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

0.8MiB live, 0.8MiB 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)

sample2.0s (26%)

Memory

2.0MiB live, 954.6MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 733.0ms

ival-add: 571.0ms (77.9% of total)

ival-mult: 153.0ms (20.9% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain222.0ms (2.9%)

Memory

-4.3MiB live, 272.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
2	-	-	`(+.f64 (.f64 x y) (.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 (+.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	82
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	82
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 z z)`	overflow	110
↳	`(*.f64 z z)`	overflow	55
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 z z)`	overflow	55
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	82
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 z z)`	overflow	55
↳	`(*.f64 z z)`	overflow	55

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 187 to 44 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 30.0ms (79.2% of total)

ival-add: 7.0ms (18.5% of total)

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

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

preprocess80.0ms (1%)

Memory

-5.8MiB live, 35.5MiB 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

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(+.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

4.9MiB live, 4.9MiB 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 (0.3%)

Memory

10.8MiB live, 44.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.5078083716604116	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.5078083716604116	(+.f64 (.f64 x y) (.f64 z z))
accuracy	0.5703083716604116	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.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: 7.0ms

ival-mult: 4.0ms (58.2% of total)

ival-add: 3.0ms (43.6% of total)

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

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

series7.0ms (0.1%)

Memory

15.5MiB live, 15.6MiB allocated

Counts

4 → 24

Calls

Call 1

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

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

Calls

9 calls:

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

simplify176.0ms (2.3%)

Memory

-25.4MiB live, 131.2MiB 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))

rewrite344.0ms (4.5%)

Memory

-19.3MiB live, 208.0MiB 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)

eval74.0ms (1%)

Memory: 4.6MiB live, 41.7MiB allocated
Compiler: Compiled 10 015 to 1 014 computations (89.9% saved)

prune7.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	325	6	331
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	326	6	332

Accuracy

100.0%

Counts

332 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(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)))
▶	99.1%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
	39.0%	(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))) (-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z))))
▶	99.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	53.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 198 to 120 computations (39.4% saved)

simplify5.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB 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

localize154.0ms (2%)

Memory

-22.7MiB live, 59.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0.14453125	(.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	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.5820271216604116	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
accuracy	0.06640625	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0.14453125	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	29.97789160351092	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0	(fma.f64 z z (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.02734375	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))

Samples

35.0ms

256×

valid

Compiler

Compiled 269 to 45 computations (83.3% saved)

Precisions

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

ival-mult: 12.0ms (58% of total)

ival-add: 8.0ms (38.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB 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))))

simplify164.0ms (2.2%)

Memory

-0.1MiB live, 149.6MiB 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))

rewrite380.0ms (5%)

Memory

22.0MiB live, 247.6MiB 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)))

eval158.0ms (2.1%)

Memory: -40.7MiB live, 106.1MiB allocated
Compiler: Compiled 9 678 to 885 computations (90.9% saved)

prune10.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	337	2	339
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	339	6	345

Accuracy

100.0%

Counts

345 → 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)))
▶	39.0%	(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))) (-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z))))
✓	99.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	53.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	53.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	53.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 125 to 69 computations (44.8% saved)

simplify412.0ms (5.4%)

Memory

-18.0MiB live, 136.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff	128	(-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z)))
cost-diff	128	(-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
cost-diff	14336	(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))) (-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z))))
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	24	155
0	38	139
1	78	131
2	194	125
3	645	109
4	2498	107
5	4998	107
0	8236	102

Stop Event

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

Calls

Call 1

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

localize128.0ms (1.7%)

Memory

-4.0MiB live, 112.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.23408129884221007	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	0.7539000574906174	(-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z)))
accuracy	5.792935723283294	(-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
accuracy	35.7796067460041	(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))) (-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z))))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.05859375	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	29.97789160351092	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.12890625	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	29.97789160351092	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Samples

109.0ms

256×

valid

Compiler

Compiled 298 to 48 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 33.0ms (46% of total)

ival-pow2: 29.0ms (40.5% of total)

ival-add: 5.0ms (7% of total)

ival-sub: 2.0ms (2.8% of total)

ival-div: 2.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.3%)

Memory

15.5MiB live, 50.9MiB allocated

Counts

11 → 32

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 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))) (-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z))))
(-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 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))
(- (* x y) (* 3 (pow z 2)))
(* (pow x 2) (pow y 2))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* (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)))))
(* 3 z)
(pow z 2)
(* 2 z)
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(+ (* -3 (pow z 2)) (* x y))
(* (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
5.0ms	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 (* y x) 2) (* (* 3 (* z z)) (* 3 (* z z)))) (- (* y x) (* 3 (* z z)))) (- (pow (* y x) 2) (* (* 3 (* z z)) (* 3 (* z z)))) (- (* y x) (* 3 (* z z))) (pow (* y x) 2))
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 (* y x) 2) (* (* 3 (* z z)) (* 3 (* z z)))) (- (* y x) (* 3 (* z z)))) (- (pow (* y x) 2) (* (* 3 (* z z)) (* 3 (* z z)))) (- (* y x) (* 3 (* z z))) (pow (* y x) 2))
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 (* y x) 2) (* (* 3 (* z z)) (* 3 (* z z)))) (- (* y x) (* 3 (* z z)))) (- (pow (* y x) 2) (* (* 3 (* z z)) (* 3 (* z z)))) (- (* y x) (* 3 (* z z))) (pow (* y x) 2))
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 (* y x) 2) (* (* 3 (* z z)) (* 3 (* z z)))) (- (* y x) (* 3 (* z z)))) (- (pow (* y x) 2) (* (* 3 (* z z)) (* 3 (* z z)))) (- (* y x) (* 3 (* z z))) (pow (* y x) 2))
2.0ms	y	@	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 (* y x) 2) (* (* 3 (* z z)) (* 3 (* z z)))) (- (* y x) (* 3 (* z z)))) (- (pow (* y x) 2) (* (* 3 (* z z)) (* 3 (* z z)))) (- (* y x) (* 3 (* z z))) (pow (* y x) 2))

simplify197.0ms (2.6%)

Memory

-3.6MiB live, 123.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	322
1	286	278
2	855	278
3	2867	274
4	7703	274
0	8212	251

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

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

rewrite633.0ms (8.3%)

Memory

25.2MiB live, 256.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	125
0	38	107
1	171	83
2	1388	83
0	8488	78

Stop Event

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

Counts

11 → 946

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 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))) (-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z))))
(-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))

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

eval123.0ms (1.6%)

Memory: -7.6MiB live, 196.8MiB allocated
Compiler: Compiled 35 659 to 2 951 computations (91.7% saved)

prune80.0ms (1%)

Memory

-25.1MiB live, 50.4MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	902	2	904
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	903	7	910

Accuracy

100.0%

Counts

910 → 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)))
▶	39.2%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)) (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))) (-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (.f64 z z))))
✓	99.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	53.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	53.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
▶	54.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
✓	53.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 144 to 80 computations (44.4% saved)

simplify398.0ms (5.2%)

Memory

31.9MiB live, 111.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
cost-diff	64	(.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)) (fma.f64 #s(literal -3 binary64) (.f64 z z) (*.f64 y x)))
cost-diff	128	(-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z)))
cost-diff	3008	(/.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)) (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))) (-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (.f64 z z))))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
0	33	92
1	66	90
2	147	85
3	450	85
4	1988	85
5	5851	85
0	8687	84

Stop Event

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

Calls

Call 1

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

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

localize153.0ms (2%)

Memory

-10.3MiB live, 59.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.19826127930532605	(.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)) (fma.f64 #s(literal -3 binary64) (.f64 z z) (*.f64 y x)))
accuracy	0.7539000574906174	(-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z)))
accuracy	0.8281188074906174	(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
accuracy	35.7796067460041	(/.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)) (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))) (-.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (.f64 z z))))
accuracy	0	(*.f64 y x)
accuracy	29.40563653834479	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Samples

60.0ms

256×

valid

Compiler

Compiled 228 to 42 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 34.0ms (69.6% of total)

ival-mult: 12.0ms (24.6% of total)

ival-div: 2.0ms (4.1% of total)

ival-sub: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

-2.0MiB live, 35.4MiB allocated

Counts

7 → 52

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (/ (* (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x))) (- (* y x) (* 3 (* z z)))) (- (* y x) (* 3 (* z z))) (* (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x))) (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x)))
4.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (/ (* (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x))) (- (* y x) (* 3 (* z z)))) (- (* y x) (* 3 (* z z))) (* (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x))) (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x)))
2.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (/ (* (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x))) (- (* y x) (* 3 (* z z)))) (- (* y x) (* 3 (* z z))) (* (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x))) (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x)))
2.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (/ (* (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x))) (- (* y x) (* 3 (* z z)))) (- (* y x) (* 3 (* z z))) (* (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x))) (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x)))
2.0ms	y	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (/ (* (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x))) (- (* y x) (* 3 (* z z)))) (- (* y x) (* 3 (* z z))) (* (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x))) (+ (* (* 3 z) z) (* y x)) (+ (* -3 (* z z)) (* y x)))

simplify269.0ms (3.5%)

Memory

6.7MiB live, 227.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	928
1	989	750
2	3657	666
0	8751	628

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

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

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

rewrite160.0ms (2.1%)

Memory

2.1MiB live, 235.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	33	71
1	150	63
2	1311	63
0	8454	61

Stop Event

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

Counts

7 → 598

Calls

Call 1

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

eval62.0ms (0.8%)

Memory: -8.0MiB live, 70.5MiB allocated
Compiler: Compiled 22 722 to 1 453 computations (93.6% saved)

prune33.0ms (0.4%)

Memory

-9.6MiB live, 28.8MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	463	1	464
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	464	7	471

Accuracy

100.0%

Counts

471 → 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)))
	24.0%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)) (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))) #s(approx (- ( y x) (* 3 (* z z))) (.f64 #s(literal -3 binary64) (.f64 z z))))
✓	99.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	53.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	53.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	54.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
✓	53.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 388 to 133 computations (65.7% saved)

regimes30.0ms (0.4%)

Memory

10.0MiB live, 45.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes21.0ms (0.3%)

Memory

-3.5MiB live, 32.2MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#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)))
#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 (+.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
#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:

6.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	x
3.0ms	z
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.9%	1	`(*.f64 x y)`
99.9%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes13.0ms (0.2%)

Memory

27.5MiB live, 27.5MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#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)))
#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 (+.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:

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

Results

Accuracy	Segments	Branch
69.4%	3	`x`
71.9%	3	`y`
84.3%	2	`z`
77.2%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
77.4%	3	`(*.f64 x y)`
84.3%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes41.0ms (0.5%)

Memory

-45.1MiB live, 13.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#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)))

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

Calls

2 calls:

39.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
84.3%	2	`z`
84.3%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes8.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB 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)) (*.f64 y x))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
54.1%	1	`x`
54.1%	1	`y`
54.1%	1	`(*.f64 x y)`
54.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
54.1%	1	`z`
54.1%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.435519144322992e+24	2.9922635005010357e+26

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.435519144322992e+24	2.9922635005010357e+26

Compiler

Compiled 14 to 14 computations (0% saved)

simplify27.0ms (0.4%)

Memory

-5.8MiB live, 32.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	149
1	32	149

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000452984832 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 5000000000000000452984832 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))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

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)))
#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 5000000000000000452984832 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 5000000000000000452984832 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 5000000000000000452984832 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 5000000000000000452984832 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))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

soundness923.0ms (12.2%)

Memory

5.0MiB live, 475.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	103
0	36	110
1	152	86
2	1170	86
0	8300	86
0	93	322
1	286	278
2	855	278
3	2867	274
4	7703	274
0	8212	251
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23
0	70	208
1	244	180
2	752	180
3	2132	180
4	5815	180
0	8129	161

Stop Event

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

Compiler

Compiled 324 to 141 computations (56.5% saved)

preprocess45.0ms (0.6%)

Memory

12.7MiB live, 87.0MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 522 to 216 computations (58.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.0s (26%)

explain222.0ms (2.9%)

preprocess80.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize24.0ms (0.3%)

series7.0ms (0.1%)

simplify176.0ms (2.3%)

rewrite344.0ms (4.5%)

eval74.0ms (1%)

prune7.0ms (0.1%)

simplify5.0ms (0.1%)

localize154.0ms (2%)

series9.0ms (0.1%)

simplify164.0ms (2.2%)

rewrite380.0ms (5%)

eval158.0ms (2.1%)

prune10.0ms (0.1%)

simplify412.0ms (5.4%)

localize128.0ms (1.7%)

series20.0ms (0.3%)

simplify197.0ms (2.6%)

rewrite633.0ms (8.3%)

eval123.0ms (1.6%)

prune80.0ms (1%)

simplify398.0ms (5.2%)

localize153.0ms (2%)

series19.0ms (0.3%)

simplify269.0ms (3.5%)

rewrite160.0ms (2.1%)

eval62.0ms (0.8%)

prune33.0ms (0.4%)

regimes30.0ms (0.4%)

regimes21.0ms (0.3%)

regimes13.0ms (0.2%)

regimes41.0ms (0.5%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.4%)

soundness923.0ms (12.2%)

preprocess45.0ms (0.6%)

end0.0ms (0%)

Profiling