saved)

simplify153.0ms (2.2%)

Memory

-0.1MiB live, 191.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 z) z)
cost-diff	0	#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
cost-diff	0	(/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
cost-diff	0	(+.f64 z y)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (+.f64 z y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)))
cost-diff	128	(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y))
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 (*.f64 #s(literal -1/2 binary64) z) y)
cost-diff	0	(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z)
cost-diff	0	#s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z)))
cost-diff	0	(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (+ (* (/ x y) x) y) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff	0	(.f64 #s(approx (+ ( (/ x y) x) y) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x 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 (+ ( (/ x y) x) y) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	336
0	71	336
1	158	336
2	507	336
3	2407	336
0	8191	322

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (1.4%)

Memory

5.8MiB live, 164.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.109375	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
accuracy	17.68688778354328	(/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)))
accuracy	45.4315313315109	#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (+.f64 z y))
accuracy	0.03125	(/.f64 (-.f64 y z) y)
accuracy	0.078125	(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y))
accuracy	23.25523841934585	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)))
accuracy	0	(/.f64 x y)
accuracy	0.0078125	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
accuracy	0.08203125	(*.f64 (/.f64 x y) x)
accuracy	39.593123566832716	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z)))
accuracy	0.00390625	(/.f64 (*.f64 #s(literal -1/2 binary64) z) y)
accuracy	0.0859375	(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z)
accuracy	45.84950257534307	#s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z))
accuracy	0	#s(approx (+ (* (/ x y) x) y) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y))
accuracy	0.08431625976844202	(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64))
accuracy	4.237002678557417	(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y)
accuracy	17.859373274394937	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ x y) x) y) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))

Samples

70.0ms

256×

valid

Compiler

Compiled 568 to 98 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 24.0ms (45.9% of total)

ival-add: 12.0ms (23% of total)

ival-div: 11.0ms (21.1% of total)

ival-sub: 4.0ms (7.7% of total)

ival-neg: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series58.0ms (0.8%)

Memory

8.1MiB live, 46.0MiB allocated

Counts

23 → 132

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (* (+ (* (/ x y) (/ x y)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (/ (* -1/2 z) y) z) (/ (* -1/2 z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (* (* 1/2 (+ z y)) (/ (- y z) y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 (+ z y)) (+ z y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (+ (* (/ x y) (/ x y)) 1) (/ (- y z) y) (neg z))
4.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (* (+ (* (/ x y) (/ x y)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (/ (* -1/2 z) y) z) (/ (* -1/2 z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (* (* 1/2 (+ z y)) (/ (- y z) y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 (+ z y)) (+ z y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (+ (* (/ x y) (/ x y)) 1) (/ (- y z) y) (neg z))
4.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (* (+ (* (/ x y) (/ x y)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (/ (* -1/2 z) y) z) (/ (* -1/2 z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (* (* 1/2 (+ z y)) (/ (- y z) y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 (+ z y)) (+ z y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (+ (* (/ x y) (/ x y)) 1) (/ (- y z) y) (neg z))
3.0ms	z	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (* (+ (* (/ x y) (/ x y)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (/ (* -1/2 z) y) z) (/ (* -1/2 z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (* (* 1/2 (+ z y)) (/ (- y z) y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 (+ z y)) (+ z y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (+ (* (/ x y) (/ x y)) 1) (/ (- y z) y) (neg z))
3.0ms	z	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (* (+ (* (/ x y) (/ x y)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (/ (* -1/2 z) y) z) (/ (* -1/2 z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (* (* 1/2 (+ z y)) (/ (- y z) y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 (+ z y)) (+ z y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (+ (* (/ x y) (/ x y)) 1) (/ (- y z) y) (neg z))

simplify174.0ms (2.6%)

Memory

-17.6MiB live, 221.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	533	2262
1	2002	1798
0	9647	1709

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 130

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

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

rewrite532.0ms (7.8%)

Memory

-139.9MiB live, 285.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	311
0	71	306
1	311	306
2	2923	306
0	9073	290

Stop Event

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

Counts

23 → 355

Calls

Call 1

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

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

eval111.0ms (1.6%)

Memory: 18.4MiB live, 129.2MiB allocated
Compiler: Compiled 19 901 to 2 522 computations (87.3% saved)

prune33.0ms (0.5%)

Memory

-4.1MiB live, 77.9MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	567	2	569
Fresh	0	5	5
Picked	0	5	5
Done	1	4	5
Total	568	16	584

Accuracy

100.0%

Counts

584 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 x z) (+.f64 z x))) (.f64 y #s(literal 2 binary64)))
✓	25.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
	38.0%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 (/.f64 y x) x)))
✓	34.8%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
✓	72.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	58.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (.f64 #s(approx (- (/ 1 y) (/ z (* y x))) (/.f64 (neg.f64 z) (*.f64 x y))) x)) y) #s(literal 1/2 binary64)))
	63.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
✓	34.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	38.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
✓	38.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓	63.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)))
✓	67.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ x y) x) y) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))
	62.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (/ x y) x) y) (.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))
✓	36.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	25.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
✓	28.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z)))

Compiler

Compiled 1 186 to 455 computations (61.6% saved)

regimes75.0ms (1.1%)

Memory

-5.2MiB live, 114.1MiB allocated

Counts

28 → 1

Calls

Call 1

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

Calls

6 calls:

32.0ms	x
10.0ms	z
9.0ms	(*.f64 x x)
8.0ms	y
7.0ms	(*.f64 z z)

Results

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

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes47.0ms (0.7%)

Memory

3.6MiB live, 76.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

6 calls:

22.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
6.0ms	x
4.0ms	z
4.0ms	y
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
89.0%	2	`x`
88.9%	2	`y`
88.8%	2	`z`
96.2%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
89.0%	2	`(*.f64 x x)`
88.8%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes4.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
95.5%	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)

regimes22.0ms (0.3%)

Memory

-29.0MiB live, 56.3MiB allocated

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

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

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

Calls

6 calls:

7.0ms	z
4.0ms	(*.f64 x x)
3.0ms	y
3.0ms	x
2.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
60.0%	5	`z`
58.1%	4	`(*.f64 z z)`
62.5%	3	`y`
62.3%	3	`x`
61.2%	3	`(*.f64 x x)`
70.5%	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)

regimes7.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
40.7%	2	`x`
53.6%	2	`y`
59.8%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
59.8%	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)

regimes13.0ms (0.2%)

Memory

-8.3MiB live, 29.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(*.f64 z z)
3.0ms	y
2.0ms	x
1.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
1.0ms	z

Results

Accuracy	Segments	Branch
36.4%	1	`x`
36.4%	1	`y`
36.4%	1	`(*.f64 z z)`
36.4%	1	`z`
36.4%	1	`(*.f64 x x)`
36.4%	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

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.8110950074007482e-101

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.8110950074007482e-101

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.6560180905426674e+148	2.874939025099591e+152
0.0ms	0.0	1.8110950074007482e-101

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.8110950074007482e-101

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.8110950074007482e-101

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify107.0ms (1.6%)

Memory

-15.9MiB live, 103.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	456
1	90	456
2	115	456
3	161	456
4	270	456
5	459	456
6	625	456
7	777	456
8	885	456
9	972	456
10	979	456

Stop Event

1×

saturated

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 (fma.f64 (neg.f64 z) (/.f64 z y) 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 0 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 -1/2 binary64) z) y) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 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 -1/2 binary64) z) y) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 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)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(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)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
(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 (fma.f64 (neg.f64 z) (/.f64 z y) 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 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z y) 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 0 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 -1/2 binary64) z) y) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 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 -1/2 binary64) z) y) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 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 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 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)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 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 -1/2 binary64) z) y) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

soundness1.1s (15.8%)

Memory

22.3MiB live, 666.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	362
0	84	362
1	358	362
2	3354	347
0	11241	334
0	585	2639
1	2188	2090
0	9752	1999
0	71	295
1	212	283
2	730	263
3	4342	263
0	8478	246
0	34	209
0	54	205
1	243	205
2	2321	205
0	8383	205

Stop Event

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

Compiler

Compiled 659 to 249 computations (62.2% saved)

preprocess128.0ms (1.9%)

Memory

-0.9MiB live, 228.6MiB allocated

Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 308 to 396 computations (69.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	66	456
1	90	456
2	115	456
3	161	456
4	270	456
5	459	456
6	625	456
7	777	456
8	885	456
9	972	456
10	979	456

Iter	Nodes	Cost
0	66	456
1	90	456
2	115	456
3	161	456
4	270	456
5	459	456
6	625	456
7	777	456
8	885	456
9	972	456
10	979	456

start0.0ms (0%)

analyze43.0ms (0.6%)

sample982.0ms (14.4%)

explain124.0ms (1.8%)

preprocess168.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify133.0ms (2%)

localize28.0ms (0.4%)

series9.0ms (0.1%)

simplify167.0ms (2.5%)

rewrite303.0ms (4.4%)

eval119.0ms (1.8%)

prune61.0ms (0.9%)

simplify188.0ms (2.8%)

localize173.0ms (2.5%)

series55.0ms (0.8%)

simplify171.0ms (2.5%)

rewrite233.0ms (3.4%)

eval161.0ms (2.4%)

prune74.0ms (1.1%)

simplify194.0ms (2.8%)

localize127.0ms (1.9%)

series52.0ms (0.8%)

simplify166.0ms (2.4%)

rewrite293.0ms (4.3%)

eval112.0ms (1.6%)

prune41.0ms (0.6%)

simplify153.0ms (2.2%)

localize98.0ms (1.4%)

series58.0ms (0.8%)

simplify174.0ms (2.6%)

rewrite532.0ms (7.8%)

eval111.0ms (1.6%)

prune33.0ms (0.5%)

regimes75.0ms (1.1%)

regimes47.0ms (0.7%)

regimes4.0ms (0.1%)

regimes22.0ms (0.3%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify107.0ms (1.6%)

soundness1.1s (15.8%)

preprocess128.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	66	456
1	90	456
2	115	456
3	161	456
4	270	456
5	459	456
6	625	456
7	777	456
8	885	456
9	972	456
10	979	456