Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample854.0ms (10.4%)

Memory

8.4MiB live, 1 047.4MiB allocated

Samples

554.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-mult: 125.0ms (53.2% of total)

ival-add: 102.0ms (43.4% of total)

ival-true: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain116.0ms (1.4%)

Memory

-3.6MiB live, 196.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
3	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
3	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	6	0
↳	`(*.f64 x y)`	overflow	39
↳	`(*.f64 z z)`	overflow	56
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	3	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	84
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	84
↳	`(*.f64 x y)`	overflow	39
↳	`(*.f64 z z)`	overflow	112
↳	`(*.f64 z z)`	overflow	56
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	3	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	84
↳	`(*.f64 x y)`	overflow	39
↳	`(*.f64 z z)`	overflow	56
↳	`(*.f64 z z)`	overflow	56

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	3
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

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

ival-mult: 7.0ms (52.7% of total)

ival-add: 6.0ms (45.1% of total)

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

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

preprocess84.0ms (1%)

Memory

-0.7MiB live, 77.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	129	120
2	373	84
3	946	82
4	2093	81
5	3017	81
6	3501	81
7	3666	81
8	3786	81
9	3786	81
0	8	15
0	13	15
1	28	13
2	90	9
3	270	9
4	643	9
5	932	9
6	1184	9
7	1292	9
8	1372	9
0	1372	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify23.0ms (0.3%)

Memory

23.8MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	1	(+.f64 (.f64 x y) (.f64 z z))
cost-diff	2	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
cost-diff	4	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	42
0	13	42
1	28	38
2	90	34
3	270	34
4	643	34
5	932	34
6	1184	34
7	1292	34
8	1372	34
0	1372	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 y x))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 z z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z z)
z

localize27.0ms (0.3%)

Memory

-27.9MiB live, 25.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.7578063074906174	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.8359313074906174	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	1.3515563074906176	(+.f64 (.f64 x y) (.f64 z z))

Samples

22.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (46.7% of total)

ival-mult: 3.0ms (46.7% of total)

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

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

series7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 24

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)

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

Calls

9 calls:

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

simplify89.0ms (1.1%)

Memory

8.6MiB live, 81.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	281	180
2	997	180
3	4202	180
0	8237	161

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite260.0ms (3.2%)

Memory

18.7MiB live, 199.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	63	32
2	637	24
0	9212	20

Stop Event

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

Counts

4 → 244

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)

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

eval41.0ms (0.5%)

Memory: -9.8MiB live, 85.4MiB allocated
Compiler: Compiled 8 183 to 794 computations (90.3% saved)

prune9.0ms (0.1%)

Memory

-18.6MiB live, 19.8MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	245	6	251
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	246	6	252

Accuracy

100.0%

Counts

252 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.7%	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
	28.0%	(+.f64 (+.f64 (fma.f64 z z (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 z z))
▶	40.6%	(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 (neg.f64 z) z))) (.f64 z z)) (.f64 z z))
▶	28.0%	(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 (neg.f64 y) x))))) (.f64 z z)) (*.f64 z z))
▶	98.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	47.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 328 to 174 computations (47% saved)

simplify256.0ms (3.1%)

Memory

25.2MiB live, 142.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	1	(-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64)))
cost-diff	1	(+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 (neg.f64 y) x))))) (.f64 z z))
cost-diff	2	(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 (neg.f64 y) x))))) (.f64 z z)) (*.f64 z z))
cost-diff	3	(+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 (neg.f64 y) x)))
cost-diff	0	(-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 (neg.f64 z) z)))
cost-diff	1	(+.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 (neg.f64 z) z))) (*.f64 z z))
cost-diff	2	(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 (neg.f64 z) z))) (.f64 z z)) (.f64 z z))
cost-diff	0	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
cost-diff	1	(fma.f64 y x #s(literal 0 binary64))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	377
0	72	373
1	144	360
2	455	338
3	1935	338
4	5449	338
5	7188	338
6	7679	338
7	7795	338
8	7860	338
9	7881	338
0	8203	330

Stop Event

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

Calls

Call 1

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

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

localize157.0ms (1.9%)

Memory

11.0MiB live, 164.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	3.699198108302058	(+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 (neg.f64 y) x)))
accuracy	4.789062500000001	(+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 (neg.f64 y) x))))
accuracy	11.679725904449283	(.f64 (.f64 z z) (*.f64 (neg.f64 y) x))
accuracy	42.132727438803066	(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (*.f64 (neg.f64 y) x)))))
accuracy	0.7578063074906174	(+.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 (neg.f64 z) z))) (*.f64 z z))
accuracy	0.8359313074906174	(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 (neg.f64 z) z))) (.f64 z z)) (.f64 z z))
accuracy	5.003873223283293	(-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))
accuracy	34.84090668157109	(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 (neg.f64 z) z)))
accuracy	0.0	(fma.f64 y x #s(literal 0 binary64))
accuracy	0.7499917428166807	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
accuracy	0.0	(*.f64 z z)
accuracy	0.203125	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	33.352093066938906	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
accuracy	0.8124917428166806	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))

Samples

109.0ms

256×

valid

Compiler

Compiled 372 to 42 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-add: 41.0ms (53% of total)

ival-mult: 13.0ms (16.8% of total)

ival-pow: 9.0ms (11.6% of total)

ival-div: 7.0ms (9.1% of total)

ival-pow2: 3.0ms (3.9% of total)

ival-sub: 2.0ms (2.6% of total)

ival-neg: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

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

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

series116.0ms (1.4%)

Memory

-23.0MiB live, 96.9MiB allocated

Counts

20 → 137

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
60.0ms	y	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (- (pow (* y x) 2) (pow z 4)) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))) (+ (+ (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* z z)) (* z z)) (+ (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* z z)) (- (pow z 6) (pow (* (neg y) x) 3)) (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* (* z z) (* (neg y) x)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x)))))
12.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (- (pow (* y x) 2) (pow z 4)) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))) (+ (+ (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* z z)) (* z z)) (+ (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* z z)) (- (pow z 6) (pow (* (neg y) x) 3)) (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* (* z z) (* (neg y) x)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x)))))
10.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (- (pow (* y x) 2) (pow z 4)) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))) (+ (+ (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* z z)) (* z z)) (+ (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* z z)) (- (pow z 6) (pow (* (neg y) x) 3)) (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* (* z z) (* (neg y) x)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x)))))
6.0ms	y	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (- (pow (* y x) 2) (pow z 4)) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))) (+ (+ (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* z z)) (* z z)) (+ (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* z z)) (- (pow z 6) (pow (* (neg y) x) 3)) (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* (* z z) (* (neg y) x)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x)))))
6.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (- (pow (* y x) 2) (pow z 4)) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))) (+ (+ (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* z z)) (* z z)) (+ (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* z z)) (- (pow z 6) (pow (* (neg y) x) 3)) (/ (- (pow z 6) (pow (* (neg y) x) 3)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x))))) (* (* z z) (* (neg y) x)) (+ (pow z 4) (+ (pow (* y x) 2) (* (* z z) (* (neg y) x)))))

simplify163.0ms (2%)

Memory

20.3MiB live, 178.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	561	2953
1	2026	1935
0	9184	1799

Stop Event

1×	iter limit
1×	node limit

Counts

137 → 137

Calls

Call 1

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

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

rewrite396.0ms (4.8%)

Memory

18.5MiB live, 284.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	299
0	72	193
1	361	176
2	3031	172
0	9909	165

Stop Event

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

Counts

20 → 2 434

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x)))
(/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 y x) (.f64 (*.f64 z z) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) y) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64)))))))
(/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) y) x))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (neg.f64 (sqrt.f64 (.f64 y x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (neg.f64 (sqrt.f64 (.f64 y x))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (fabs.f64 (sqrt.f64 (.f64 y x))) (fabs.f64 (sqrt.f64 (.f64 y x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (fabs.f64 (sqrt.f64 (.f64 y x))) (fabs.f64 (sqrt.f64 (.f64 y x))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 z))) z (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 z))) z (.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 z))) z (.f64 y x))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) z)) z (.f64 (neg.f64 (neg.f64 y)) x))
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(fma.f64 (.f64 (neg.f64 z) z) (fma.f64 z z (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 z) (.f64 z (.f64 (neg.f64 z) z)) (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))))
(fma.f64 (neg.f64 z) (.f64 (neg.f64 z) (.f64 y x)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 z) (.f64 (.f64 y x) z) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 z) (pow.f64 z #s(literal 3 binary64)) (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))))
(fma.f64 (.f64 z z) (.f64 z z) (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))))
(fma.f64 (.f64 z z) (.f64 y x) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 (.f64 z z) (fma.f64 z z (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fma.f64 (.f64 y x) (.f64 (neg.f64 z) z) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 (.f64 y x) (.f64 z z) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 (.f64 y x) (.f64 y x) (fma.f64 (.f64 (.f64 z z) y) x (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 y x) (.f64 y x) (.f64 (.f64 z z) (fma.f64 z z (*.f64 y x))))
(fma.f64 (.f64 y x) (fma.f64 z z (.f64 y x)) (pow.f64 z #s(literal 4 binary64)))
(fma.f64 (fma.f64 z z (.f64 y x)) (.f64 z z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 z z (.f64 y x)) (fma.f64 z z (.f64 y x)) (.f64 (.f64 (*.f64 z z) x) y))
(fma.f64 z (fabs.f64 (.f64 z (.f64 (neg.f64 z) z))) (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))))
(fma.f64 z (fabs.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z))) (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))))
(fma.f64 z (fabs.f64 (.f64 (neg.f64 z) (.f64 y x))) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 z (fabs.f64 (.f64 (.f64 y x) z)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 z (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))))
(fma.f64 z (.f64 (neg.f64 z) (.f64 y x)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 z (.f64 (.f64 y x) z) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 z (pow.f64 z #s(literal 3 binary64)) (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))))
(fma.f64 y (pow.f64 (.f64 x (.f64 y x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 z z) y) x (pow.f64 z #s(literal 4 binary64))))
(fma.f64 y (pow.f64 (.f64 x (.f64 y x)) #s(literal 1 binary64)) (.f64 (.f64 z z) (fma.f64 z z (*.f64 y x))))
(fma.f64 y (.f64 x (.f64 y x)) (fma.f64 (.f64 (.f64 z z) y) x (pow.f64 z #s(literal 4 binary64))))
(fma.f64 y (.f64 x (.f64 y x)) (.f64 (.f64 z z) (fma.f64 z z (*.f64 y x))))
(fma.f64 y (.f64 x (.f64 z z)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 y (.f64 x (.f64 (neg.f64 z) z)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 x (pow.f64 (.f64 (neg.f64 y) (.f64 y x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 z z) y) x (pow.f64 z #s(literal 4 binary64))))
(fma.f64 x (pow.f64 (.f64 (neg.f64 y) (.f64 y x)) #s(literal 1 binary64)) (.f64 (.f64 z z) (fma.f64 z z (*.f64 y x))))
(fma.f64 x (pow.f64 (.f64 y (.f64 y x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 z z) y) x (pow.f64 z #s(literal 4 binary64))))
(fma.f64 x (pow.f64 (.f64 y (.f64 y x)) #s(literal 1 binary64)) (.f64 (.f64 z z) (fma.f64 z z (*.f64 y x))))
(fma.f64 x (.f64 (neg.f64 y) (.f64 y x)) (fma.f64 (.f64 (.f64 z z) y) x (pow.f64 z #s(literal 4 binary64))))
(fma.f64 x (.f64 (neg.f64 y) (.f64 y x)) (.f64 (.f64 z z) (fma.f64 z z (*.f64 y x))))
(fma.f64 x (.f64 y (.f64 y x)) (fma.f64 (.f64 (.f64 z z) y) x (pow.f64 z #s(literal 4 binary64))))
(fma.f64 x (.f64 y (.f64 y x)) (.f64 (.f64 z z) (fma.f64 z z (*.f64 y x))))
(fma.f64 x (.f64 y (.f64 z z)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 x (.f64 y (.f64 (neg.f64 z) z)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(fma.f64 x (.f64 (neg.f64 y) (.f64 z z)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (fma.f64 (.f64 y x) (fma.f64 z z (.f64 y x)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 y x) (fma.f64 z z (.f64 y x))) #s(literal 2 binary64)) (fma.f64 (.f64 y x) (fma.f64 z z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 y) (.f64 z z))) x))
(-.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z z) x) y))
(-.f64 (.f64 (.f64 z z) (fma.f64 z z (.f64 y x))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))
(-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))))
(-.f64 (.f64 (.f64 y x) (fma.f64 z z (.f64 y x))) (.f64 (.f64 (neg.f64 z) z) (.f64 z z)))
(-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 z z) x) y) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 12 binary64)) (fma.f64 (.f64 (.f64 y x) (fma.f64 z z (.f64 y x))) (-.f64 (.f64 (.f64 y x) (fma.f64 z z (.f64 y x))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 y x) (fma.f64 z z (.f64 y x))) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) (fma.f64 z z (.f64 y x))) (-.f64 (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))
(+.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z z) x) y))
(+.f64 (.f64 (.f64 z z) (fma.f64 z z (.f64 y x))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))
(+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))))
(+.f64 (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))) (pow.f64 z #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 (.f64 z z) x) y) (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (*.f64 z z) y) x (pow.f64 z #s(literal 4 binary64))))
(+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 z z (.f64 y x))))

eval568.0ms (6.9%)

Memory: -58.4MiB live, 364.5MiB allocated
Compiler: Compiled 71 239 to 7 261 computations (89.8% saved)

prune126.0ms (1.5%)

Memory

3.6MiB live, 122.9MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 913	8	1 921
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 917	10	1 927

Accuracy

100.0%

Counts

1 927 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
▶	78.7%	(fma.f64 z z (*.f64 y x))
▶	93.2%	#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
	93.6%	#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
✓	98.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	39.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x))))
	47.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	47.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
	37.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
▶	28.7%	#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Compiler

Compiled 409 to 249 computations (39.1% saved)

simplify228.0ms (2.8%)

Memory

14.2MiB live, 186.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 z #s(literal 4 binary64))
cost-diff	0	(fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x)))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x))))
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
cost-diff	0	#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
cost-diff	2	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z (*.f64 y x))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z (*.f64 y x))
cost-diff	0	(+.f64 z z)
cost-diff	3	(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	215
0	62	209
1	125	209
2	349	197
3	1041	197
4	3170	195
5	6255	195
0	8346	194

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
z
(+.f64 z z)
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
(*.f64 z z)
z
(fma.f64 z z (*.f64 y x))
z
(*.f64 y x)
y
x
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal 3 binary64)
x
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x))))
(/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x)))
(fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 9 binary64)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(*.f64 z z)
#s(literal 3 binary64)

Outputs
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
z
(+.f64 z z)
(*.f64 #s(literal 2 binary64) z)
(fma.f64 z z (*.f64 y x))
(fma.f64 z z (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
(*.f64 z z)
z
(fma.f64 z z (*.f64 y x))
(fma.f64 z z (*.f64 x y))
z
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y)))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal 3 binary64)
x
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 x y))))
(/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 x y)))
(fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 9 binary64)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 2 binary64)
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(*.f64 z z)
#s(literal 3 binary64)

localize134.0ms (1.6%)

Memory

3.6MiB live, 108.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.23113251953688402	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	0.6391829444289885	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x))))
accuracy	1.4296813074906174	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
accuracy	34.78528795272188	(/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x)))
accuracy	0.0	#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
accuracy	0.0859375	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
accuracy	3.5729463731086053	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
accuracy	5.894552227467028	(/.f64 (*.f64 z z) y)
accuracy	0.0	(*.f64 y x)
accuracy	0.7499917428166807	(fma.f64 z z (*.f64 y x))
accuracy	0.0	(*.f64 z z)
accuracy	33.38438428128547	#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
accuracy	0.0	(+.f64 z z)
accuracy	0.0	(*.f64 y x)
accuracy	0.03515625	(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
accuracy	0.7499917428166807	(fma.f64 z z (*.f64 y x))

Samples

95.0ms

256×

valid

Compiler

Compiled 192 to 40 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 51.0ms (65.2% of total)

ival-add: 14.0ms (17.9% of total)

ival-div: 5.0ms (6.4% of total)

ival-pow: 3.0ms (3.8% of total)

ival-pow2: 3.0ms (3.8% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series39.0ms (0.5%)

Memory

-11.8MiB live, 73.6MiB allocated

Counts

16 → 73

Calls

Call 1

Inputs
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
(+.f64 z z)
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
(*.f64 z z)
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
(/.f64 (*.f64 z z) y)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x))))
(/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x)))
(fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 z #s(literal 4 binary64))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(- (* 2 (pow z 2)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x y)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x (+ y (* x (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2))))))) (* -1 (pow z 2)))
(* 3 (/ (pow z 2) y))
(+ x (* 3 (/ (pow z 2) y)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(+ (* 3 (pow z 2)) (* x (- (* x (- (* 1/3 (/ (pow y 2) (pow z 2))) (* -1/3 (/ (pow y 2) (pow z 2))))) y)))
(+ (* 3 (pow z 2)) (* x (- (* x (- (+ (* -1/3 (/ (* x (* y (- (* 1/3 (/ (pow y 2) (pow z 2))) (* -1/3 (/ (pow y 2) (pow z 2)))))) (pow z 2))) (* 1/3 (/ (pow y 2) (pow z 2)))) (* -1/3 (/ (pow y 2) (pow z 2))))) y)))
(* 9 (pow z 4))
(+ (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(* (pow x 2) (pow y 2))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (- (+ y (* 2 (/ (pow z 2) x))) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (/ (pow z 4) y)) (pow x 2))) (* 2 (/ (pow z 2) x)))) (* -1 (/ (pow z 2) x))))
x
(* x (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(* x (+ y (* -3 (/ (pow z 2) x))))
(* x (- (+ y (* 9 (/ (pow z 4) (* (pow x 2) y)))) (+ (* -9 (/ (pow z 4) (* (pow x 2) y))) (* 3 (/ (pow z 2) x)))))
(* x (- (+ y (+ (* -3 (/ (* (pow z 2) (- (* 9 (/ (pow z 4) y)) (* -9 (/ (pow z 4) y)))) (* (pow x 3) y))) (* 9 (/ (pow z 4) (* (pow x 2) y))))) (+ (* -9 (/ (pow z 4) (* (pow x 2) y))) (* 3 (/ (pow z 2) x)))))
(* (pow x 2) (+ (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x)))))
(* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1)))
(* -1 (* x (+ (* -1 y) (* 3 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -9 (/ (pow z 4) y)) (* 9 (/ (pow z 4) y))) x)) (* 3 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -9 (/ (pow z 4) y)) (* -3 (/ (* (pow z 2) (- (* -9 (/ (pow z 4) y)) (* 9 (/ (pow z 4) y)))) (* x y)))) (* 9 (/ (pow z 4) y))) x)) (* 3 (pow z 2))) x)))))
(- (+ (* 2 (pow z 2)) (* y (+ x (* y (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))) (* -1 (pow z 2)))
(/ (+ (* 3 (pow z 2)) (* x y)) y)
(/ (pow z 2) y)
(+ (* 3 (pow z 2)) (* y (- (* y (- (* 1/3 (/ (pow x 2) (pow z 2))) (* -1/3 (/ (pow x 2) (pow z 2))))) x)))
(+ (* 3 (pow z 2)) (* y (- (* y (- (+ (* -1/3 (/ (* x (* y (- (* 1/3 (/ (pow x 2) (pow z 2))) (* -1/3 (/ (pow x 2) (pow z 2)))))) (pow z 2))) (* 1/3 (/ (pow x 2) (pow z 2)))) (* -1/3 (/ (pow x 2) (pow z 2))))) x)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (- (+ x (* 2 (/ (pow z 2) y))) (* -1 (/ (pow z 2) y))))
(* y (- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x)) (pow y 2))) (* 2 (/ (pow z 2) y)))) (* -1 (/ (pow z 2) y))))
(* y (+ x (* -3 (/ (pow z 2) y))))
(* y (- (+ x (* 9 (/ (pow z 4) (* x (pow y 2))))) (+ (* -9 (/ (pow z 4) (* x (pow y 2)))) (* 3 (/ (pow z 2) y)))))
(* y (- (+ x (+ (* -3 (/ (* (pow z 2) (- (* 9 (/ (pow z 4) x)) (* -9 (/ (pow z 4) x)))) (* x (pow y 3)))) (* 9 (/ (pow z 4) (* x (pow y 2)))))) (+ (* -9 (/ (pow z 4) (* x (pow y 2)))) (* 3 (/ (pow z 2) y)))))
(* (pow y 2) (+ (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* 3 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -9 (/ (pow z 4) x)) (* 9 (/ (pow z 4) x))) y)) (* 3 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -9 (/ (pow z 4) x)) (* -3 (/ (* (pow z 2) (- (* -9 (/ (pow z 4) x)) (* 9 (/ (pow z 4) x)))) (* x y)))) (* 9 (/ (pow z 4) x))) y)) (* 3 (pow z 2))) y)))))
(* 2 z)
(+ (* -3 (pow z 2)) (* x y))
(+ (* x y) (* (pow z 2) (- (* 18 (/ (pow z 2) (* x y))) 3)))
(+ (* x y) (* (pow z 2) (- (* (pow z 2) (+ (* -54 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 18 (/ 1 (* x y))))) 3)))
(pow z 4)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (- (+ 3 (* 1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (+ (* -1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))))
(* (pow z 2) (- (+ 3 (+ (* -1/3 (/ (* x (* y (- (* 1/3 (* (pow x 2) (pow y 2))) (* -1/3 (* (pow x 2) (pow y 2)))))) (pow z 6))) (* 1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4))))) (+ (* -1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))))
(* (pow z 4) (+ 9 (/ (* (pow x 2) (pow y 2)) (pow z 4))))

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	x	@	inf	((+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* y x) (+ (* z z) (+ (* y x) 0)) (* z z) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (+ (* (/ (* z z) y) 3) x) (/ (* z z) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (+ (* 9 (pow z 4)) (pow (* y x) 2)) (+ (* (* z z) 3) (* y x))) (+ (* 9 (pow z 4)) (pow (* y x) 2)) (pow z 4) (+ (* (* z z) 3) (* y x)) (pow (* y x) 2))
6.0ms	z	@	inf	((+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* y x) (+ (* z z) (+ (* y x) 0)) (* z z) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (+ (* (/ (* z z) y) 3) x) (/ (* z z) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (+ (* 9 (pow z 4)) (pow (* y x) 2)) (+ (* (* z z) 3) (* y x))) (+ (* 9 (pow z 4)) (pow (* y x) 2)) (pow z 4) (+ (* (* z z) 3) (* y x)) (pow (* y x) 2))
3.0ms	y	@	-inf	((+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* y x) (+ (* z z) (+ (* y x) 0)) (* z z) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (+ (* (/ (* z z) y) 3) x) (/ (* z z) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (+ (* 9 (pow z 4)) (pow (* y x) 2)) (+ (* (* z z) 3) (* y x))) (+ (* 9 (pow z 4)) (pow (* y x) 2)) (pow z 4) (+ (* (* z z) 3) (* y x)) (pow (* y x) 2))
3.0ms	z	@	-inf	((+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* y x) (+ (* z z) (+ (* y x) 0)) (* z z) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (+ (* (/ (* z z) y) 3) x) (/ (* z z) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (+ (* 9 (pow z 4)) (pow (* y x) 2)) (+ (* (* z z) 3) (* y x))) (+ (* 9 (pow z 4)) (pow (* y x) 2)) (pow z 4) (+ (* (* z z) 3) (* y x)) (pow (* y x) 2))
3.0ms	x	@	0	((+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* y x) (+ (* z z) (+ (* y x) 0)) (* z z) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (+ (* (/ (* z z) y) 3) x) (/ (* z z) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (+ (* 9 (pow z 4)) (pow (* y x) 2)) (+ (* (* z z) 3) (* y x))) (+ (* 9 (pow z 4)) (pow (* y x) 2)) (pow z 4) (+ (* (* z z) 3) (* y x)) (pow (* y x) 2))

simplify191.0ms (2.3%)

Memory

10.2MiB live, 198.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	1337
1	1280	1221
2	5112	1071
0	8258	1011

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 72

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(- (* 2 (pow z 2)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x y)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x (+ y (* x (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2))))))) (* -1 (pow z 2)))
(* 3 (/ (pow z 2) y))
(+ x (* 3 (/ (pow z 2) y)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(+ (* 3 (pow z 2)) (* x (- (* x (- (* 1/3 (/ (pow y 2) (pow z 2))) (* -1/3 (/ (pow y 2) (pow z 2))))) y)))
(+ (* 3 (pow z 2)) (* x (- (* x (- (+ (* -1/3 (/ (* x (* y (- (* 1/3 (/ (pow y 2) (pow z 2))) (* -1/3 (/ (pow y 2) (pow z 2)))))) (pow z 2))) (* 1/3 (/ (pow y 2) (pow z 2)))) (* -1/3 (/ (pow y 2) (pow z 2))))) y)))
(* 9 (pow z 4))
(+ (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(* (pow x 2) (pow y 2))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (- (+ y (* 2 (/ (pow z 2) x))) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (/ (pow z 4) y)) (pow x 2))) (* 2 (/ (pow z 2) x)))) (* -1 (/ (pow z 2) x))))
x
(* x (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(* x (+ y (* -3 (/ (pow z 2) x))))
(* x (- (+ y (* 9 (/ (pow z 4) (* (pow x 2) y)))) (+ (* -9 (/ (pow z 4) (* (pow x 2) y))) (* 3 (/ (pow z 2) x)))))
(* x (- (+ y (+ (* -3 (/ (* (pow z 2) (- (* 9 (/ (pow z 4) y)) (* -9 (/ (pow z 4) y)))) (* (pow x 3) y))) (* 9 (/ (pow z 4) (* (pow x 2) y))))) (+ (* -9 (/ (pow z 4) (* (pow x 2) y))) (* 3 (/ (pow z 2) x)))))
(* (pow x 2) (+ (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x)))))
(* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1)))
(* -1 (* x (+ (* -1 y) (* 3 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -9 (/ (pow z 4) y)) (* 9 (/ (pow z 4) y))) x)) (* 3 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -9 (/ (pow z 4) y)) (* -3 (/ (* (pow z 2) (- (* -9 (/ (pow z 4) y)) (* 9 (/ (pow z 4) y)))) (* x y)))) (* 9 (/ (pow z 4) y))) x)) (* 3 (pow z 2))) x)))))
(- (+ (* 2 (pow z 2)) (* y (+ x (* y (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))) (* -1 (pow z 2)))
(/ (+ (* 3 (pow z 2)) (* x y)) y)
(/ (pow z 2) y)
(+ (* 3 (pow z 2)) (* y (- (* y (- (* 1/3 (/ (pow x 2) (pow z 2))) (* -1/3 (/ (pow x 2) (pow z 2))))) x)))
(+ (* 3 (pow z 2)) (* y (- (* y (- (+ (* -1/3 (/ (* x (* y (- (* 1/3 (/ (pow x 2) (pow z 2))) (* -1/3 (/ (pow x 2) (pow z 2)))))) (pow z 2))) (* 1/3 (/ (pow x 2) (pow z 2)))) (* -1/3 (/ (pow x 2) (pow z 2))))) x)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (- (+ x (* 2 (/ (pow z 2) y))) (* -1 (/ (pow z 2) y))))
(* y (- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x)) (pow y 2))) (* 2 (/ (pow z 2) y)))) (* -1 (/ (pow z 2) y))))
(* y (+ x (* -3 (/ (pow z 2) y))))
(* y (- (+ x (* 9 (/ (pow z 4) (* x (pow y 2))))) (+ (* -9 (/ (pow z 4) (* x (pow y 2)))) (* 3 (/ (pow z 2) y)))))
(* y (- (+ x (+ (* -3 (/ (* (pow z 2) (- (* 9 (/ (pow z 4) x)) (* -9 (/ (pow z 4) x)))) (* x (pow y 3)))) (* 9 (/ (pow z 4) (* x (pow y 2)))))) (+ (* -9 (/ (pow z 4) (* x (pow y 2)))) (* 3 (/ (pow z 2) y)))))
(* (pow y 2) (+ (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* 3 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -9 (/ (pow z 4) x)) (* 9 (/ (pow z 4) x))) y)) (* 3 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -9 (/ (pow z 4) x)) (* -3 (/ (* (pow z 2) (- (* -9 (/ (pow z 4) x)) (* 9 (/ (pow z 4) x)))) (* x y)))) (* 9 (/ (pow z 4) x))) y)) (* 3 (pow z 2))) y)))))
(* 2 z)
(+ (* -3 (pow z 2)) (* x y))
(+ (* x y) (* (pow z 2) (- (* 18 (/ (pow z 2) (* x y))) 3)))
(+ (* x y) (* (pow z 2) (- (* (pow z 2) (+ (* -54 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 18 (/ 1 (* x y))))) 3)))
(pow z 4)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (- (+ 3 (* 1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (+ (* -1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))))
(* (pow z 2) (- (+ 3 (+ (* -1/3 (/ (* x (* y (- (* 1/3 (* (pow x 2) (pow y 2))) (* -1/3 (* (pow x 2) (pow y 2)))))) (pow z 6))) (* 1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4))))) (+ (* -1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))))
(* (pow z 4) (+ 9 (/ (* (pow x 2) (pow y 2)) (pow z 4))))

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(- (* 2 (pow z 2)) (* -1 (pow z 2)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(- (+ (* 2 (pow z 2)) (* x y)) (* -1 (pow z 2)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(- (+ (* 2 (pow z 2)) (* x (+ y (* x (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2))))))) (* -1 (pow z 2)))
(fma.f64 (fma.f64 #s(literal 0 binary64) x y) x (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (/ (pow z 2) y))
(.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))
(+ x (* 3 (/ (pow z 2) y)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(fma.f64 (neg.f64 x) y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x (- (* x (- (* 1/3 (/ (pow y 2) (pow z 2))) (* -1/3 (/ (pow y 2) (pow z 2))))) y)))
(fma.f64 (-.f64 (.f64 (.f64 (/.f64 y z) (/.f64 y z)) (.f64 #s(literal 2/3 binary64) x)) y) x (.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x (- (* x (- (+ (* -1/3 (/ (* x (* y (- (* 1/3 (/ (pow y 2) (pow z 2))) (* -1/3 (/ (pow y 2) (pow z 2)))))) (pow z 2))) (* 1/3 (/ (pow y 2) (pow z 2)))) (* -1/3 (/ (pow y 2) (pow z 2))))) y)))
(fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x y)) (/.f64 (.f64 (.f64 y y) #s(literal 2/3 binary64)) (.f64 z z)) (.f64 (.f64 y y) #s(literal 2/3 binary64))) (.f64 z z)) x) y) x (.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(+ (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(fma.f64 (.f64 (.f64 y y) x) x (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 y y) x) x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* x (+ y (* 3 (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (- (+ y (* 2 (/ (pow z 2) x))) (* -1 (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (- (+ y (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (/ (pow z 4) y)) (pow x 2))) (* 2 (/ (pow z 2) x)))) (* -1 (/ (pow z 2) x))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) (.f64 #s(literal 3 binary64) (*.f64 z z))) x) y) x)
x
(* x (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 z z) x) y) #s(literal 3 binary64) #s(literal 1 binary64)) x)
(* x (+ y (* -3 (/ (pow z 2) x))))
(.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 z z) x) y) x)
(* x (- (+ y (* 9 (/ (pow z 4) (* (pow x 2) y)))) (+ (* -9 (/ (pow z 4) (* (pow x 2) y))) (* 3 (/ (pow z 2) x)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (/.f64 (*.f64 #s(literal 18 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) y)) x) y) x)
(* x (- (+ y (+ (* -3 (/ (* (pow z 2) (- (* 9 (/ (pow z 4) y)) (* -9 (/ (pow z 4) y)))) (* (pow x 3) y))) (* 9 (/ (pow z 4) (* (pow x 2) y))))) (+ (* -9 (/ (pow z 4) (* (pow x 2) y))) (* 3 (/ (pow z 2) x)))))
(.f64 (+.f64 (fma.f64 (.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #s(literal 18 binary64)) #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (/.f64 (.f64 #s(literal 18 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) y)) x)) y) x)
(* (pow x 2) (+ (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(.f64 (fma.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (.f64 y y)) (*.f64 x x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x)))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) (.f64 #s(literal 3 binary64) (*.f64 z z))) x) y) x)
(* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 z z) x) y)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 y) (* 3 (/ (pow z 2) x)))))
(.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 z z) x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -9 (/ (pow z 4) y)) (* 9 (/ (pow z 4) y))) x)) (* 3 (pow z 2))) x)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (/.f64 (*.f64 #s(literal 18 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) y)) x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -9 (/ (pow z 4) y)) (* -3 (/ (* (pow z 2) (- (* -9 (/ (pow z 4) y)) (* 9 (/ (pow z 4) y)))) (* x y)))) (* 9 (/ (pow z 4) y))) x)) (* 3 (pow z 2))) x)))))
(.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) z) z (/.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -18 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 (.f64 z z) x)) #s(literal -3 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -18 binary64))) y) (neg.f64 x))) x) y) x)
(- (+ (* 2 (pow z 2)) (* y (+ x (* y (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))) (* -1 (pow z 2)))
(fma.f64 (fma.f64 #s(literal 0 binary64) y x) y (.f64 #s(literal 3 binary64) (.f64 z z)))
(/ (+ (* 3 (pow z 2)) (* x y)) y)
(/.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y)) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(+ (* 3 (pow z 2)) (* y (- (* y (- (* 1/3 (/ (pow x 2) (pow z 2))) (* -1/3 (/ (pow x 2) (pow z 2))))) x)))
(fma.f64 (-.f64 (.f64 (.f64 (/.f64 x z) (/.f64 x z)) (.f64 #s(literal 2/3 binary64) y)) x) y (.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* y (- (* y (- (+ (* -1/3 (/ (* x (* y (- (* 1/3 (/ (pow x 2) (pow z 2))) (* -1/3 (/ (pow x 2) (pow z 2)))))) (pow z 2))) (* 1/3 (/ (pow x 2) (pow z 2)))) (* -1/3 (/ (pow x 2) (pow z 2))))) x)))
(fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x y)) (/.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 z z)) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (.f64 z z)) y) x) y (.f64 #s(literal 3 binary64) (*.f64 z z)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (+ x (/ (pow z 2) y)))
(*.f64 (fma.f64 z (/.f64 z y) x) y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (- (+ x (* 2 (/ (pow z 2) y))) (* -1 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x)) (pow y 2))) (* 2 (/ (pow z 2) y)))) (* -1 (/ (pow z 2) y))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) (.f64 #s(literal 3 binary64) (*.f64 z z))) y) x) y)
(* y (+ x (* -3 (/ (pow z 2) y))))
(.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 z z) y) x) y)
(* y (- (+ x (* 9 (/ (pow z 4) (* x (pow y 2))))) (+ (* -9 (/ (pow z 4) (* x (pow y 2)))) (* 3 (/ (pow z 2) y)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (/.f64 (*.f64 #s(literal 18 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) y)) y) x) y)
(* y (- (+ x (+ (* -3 (/ (* (pow z 2) (- (* 9 (/ (pow z 4) x)) (* -9 (/ (pow z 4) x)))) (* x (pow y 3)))) (* 9 (/ (pow z 4) (* x (pow y 2)))))) (+ (* -9 (/ (pow z 4) (* x (pow y 2)))) (* 3 (/ (pow z 2) y)))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 18 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) z) z) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (/.f64 (*.f64 #s(literal 18 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) y)) y)) x) y)
(* (pow y 2) (+ (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #s(literal 9 binary64) (*.f64 x x)) y) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(*.f64 (fma.f64 z (/.f64 z y) x) y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) y)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) y)))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) (.f64 #s(literal 3 binary64) (*.f64 z z))) y) x) y)
(* -1 (* y (+ (* -1 x) (* 3 (/ (pow z 2) y)))))
(.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 z z) y) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -9 (/ (pow z 4) x)) (* 9 (/ (pow z 4) x))) y)) (* 3 (pow z 2))) y)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (/.f64 (*.f64 #s(literal 18 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) y)) y) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -9 (/ (pow z 4) x)) (* -3 (/ (* (pow z 2) (- (* -9 (/ (pow z 4) x)) (* 9 (/ (pow z 4) x)))) (* x y)))) (* 9 (/ (pow z 4) x))) y)) (* 3 (pow z 2))) y)))))
(.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) z) z (/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 18 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) y) x) (.f64 z z)) #s(literal -3 binary64) (.f64 #s(literal 18 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) y)) y) x) y)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(+ (* -3 (pow z 2)) (* x y))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 x y))
(+ (* x y) (* (pow z 2) (- (* 18 (/ (pow z 2) (* x y))) 3)))
(fma.f64 (-.f64 (.f64 #s(literal 18 binary64) (/.f64 (/.f64 (.f64 z z) x) y)) #s(literal 3 binary64)) (.f64 z z) (.f64 x y))
(+ (* x y) (* (pow z 2) (- (* (pow z 2) (+ (* -54 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 18 (/ 1 (* x y))))) 3)))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal -54 binary64) (.f64 y y)) (/.f64 (/.f64 (.f64 z z) x) x) (/.f64 #s(literal 18 binary64) (.f64 x y))) (.f64 z z)) #s(literal 3 binary64)) (.f64 z z) (*.f64 x y))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 x z) (/.f64 y z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 x z) (/.f64 y z) #s(literal 1 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(.f64 (+.f64 (fma.f64 (/.f64 x z) (/.f64 y z) (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x (+.f64 x (neg.f64 x))))) #s(literal 3 binary64)) (*.f64 z z))
(* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))
(.f64 (.f64 (+.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) y)) z) z)
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(.f64 (.f64 (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) #s(literal 3 binary64)) z) z)
(* (pow z 2) (- (+ 3 (* 1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (+ (* -1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))))
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (pow.f64 z #s(literal 4 binary64))) #s(literal -2/3 binary64))) (.f64 (/.f64 x z) (/.f64 y z))) (*.f64 z z))
(* (pow z 2) (- (+ 3 (+ (* -1/3 (/ (* x (* y (- (* 1/3 (* (pow x 2) (pow y 2))) (* -1/3 (* (pow x 2) (pow y 2)))))) (pow z 6))) (* 1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4))))) (+ (* -1/3 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 2/3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1/3 binary64) #s(literal 3 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) x) (pow.f64 z #s(literal 4 binary64))) #s(literal 2/3 binary64))) (.f64 (/.f64 x z) (/.f64 y z))) (*.f64 z z))
(* (pow z 4) (+ 9 (/ (* (pow x 2) (pow y 2)) (pow z 4))))
(.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 x x) #s(literal 9 binary64)) (pow.f64 z #s(literal 4 binary64)))

rewrite312.0ms (3.8%)

Memory

10.4MiB live, 455.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	179
0	62	152
1	329	140
2	2721	140
0	8546	140

Stop Event

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

Counts

16 → 1 126

Calls

Call 1

Inputs
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
(+.f64 z z)
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
(*.f64 z z)
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
(/.f64 (*.f64 z z) y)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x))))
(/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x)))
(fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 z #s(literal 4 binary64))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))

Outputs
(.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (.f64 z z)))
(.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 x y) z) (neg.f64 z))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 x y) (fma.f64 z z (*.f64 x y)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (.f64 z z)))
(.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 x y)))
(pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 x y)))) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 x y))) #s(literal 2 binary64))))) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 x y))))))
(/.f64 (fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 x y))) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 x y)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 x y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 x y)))))) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)))))) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 x y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 x y))))))))
(/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 (neg.f64 y) x)))) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))))) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 z z) (*.f64 (neg.f64 y) x))))))
(/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 x y) z) (neg.f64 z)))) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (*.f64 x y) z) (neg.f64 z))))))
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(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 0 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fabs.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 0 binary64))) (fabs.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 0 binary64))) (fabs.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (fabs.f64 (pow.f64 (.f64 x y) #s(literal 5 binary64))) (fabs.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(/.f64 (fabs.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (fabs.f64 (.f64 (.f64 x y) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 z z (.f64 x y))) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 z z (.f64 x y))) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (.f64 x y) #s(literal 4 binary64)))
(/.f64 (fabs.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64))) (.f64 x y))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 x y)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 z z (.f64 x y))) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x y) (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 z z (.f64 x y))) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (.f64 x y) #s(literal 5 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))
(/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (.f64 (.f64 x y) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 z z (.f64 x y))) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 z z (.f64 x y))) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))
(/.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 4 binary64)))
(/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 x y))
(fma.f64 (neg.f64 (.f64 (neg.f64 y) x)) (neg.f64 (.f64 (neg.f64 y) x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 (fma.f64 z z (.f64 x y)))) (neg.f64 (fabs.f64 (fma.f64 z z (.f64 x y)))) (.f64 (.f64 (neg.f64 z) z) (*.f64 z z)))
(fma.f64 (fabs.f64 (fabs.f64 (fma.f64 z z (.f64 x y)))) (fabs.f64 (fabs.f64 (fma.f64 z z (.f64 x y)))) (.f64 (.f64 (neg.f64 z) z) (*.f64 z z)))
(fma.f64 (fabs.f64 (.f64 (.f64 x y) x)) (fabs.f64 y) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 x y) y)) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (.f64 y y)) (.f64 x x) #s(literal 0 binary64))
(fma.f64 (fabs.f64 y) (fabs.f64 (.f64 x (.f64 x y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 x y) x) #s(literal 1 binary64)) y #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (neg.f64 y) x) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 z) z) (.f64 z z)))
(fma.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 x y) z) (neg.f64 z))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 z) z) (*.f64 z z)))
(fma.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 x y) (fma.f64 z z (.f64 x y)) (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 z) z) (*.f64 z z)))
(fma.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 z) z) (.f64 z z)))
(fma.f64 (.f64 (.f64 x y) x) y #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x y) y) x #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x y) (neg.f64 z)) (neg.f64 z) (.f64 (fma.f64 z z (.f64 x y)) (*.f64 x y)))
(fma.f64 (.f64 (.f64 x y) (neg.f64 z)) (neg.f64 z) (.f64 (.f64 x y) (fma.f64 z z (*.f64 x y))))
(fma.f64 (.f64 (.f64 x y) z) z (.f64 (fma.f64 z z (.f64 x y)) (*.f64 x y)))
(fma.f64 (.f64 (.f64 x y) z) z (.f64 (.f64 x y) (fma.f64 z z (*.f64 x y))))
(fma.f64 (.f64 (.f64 z z) x) y (.f64 (fma.f64 z z (.f64 x y)) (*.f64 x y)))
(fma.f64 (.f64 (.f64 z z) x) y (.f64 (.f64 x y) (fma.f64 z z (*.f64 x y))))
(fma.f64 (.f64 (.f64 z z) y) x (.f64 (fma.f64 z z (.f64 x y)) (*.f64 x y)))
(fma.f64 (.f64 (.f64 z z) y) x (.f64 (.f64 x y) (fma.f64 z z (*.f64 x y))))
(fma.f64 (fabs.f64 x) (fabs.f64 (.f64 y (.f64 x y))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (fma.f64 z z (.f64 x y))) (fabs.f64 (fma.f64 z z (.f64 x y))) (.f64 (.f64 (neg.f64 z) z) (*.f64 z z)))
(fma.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 y) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 z) z) (.f64 z z)))
(fma.f64 (fma.f64 (neg.f64 y) x (.f64 z z)) (fma.f64 (neg.f64 y) x (.f64 z z)) (.f64 (.f64 (neg.f64 z) z) (*.f64 z z)))
(fma.f64 (.f64 x x) (fabs.f64 (.f64 y y)) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (.f64 y y) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (.f64 x x) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (.f64 (neg.f64 z) (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (*.f64 x y)))
(fma.f64 (neg.f64 z) (.f64 (neg.f64 z) (.f64 x y)) (.f64 (.f64 x y) (fma.f64 z z (*.f64 x y))))
(fma.f64 (.f64 z z) (.f64 x y) (.f64 (fma.f64 z z (.f64 x y)) (*.f64 x y)))
(fma.f64 (.f64 z z) (.f64 x y) (.f64 (.f64 x y) (fma.f64 z z (*.f64 x y))))
(fma.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y)) (.f64 (.f64 (neg.f64 z) z) (*.f64 z z)))
(fma.f64 (fma.f64 z z (.f64 x y)) (.f64 x y) (.f64 (.f64 (*.f64 x y) z) z))
(fma.f64 (.f64 x y) (.f64 z z) (.f64 (fma.f64 z z (.f64 x y)) (*.f64 x y)))
(fma.f64 (.f64 x y) (.f64 z z) (.f64 (.f64 x y) (fma.f64 z z (*.f64 x y))))
(fma.f64 (.f64 x y) (fma.f64 z z (.f64 x y)) (.f64 (.f64 (*.f64 x y) z) z))
(fma.f64 (.f64 x y) (.f64 x y) #s(literal 0 binary64))
(fma.f64 x (pow.f64 (.f64 y (.f64 x y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (.f64 y (.f64 x y)) #s(literal 0 binary64))
(fma.f64 x (.f64 y (.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (*.f64 x y)))
(fma.f64 x (.f64 y (.f64 z z)) (.f64 (.f64 x y) (fma.f64 z z (*.f64 x y))))
(fma.f64 y (pow.f64 (.f64 x (.f64 x y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (.f64 x (.f64 x y)) #s(literal 0 binary64))
(fma.f64 y (.f64 x (.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (*.f64 x y)))
(fma.f64 y (.f64 x (.f64 z z)) (.f64 (.f64 x y) (fma.f64 z z (*.f64 x y))))
(fma.f64 z (.f64 z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (*.f64 x y)))
(fma.f64 z (.f64 z (.f64 x y)) (.f64 (.f64 x y) (fma.f64 z z (*.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)))
(-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(exp.f64 (-.f64 (fma.f64 (log.f64 (.f64 x y)) #s(literal 2 binary64) (log.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (.f64 x y)) #s(literal 2 binary64) (log.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 (.f64 (fma.f64 z z (.f64 x y)) (.f64 x y)) (.f64 (.f64 (.f64 x y) z) z))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 x y) (fma.f64 z z (.f64 x y))) (.f64 (.f64 (.f64 x y) z) z))
(+.f64 (.f64 (.f64 (.f64 x y) z) z) (.f64 (fma.f64 z z (.f64 x y)) (.f64 x y)))
(+.f64 (.f64 (.f64 (.f64 x y) z) z) (.f64 (.f64 x y) (fma.f64 z z (.f64 x y))))
(+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 z) z) (.f64 z z)))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))

eval340.0ms (4.1%)

Memory: 34.6MiB live, 333.9MiB allocated
Compiler: Compiled 83 471 to 5 435 computations (93.5% saved)

prune39.0ms (0.5%)

Memory

-48.2MiB live, 94.0MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 662	4	1 666
Fresh	2	1	3
Picked	3	2	5
Done	0	2	2
Total	1 667	9	1 676

Accuracy

100.0%

Counts

1 676 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.3%	(fma.f64 z (+.f64 z z) (fma.f64 z z (-.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 z z)))))
▶	47.8%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	78.7%	(fma.f64 z z (*.f64 y x))
▶	93.2%	#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x) y))
▶	42.3%	#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y))
✓	98.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	47.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	47.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	28.7%	#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Compiler

Compiled 342 to 204 computations (40.4% saved)

simplify264.0ms (3.2%)

Memory

25.3MiB live, 246.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z z)
cost-diff	2	(-.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 z z)))
cost-diff	3	(fma.f64 z (+.f64 z z) (fma.f64 z z (-.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 z z)))))
cost-diff	6	(fma.f64 (neg.f64 z) z (*.f64 z z))
cost-diff	0	(.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y)
cost-diff	0	#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
cost-diff	0	(+.f64 z z)
cost-diff	0	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) z) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y) x)
cost-diff	0	(.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x) y)
cost-diff	0	#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	295
0	70	273
1	138	256
2	369	246
3	994	246
4	3388	246
0	8410	242

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (2.1%)

Memory

-13.4MiB live, 228.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 z)
accuracy	0.03515625	(fma.f64 z (+.f64 z z) (fma.f64 z z (-.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 z z)))))
accuracy	0.7499917428166807	(fma.f64 z z (-.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 z z))))
accuracy	46.822605126231096	(fma.f64 (neg.f64 z) z (*.f64 z z))
accuracy	0.15234375	(.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))
accuracy	3.5729463731086053	(.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y)
accuracy	5.894552227467028	(/.f64 (*.f64 z z) y)
accuracy	34.41243157064977	#s(approx (+ (* (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))
accuracy	0.0	(+.f64 z z)
accuracy	0.0	(*.f64 z z)
accuracy	0.03515625	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
accuracy	33.38438428128547	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.171875	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	33.352093066938906	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x) y))
accuracy	3.5729463731086053	(.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x) y)
accuracy	3.7971045355344364	(fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y) x)

Samples

60.0ms	102×	1	valid
46.0ms	154×	0	valid

Compiler

Compiled 246 to 40 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 25.0ms (32.3% of total)

ival-add: 23.0ms (29.7% of total)

adjust: 12.0ms (15.5% of total)

ival-div: 7.0ms (9% of total)

ival-sub: 3.0ms (3.9% of total)

ival-pow: 3.0ms (3.9% of total)

ival-pow2: 3.0ms (3.9% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.7%)

Memory

20.4MiB live, 58.6MiB allocated

Counts

20 → 53

Calls

Call 1

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

Outputs
(- (* 2 (pow z 2)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x y)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x (+ y (* x (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2))))))) (* -1 (pow z 2)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (/ (pow z 2) y))
(+ x (* 3 (/ (pow z 2) y)))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(* -1 (+ (* -1 (pow z 2)) (pow z 2)))
(- (* x y) (+ (* -1 (pow z 2)) (pow z 2)))
(- (* x y) (* -1 (pow z 2)))
(* x y)
(* x (- (+ y (* 2 (/ (pow z 2) x))) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (/ (pow z 4) y)) (pow x 2))) (* 2 (/ (pow z 2) x)))) (* -1 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
x
(* x (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))))
(- (+ (* 2 (pow z 2)) (* y (+ x (* y (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))) (* -1 (pow z 2)))
(/ (+ (* 3 (pow z 2)) (* x y)) y)
(/ (pow z 2) y)
(* y (- (+ x (* 2 (/ (pow z 2) y))) (* -1 (/ (pow z 2) y))))
(* y (- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x)) (pow y 2))) (* 2 (/ (pow z 2) y)))) (* -1 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)))))
(* 3 z)
(* 2 z)
0
(* -1 z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	y	@	-inf	((+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (* (+ (* (* z z) (/ 3 y)) x) y) (+ (* (* z z) (/ 3 y)) x) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (* (+ (* (/ (* z z) y) 3) x) y) (+ (* (/ (* z z) y) 3) x) (* (/ (* z z) y) 3) (+ (* (neg z) z) (* z z)) (+ (* z (+ z z)) (+ (* z z) (- (* x y) (+ (* (neg z) z) (* z z))))) (- (* x y) (+ (* (neg z) z) (* z z))) (/ (* z z) y) (+ (* z z) (- (* x y) (+ (* (neg z) z) (* z z)))) (neg z))
3.0ms	x	@	0	((+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (* (+ (* (* z z) (/ 3 y)) x) y) (+ (* (* z z) (/ 3 y)) x) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (* (+ (* (/ (* z z) y) 3) x) y) (+ (* (/ (* z z) y) 3) x) (* (/ (* z z) y) 3) (+ (* (neg z) z) (* z z)) (+ (* z (+ z z)) (+ (* z z) (- (* x y) (+ (* (neg z) z) (* z z))))) (- (* x y) (+ (* (neg z) z) (* z z))) (/ (* z z) y) (+ (* z z) (- (* x y) (+ (* (neg z) z) (* z z)))) (neg z))
3.0ms	z	@	inf	((+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (* (+ (* (* z z) (/ 3 y)) x) y) (+ (* (* z z) (/ 3 y)) x) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (* (+ (* (/ (* z z) y) 3) x) y) (+ (* (/ (* z z) y) 3) x) (* (/ (* z z) y) 3) (+ (* (neg z) z) (* z z)) (+ (* z (+ z z)) (+ (* z z) (- (* x y) (+ (* (neg z) z) (* z z))))) (- (* x y) (+ (* (neg z) z) (* z z))) (/ (* z z) y) (+ (* z z) (- (* x y) (+ (* (neg z) z) (* z z)))) (neg z))
2.0ms	z	@	0	((+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (* (+ (* (* z z) (/ 3 y)) x) y) (+ (* (* z z) (/ 3 y)) x) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (* (+ (* (/ (* z z) y) 3) x) y) (+ (* (/ (* z z) y) 3) x) (* (/ (* z z) y) 3) (+ (* (neg z) z) (* z z)) (+ (* z (+ z z)) (+ (* z z) (- (* x y) (+ (* (neg z) z) (* z z))))) (- (* x y) (+ (* (neg z) z) (* z z))) (/ (* z z) y) (+ (* z z) (- (* x y) (+ (* (neg z) z) (* z z)))) (neg z))
2.0ms	z	@	-inf	((+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (* (+ (* (* z z) (/ 3 y)) x) y) (+ (* (* z z) (/ 3 y)) x) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (* (+ (* (/ (* z z) y) 3) x) y) (+ (* (/ (* z z) y) 3) x) (* (/ (* z z) y) 3) (+ (* (neg z) z) (* z z)) (+ (* z (+ z z)) (+ (* z z) (- (* x y) (+ (* (neg z) z) (* z z))))) (- (* x y) (+ (* (neg z) z) (* z z))) (/ (* z z) y) (+ (* z z) (- (* x y) (+ (* (neg z) z) (* z z)))) (neg z))

simplify355.0ms (4.3%)

Memory

-31.9MiB live, 147.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	487
1	728	452
2	2789	437
0	8217	403

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 52

Calls

Call 1

Inputs
(- (* 2 (pow z 2)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x y)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x (+ y (* x (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2))))))) (* -1 (pow z 2)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (/ (pow z 2) y))
(+ x (* 3 (/ (pow z 2) y)))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(* -1 (+ (* -1 (pow z 2)) (pow z 2)))
(- (* x y) (+ (* -1 (pow z 2)) (pow z 2)))
(- (* x y) (* -1 (pow z 2)))
(* x y)
(* x (- (+ y (* 2 (/ (pow z 2) x))) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (/ (pow z 4) y)) (pow x 2))) (* 2 (/ (pow z 2) x)))) (* -1 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
x
(* x (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))))
(- (+ (* 2 (pow z 2)) (* y (+ x (* y (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))) (* -1 (pow z 2)))
(/ (+ (* 3 (pow z 2)) (* x y)) y)
(/ (pow z 2) y)
(* y (- (+ x (* 2 (/ (pow z 2) y))) (* -1 (/ (pow z 2) y))))
(* y (- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x)) (pow y 2))) (* 2 (/ (pow z 2) y)))) (* -1 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)))))
(* 3 z)
(* 2 z)
0
(* -1 z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))

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

rewrite594.0ms (7.2%)

Memory

-12.3MiB live, 348.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	264
0	70	221
1	347	199
2	2642	184
0	10425	176

Stop Event

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

Counts

20 → 1 307

Calls

Call 1

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

Outputs
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (.f64 z z) x) y))
(.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (.f64 z z) x) y)
(.f64 y (fma.f64 (/.f64 #s(literal 3 binary64) y) (.f64 z z) x))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 x) x)) y) (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) x))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))))))
(/.f64 (.f64 y (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) x))
(/.f64 (.f64 y (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (neg.f64 (sqrt.f64 (.f64 x y))) (.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) y))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (neg.f64 (sqrt.f64 (.f64 x y))) (.f64 y (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
(fma.f64 (fabs.f64 (sqrt.f64 (.f64 x y))) (fabs.f64 (sqrt.f64 (.f64 x y))) (.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) y))
(fma.f64 (fabs.f64 (sqrt.f64 (.f64 x y))) (fabs.f64 (sqrt.f64 (.f64 x y))) (.f64 y (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
(fma.f64 (fabs.f64 y) (fabs.f64 x) (.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) y))
(fma.f64 (fabs.f64 y) (fabs.f64 x) (.f64 y (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)) (.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)) (.f64 y (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)) (.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)) (.f64 y (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) y))
(fma.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (.f64 y (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (.f64 y (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
(fma.f64 (fabs.f64 x) (fabs.f64 y) (.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) y))
(fma.f64 (fabs.f64 x) (fabs.f64 y) (.f64 y (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
(fma.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) y (*.f64 x y))
(fma.f64 x y (.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) y))
(fma.f64 x y (.f64 y (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
(fma.f64 y (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) (*.f64 x y))
(fma.f64 y x (.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) y))
(fma.f64 y x (.f64 y (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
(+.f64 (.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) y) (.f64 x y))
(+.f64 (.f64 y (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) (.f64 x y))
(+.f64 (.f64 x y) (.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) y))
(+.f64 (.f64 x y) (.f64 y (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))))) (.f64 (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) #s(literal 2 binary64))) (-.f64 x (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 x (-.f64 x (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 x (-.f64 x (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) (neg.f64 z)) (neg.f64 z) x)
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) z) z x)
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) (/.f64 #s(literal 3 binary64) y)) x)
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
(fma.f64 (*.f64 #s(literal 3 binary64) z) (/.f64 z y) x)
(fma.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 z z) x)
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x)
(fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y) x)
(fma.f64 z (*.f64 (/.f64 z y) #s(literal 3 binary64)) x)
(fma.f64 z (*.f64 (/.f64 #s(literal 3 binary64) y) z) x)
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64)) x)))
(-.f64 x (.f64 (neg.f64 (/.f64 (.f64 z z) y)) #s(literal 3 binary64)))
(-.f64 x (.f64 (neg.f64 (/.f64 #s(literal 3 binary64) y)) (.f64 z z)))
(-.f64 x (.f64 #s(literal -3 binary64) (/.f64 (.f64 z z) y)))
(-.f64 x (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 3 binary64) y)))
(-.f64 x (.f64 (neg.f64 z) (.f64 (/.f64 #s(literal 3 binary64) y) z)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))))))
(+.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)) x)
(+.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z z)
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))))
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 z)) (neg.f64 z))
(.f64 (neg.f64 z) (.f64 (neg.f64 z) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 z (.f64 #s(literal 3 binary64) z))
(*.f64 #s(literal 3 binary64) z)
(*.f64 z #s(literal 3 binary64))
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(/.f64 (+.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 x y #s(literal 0 binary64))) (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 (neg.f64 y) x (.f64 z z)) #s(literal 0 binary64))) (.f64 (fma.f64 (neg.f64 y) x (.f64 z z)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (fma.f64 (neg.f64 y) x (.f64 z z)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 0 binary64)))) (.f64 (fma.f64 (neg.f64 y) x (*.f64 z z)) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal 4 binary64))) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal 4 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal 4 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 0 binary64)))) (.f64 (fma.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (*.f64 x y)) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 0 binary64)) (.f64 (fma.f64 (neg.f64 y) x (.f64 z z)) #s(literal 0 binary64))) (.f64 (fma.f64 (neg.f64 y) x (.f64 z z)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (fma.f64 (neg.f64 y) x (.f64 z z)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 0 binary64)))) (.f64 (fma.f64 (neg.f64 y) x (*.f64 z z)) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 0 binary64))) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 0 binary64)))) (.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 z z) (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 x y #s(literal 0 binary64))) (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (neg.f64 (sqrt.f64 (.f64 x y))) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (neg.f64 (sqrt.f64 (.f64 x y))) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (fabs.f64 (sqrt.f64 (.f64 x y))) (fabs.f64 (sqrt.f64 (.f64 x y))) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 (sqrt.f64 (.f64 x y))) (fabs.f64 (sqrt.f64 (.f64 x y))) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (fabs.f64 y) (fabs.f64 x) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 y) (fabs.f64 x) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64))) (fma.f64 x y #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64))) (fma.f64 x y #s(literal 0 binary64)) (*.f64 (neg.f64 z) z))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64))) (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) z))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (*.f64 z z))
(fma.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 x y) z) (neg.f64 z))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 y) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 y) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 z z (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))
(fma.f64 (neg.f64 z) (neg.f64 z) (+.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 x y #s(literal 0 binary64)))
(fma.f64 z (+.f64 #s(literal 0 binary64) z) (fma.f64 x y #s(literal 0 binary64)))
(fma.f64 z #s(literal 0 binary64) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))
(fma.f64 z z (fma.f64 z z (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))
(fma.f64 z z (+.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(fma.f64 x y (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 y x (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
(-.f64 (fma.f64 z (+.f64 #s(literal 0 binary64) z) (fma.f64 z z (.f64 x y))) (.f64 z z))
(-.f64 (fma.f64 z (+.f64 #s(literal 0 binary64) z) (*.f64 x y)) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 z z) (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 z z) (fma.f64 x y #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))) (/.f64 (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z z))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z z))) #s(literal 0 binary64)))
(-.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 (neg.f64 z) z))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
(-.f64 (fma.f64 z z (*.f64 x y)) #s(literal 0 binary64))
(-.f64 (*.f64 z z) (fma.f64 (neg.f64 y) x #s(literal 0 binary64)))
(-.f64 (.f64 z z) (-.f64 (.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(-.f64 (*.f64 x y) (fma.f64 (neg.f64 z) z #s(literal 0 binary64)))
(-.f64 (.f64 x y) (-.f64 (.f64 (neg.f64 z) z) #s(literal 0 binary64)))
(-.f64 (*.f64 x y) (fma.f64 z z #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(+.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) (*.f64 z z))
(+.f64 (+.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) (.f64 z z)) (.f64 z z))
(+.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 x y #s(literal 0 binary64))) (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 x y #s(literal 0 binary64))) (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 (neg.f64 z) z))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
(+.f64 #s(literal 0 binary64) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 x y)))
(+.f64 (fma.f64 z z (*.f64 x y)) #s(literal 0 binary64))
(+.f64 (*.f64 z z) (fma.f64 z z (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))
(+.f64 (*.f64 z z) (+.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+.f64 (.f64 x y) (-.f64 (.f64 z z) #s(literal 0 binary64)))
(+.f64 (*.f64 x y) (fma.f64 z z #s(literal 0 binary64)))
(neg.f64 z)

eval126.0ms (1.5%)

Memory: 42.7MiB live, 158.3MiB allocated
Compiler: Compiled 39 841 to 2 636 computations (93.4% saved)

prune65.0ms (0.8%)

Memory

-24.3MiB live, 52.1MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	813	3	816
Fresh	0	0	0
Picked	3	2	5
Done	0	4	4
Total	816	9	825

Accuracy

100.0%

Counts

825 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.2%	(fma.f64 z (+.f64 z z) (fma.f64 z z (fma.f64 z z (fma.f64 (neg.f64 z) z (*.f64 x y)))))
✓	47.8%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	78.7%	(fma.f64 z z (*.f64 y x))
	42.3%	#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 z z))) y))
	58.1%	#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (*.f64 x y))
✓	98.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	47.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	47.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	28.7%	#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Compiler

Compiled 768 to 236 computations (69.3% saved)

regimes89.0ms (1.1%)

Memory

19.5MiB live, 65.7MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 z z (*.f64 y x))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 z z))) y))
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y))
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x) y))
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 z (+.f64 z z) (fma.f64 z z (fma.f64 z z (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(fma.f64 z (+.f64 z z) (fma.f64 z z (-.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 z z)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x))))
(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 (neg.f64 z) z))) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 (neg.f64 y) x))))) (.f64 z z)) (*.f64 z z))
(+.f64 (+.f64 (fma.f64 z z (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 z z))

Outputs
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))

Calls

6 calls:

58.0ms	z
6.0ms	y
6.0ms	x
6.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
6.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.8%	1	`(*.f64 x y)`
98.8%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes73.0ms (0.9%)

Memory

-2.4MiB live, 33.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))

Calls

6 calls:

58.0ms	(*.f64 z z)
3.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`y`
98.7%	1	`z`
98.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.7%	1	`(*.f64 x y)`
98.7%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes21.0ms (0.3%)

Memory

-7.8MiB live, 29.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs
(fma.f64 z z (*.f64 y x))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))

Calls

6 calls:

8.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
78.7%	1	`x`
84.8%	3	`y`
89.7%	2	`z`
82.8%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
86.7%	3	`(*.f64 x y)`
89.7%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs
(fma.f64 z z (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Calls

2 calls:

2.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
89.7%	2	`z`
89.7%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (*.f64 x y))

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))

Calls

2 calls:

2.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
89.0%	2	`z`
89.0%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes7.0ms (0.1%)

Memory

-30.1MiB live, 7.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (*.f64 x y))

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))

Outputs

#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (*.f64 x y))

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))

Calls

2 calls:

5.0ms	z
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
89.0%	2	`z`
89.0%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes8.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (*.f64 x y))

Outputs
#s(approx (+ (+ (/ (- (pow (* y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Calls

6 calls:

1.0ms	x
1.0ms	y
1.0ms	z
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
58.1%	1	`x`
69.9%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
62.7%	3	`y`
63.9%	3	`(*.f64 x y)`
76.6%	2	`z`
76.6%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Outputs
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Calls

6 calls:

1.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
28.7%	1	`x`
28.7%	1	`y`
28.7%	1	`(*.f64 x y)`
28.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
28.7%	1	`z`
28.7%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.3682189234335715e-10	1.7725568102089803e-9

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.3682189234335715e-10	1.7725568102089803e-9

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.3682189234335715e-10	1.7725568102089803e-9

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch50.0ms (0.6%)

Memory

-34.3MiB live, 12.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	3.3682189234335715e-10	1.7725568102089803e-9

Samples

45.0ms

96×

valid

Compiler

Compiled 308 to 200 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (52.4% of total)

ival-mult: 1.0ms (52.4% of total)

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

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

bsearch12.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.8177195597595936e+127	1.2508804224764884e+130

Samples

5.0ms	124×	0	valid
0.0ms	3×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 342 to 246 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (68.5% of total)

ival-mult: 1.0ms (34.3% of total)

adjust: 0.0ms (0% of total)

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

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

simplify153.0ms (1.9%)

Memory

-19.7MiB live, 54.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	265
1	94	251
2	239	243
3	657	243
4	1976	243
5	3669	243
6	5163	243
7	6057	243

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/9671406556917033397649408 binary64)) (fma.f64 z z (.f64 y x)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/9671406556917033397649408 binary64)) (fma.f64 z z (.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (+ (+ (/ (- (pow ( y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 3530063393274717/2417851639229258349412352 binary64)) #s(approx (+ (+ (/ (- (pow ( y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 12499999999999998900319437619653976739106608121190716272807671069834697697112660346369992387401504344263371792574983763896668520448 binary64)) #s(approx (+ (+ (/ (- (pow ( y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)))
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Outputs
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/9671406556917033397649408 binary64)) (fma.f64 z z (.f64 y x)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/9671406556917033397649408 binary64)) (fma.f64 z z (.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (+ (+ (/ (- (pow ( y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 3530063393274717/2417851639229258349412352 binary64)) #s(approx (+ (+ (/ (- (pow ( y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 12499999999999998900319437619653976739106608121190716272807671069834697697112660346369992387401504344263371792574983763896668520448 binary64)) #s(approx (+ (+ (/ (- (pow ( y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 12499999999999998900319437619653976739106608121190716272807671069834697697112660346369992387401504344263371792574983763896668520448 binary64)) #s(approx (+ (+ (/ (- (pow ( y x) 2) (pow z 4)) (+ (* y x) (* (neg z) z))) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
#s(approx (+ (* z z) (* y x)) (*.f64 z z))

soundness1.5s (18.6%)

Memory

15.2MiB live, 891.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	1337
1	1280	1221
2	5112	1071
0	8258	1011
0	70	208
1	281	180
2	997	180
3	4202	180
0	8237	161
0	187	487
1	728	452
2	2789	437
0	8217	403
0	41	179
0	62	152
1	329	140
2	2721	140
0	8546	140
0	561	2953
1	2026	1935
0	9184	1799
0	42	299
0	72	193
1	361	176
2	3031	172
0	9909	165
0	8	36
0	13	36
1	63	32
2	637	24
0	9212	20

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

Compiler

Compiled 743 to 347 computations (53.3% saved)

preprocess54.0ms (0.7%)

Memory

26.6MiB live, 100.3MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 672 to 186 computations (72.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample854.0ms (10.4%)

explain116.0ms (1.4%)

preprocess84.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.3%)

localize27.0ms (0.3%)

series7.0ms (0.1%)

simplify89.0ms (1.1%)

rewrite260.0ms (3.2%)

eval41.0ms (0.5%)

prune9.0ms (0.1%)

simplify256.0ms (3.1%)

localize157.0ms (1.9%)

series116.0ms (1.4%)

simplify163.0ms (2%)

rewrite396.0ms (4.8%)

eval568.0ms (6.9%)

prune126.0ms (1.5%)

simplify228.0ms (2.8%)

localize134.0ms (1.6%)

series39.0ms (0.5%)

simplify191.0ms (2.3%)

rewrite312.0ms (3.8%)

eval340.0ms (4.1%)

prune39.0ms (0.5%)

simplify264.0ms (3.2%)

localize175.0ms (2.1%)

series55.0ms (0.7%)

simplify355.0ms (4.3%)

rewrite594.0ms (7.2%)

eval126.0ms (1.5%)

prune65.0ms (0.8%)

regimes89.0ms (1.1%)

regimes73.0ms (0.9%)

regimes21.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch50.0ms (0.6%)

bsearch12.0ms (0.1%)

simplify153.0ms (1.9%)

soundness1.5s (18.6%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling