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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample565.0ms (19.4%)

Memory

226.3MiB live, 226.3MiB allocated

Samples

354.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 102.0ms (51.2% of total)

ival-add: 88.0ms (44.2% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain109.0ms (3.7%)

Memory

60.7MiB live, 60.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	24
↳	`(*.f64 z z)`	overflow	66
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	83
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	83
↳	`(*.f64 x y)`	overflow	24
↳	`(*.f64 z z)`	overflow	132
↳	`(*.f64 z z)`	overflow	66
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	83
↳	`(*.f64 x y)`	overflow	24
↳	`(*.f64 z z)`	overflow	66
↳	`(*.f64 z z)`	overflow	66

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	2
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 187 to 44 computations (76.5% saved)

Precisions

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

ival-mult: 7.0ms (54.5% of total)

ival-add: 6.0ms (46.7% of total)

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

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

preprocess66.0ms (2.3%)

Memory

6.6MiB live, 6.6MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify3.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB 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

localize18.0ms (0.6%)

Memory

8.7MiB live, 8.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.49999587166041165	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.6015583716604116	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.9023396216604117	(+.f64 (.f64 x y) (.f64 z z))

Samples

13.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

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

ival-add: 3.0ms (48.9% of total)

ival-mult: 3.0ms (48.9% of total)

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

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

series6.0ms (0.2%)

Memory

3.0MiB live, 3.0MiB 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))

simplify88.0ms (3%)

Memory

23.2MiB live, 23.2MiB 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))

rewrite153.0ms (5.3%)

Memory

54.4MiB live, 54.4MiB 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)

eval24.0ms (0.8%)

Memory: 21.3MiB live, 21.3MiB allocated
Compiler: Compiled 10 015 to 1 014 computations (89.9% saved)

prune6.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB 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
▶	99.2%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
▶	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	98.3%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
	98.2%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y x)))) (.f64 z z)) (*.f64 z z))
▶	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	61.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 180 to 116 computations (35.6% saved)

simplify4.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB 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

localize44.0ms (1.5%)

Memory

22.7MiB live, 22.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0.15625	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.49999449521112044	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.9960896216604116	(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	0.5351534976055602	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0.15625	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	24.468282368023218	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.01953125	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	0.5039007452111204	(fma.f64 z z (*.f64 y x))

Samples

32.0ms

256×

valid

Compiler

Compiled 269 to 45 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 11.0ms (60.1% of total)

ival-add: 7.0ms (38.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.3%)

Memory

5.0MiB live, 5.0MiB 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))))

simplify88.0ms (3%)

Memory

24.7MiB live, 24.7MiB 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))

rewrite141.0ms (4.9%)

Memory

65.5MiB live, 65.5MiB 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)))

eval26.0ms (0.9%)

Memory: 22.7MiB live, 22.7MiB allocated
Compiler: Compiled 9 678 to 885 computations (90.9% saved)

prune8.0ms (0.3%)

Memory

14.5MiB live, 14.5MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	336	3	339
Fresh	1	0	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 (.f64 #s(literal 2 binary64) z) z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 x y)))))
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	61.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	61.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	61.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 113 to 67 computations (40.7% saved)

simplify6.0ms (0.2%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x y)))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	384	(fma.f64 (.f64 #s(literal 2 binary64) z) z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 x y)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x y))))
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	120
0	37	98
1	65	92
2	84	92
3	98	92
4	110	92
5	120	92
6	121	92
0	121	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (1.4%)

Memory

20.5MiB live, 20.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 (.f64 #s(literal 2 binary64) z) z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 x y)))))
accuracy	0.2017338132413075	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x y))))
accuracy	0.5039007452111204	(fma.f64 z z (*.f64 x y))
accuracy	0.5610076015715146	(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x y)))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.05078125	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	24.468282368023218	#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	0.13671875	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	24.468282368023218	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Samples

30.0ms

256×

valid

Compiler

Compiled 233 to 48 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 9.0ms (46.4% of total)

ival-add: 7.0ms (36.1% of total)

ival-div: 3.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.4%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

12 → 44

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

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))
(/ 1 (pow z 2))
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2)))
(+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(/ 1 (* x y))
(/ (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2)))) x)
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 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 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x))
(+ (* y (- (/ (* (pow x 2) y) (pow z 6)) (/ x (pow z 4)))) (/ 1 (pow z 2)))
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 8))) (* -1 (/ (pow x 2) (pow z 6))))) (/ x (pow z 4)))) (/ 1 (pow z 2)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(/ (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (/ 1 x) (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y))) y)
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y)))) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* (pow x 3) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (/ (pow z 4) (pow x 3))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 3 z)
(* 2 z)
(+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2))
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2))

Calls

9 calls:

Time	Variable		Point	Expression
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) (/ 1 (/ 1 (+ (* z z) (* x y)))) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* x y))))) (* 2 z) (/ 1 (+ (* z z) (* x y))) (+ (* z z) (* x y)))
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) (/ 1 (/ 1 (+ (* z z) (* x y)))) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* x y))))) (* 2 z) (/ 1 (+ (* z z) (* x y))) (+ (* z z) (* x y)))
1.0ms	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) (/ 1 (/ 1 (+ (* z z) (* x y)))) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* x y))))) (* 2 z) (/ 1 (+ (* z z) (* x y))) (+ (* z z) (* x y)))
1.0ms	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) (/ 1 (/ 1 (+ (* z z) (* x y)))) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* x y))))) (* 2 z) (/ 1 (+ (* z z) (* x y))) (+ (* z z) (* x y)))
1.0ms	x	@	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) (/ 1 (/ 1 (+ (* z z) (* x y)))) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* x y))))) (* 2 z) (/ 1 (+ (* z z) (* x y))) (+ (* z z) (* x y)))

simplify124.0ms (4.3%)

Memory

40.6MiB live, 40.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	808
1	672	772
2	1993	746
3	7151	736
0	8354	712

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

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

rewrite46.0ms (1.6%)

Memory

11.6MiB live, 11.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	109
0	37	87
1	160	81
0	1319	78

Stop Event

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

Counts

12 → 320

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

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

eval25.0ms (0.9%)

Memory: 19.4MiB live, 19.4MiB allocated
Compiler: Compiled 5 799 to 757 computations (86.9% saved)

prune9.0ms (0.3%)

Memory

10.0MiB live, 10.0MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	0	0	0
Picked	1	2	3
Done	1	2	3
Total	238	6	244

Accuracy

100.0%

Counts

244 → 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)))
✓	61.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	89.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
✓	61.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
▶	45.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
✓	61.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 119 to 67 computations (43.7% saved)

simplify147.0ms (5.1%)

Memory

37.7MiB live, 37.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
cost-diff	704	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
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	16	80
0	22	80
1	36	76
2	63	68
3	110	68
4	193	66
5	253	66
6	534	66
7	1278	66
8	2549	66
9	4419	66
10	4621	66
11	4714	66
12	4722	66
13	4722	66
0	9635	62

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

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

localize37.0ms (1.3%)

Memory

13.2MiB live, 13.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
accuracy	0.08203125	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
accuracy	4.962474083527668	(/.f64 (*.f64 z z) y)
accuracy	6.371822197618588	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
accuracy	0	(*.f64 y x)
accuracy	34.94367301992368	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Samples

27.0ms

256×

valid

Compiler

Compiled 149 to 32 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (50.4% of total)

ival-add: 5.0ms (31.5% of total)

ival-div: 2.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.4%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

6 → 22

Calls

Call 1

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

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

Calls

9 calls:

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

simplify102.0ms (3.5%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	216
1	227	172
2	686	172
3	2691	172
4	6806	172
0	8207	156

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

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

rewrite158.0ms (5.4%)

Memory

51.8MiB live, 51.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	71
0	22	71
1	90	67
2	767	59
0	8768	57

Stop Event

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

Counts

6 → 152

Calls

Call 1

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

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

eval21.0ms (0.7%)

Memory: 14.0MiB live, 14.0MiB allocated
Compiler: Compiled 6 140 to 638 computations (89.6% saved)

prune9.0ms (0.3%)

Memory

8.7MiB live, 8.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	161	6	167

Accuracy

100.0%

Counts

167 → 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)))
✓	61.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	61.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
	51.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y))
✓	45.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
✓	61.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 373 to 125 computations (66.5% saved)

regimes31.0ms (1.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

13 → 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)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 x y)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y x)))) (.f64 z z)) (*.f64 z z))

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

Calls

6 calls:

5.0ms	x
5.0ms	y
5.0ms	z
5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
5.0ms	(*.f64 x y)

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes22.0ms (0.7%)

Memory

11.4MiB live, 11.4MiB 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:

4.0ms	x
4.0ms	y
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	z
3.0ms	(*.f64 x y)

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes17.0ms (0.6%)

Memory

10.1MiB live, 10.1MiB 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:

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

Results

Accuracy	Segments	Branch
69.6%	3	`x`
74.5%	3	`y`
87.9%	2	`z`
83.1%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
77.6%	3	`(*.f64 x y)`
87.9%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes5.0ms (0.2%)

Memory

3.2MiB live, 3.2MiB 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 (.f64 #s(literal 3 binary64) z) z))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.8%	2	`z`
87.8%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes4.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 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)))

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:

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

Results

Accuracy	Segments	Branch
87.8%	2	`z`
87.8%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes11.0ms (0.4%)

Memory

8.5MiB live, 8.5MiB 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:

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

Results

Accuracy	Segments	Branch
45.4%	1	`x`
45.4%	1	`y`
45.4%	1	`(*.f64 x y)`
45.4%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
45.4%	1	`z`
45.4%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.449201259371987e-108	2.553514074276375e-104

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.449201259371987e-108	2.553514074276375e-104

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch13.0ms (0.5%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.449201259371987e-108	2.553514074276375e-104

Samples

6.0ms	121×	0	valid
1.0ms	5×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 318 to 198 computations (37.7% saved)

Precisions

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

ival-add: 2.0ms (59.4% of total)

ival-mult: 1.0ms (29.7% of total)

adjust: 0.0ms (0% of total)

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

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

simplify29.0ms (1%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	195
1	38	195

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 3305279843951243/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256 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 3305279843951243/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256 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 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 3140015851753681/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 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 3305279843951243/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256 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 3305279843951243/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256 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 3305279843951243/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256 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 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 3305279843951243/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256 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 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 3140015851753681/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 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 3140015851753681/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 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))

soundness611.0ms (21%)

Memory

5.9MiB live, 5.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	244	180
2	752	180
3	2132	180
4	5815	180
0	8129	161
0	220	808
1	672	772
2	1993	746
3	7151	736
0	8354	712
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23
0	22	103
0	36	110
1	152	86
2	1170	86
0	8300	86

Stop Event

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

Compiler

Compiled 425 to 186 computations (56.2% saved)

preprocess59.0ms (2%)

Memory

31.7MiB live, 31.7MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 614 to 226 computations (63.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample565.0ms (19.4%)

explain109.0ms (3.7%)

preprocess66.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.6%)

series6.0ms (0.2%)

simplify88.0ms (3%)

rewrite153.0ms (5.3%)

eval24.0ms (0.8%)

prune6.0ms (0.2%)

simplify4.0ms (0.1%)

localize44.0ms (1.5%)

series7.0ms (0.3%)

simplify88.0ms (3%)

rewrite141.0ms (4.9%)

eval26.0ms (0.9%)

prune8.0ms (0.3%)

simplify6.0ms (0.2%)

localize42.0ms (1.4%)

series10.0ms (0.4%)

simplify124.0ms (4.3%)

rewrite46.0ms (1.6%)

eval25.0ms (0.9%)

prune9.0ms (0.3%)

simplify147.0ms (5.1%)

localize37.0ms (1.3%)

series11.0ms (0.4%)

simplify102.0ms (3.5%)

rewrite158.0ms (5.4%)

eval21.0ms (0.7%)

prune9.0ms (0.3%)

regimes31.0ms (1.1%)

regimes22.0ms (0.7%)

regimes17.0ms (0.6%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes11.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.5%)

simplify29.0ms (1%)

soundness611.0ms (21%)

preprocess59.0ms (2%)

end0.0ms (0%)

Profiling