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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample939.0ms (14.1%)

Memory

-11.1MiB live, 916.2MiB allocated

Samples

494.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-mult: 115.0ms (50.1% of total)

ival-add: 105.0ms (45.8% of total)

ival-true: 6.0ms (2.6% of total)

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

Bogosity

explain330.0ms (5%)

Memory

-13.6MiB live, 140.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
2	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
2	-	-	`(+.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	4	0
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 z z)`	overflow	66
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	88
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	88
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 z z)`	overflow	132
↳	`(*.f64 z z)`	overflow	66
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	88
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 z z)`	overflow	66
↳	`(*.f64 z z)`	overflow	66

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	2
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 145 to 36 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.1% of total)

ival-add: 6.0ms (43.8% of total)

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

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

preprocess72.0ms (1.1%)

Memory

20.9MiB live, 55.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	104	120
2	235	82
3	602	81
4	1131	81
5	1497	81
6	2068	81
7	2586	81
8	2644	81
9	2644	81
0	8	15
0	13	15
1	20	13
2	30	9
3	42	9
4	50	9
5	53	9
0	53	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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
cost-diff	192	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
cost-diff	512	(+.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	20	38
2	30	34
3	42	34
4	50	34
5	53	34
0	53	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

localize24.0ms (0.4%)

Memory

15.0MiB live, 49.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.5039021216604116	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.5781208716604116	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.8984333716604117	(+.f64 (.f64 x y) (.f64 z z))

Samples

18.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 7.0ms (65.1% of total)

ival-mult: 3.0ms (27.9% of total)

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

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

series173.0ms (2.6%)

Memory

-24.6MiB live, 11.2MiB 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
167.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))
1.0ms	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	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))

simplify257.0ms (3.9%)

Memory

4.2MiB live, 166.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	244	180
2	752	180
3	2132	180
4	5815	180
0	8129	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 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* 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 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* -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 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* 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 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 y x))
(* -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 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(+ (* 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 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))

rewrite312.0ms (4.7%)

Memory

16.6MiB live, 175.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Counts

4 → 324

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

eval69.0ms (1%)

Memory: -9.3MiB live, 51.0MiB allocated
Compiler: Compiled 10 015 to 1 014 computations (89.9% saved)

prune28.0ms (0.4%)

Memory

-10.2MiB live, 25.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	324	7	331
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	325	7	332

Accuracy

100.0%

Counts

332 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
▶	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	98.3%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
	34.6%	(+.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y x))) (.f64 z z)) (*.f64 z z))
	34.5%	(+.f64 (+.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y x)))) (.f64 z z)) (.f64 z z))
▶	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 250 to 156 computations (37.6% saved)

simplify5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
cost-diff	0	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
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)))
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	(fma.f64 z z (*.f64 y x))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	384	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	138
0	36	145
1	56	121
2	69	121
3	77	121
0	77	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (1.3%)

Memory

-2.2MiB live, 71.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.16796875	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.5039007452111204	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 y x)
accuracy	1.0039021216604116	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
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	0.5937444952111204	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
accuracy	0.0	(*.f64 z z)
accuracy	0.16796875	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	28.072688050125706	#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 2 binary64) z)
accuracy	0.0234375	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	0.49999449521112044	(fma.f64 z z (*.f64 y x))

Samples

50.0ms

256×

valid

Compiler

Compiled 269 to 45 computations (83.3% saved)

Precisions

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

ival-mult: 16.0ms (54.4% of total)

ival-add: 13.0ms (44.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

12 → 23

Calls

Call 1

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

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))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* -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))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* -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))))
(* 2 z)
(* 3 z)
(* (pow z 2) (+ 3 (/ (* 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	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* y x) (* 3 (* z z))))
1.0ms	z	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* y x) (* 3 (* z z))))
1.0ms	z	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* y x) (* 3 (* z z))))
1.0ms	x	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* y x) (* 3 (* z z))))
1.0ms	y	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* y x) (* 3 (* z z))))

simplify123.0ms (1.9%)

Memory

3.5MiB live, 120.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	207
1	248	163
2	752	163
3	2148	163
4	5612	163
0	8189	146

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

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

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

rewrite528.0ms (7.9%)

Memory

3.7MiB live, 325.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	103
0	36	110
1	152	86
2	1170	86
0	8300	86

Stop Event

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

Counts

12 → 804

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(.f64 (-.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z (.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 x y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 z z) (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y)))))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 z z))))))
(.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z z) (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))))))
(.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))) (.f64 (/.f64 (pow.f64 z #s(literal 4 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 (fma.f64 x y (/.f64 #s(literal 0 binary64) #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 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))))) (.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))) (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))))) (+.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 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 (fma.f64 x y (/.f64 #s(literal 0 binary64) #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 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
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(-.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (fma.f64 z z (.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (fma.f64 z z (.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #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 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))))))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (neg.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))))
(+.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 x y))
(+.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 z z))
(+.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))

eval92.0ms (1.4%)

Memory: -11.8MiB live, 73.7MiB allocated
Compiler: Compiled 9 678 to 885 computations (90.9% saved)

prune91.0ms (1.4%)

Memory

-15.7MiB live, 21.6MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	336	3	339
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	340	6	346

Accuracy

100.0%

Counts

346 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	34.3%	(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
✓	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	56.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 118 to 72 computations (39% saved)

simplify158.0ms (2.4%)

Memory

14.0MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(pow.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
cost-diff	128	(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
cost-diff	384	(fma.f64 z (+.f64 z z) (*.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	140
0	43	130
1	73	122
2	117	122
3	172	122
4	269	122
5	445	122
6	741	122
7	1378	122
8	2693	122
9	3604	122
10	3766	122
11	3792	122
12	3796	122
13	3796	122
14	3994	122
15	4078	122
16	4078	122
17	4092	122
0	4092	118

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize81.0ms (1.2%)

Memory

4.4MiB live, 93.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.201503759768442	(pow.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.7499917428166807	(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
accuracy	8.339796274094736	(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
accuracy	38.06323564151414	(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
accuracy	0.0	(+.f64 z z)
accuracy	0.0	(*.f64 z z)
accuracy	0.05078125	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	28.072688050125706	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.18359375	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	28.072688050125706	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Samples

65.0ms

256×

valid

Compiler

Compiled 270 to 55 computations (79.6% saved)

Precisions

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

ival-mult: 38.0ms (72.8% of total)

ival-add: 6.0ms (11.5% of total)

ival-pow: 3.0ms (5.7% of total)

ival-div: 2.0ms (3.8% of total)

ival-pow2: 2.0ms (3.8% of total)

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

exact: 1.0ms (1.9% of total)

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

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

series135.0ms (2%)

Memory

-16.7MiB live, 21.7MiB allocated

Counts

12 → 31

Calls

Call 1

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

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* -9 (pow z 4))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* (pow x 2) (pow y 2))
(* x y)
(* -3 (pow z 2))
(+ (* -3 (pow z 2)) (* x y))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* -3 (/ (pow z 2) x))))
(* -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) (* 3 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* -3 (/ (pow z 2) y))))
(* -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) (* 3 (/ (pow z 2) y)))))
(* 3 z)
(pow z 2)
(* 2 z)
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))

Calls

9 calls:

Time	Variable		Point	Expression
119.0ms	y	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (- (pow (* x y) 2) (* 9 (pow z 4))) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (pow (* x y) 2) (* x y) (+ (* x y) (* -3 (* z z))))
3.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (- (pow (* x y) 2) (* 9 (pow z 4))) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (pow (* x y) 2) (* x y) (+ (* x y) (* -3 (* z z))))
2.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (- (pow (* x y) 2) (* 9 (pow z 4))) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (pow (* x y) 2) (* x y) (+ (* x y) (* -3 (* z z))))
2.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (- (pow (* x y) 2) (* 9 (pow z 4))) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (pow (* x y) 2) (* x y) (+ (* x y) (* -3 (* z z))))
2.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (- (pow (* x y) 2) (* 9 (pow z 4))) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (pow (* x y) 2) (* x y) (+ (* x y) (* -3 (* z z))))

simplify226.0ms (3.4%)

Memory

8.3MiB live, 159.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	313
1	280	269
2	836	269
3	2814	265
4	7511	265
0	8226	243

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* -9 (pow z 4))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* (pow x 2) (pow y 2))
(* x y)
(* -3 (pow z 2))
(+ (* -3 (pow z 2)) (* x y))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* -3 (/ (pow z 2) x))))
(* -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) (* 3 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* -3 (/ (pow z 2) y))))
(* -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) (* 3 (/ (pow z 2) y)))))
(* 3 z)
(pow z 2)
(* 2 z)
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))

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 y x))
(* -9 (pow z 4))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(fma.f64 (.f64 (.f64 x x) y) y (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
(* 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 y x))
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x x) y) y)
(* x y)
(*.f64 y x)
(* -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 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* x (+ y (* -3 (/ (pow z 2) x))))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* x (+ (* -1 y) (* 3 (/ (pow z 2) x)))))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(fma.f64 (.f64 (.f64 x x) y) y (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* y (+ x (* -3 (/ (pow z 2) y))))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* y (+ (* -1 x) (* 3 (/ (pow z 2) y)))))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(pow z 2)
(*.f64 z z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(fma.f64 (.f64 (.f64 x x) y) y (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(.f64 (fma.f64 (.f64 (*.f64 x x) y) (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -9 binary64)) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))

rewrite308.0ms (4.6%)

Memory

10.6MiB live, 297.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	114
0	43	104
1	168	85
2	1332	85
0	8542	81

Stop Event

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

Counts

12 → 913

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) z) (.f64 #s(literal 3 binary64) z))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) z)) #s(literal -1 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 z (.f64 #s(literal 3 binary64) z))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) z) (fma.f64 z z #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) z) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (.f64 #s(literal 2 binary64) z) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 0 binary64))) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) z))) (neg.f64 (-.f64 (.f64 z z) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) z)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) z) (fma.f64 z z #s(literal 0 binary64))) (.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 z #s(literal 4 binary64)))) (.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z z) (.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) z)) (-.f64 (.f64 z z) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))))
(/.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) z)))
(fma.f64 (/.f64 z (fma.f64 z z #s(literal 0 binary64))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) z) (.f64 #s(literal 2 binary64) z)) (*.f64 z z))
(fma.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) z) (pow.f64 z #s(literal 3 binary64))) (.f64 z z))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) z) (/.f64 z (-.f64 (.f64 #s(literal 2 binary64) z) z)) (*.f64 z z))
(fma.f64 (/.f64 z z) (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 2 binary64) z) z)) (*.f64 z z))
(fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) z) (/.f64 (.f64 #s(literal 2 binary64) z) (-.f64 (.f64 #s(literal 2 binary64) z) z)) (*.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2 binary64) z) z)) (.f64 z z))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 z z))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 z z))
(fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (.f64 z z))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 z z))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 z z))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 z z))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 z z))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 3/2 binary64)) (.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 3/2 binary64)) (.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 9 binary64)) (.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 3 binary64)) (.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64)) (.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 6 binary64)) (.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z) (*.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (.f64 z z) (*.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 z z))
(fma.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 z z))
(fma.f64 #s(literal 4 binary64) (.f64 z z) (.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 z z))
(fma.f64 #s(literal 2 binary64) z (*.f64 z z))
(fma.f64 (.f64 z z) (.f64 #s(literal 2 binary64) z) (*.f64 z z))
(fma.f64 (.f64 z z) #s(literal 4 binary64) (.f64 z z))
(fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 z z))
(fma.f64 z #s(literal 2 binary64) (*.f64 z z))
(fma.f64 z z (*.f64 #s(literal 2 binary64) z))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 z z) (.f64 #s(literal 2 binary64) z))) (/.f64 (.f64 #s(literal 2 binary64) z) (-.f64 (.f64 z z) (*.f64 #s(literal 2 binary64) z))))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) z) (.f64 z z))
(+.f64 (.f64 z z) (.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 3 binary64) z)
(*.f64 z #s(literal 3 binary64))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) z)) (fma.f64 z z (-.f64 (.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) z (-.f64 (.f64 z z) (.f64 #s(literal 2 binary64) z)))))
(/.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) z (-.f64 (.f64 z z) (.f64 #s(literal 2 binary64) z))))
(/.f64 (neg.f64 (fma.f64 z z #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) z)))
(/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) z (-.f64 (.f64 z z) (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) z) (fma.f64 z z #s(literal 0 binary64))))
(fma.f64 (/.f64 z (fma.f64 z z #s(literal 0 binary64))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) z) (.f64 #s(literal 2 binary64) z)) z)
(fma.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) z) (pow.f64 z #s(literal 3 binary64))) z)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) z) (/.f64 z (-.f64 (.f64 #s(literal 2 binary64) z) z)) z)
(fma.f64 (/.f64 z z) (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 2 binary64) z) z)) z)
(fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) z) (/.f64 (.f64 #s(literal 2 binary64) z) (-.f64 (.f64 #s(literal 2 binary64) z) z)) z)
(fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) z)) z)
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) z)
(fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) z)
(fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) z)
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) z)
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)) z)
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)) z)
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) z)
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) z) z)
(fma.f64 (pow.f64 z #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) z) z)
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) z)
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) z)
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 binary64)) z)
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) z)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) z)
(fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 8 binary64) z)
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z) z)
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) z) z)
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) z) z)
(fma.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 3/2 binary64)) z)
(fma.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 3/2 binary64)) z)
(fma.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 9 binary64)) z)
(fma.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 3 binary64)) z)
(fma.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64)) z)
(fma.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 6 binary64)) z)
(fma.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z) z)
(fma.f64 (.f64 #s(literal 2 binary64) z) (.f64 z z) z)
(fma.f64 (*.f64 #s(literal 2 binary64) z) z z)
(fma.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)) z)
(fma.f64 #s(literal 4 binary64) (*.f64 z z) z)
(fma.f64 #s(literal 2 binary64) (*.f64 z z) z)
(fma.f64 #s(literal 2 binary64) z z)
(fma.f64 (.f64 z z) (.f64 #s(literal 2 binary64) z) z)
(fma.f64 (*.f64 z z) #s(literal 4 binary64) z)
(fma.f64 z (*.f64 #s(literal 2 binary64) z) z)
(fma.f64 z #s(literal 2 binary64) z)
(-.f64 (/.f64 (.f64 #s(literal 2 binary64) z) (-.f64 (.f64 #s(literal 2 binary64) z) z)) (/.f64 (.f64 z z) (-.f64 (.f64 #s(literal 2 binary64) z) z)))
(+.f64 (*.f64 #s(literal 2 binary64) z) z)
(+.f64 z (*.f64 #s(literal 2 binary64) z))
(.f64 (/.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) z) (.f64 #s(literal 3 binary64) z))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) z)) #s(literal -1 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
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(.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) z (.f64 y x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) z (.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 #s(literal 2 binary64) z (.f64 y x))) (pow.f64 (fma.f64 #s(literal 2 binary64) z (.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (/.f64 (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (*.f64 y x)) #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (*.f64 y x)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (*.f64 z z))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) (/.f64 (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))) (fma.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))) (pow.f64 (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 y x (.f64 (*.f64 z z) #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (*.f64 y x))))
(/.f64 (neg.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 (neg.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) (.f64 (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)))) (.f64 (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))) (fma.f64 y x (.f64 (*.f64 z z) #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (*.f64 y x)))
(/.f64 (neg.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 (neg.f64 (fma.f64 y x (.f64 (*.f64 z z) #s(literal 3 binary64))))))
(/.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 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z))))))
(/.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 (-.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (.f64 y x)) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z)))) (fma.f64 #s(literal -27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) #s(literal -1 binary64)))
(/.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 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z)))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z))))
(/.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))) #s(literal -1 binary64))
(/.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 y x (.f64 (*.f64 z z) #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) #s(literal 1 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 y x (.f64 (*.f64 z z) #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)) (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)) (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 1 binary64)) (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 (.f64 #s(literal -3 binary64) z) z (.f64 y x))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 z z) #s(literal -3 binary64) (.f64 y x))
(fma.f64 z (.f64 #s(literal -3 binary64) z) (.f64 y x))
(fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) (/.f64 (/.f64 (.f64 #s(literal 81 binary64) (pow.f64 z #s(literal 8 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) (/.f64 (/.f64 (.f64 (pow.f64 z #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 #s(literal -3 binary64) (*.f64 z z)))

eval262.0ms (3.9%)

Memory: -7.0MiB live, 179.6MiB allocated
Compiler: Compiled 31 104 to 2 782 computations (91.1% saved)

prune40.0ms (0.6%)

Memory

-0.8MiB live, 38.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	858	2	860
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	859	7	866

Accuracy

100.0%

Counts

866 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	17.1%	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))
✓	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	56.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	30.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (*.f64 #s(literal 2 binary64) z)))
✓	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 146 to 89 computations (39% saved)

simplify137.0ms (2.1%)

Memory

-1.4MiB live, 50.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 z #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
cost-diff	0	#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
cost-diff	0	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (*.f64 #s(literal 2 binary64) z)))
cost-diff	192	(fma.f64 z z (*.f64 #s(literal 2 binary64) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	106
0	35	104
1	58	102
2	94	98
3	123	98
4	165	98
5	234	98
6	347	98
7	542	98
8	694	98
9	883	98
10	1124	98
11	1394	98
12	1712	98
13	1908	98
14	2071	98
15	2097	98
16	2133	98
17	2147	98
18	2159	98
0	2159	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (0.9%)

Memory

-2.2MiB live, 112.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.f64 #s(literal -3 binary64) (.f64 z z))
accuracy	0.7499917428166807	(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
accuracy	26.043450760527758	#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
accuracy	38.06323564151414	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))
accuracy	0.0	(fma.f64 z z (*.f64 #s(literal 2 binary64) z))
accuracy	0.0	(*.f64 #s(literal 2 binary64) z)
accuracy	44.23707324284784	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (*.f64 #s(literal 2 binary64) z)))

Samples

38.0ms

256×

valid

Compiler

Compiled 198 to 54 computations (72.7% saved)

Precisions

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

ival-mult: 9.0ms (35.3% of total)

ival-add: 8.0ms (31.4% of total)

ival-pow: 3.0ms (11.8% of total)

ival-div: 2.0ms (7.8% of total)

ival-pow2: 2.0ms (7.8% of total)

ival-sub: 1.0ms (3.9% of total)

exact: 1.0ms (3.9% of total)

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

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

series12.0ms (0.2%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

9 → 33

Calls

Call 1

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

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))
(* -9 (pow z 4))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(* -3 (pow z 2))
(+ (* -3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* x (+ y (* -3 (/ (pow z 2) x))))
(* -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) (* 3 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* y (+ x (* -3 (/ (pow z 2) y))))
(* -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) (* 3 (/ (pow z 2) y)))))
(* 2 z)
(* z (+ 2 z))
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(pow z 4)
(pow z 2)
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	((+ (* z z) (* 2 z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 2 z) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (pow z 4) (+ (* x y) (* -3 (* z z))) (* -3 (* z z)))
2.0ms	z	@	-inf	((+ (* z z) (* 2 z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 2 z) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (pow z 4) (+ (* x y) (* -3 (* z z))) (* -3 (* z z)))
2.0ms	z	@	0	((+ (* z z) (* 2 z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 2 z) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (pow z 4) (+ (* x y) (* -3 (* z z))) (* -3 (* z z)))
1.0ms	x	@	0	((+ (* z z) (* 2 z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 2 z) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (pow z 4) (+ (* x y) (* -3 (* z z))) (* -3 (* z z)))
1.0ms	x	@	-inf	((+ (* z z) (* 2 z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 2 z) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (pow z 4) (+ (* x y) (* -3 (* z z))) (* -3 (* z z)))

simplify138.0ms (2.1%)

Memory

5.8MiB live, 162.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	323
1	301	279
2	882	279
3	3045	275
0	8281	253

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

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))
(* -9 (pow z 4))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(* -3 (pow z 2))
(+ (* -3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* x (+ y (* -3 (/ (pow z 2) x))))
(* -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) (* 3 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* y (+ x (* -3 (/ (pow z 2) y))))
(* -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) (* 3 (/ (pow z 2) y)))))
(* 2 z)
(* z (+ 2 z))
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(pow z 4)
(pow z 2)
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))

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 y x))
(* 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 y x))
(* -9 (pow z 4))
(*.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64)))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(fma.f64 (.f64 (.f64 y y) x) x (*.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64))))
(* -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 y x))
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 y y) x) x)
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(* x (+ y (* -3 (/ (pow z 2) x))))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* x (+ (* -1 y) (* 3 (/ (pow z 2) x)))))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(* y (+ x (* -3 (/ (pow z 2) y))))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* y (+ (* -1 x) (* 3 (/ (pow z 2) y)))))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* z (+ 2 z))
(*.f64 (+.f64 #s(literal 2 binary64) z) z)
(+ (* -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 z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(*.f64 (+.f64 #s(literal 2 binary64) z) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(.f64 (fma.f64 (.f64 (*.f64 y y) x) (/.f64 x (pow.f64 z #s(literal 4 binary64))) #s(literal -9 binary64)) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))

rewrite427.0ms (6.4%)

Memory

-39.2MiB live, 178.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	95
0	35	93
1	148	91
2	1145	89
0	8632	85

Stop Event

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

Counts

9 → 180

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) z) z) z) (/.f64 (*.f64 z (-.f64 z #s(literal 2 binary64))) (-.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) z (*.f64 (neg.f64 z) z))))
(.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (-.f64 z #s(literal 2 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2 binary64))) (pow.f64 z #s(literal 4 binary64))))))
(*.f64 (+.f64 #s(literal 2 binary64) z) z)
(.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 z z))) (pow.f64 (.f64 z (-.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) z) z))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 z z) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal 2 binary64) z))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) z) z)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z (-.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z (-.f64 z #s(literal 2 binary64))))) (.f64 (.f64 (/.f64 (.f64 z z) z) (/.f64 #s(literal 4 binary64) (-.f64 z #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 z z) z) (/.f64 #s(literal 4 binary64) (-.f64 z #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z (-.f64 z #s(literal 2 binary64)))) (.f64 (/.f64 (*.f64 z z) z) (/.f64 #s(literal 4 binary64) (-.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z (-.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 z z) z) (/.f64 #s(literal 4 binary64) (-.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z (-.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z (-.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 z z) z) (/.f64 #s(literal 4 binary64) (-.f64 z #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 z z) z) (/.f64 #s(literal 4 binary64) (-.f64 z #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z (-.f64 z #s(literal 2 binary64)))) (.f64 (/.f64 (*.f64 z z) z) (/.f64 #s(literal 4 binary64) (-.f64 z #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (neg.f64 (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (neg.f64 z) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 z z))))) (neg.f64 (*.f64 (neg.f64 z) (-.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2 binary64))) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z (-.f64 z #s(literal 2 binary64)))) (.f64 (.f64 z (-.f64 z #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (.f64 z (-.f64 z #s(literal 2 binary64))) (*.f64 z (-.f64 z #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) z (.f64 (neg.f64 z) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 z z)))) (*.f64 (neg.f64 z) (-.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) z) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 z z))) (*.f64 z (-.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (neg.f64 z) z)) (fma.f64 #s(literal 4 binary64) (.f64 z z) (neg.f64 (pow.f64 z #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) z) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) z) z)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 z z) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2 binary64))) (pow.f64 z #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 z z)))) (*.f64 z (-.f64 z #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 z z))) (*.f64 (neg.f64 z) (-.f64 z #s(literal 2 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (.f64 z z) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2 binary64))) (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 z (-.f64 z #s(literal 2 binary64))) (neg.f64 (.f64 (/.f64 (.f64 z z) z) (/.f64 #s(literal 4 binary64) (-.f64 z #s(literal 2 binary64))))))
(fma.f64 (/.f64 (.f64 z z) z) (/.f64 (.f64 z z) (-.f64 z #s(literal 2 binary64))) (neg.f64 (.f64 (/.f64 (.f64 z z) z) (/.f64 #s(literal 4 binary64) (-.f64 z #s(literal 2 binary64))))))
(fma.f64 (/.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 z #s(literal 2 binary64))) (neg.f64 (.f64 (/.f64 (.f64 z z) z) (/.f64 #s(literal 4 binary64) (-.f64 z #s(literal 2 binary64))))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 z (-.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (.f64 (/.f64 (*.f64 z z) z) (/.f64 #s(literal 4 binary64) (-.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) z (*.f64 z z))
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(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (*.f64 y x))))
(/.f64 (neg.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 (neg.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z))))))
(/.f64 (neg.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))))) (-.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))) (.f64 (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)))) (.f64 (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 y x (.f64 #s(literal 3 binary64) (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (*.f64 y x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (.f64 #s(literal 3 binary64) (*.f64 z z)))))
(/.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 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z))))))
(/.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 (-.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 y x (.f64 #s(literal 3 binary64) (*.f64 z z))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (.f64 #s(literal 3 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (.f64 y x)) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z)))) (fma.f64 #s(literal -27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) #s(literal -1 binary64)))
(/.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 (neg.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z))))))
(/.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 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z)))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 y x) #s(literal -3 binary64)) (.f64 z z))))
(/.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)) (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)) (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 1 binary64)) (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 (.f64 #s(literal -3 binary64) z) z (.f64 y x))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))))
(fma.f64 (.f64 z z) #s(literal -3 binary64) (.f64 y x))
(fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 z (.f64 #s(literal -3 binary64) z) (.f64 y x))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))) (/.f64 (/.f64 (.f64 #s(literal 81 binary64) (pow.f64 z #s(literal 8 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))) (/.f64 (/.f64 (.f64 (pow.f64 z #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))))
(+.f64 (neg.f64 (.f64 (neg.f64 y) x)) (neg.f64 (.f64 #s(literal 3 binary64) (*.f64 z z))))
(+.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (neg.f64 (*.f64 (neg.f64 y) x)))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))) (neg.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 z z)) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 #s(literal -3 binary64) (*.f64 z z)))
(.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))

eval20.0ms (0.3%)

Memory: 21.0MiB live, 21.0MiB allocated
Compiler: Compiled 7 164 to 660 computations (90.8% saved)

prune101.0ms (1.5%)

Memory

-22.6MiB live, 14.0MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	191	5	196
Fresh	0	0	0
Picked	2	0	2
Done	0	5	5
Total	193	10	203

Accuracy

100.0%

Counts

203 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
	17.4%	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) #s(approx (+ ( x y) (* -3 (* z z))) (.f64 #s(literal -3 binary64) (.f64 z z))))
	17.1%	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
✓	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	56.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
	30.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (+.f64 #s(literal 2 binary64) z) z))
✓	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
	52.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
✓	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
	34.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (* 2 z)) (*.f64 z z)))

Compiler

Compiled 611 to 218 computations (64.3% saved)

regimes35.0ms (0.5%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (* 2 z)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (+.f64 #s(literal 2 binary64) z) z))
#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))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (*.f64 #s(literal 2 binary64) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.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 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) #s(approx (+ ( x y) (* -3 (* z z))) (.f64 #s(literal -3 binary64) (.f64 z z))))
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
(+.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y x))) (.f64 z z)) (*.f64 z z))
(+.f64 (+.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y x)))) (.f64 z z)) (.f64 z z))

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

Calls

6 calls:

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	z
6.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes47.0ms (0.7%)

Memory

-14.4MiB live, 23.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

28.0ms	(*.f64 z z)
4.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`z`
99.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.1%	1	`(*.f64 x y)`
99.1%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes66.0ms (1%)

Memory

-5.8MiB live, 33.2MiB allocated

Counts

9 → 1

Calls

Call 1

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

48.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(*.f64 x y)
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`z`
99.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.1%	1	`(*.f64 x y)`
99.1%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes74.0ms (1.1%)

Memory

-10.0MiB live, 38.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

6 calls:

59.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(*.f64 x y)
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
71.6%	3	`x`
71.2%	3	`y`
84.7%	2	`z`
79.9%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
74.6%	3	`(*.f64 x y)`
84.7%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes5.0ms (0.1%)

Memory

9.8MiB live, 9.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
84.6%	2	`z`
84.6%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes6.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (* 2 z)) (*.f64 z z)))

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

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

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (* 2 z)) (*.f64 z z)))

Calls

3 calls:

2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
2.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
68.2%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
73.2%	2	`z`
73.2%	2	`(*.f64 z z)`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes8.0ms (0.1%)

Memory

-17.3MiB live, 22.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (* 2 z)) (*.f64 z z)))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (* 2 z)) (*.f64 z z)))

Calls

6 calls:

2.0ms	z
1.0ms	x
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	y
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
34.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
34.1%	1	`y`
34.1%	1	`x`
34.1%	1	`(*.f64 x y)`
34.1%	1	`z`
34.1%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2589738364826315e+55	2.3708173318880427e+59

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.083711962430332e+63	3.4884496216053055e+66

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.50362863139034e+253	3.1968516908961806e+255

Compiler

Compiled 14 to 14 computations (0% saved)

simplify25.0ms (0.4%)

Memory

-13.0MiB live, 64.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	217
1	42	217

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.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)))
(if (<=.f64 (.f64 z z) #s(literal 40000000000000000409402680816342045985217552541298982912 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #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 99999999999999993635870693776759177364257073275700735648394407233581562780527075488933869945869475779810351826094056924551506641653143357437722624094200055601817197027212385681288624374039982763538319739206631507774359582937997162411679696940490282762240 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (* 2 z)) (*.f64 z z))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (* 2 z)) (*.f64 z z)))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(fma.f64 (.f64 z #s(literal 2 binary64)) z (fma.f64 z z (.f64 x y)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
#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 #s(literal 3 binary64) z) z (.f64 x y)))
(if (<=.f64 (.f64 z z) #s(literal 40000000000000000409402680816342045985217552541298982912 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 40000000000000000409402680816342045985217552541298982912 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #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 10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 99999999999999993635870693776759177364257073275700735648394407233581562780527075488933869945869475779810351826094056924551506641653143357437722624094200055601817197027212385681288624374039982763538319739206631507774359582937997162411679696940490282762240 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (* 2 z)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 99999999999999993635870693776759177364257073275700735648394407233581562780527075488933869945869475779810351826094056924551506641653143357437722624094200055601817197027212385681288624374039982763538319739206631507774359582937997162411679696940490282762240 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (* 2 z)) (*.f64 z z))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (* 2 z)) (*.f64 z z)))

soundness1.1s (16.1%)

Memory

27.0MiB live, 738.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	244	180
2	752	180
3	2132	180
4	5815	180
0	8129	161
0	28	114
0	43	104
1	168	85
2	1332	85
0	8542	81
0	22	103
0	36	110
1	152	86
2	1170	86
0	8300	86
0	98	323
1	301	279
2	882	279
3	3045	275
0	8281	253
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Compiler

Compiled 572 to 265 computations (53.7% saved)

preprocess66.0ms (1%)

Memory

8.1MiB live, 85.8MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 658 to 238 computations (63.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample939.0ms (14.1%)

explain330.0ms (5%)

preprocess72.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize24.0ms (0.4%)

series173.0ms (2.6%)

simplify257.0ms (3.9%)

rewrite312.0ms (4.7%)

eval69.0ms (1%)

prune28.0ms (0.4%)

simplify5.0ms (0.1%)

localize89.0ms (1.3%)

series8.0ms (0.1%)

simplify123.0ms (1.9%)

rewrite528.0ms (7.9%)

eval92.0ms (1.4%)

prune91.0ms (1.4%)

simplify158.0ms (2.4%)

localize81.0ms (1.2%)

series135.0ms (2%)

simplify226.0ms (3.4%)

rewrite308.0ms (4.6%)

eval262.0ms (3.9%)

prune40.0ms (0.6%)

simplify137.0ms (2.1%)

localize59.0ms (0.9%)

series12.0ms (0.2%)

simplify138.0ms (2.1%)

rewrite427.0ms (6.4%)

eval20.0ms (0.3%)

prune101.0ms (1.5%)

regimes35.0ms (0.5%)

regimes47.0ms (0.7%)

regimes66.0ms (1%)

regimes74.0ms (1.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify25.0ms (0.4%)

soundness1.1s (16.1%)

preprocess66.0ms (1%)

end0.0ms (0%)

Profiling