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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample1.3s (17.4%)

Memory

-6.7MiB live, 1 272.4MiB allocated

Samples

910.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 570.0ms

ival-mult: 449.0ms (78.7% of total)

ival-add: 112.0ms (19.6% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain120.0ms (1.6%)

Memory

40.1MiB live, 229.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
1	-	-	`(+.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	3	0
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	67
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	91
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	91
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	134
↳	`(*.f64 z z)`	overflow	67
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	91
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	67
↳	`(*.f64 z z)`	overflow	67

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	2
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 15.0ms (65.5% of total)

ival-mult: 7.0ms (30.6% of total)

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

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

preprocess131.0ms (1.8%)

Memory

-18.4MiB live, 125.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify120.0ms (1.6%)

Memory

-1.8MiB live, 44.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.5%)

Memory

-25.4MiB live, 71.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.2539041858302058	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.3124979358302058	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.6562479358302059	(+.f64 (.f64 x y) (.f64 z z))

Samples

19.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

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

ival-mult: 7.0ms (62% of total)

ival-add: 4.0ms (35.4% of total)

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

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

series11.0ms (0.2%)

Memory

37.9MiB live, 37.9MiB 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
5.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))
1.0ms	z	@	inf	((+ (+ (+ (* 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))

simplify160.0ms (2.2%)

Memory

-41.3MiB live, 180.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite205.0ms (2.8%)

Memory

-7.7MiB live, 323.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 244

Calls

Call 1

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

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

eval55.0ms (0.7%)

Memory: 7.1MiB live, 62.1MiB allocated
Compiler: Compiled 8 183 to 794 computations (90.3% saved)

prune30.0ms (0.4%)

Memory

-24.9MiB live, 22.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

252 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.6%	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
▶	98.7%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
	26.0%	(+.f64 (fma.f64 z z (/.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 y x)) (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 y x)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))))
▶	99.5%	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 2 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)))
▶	52.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 270 to 140 computations (48.1% saved)

simplify40.0ms (0.5%)

Memory

23.3MiB live, 68.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	170
0	39	164
1	80	156
2	228	148
3	653	148
4	1253	148
5	1532	148
6	1792	148
7	1913	148
8	2017	148
0	2017	147

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64)))) (*.f64 z z))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64))))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
y
x
(.f64 (.f64 z z) #s(literal 2 binary64))
(*.f64 z z)
z
#s(literal 2 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 z z))
#s(literal 3 binary64)
(*.f64 z z)
z
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
z
(fma.f64 y x #s(literal 0 binary64))
y
x
#s(literal 0 binary64)
#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

Outputs
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64)))) (*.f64 z z))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64))))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))
y
x
(.f64 (.f64 z z) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 z z))
(*.f64 z z)
z
#s(literal 2 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 z z))
#s(literal 3 binary64)
(*.f64 z z)
z
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 z z (*.f64 y x))
z
(fma.f64 y x #s(literal 0 binary64))
(*.f64 y x)
y
x
#s(literal 0 binary64)
#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))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
y
x

localize77.0ms (1.1%)

Memory

17.6MiB live, 116.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 y x)
accuracy	0.7031229358302059	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
accuracy	0.5585882452111204	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
accuracy	0.0	(fma.f64 y x #s(literal 0 binary64))
accuracy	0.5039007452111204	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
accuracy	0.0	(*.f64 z z)
accuracy	0.16015625	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	30.055758928345163	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0.0	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64))))
accuracy	0.01953125	(.f64 (.f64 z z) #s(literal 2 binary64))
accuracy	0.2578097476055602	(fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
accuracy	0.3124979358302058	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64)))) (*.f64 z z))

Samples

64.0ms

256×

valid

Compiler

Compiled 145 to 23 computations (84.1% saved)

Precisions

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

ival-add: 27.0ms (71.5% of total)

ival-mult: 10.0ms (26.5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-21.1MiB live, 23.9MiB allocated

Counts

14 → 29

Calls

Call 1

Inputs
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64)))) (*.f64 z z))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64))))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
(.f64 (.f64 z z) #s(literal 2 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 z z)
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(*.f64 #s(literal 3 binary64) z)
(*.f64 y x)
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(pow z 2)
(+ (* x y) (pow z 2))
(* 3 (pow z 2))
(+ (* 3 (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)))
(* x (+ y (* 3 (/ (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)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (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 (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* 3 z)
(* (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
5.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* y x) (* (* z z) 2)) (* (* z z) 2) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* y x) (* (* z z) 2)) (* (* z z) 2) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* y x) (* (* z z) 2)) (* (* z z) 2) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* y x) (* (* z z) 2)) (* (* z z) 2) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)))
1.0ms	y	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* y x) (* (* z z) 2)) (* (* z z) 2) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)))

simplify144.0ms (2%)

Memory

4.7MiB live, 206.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	263
1	340	219
2	1154	219
3	4496	219
0	8274	196

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

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

rewrite378.0ms (5.2%)

Memory

-17.2MiB live, 449.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
0	39	137
1	189	129
2	1591	129
0	8355	126

Stop Event

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

Counts

14 → 2 041

Calls

Call 1

Inputs
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64)))) (*.f64 z z))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64))))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
(.f64 (.f64 z z) #s(literal 2 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 z z)
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(*.f64 #s(literal 3 binary64) z)
(*.f64 y x)
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))

Outputs
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 z)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 z)) z) (.f64 (neg.f64 (neg.f64 z)) z)) (.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 (neg.f64 (neg.f64 z)) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 z z) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 (neg.f64 z) z))))))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (.f64 z z))) (.f64 (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (.f64 z z)) (-.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 z z))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64))) (pow.f64 z #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64))) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64))) (-.f64 (.f64 z z) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 (neg.f64 z) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 z z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 z z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 z z)))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 z z)))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))))
(fma.f64 (neg.f64 z) (neg.f64 z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 z z) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))))) (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (-.f64 (.f64 z z) #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (.f64 (neg.f64 z) z))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 (neg.f64 z) z))))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 z z))))
(-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 (neg.f64 z) z))
(+.f64 (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (.f64 z z))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 z z))))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (.f64 z z))))) (/.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 z z))))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x)))) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (.f64 z z))) (/.f64 (.f64 (.f64 (neg.f64 z) z) (.f64 z z)) (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))) (*.f64 z z))))
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(+.f64 (.f64 y x) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 3 binary64) (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z)))
(+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 (neg.f64 (neg.f64 y)) x))
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eval315.0ms (4.3%)

Memory: 67.0MiB live, 562.0MiB allocated
Compiler: Compiled 51 005 to 4 192 computations (91.8% saved)

prune129.0ms (1.8%)

Memory

-10.7MiB live, 131.9MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 614	5	1 619
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 618	7	1 625

Accuracy

100.0%

Counts

1 625 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.6%	(fma.f64 z z (*.f64 y x))
✓	98.7%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
▶	53.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	52.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	43.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
▶	33.2%	#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Compiler

Compiled 201 to 127 computations (36.8% saved)

simplify42.0ms (0.6%)

Memory

-0.5MiB live, 41.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	143
0	40	137
1	74	131
2	201	119
3	520	119
4	1050	119
5	1380	119
6	1662	119
7	1792	119
8	1912	119
0	1912	119

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize111.0ms (1.5%)

Memory

-15.7MiB live, 85.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 z #s(literal 4 binary64))
accuracy	0.06640625	(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
accuracy	15.892730625587944	(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
accuracy	30.055758928345163	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
accuracy	0.0	(*.f64 y x)
accuracy	0.5039007452111204	(fma.f64 z z (*.f64 y x))
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.109375	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	30.055758928345163	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
accuracy	0.0	(*.f64 z z)
accuracy	30.073030140504642	#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
accuracy	0.16015625	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.24999724760556022	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))

Samples

83.0ms

256×

valid

Compiler

Compiled 121 to 25 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-pow: 48.0ms (70.1% of total)

ival-mult: 11.0ms (16.1% of total)

ival-add: 7.0ms (10.2% of total)

ival-sqrt: 2.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

14 → 24

Calls

Call 1

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

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (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 (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* 3 z)
(* 9 (pow z 4))
(pow z 4)
(* (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
2.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (* z z) (+ (* y x) 0)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4))
2.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (* z z) (+ (* y x) 0)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4))
1.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (* z z) (+ (* y x) 0)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4))
1.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (* z z) (+ (* y x) 0)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4))
1.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (* z z) (+ (* y x) 0)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4))

simplify120.0ms (1.6%)

Memory

37.5MiB live, 171.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	212
1	281	168
2	953	168
3	3803	168
0	8267	151

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

rewrite326.0ms (4.5%)

Memory

-37.2MiB live, 602.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	127
0	40	119
1	169	113
2	1324	113
0	8188	110

Stop Event

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

Counts

14 → 1 226

Calls

Call 1

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

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

eval272.0ms (3.7%)

Memory: 1.3MiB live, 335.7MiB allocated
Compiler: Compiled 30 182 to 2 602 computations (91.4% saved)

prune49.0ms (0.7%)

Memory

-18.0MiB live, 80.1MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 161	1	1 162
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	1 162	7	1 169

Accuracy

100.0%

Counts

1 169 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.6%	(fma.f64 z z (*.f64 y x))
✓	98.7%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	90.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) z)) (sqrt.f64 (.f64 #s(literal 3 binary64) z)) (*.f64 y x)))
✓	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
✓	53.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	52.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	33.2%	#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Compiler

Compiled 125 to 77 computations (38.4% saved)

simplify67.0ms (0.9%)

Memory

40.7MiB live, 80.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	85
0	28	85
1	56	83
2	146	71
3	402	71
4	902	71
5	1419	71
6	2155	71
7	2603	71
8	2747	71
9	2763	71
10	2771	71
11	2771	71
0	2771	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.7%)

Memory

-10.2MiB live, 135.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(sqrt.f64 (*.f64 #s(literal 3 binary64) z))
accuracy	0.16015625	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.44921875000000006	(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) z)) (sqrt.f64 (.f64 #s(literal 3 binary64) z)) (*.f64 y x))
accuracy	19.54379889662159	(sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) (*.f64 z z)) z))

Samples

39.0ms

256×

valid

Compiler

Compiled 71 to 19 computations (73.2% saved)

Precisions

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

ival-mult: 13.0ms (61.3% of total)

ival-add: 4.0ms (18.9% of total)

ival-sqrt: 3.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (0.9%)

Memory

-25.3MiB live, 20.5MiB allocated

Counts

6 → 24

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
53.0ms	z	@	inf	((* (* 3 (* z z)) z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (sqrt (* (* 3 (* z z)) z)) (sqrt (* 3 z))) (* y x)) (sqrt (* (* 3 (* z z)) z)) (* 3 (* z z)) (sqrt (* 3 z)))
3.0ms	z	@	0	((* (* 3 (* z z)) z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (sqrt (* (* 3 (* z z)) z)) (sqrt (* 3 z))) (* y x)) (sqrt (* (* 3 (* z z)) z)) (* 3 (* z z)) (sqrt (* 3 z)))
3.0ms	z	@	-inf	((* (* 3 (* z z)) z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (sqrt (* (* 3 (* z z)) z)) (sqrt (* 3 z))) (* y x)) (sqrt (* (* 3 (* z z)) z)) (* 3 (* z z)) (sqrt (* 3 z)))
1.0ms	x	@	0	((* (* 3 (* z z)) z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (sqrt (* (* 3 (* z z)) z)) (sqrt (* 3 z))) (* y x)) (sqrt (* (* 3 (* z z)) z)) (* 3 (* z z)) (sqrt (* 3 z)))
1.0ms	x	@	-inf	((* (* 3 (* z z)) z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (sqrt (* (* 3 (* z z)) z)) (sqrt (* 3 z))) (* y x)) (sqrt (* (* 3 (* z z)) z)) (* 3 (* z z)) (sqrt (* 3 z)))

simplify158.0ms (2.2%)

Memory

11.9MiB live, 188.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	231
1	269	213
2	973	213
3	4124	213
0	8099	199

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

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

rewrite408.0ms (5.6%)

Memory

-0.6MiB live, 363.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	72
0	27	72
1	116	62
2	902	50
0	8980	43

Stop Event

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

Counts

6 → 220

Calls

Call 1

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

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

eval75.0ms (1%)

Memory: 25.4MiB live, 114.8MiB allocated
Compiler: Compiled 9 289 to 877 computations (90.6% saved)

prune12.0ms (0.2%)

Memory

-22.0MiB live, 37.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	238	1	239
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	238	8	246

Accuracy

100.0%

Counts

246 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.6%	(fma.f64 z z (*.f64 y x))
✓	98.7%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
✓	90.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) z)) (sqrt.f64 (.f64 #s(literal 3 binary64) z)) (*.f64 y x)))
✓	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
✓	53.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
	53.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
✓	52.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	33.2%	#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Compiler

Compiled 431 to 148 computations (65.7% saved)

regimes80.0ms (1.1%)

Memory

-1.3MiB live, 89.6MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

38.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
25.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.5%	1	`(*.f64 z z)`
99.5%	1	`(*.f64 x y)`
99.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes33.0ms (0.4%)

Memory

-11.6MiB live, 33.4MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 z z (*.f64 y x))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))

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

Calls

6 calls:

20.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
87.5%	4	`(*.f64 z z)`
87.0%	3	`(*.f64 x y)`
81.8%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
78.6%	1	`x`
85.8%	3	`y`
87.5%	4	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes8.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

4 → 4

Calls

Call 1

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

4 calls:

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

Results

Accuracy	Segments	Branch
72.6%	3	`y`
86.7%	4	`(*.f64 z z)`
86.7%	4	`z`
75.4%	3	`(*.f64 x y)`

Compiler

Compiled 8 to 14 computations (-75% saved)

regimes3.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs

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

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

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #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)))
#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
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
86.7%	4	`(*.f64 z z)`
86.7%	4	`z`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes25.0ms (0.3%)

Memory

-42.8MiB live, 16.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

Calls

4 calls:

21.0ms	(*.f64 z z)
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
57.7%	3	`x`
70.7%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
76.4%	2	`(*.f64 z z)`
76.4%	2	`z`

Compiler

Compiled 20 to 18 computations (10% saved)

regimes6.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
33.2%	1	`x`
33.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
33.2%	1	`y`
33.2%	1	`(*.f64 x y)`
33.2%	1	`(*.f64 z z)`
33.2%	1	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1016877098567216e-262	1.0489290865518763e-250
0.0ms	-1.1818966459132221e-41	-3.099154155216997e-47

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch64.0ms (0.9%)

Memory

-26.2MiB live, 63.9MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.8959955637411204e+25	1.3845422802347504e+26
33.0ms	1.0084747140809284e-10	0.00023679794091274102
1.0ms	1.322089514151449e-35	1.4634830038487587e-35

Samples

33.0ms

256×

valid

Compiler

Compiled 658 to 398 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 24.0ms (87.5% of total)

ival-mult: 3.0ms (10.9% of total)

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

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

bsearch3.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.8959955637411204e+25	1.3845422802347504e+26
1.0ms	1.0084747140809284e-10	0.00023679794091274102
0.0ms	1.322089514151449e-35	1.4634830038487587e-35

Compiler

Compiled 658 to 398 computations (39.5% saved)

bsearch13.0ms (0.2%)

Memory

30.8MiB live, 30.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.857043999206211e+105	4.466332562750487e+109

Samples

6.0ms

128×

valid

Compiler

Compiled 274 to 190 computations (30.7% saved)

Precisions

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

ival-mult: 2.0ms (60.3% of total)

ival-add: 1.0ms (30.1% of total)

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

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

simplify57.0ms (0.8%)

Memory

-43.5MiB live, 63.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	273
1	75	237
2	163	219
3	382	219
4	870	219
5	1685	219
6	3003	219
7	7912	219

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 x y) #s(literal -7846377169233351/784637716923335095479473677900958302012794430558004314112 binary64)) (fma.f64 z z (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 7090649168385425/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)) (fma.f64 z z (*.f64 y x))))
(if (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (if (<=.f64 z #s(literal 3929008913747545/302231454903657293676544 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)) (if (<=.f64 z #s(literal 67999999999999996711665664 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 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (if (<=.f64 z #s(literal 3929008913747545/302231454903657293676544 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (if (<=.f64 z #s(literal 67999999999999996711665664 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 z #s(literal 40000000000000003641439962014737400418418159807019462286181829499363611581405336608616720390166448762257408 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)))
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 x y) #s(literal -7846377169233351/784637716923335095479473677900958302012794430558004314112 binary64)) (fma.f64 z z (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 7090649168385425/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)) (fma.f64 z z (*.f64 y x))))
(if (or (<=.f64 (.f64 x y) #s(literal -7846377169233351/784637716923335095479473677900958302012794430558004314112 binary64)) (not (<=.f64 (.f64 x y) #s(literal 7090649168385425/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)))) (fma.f64 z z (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (if (<=.f64 z #s(literal 3929008913747545/302231454903657293676544 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)) (if (<=.f64 z #s(literal 67999999999999996711665664 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 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (if (<=.f64 z #s(literal 3929008913747545/302231454903657293676544 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (if (<=.f64 z #s(literal 67999999999999996711665664 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 (or (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)) (not (or (<=.f64 z #s(literal 3929008913747545/302231454903657293676544 binary64)) (not (<=.f64 z #s(literal 67999999999999996711665664 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 z #s(literal 40000000000000003641439962014737400418418159807019462286181829499363611581405336608616720390166448762257408 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)))
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

soundness1.9s (26.4%)

Memory

41.1MiB live, 872.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
0	39	137
1	189	129
2	1591	129
0	8355	126
0	8	36
0	13	36
1	63	32
2	637	24
0	9212	20
0	70	208
1	281	180
2	997	180
3	4202	180
0	8237	161
0	86	263
1	340	219
2	1154	219
3	4496	219
0	8274	196
0	76	231
1	269	213
2	973	213
3	4124	213
0	8099	199
0	29	127
0	40	119
1	169	113
2	1324	113
0	8188	110

Stop Event

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

Compiler

Compiled 501 to 225 computations (55.1% saved)

preprocess90.0ms (1.2%)

Memory

14.3MiB live, 208.0MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 662 to 184 computations (72.2% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (17.4%)

explain120.0ms (1.6%)

preprocess131.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify120.0ms (1.6%)

localize34.0ms (0.5%)

series11.0ms (0.2%)

simplify160.0ms (2.2%)

rewrite205.0ms (2.8%)

eval55.0ms (0.7%)

prune30.0ms (0.4%)

simplify40.0ms (0.5%)

localize77.0ms (1.1%)

series13.0ms (0.2%)

simplify144.0ms (2%)

rewrite378.0ms (5.2%)

eval315.0ms (4.3%)

prune129.0ms (1.8%)

simplify42.0ms (0.6%)

localize111.0ms (1.5%)

series9.0ms (0.1%)

simplify120.0ms (1.6%)

rewrite326.0ms (4.5%)

eval272.0ms (3.7%)

prune49.0ms (0.7%)

simplify67.0ms (0.9%)

localize50.0ms (0.7%)

series63.0ms (0.9%)

simplify158.0ms (2.2%)

rewrite408.0ms (5.6%)

eval75.0ms (1%)

prune12.0ms (0.2%)

regimes80.0ms (1.1%)

regimes33.0ms (0.4%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes25.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch64.0ms (0.9%)

bsearch3.0ms (0%)

bsearch13.0ms (0.2%)

simplify57.0ms (0.8%)

soundness1.9s (26.4%)

preprocess90.0ms (1.2%)

end0.0ms (0%)

Profiling