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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze35.0ms (0.8%)

Memory

-1.6MiB live, 14.2MiB 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)

sample707.0ms (16.8%)

Memory

15.8MiB live, 269.2MiB allocated

Samples

469.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 310.0ms

ival-mult: 185.0ms (59.6% of total)

ival-div: 49.0ms (15.8% of total)

ival-add: 34.0ms (11% of total)

ival-sub: 31.0ms (10% of total)

ival-true: 5.0ms (1.6% of total)

exact: 4.0ms (1.3% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain104.0ms (2.5%)

Memory

-15.2MiB live, 63.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
59	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
32	-	-	`(-.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	50	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	145
↳	`(*.f64 y y)`	overflow	55
↳	`(*.f64 x x)`	overflow	71
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	112
↳	`(*.f64 z z)`	overflow	65
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	32	0
↳	`(*.f64 y y)`	overflow	55
↳	`(*.f64 x x)`	overflow	71
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	112
↳	`(*.f64 z z)`	overflow	65
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	9	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	9
↳	`(*.f64 y y)`	underflow	75
↳	`(*.f64 x x)`	underflow	66
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	19
↳	`(*.f64 z z)`	underflow	60

Confusion

	Predicted +	Predicted -
+	84	0
-	0	172

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	172
1	77
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

19.8017578125

Average Time

0.07735061645507813

Samples

35.0ms

512×

valid

Compiler

Compiled 166 to 48 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 12.0ms (61.3% of total)

ival-div: 3.0ms (15.3% of total)

ival-sub: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess169.0ms (4%)

Memory

3.2MiB live, 39.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	147	135
2	489	135
3	2191	135
4	6834	117
0	11	15
0	18	15
1	32	15
2	69	15
3	136	15
4	295	15
5	630	15
6	1505	13
7	3475	13
8	7859	13
0	8033	12

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs x)

(negabs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify126.0ms (3%)

Memory

2.8MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	32	49
2	69	49
3	136	49
4	295	49
5	630	49
6	1505	47
7	3475	47
8	7859	47
0	8033	44

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.6%)

Memory

3.4MiB live, 11.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	7.2382461591134994	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	13.738557166404327	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

17.0ms

256×

valid

Compiler

Compiled 100 to 24 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (63.4% of total)

ival-sub: 1.0ms (10.6% of total)

ival-div: 1.0ms (10.6% of total)

ival-add: 1.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.8%)

Memory

-10.3MiB live, 4.9MiB allocated

Counts

6 → 27

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)))
(*.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)
(* 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
24.0ms	x	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
2.0ms	y	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 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)) (* y 2))
1.0ms	y	@	-inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 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)) (* y 2))

simplify96.0ms (2.3%)

Memory

6.9MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	286
1	198	286
2	569	260
3	2181	256
4	6036	252
0	8172	234

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

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

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

rewrite146.0ms (3.5%)

Memory

0.1MiB live, 56.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	18	42
1	68	42
2	569	42
0	8301	39

Stop Event

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

Counts

6 → 542

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

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

eval50.0ms (1.2%)

Memory: -5.0MiB live, 42.5MiB allocated
Compiler: Compiled 17 881 to 1 674 computations (90.6% saved)

prune11.0ms (0.3%)

Memory

-0.3MiB live, 23.5MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	549	10	559
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	550	10	560

Accuracy

100.0%

Counts

560 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.5%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) y) (.f64 y (.f64 (.f64 z z) #s(literal 1/2 binary64)))) (*.f64 y y))
	75.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
▶	75.3%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
▶	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
	68.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	32.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	61.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	67.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
▶	34.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	30.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 438 to 298 computations (32% saved)

simplify140.0ms (3.3%)

Memory

-0.8MiB live, 39.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 y z)
cost-diff	0	(+.f64 y z)
cost-diff	448	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(-.f64 y (/.f64 (*.f64 z z) y))
cost-diff	0	(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (*.f64 x x) y)
cost-diff	0	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 (-.f64 x z) y)
cost-diff	0	(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
cost-diff	0	(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	222
0	54	220
1	100	216
2	219	216
3	555	216
4	1728	216
5	5307	208
0	8122	208

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

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

localize63.0ms (1.5%)

Memory

7.5MiB live, 29.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0	(*.f64 x x)
accuracy	2.249975228450042	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	13.765900916404327	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 z z)
accuracy	0.0078125	(-.f64 y (/.f64 (*.f64 z z) y))
accuracy	6.984622458728637	(/.f64 (*.f64 z z) y)
accuracy	22.00855605229489	#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	0.00390625	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
accuracy	9.049119953306844	(/.f64 (*.f64 x x) y)
accuracy	40.775385144943	#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	41.81216108146532	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy	0.01171875	(/.f64 (-.f64 x z) y)
accuracy	0.078125	(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)

Samples

45.0ms

256×

valid

Compiler

Compiled 415 to 66 computations (84.1% saved)

Precisions

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

ival-mult: 15.0ms (48.7% of total)

ival-div: 7.0ms (22.7% of total)

ival-add: 5.0ms (16.2% of total)

ival-sub: 4.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.8%)

Memory

-1.3MiB live, 15.1MiB allocated

Counts

19 → 111

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(-.f64 y (/.f64 (*.f64 z z) y))
(/.f64 (*.f64 z z) y)
(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 y z)
(-.f64 y z)
(*.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))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* 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 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 y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 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 (- (/ 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)
(/ (- x z) 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)
z
(+ y z)
(* -1 z)
(- y z)
(+ (* -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))))))
(* 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 (* 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 (* -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 (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* z (+ 1 (/ y z)))
(* z (- (/ y z) 1))
(* -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 (* y z))) (/ 1 y))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* (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
5.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
5.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
4.0ms	x	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
3.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* z z) (+ (* (+ y z) (- y z)) (* x x)))
3.0ms	z	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* z z) (+ (* (+ y z) (- y z)) (* x x)))

simplify108.0ms (2.6%)

Memory

-3.5MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	1290
1	1156	1213
2	3966	1130
0	8285	1077

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 109

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

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

rewrite148.0ms (3.5%)

Memory

8.7MiB live, 60.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	194
0	54	194
1	218	190
2	1941	190
0	8643	190

Stop Event

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

Counts

19 → 649

Calls

Call 1

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

eval99.0ms (2.4%)

Memory: -3.4MiB live, 63.2MiB allocated
Compiler: Compiled 24 494 to 2 810 computations (88.5% saved)

prune22.0ms (0.5%)

Memory

-0.6MiB live, 33.7MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	717	11	728
Fresh	2	3	5
Picked	3	2	5
Done	0	0	0
Total	722	16	738

Accuracy

100.0%

Counts

738 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.3%	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 #s(literal 1/2 binary64) y))
	30.0%	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
	32.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x))))
▶	76.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z y)) (.f64 y y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
	95.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) y)))
▶	68.2%	#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 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
	65.6%	#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)))
	91.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 #s(approx (/ (- x z) y) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z y) x)) x)) (+.f64 z x) y) #s(literal 1/2 binary64)))
✓	32.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	27.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) (-.f64 (pow.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)))) #s(literal 1/2 binary64)))
	36.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
▶	67.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
✓	34.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	30.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	32.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))

Compiler

Compiled 850 to 556 computations (34.6% saved)

simplify144.0ms (3.4%)

Memory

2.1MiB live, 43.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z y)) (.f64 y y)) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z y)) (.f64 y y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
cost-diff	320	(-.f64 (.f64 x y) (.f64 z y))
cost-diff	640	(/.f64 (-.f64 (.f64 x y) (.f64 z y)) (*.f64 y y))
cost-diff	0	(+.f64 z x)
cost-diff	0	(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) x y)
cost-diff	0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
cost-diff	0	#s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y)
cost-diff	0	(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	351
0	70	335
1	145	329
2	380	317
3	1216	317
4	3998	312
5	7749	312
0	8201	312

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

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

localize101.0ms (2.4%)

Memory

-7.5MiB live, 39.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z y)) (.f64 y y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy	0.078125	(fma.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z y)) (*.f64 y y)) (+.f64 z x) y)
accuracy	1.7499938074906176	(-.f64 (.f64 x y) (.f64 z y))
accuracy	21.730855704434575	(/.f64 (-.f64 (.f64 x y) (.f64 z y)) (*.f64 y y))
accuracy	0	(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
accuracy	0.01171875	(/.f64 (-.f64 x z) y)
accuracy	0.12890625	(.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
accuracy	20.896888793812575	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.1015625	(fma.f64 (/.f64 x y) x y)
accuracy	20.276388289013813	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
accuracy	0.125	(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
accuracy	0.19504159990924474	(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
accuracy	22.00855605229489	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))
accuracy	29.718962190617674	#s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy	0.01171875	(/.f64 y (-.f64 x z))
accuracy	0.078125	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y)
accuracy	0.15625	(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))

Samples

60.0ms

256×

valid

Compiler

Compiled 629 to 89 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 21.0ms (49.7% of total)

ival-div: 11.0ms (26.1% of total)

ival-add: 5.0ms (11.8% of total)

ival-sub: 4.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.9%)

Memory

5.3MiB live, 20.2MiB allocated

Counts

23 → 133

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	y	@	0	((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ (- (* x y) (* z y)) (* y y)) (- (* x y) (* z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- (* x y) (* z y)) (* y y)) (+ z x)) y) 1/2) (/ y (- x z)) (/ (- x z) y) (+ (* (/ (- (* x y) (* z y)) (* y y)) (+ z x)) y))
5.0ms	y	@	-inf	((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ (- (* x y) (* z y)) (* y y)) (- (* x y) (* z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- (* x y) (* z y)) (* y y)) (+ z x)) y) 1/2) (/ y (- x z)) (/ (- x z) y) (+ (* (/ (- (* x y) (* z y)) (* y y)) (+ z x)) y))
4.0ms	x	@	-inf	((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ (- (* x y) (* z y)) (* y y)) (- (* x y) (* z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- (* x y) (* z y)) (* y y)) (+ z x)) y) 1/2) (/ y (- x z)) (/ (- x z) y) (+ (* (/ (- (* x y) (* z y)) (* y y)) (+ z x)) y))
4.0ms	y	@	inf	((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ (- (* x y) (* z y)) (* y y)) (- (* x y) (* z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- (* x y) (* z y)) (* y y)) (+ z x)) y) 1/2) (/ y (- x z)) (/ (- x z) y) (+ (* (/ (- (* x y) (* z y)) (* y y)) (+ z x)) y))
3.0ms	z	@	0	((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ (- (* x y) (* z y)) (* y y)) (- (* x y) (* z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- (* x y) (* z y)) (* y y)) (+ z x)) y) 1/2) (/ y (- x z)) (/ (- x z) y) (+ (* (/ (- (* x y) (* z y)) (* y y)) (+ z x)) y))

simplify115.0ms (2.7%)

Memory

0.7MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	463	1788
1	1465	1642
2	4745	1552
0	8414	1467

Stop Event

1×	iter limit
1×	node limit

Counts

133 → 130

Calls

Call 1

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

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

rewrite147.0ms (3.5%)

Memory

1.6MiB live, 57.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	308
0	70	274
1	289	274
2	2626	274
0	8516	269

Stop Event

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

Counts

23 → 910

Calls

Call 1

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

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

eval85.0ms (2%)

Memory: 3.4MiB live, 60.6MiB allocated
Compiler: Compiled 24 304 to 3 017 computations (87.6% saved)

prune21.0ms (0.5%)

Memory

-3.1MiB live, 30.5MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	640	4	644
Fresh	3	6	9
Picked	2	3	5
Done	0	2	2
Total	645	15	660

Accuracy

100.0%

Counts

660 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.3%	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 #s(literal 1/2 binary64) y))
▶	30.0%	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
▶	67.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z))))
▶	32.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x))))
	56.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 #s(approx (- ( x y) (* z y)) (.f64 x y)) (.f64 y y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
✓	68.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	76.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (.f64 (-.f64 x z) y) (/.f64 (+.f64 z x) (*.f64 y y)) y) #s(literal 1/2 binary64)))
	65.6%	#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)))
✓	32.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	27.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y)) (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)))) #s(literal 1/2 binary64)))
	36.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓	67.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
✓	34.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	30.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
✓	32.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))

Compiler

Compiled 688 to 449 computations (34.7% saved)

simplify107.0ms (2.5%)

Memory

4.1MiB live, 32.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z x)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (+.f64 z x))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z))))
cost-diff	384	(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 y (*.f64 x x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x))))
cost-diff	0	(neg.f64 z)
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 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(*.f64 z z)
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
cost-diff	0	(*.f64 (-.f64 x z) y)
cost-diff	0	(.f64 (fma.f64 (.f64 (-.f64 x z) y) (/.f64 (+.f64 z x) (*.f64 y y)) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (.f64 (-.f64 x z) y) (/.f64 (+.f64 z x) (*.f64 y y)) y) #s(literal 1/2 binary64)))
cost-diff	1024	(fma.f64 (.f64 (-.f64 x z) y) (/.f64 (+.f64 z x) (.f64 y y)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	275
0	63	275
1	118	275
2	247	275
3	683	272
4	2256	266
5	4284	258
0	8054	249

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

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

localize84.0ms (2%)

Memory

-3.1MiB live, 34.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1/2 binary64) (+.f64 z x))
accuracy	0.01171875	(/.f64 y (-.f64 x z))
accuracy	0.12109375	(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z)))
accuracy	20.896888793812575	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z))))
accuracy	0	(*.f64 x x)
accuracy	0.14947047890713516	(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))
accuracy	9.014413230235927	(/.f64 y (*.f64 x x))
accuracy	40.775385144943	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x))))
accuracy	0	(*.f64 (neg.f64 z) z)
accuracy	0	(neg.f64 z)
accuracy	13.765900916404327	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	41.70951049136773	#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
accuracy	0	(*.f64 z z)
accuracy	0	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	6.984622458728637	(/.f64 (*.f64 z z) y)
accuracy	43.229989616234846	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
accuracy	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (.f64 (-.f64 x z) y) (/.f64 (+.f64 z x) (*.f64 y y)) y) #s(literal 1/2 binary64)))
accuracy	0.0078125	(*.f64 (-.f64 x z) y)
accuracy	7.401160313499144	(/.f64 (+.f64 z x) (*.f64 y y))
accuracy	10.332392213428552	(fma.f64 (.f64 (-.f64 x z) y) (/.f64 (+.f64 z x) (.f64 y y)) y)

Samples

52.0ms

256×

valid

Compiler

Compiled 499 to 79 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 16.0ms (43.7% of total)

ival-div: 12.0ms (32.8% of total)

ival-add: 5.0ms (13.6% of total)

ival-sub: 3.0ms (8.2% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.6%)

Memory

1.4MiB live, 16.7MiB allocated

Counts

22 → 142

Calls

Call 1

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

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

Calls

9 calls:

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

simplify115.0ms (2.7%)

Memory

-7.8MiB live, 33.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	502	1853
1	1630	1710
2	5370	1636
0	8162	1550

Stop Event

1×	iter limit
1×	node limit

Counts

142 → 139

Calls

Call 1

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

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

rewrite134.0ms (3.2%)

Memory

8.6MiB live, 53.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	243
0	63	243
1	248	243
2	1902	243
0	8195	237

Stop Event

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

Counts

22 → 488

Calls

Call 1

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

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

eval82.0ms (2%)

Memory: 1.0MiB live, 56.5MiB allocated
Compiler: Compiled 22 482 to 2 517 computations (88.8% saved)

prune22.0ms (0.5%)

Memory

-2.6MiB live, 31.0MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	617	3	620
Fresh	1	4	5
Picked	2	3	5
Done	0	5	5
Total	620	15	635

Accuracy

100.0%

Counts

635 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.3%	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 #s(literal 1/2 binary64) y))
✓	30.0%	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
	36.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) #s(approx (/ y (- x z)) (/.f64 y x))))
	36.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x)))
✓	32.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x))))
	56.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 #s(approx (- ( x y) (* z y)) (.f64 x y)) (.f64 y y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
✓	68.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	65.6%	#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)))
✓	32.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	36.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	36.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
✓	67.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
✓	34.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	30.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
✓	32.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))

Compiler

Compiled 1 163 to 414 computations (64.4% saved)

regimes46.0ms (1.1%)

Memory

-0.8MiB live, 22.9MiB allocated

Counts

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

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

Calls

6 calls:

8.0ms	x
8.0ms	y
8.0ms	z
7.0ms	(*.f64 z z)
7.0ms	(*.f64 x x)

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)

regimes24.0ms (0.6%)

Memory

-1.1MiB live, 14.7MiB allocated

Counts

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

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)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
91.2%	3	`x`
88.7%	3	`y`
88.1%	2	`z`
97.4%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
89.5%	2	`(*.f64 x x)`
88.1%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes4.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

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

#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)))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
94.5%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes3.0ms (0.1%)

Memory

-5.5MiB live, 2.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
91.8%	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)

regimes15.0ms (0.4%)

Memory

-0.3MiB live, 11.3MiB allocated

Counts

6 → 4

Calls

Call 1

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
58.5%	4	`y`
56.9%	3	`z`
56.9%	3	`(*.f64 z z)`
61.0%	3	`(*.f64 x x)`
64.4%	5	`x`
74.9%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
62.9%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes7.0ms (0.2%)

Memory

0.4MiB live, 8.3MiB 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:

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

Results

Accuracy	Segments	Branch
34.7%	1	`z`
34.7%	1	`(*.f64 z z)`
34.7%	1	`y`
34.7%	1	`(*.f64 x x)`
34.7%	1	`x`
34.7%	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)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	5.084637976203869e-120

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	5.084637976203869e-120

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.021506086114545e-55	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.623834710741807e+153	5.411061294102309e+154
0.0ms	-3.021506086114545e-55	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.021506086114545e-55	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify24.0ms (0.6%)

Memory

-4.5MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	627
1	90	627
2	97	627
3	100	627
4	101	627

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (neg.f64 z) (/.f64 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 +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (neg.f64 z) (/.f64 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 +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 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 -5521397077432451/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -5521397077432451/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -5521397077432451/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) 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))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z y) 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 +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (neg.f64 z) (/.f64 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 +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) 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))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 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 -5521397077432451/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal -5521397077432451/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -5521397077432451/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 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 -5521397077432451/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 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 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -5521397077432451/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 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 -5521397077432451/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 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 +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (- y (/ (* z z) y)) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

soundness687.0ms (16.3%)

Memory

-0.3MiB live, 7.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	286
1	198	286
2	569	260
3	2181	256
4	6036	252
0	8172	234
0	351	1290
1	1156	1213
2	3966	1130
0	8285	1077
0	42	243
0	63	243
1	248	243
2	1902	243
0	8195	237
0	34	194
0	54	194
1	218	190
2	1941	190
0	8643	190

Stop Event

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

Compiler

Compiled 795 to 226 computations (71.6% saved)

preprocess64.0ms (1.5%)

Memory

3.6MiB live, 41.8MiB allocated

Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 650 to 402 computations (75.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze35.0ms (0.8%)

sample707.0ms (16.8%)

explain104.0ms (2.5%)

preprocess169.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify126.0ms (3%)

localize23.0ms (0.6%)

series32.0ms (0.8%)

simplify96.0ms (2.3%)

rewrite146.0ms (3.5%)

eval50.0ms (1.2%)

prune11.0ms (0.3%)

simplify140.0ms (3.3%)

localize63.0ms (1.5%)

series32.0ms (0.8%)

simplify108.0ms (2.6%)

rewrite148.0ms (3.5%)

eval99.0ms (2.4%)

prune22.0ms (0.5%)

simplify144.0ms (3.4%)

localize101.0ms (2.4%)

series39.0ms (0.9%)

simplify115.0ms (2.7%)

rewrite147.0ms (3.5%)

eval85.0ms (2%)

prune21.0ms (0.5%)

simplify107.0ms (2.5%)

localize84.0ms (2%)

series26.0ms (0.6%)

simplify115.0ms (2.7%)

rewrite134.0ms (3.2%)

eval82.0ms (2%)

prune22.0ms (0.5%)

regimes46.0ms (1.1%)

regimes24.0ms (0.6%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes15.0ms (0.4%)

regimes2.0ms (0%)

regimes7.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify24.0ms (0.6%)

soundness687.0ms (16.3%)

preprocess64.0ms (1.5%)

end0.0ms (0%)

Profiling