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)

sample1.0s (17.1%)

Memory

21.6MiB live, 1 232.7MiB allocated

Samples

602.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 339.0ms

ival-mult: 194.0ms (57.2% of total)

ival-add: 135.0ms (39.8% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 4.0ms (1.2% of total)

Bogosity

explain114.0ms (1.9%)

Memory

-31.2MiB live, 142.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 z z)`	overflow	58
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	78
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	78
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 z z)`	overflow	116
↳	`(*.f64 z z)`	overflow	58
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	78
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 z z)`	overflow	58
↳	`(*.f64 z z)`	overflow	58

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	3
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 145 to 36 computations (75.2% saved)

Precisions

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

ival-mult: 7.0ms (50.1% of total)

ival-add: 6.0ms (43% of total)

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

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

preprocess409.0ms (6.7%)

Memory

-10.4MiB live, 153.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	147	120
2	448	81
3	1591	81
4	3367	81
5	4522	81
6	4974	81
7	5541	81
8	5788	81
9	6166	81
10	6707	81
11	7010	81
12	7676	81
0	8	15
0	13	15
1	29	13
2	99	9
3	335	9
4	1021	9
5	1608	9
6	2082	9
7	3451	9
8	3944	9
9	4575	9
10	4918	9
11	5281	9
12	5812	9
13	6083	9
14	6743	9
15	7196	9
16	7804	9
0	8010	8

Stop Event

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

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify225.0ms (3.7%)

Memory

20.3MiB live, 169.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
cost-diff	192	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
cost-diff	512	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	42
0	13	42
1	29	38
2	99	34
3	335	34
4	1021	34
5	1608	34
6	2082	34
7	3451	34
8	3944	34
9	4575	34
10	4918	34
11	5281	34
12	5812	34
13	6083	34
14	6743	34
15	7196	34
16	7804	34
0	8010	31

Stop Event

1×	iter limit
1×	node limit
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

localize83.0ms (1.4%)

Memory

-26.1MiB live, 63.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.5039021216604116	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.5703083716604116	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	1.1106284032810656	(+.f64 (.f64 x y) (.f64 z z))

Samples

18.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (43.7% of total)

ival-mult: 3.0ms (43.7% of total)

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

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

series7.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB 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
1.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))
1.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))
1.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))
1.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))
1.0ms	y	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))

simplify163.0ms (2.7%)

Memory

-12.5MiB live, 117.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	278	180
2	1008	180
3	3915	180
4	7966	180
0	8036	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 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* 2 (pow z 2))
(.f64 (.f64 z z) #s(literal 2 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (.f64 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 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))

rewrite159.0ms (2.6%)

Memory

24.2MiB live, 98.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	28
1	64	26
2	684	22
0	10879	19

Stop Event

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

Counts

4 → 552

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

eval45.0ms (0.7%)

Memory: 9.8MiB live, 47.4MiB allocated
Compiler: Compiled 7 641 to 689 computations (91% saved)

prune105.0ms (1.7%)

Memory

-11.6MiB live, 31.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	326	6	332
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	327	6	333

Accuracy

100.0%

Counts

333 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(fma.f64 z (fma.f64 #s(literal 2 binary64) z z) (*.f64 y x))
▶	77.1%	(fma.f64 z z (*.f64 y x))
▶	77.5%	(fma.f64 y x (*.f64 z z))
▶	98.0%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
	29.2%	(+.f64 (fma.f64 z z (/.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (fma.f64 z z (.f64 y x)))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (fma.f64 z z (*.f64 y x))))))
▶	52.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 190 to 106 computations (44.2% saved)

simplify137.0ms (2.3%)

Memory

2.7MiB live, 115.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 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	(fma.f64 z z (*.f64 y x))
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 y x (*.f64 z z))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z (fma.f64 #s(literal 2 binary64) z z) (*.f64 y x))
cost-diff	64	(fma.f64 #s(literal 2 binary64) z z)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	93
0	31	90
1	68	84
2	191	84
3	523	84
4	1315	84
5	1814	84
6	2063	84
7	3087	84
8	3647	84
9	4706	84
10	6355	84
11	7114	84
0	8034	84

Stop Event

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

Calls

Call 1

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

localize61.0ms (1%)

Memory

11.0MiB live, 133.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	1.1445271216604118	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	0.7578042428166806	(fma.f64 z z (*.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0.5061857549795624	(fma.f64 y x (*.f64 z z))
accuracy	0	(*.f64 z z)
accuracy	0.1484375	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	30.310441844223195	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0	(fma.f64 #s(literal 2 binary64) z z)
accuracy	0	(*.f64 y x)
accuracy	0.8398354928166806	(fma.f64 z (fma.f64 #s(literal 2 binary64) z z) (*.f64 y x))

Samples

50.0ms

256×

valid

Compiler

Compiled 188 to 40 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-add: 18.0ms (53.7% of total)

ival-mult: 15.0ms (44.8% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-16.4MiB live, 22.1MiB allocated

Counts

9 → 28

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((+ (* 2 z) z) (+ (* z (+ (* 2 z) z)) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) (* z z)) (+ (* z z) (* y x)) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	inf	((+ (* 2 z) z) (+ (* z (+ (* 2 z) z)) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) (* z z)) (+ (* z z) (* y x)) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	-inf	((+ (* 2 z) z) (+ (* z (+ (* 2 z) z)) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) (* z z)) (+ (* z z) (* y x)) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	0	((+ (* 2 z) z) (+ (* z (+ (* 2 z) z)) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) (* z z)) (+ (* z z) (* y x)) (+ (* 3 (* z z)) (* y x)))
1.0ms	x	@	0	((+ (* 2 z) z) (+ (* z (+ (* 2 z) z)) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* y x) (* z z)) (+ (* z z) (* y x)) (+ (* 3 (* z z)) (* y x)))

simplify200.0ms (3.3%)

Memory

18.1MiB live, 140.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	210
1	358	210
2	1263	210
3	4060	210
4	7927	210
0	8023	188

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

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

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

rewrite325.0ms (5.4%)

Memory

-4.8MiB live, 152.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	65
0	31	62
1	155	56
2	1333	56
0	8236	56

Stop Event

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

Counts

9 → 964

Calls

Call 1

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

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

eval313.0ms (5.2%)

Memory: 9.0MiB live, 128.8MiB allocated
Compiler: Compiled 19 582 to 1 572 computations (92% saved)

prune17.0ms (0.3%)

Memory

-28.4MiB live, 45.9MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	619	4	623
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	621	8	629

Accuracy

100.0%

Counts

629 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.1%	(fma.f64 z z (*.f64 y x))
✓	77.5%	(fma.f64 y x (*.f64 z z))
✓	98.0%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	52.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 z z)))
▶	52.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
▶	44.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 z))))
✓	52.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	31.9%	#s(approx (+ (* y x) (* z z)) (*.f64 z z))

Compiler

Compiled 122 to 77 computations (36.9% saved)

simplify139.0ms (2.3%)

Memory

2.5MiB live, 160.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	138
0	38	132
1	74	114
2	185	114
3	487	114
4	1195	114
5	1690	114
6	1976	114
7	3013	114
8	3573	114
9	4632	114
10	6281	114
11	7038	114
0	8077	110

Stop Event

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

Calls

Call 1

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

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

localize90.0ms (1.5%)

Memory

32.2MiB live, 157.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 z #s(literal 2 binary64))
accuracy	0.03515625	(fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 z z))
accuracy	30.310441844223195	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 z z)))
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.140625	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	30.310441844223195	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
accuracy	0.1484375	(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 z)))
accuracy	0.17578125	(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 z))
accuracy	20.415550561540044	(sqrt.f64 (pow.f64 z #s(literal 3 binary64)))
accuracy	30.310441844223195	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 z))))
accuracy	0	(*.f64 z z)
accuracy	30.331639228851472	#s(approx (+ (* y x) (* z z)) (*.f64 z z))

Samples

73.0ms

256×

valid

Compiler

Compiled 250 to 50 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 48.0ms (79.4% of total)

ival-add: 5.0ms (8.3% of total)

ival-pow: 4.0ms (6.6% of total)

ival-sqrt: 3.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

-17.3MiB live, 21.9MiB allocated

Counts

12 → 23

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((+ (* y x) (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* (sqrt (pow z 3)) (sqrt z))) (* (sqrt (pow z 3)) (sqrt z)) (sqrt (pow z 3)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* (* z 2) z) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z 2))
4.0ms	z	@	-inf	((+ (* y x) (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* (sqrt (pow z 3)) (sqrt z))) (* (sqrt (pow z 3)) (sqrt z)) (sqrt (pow z 3)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* (* z 2) z) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z 2))
2.0ms	z	@	inf	((+ (* y x) (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* (sqrt (pow z 3)) (sqrt z))) (* (sqrt (pow z 3)) (sqrt z)) (sqrt (pow z 3)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* (* z 2) z) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z 2))
1.0ms	z	@	0	((+ (* y x) (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* (sqrt (pow z 3)) (sqrt z))) (* (sqrt (pow z 3)) (sqrt z)) (sqrt (pow z 3)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* (* z 2) z) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z 2))
0.0ms	x	@	-inf	((+ (* y x) (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* (sqrt (pow z 3)) (sqrt z))) (* (sqrt (pow z 3)) (sqrt z)) (sqrt (pow z 3)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* (* z 2) z) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z 2))

simplify24.0ms (0.4%)

Memory

-24.3MiB live, 25.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	200
0	233	190

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

23 → 23

Calls

Call 1

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

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

rewrite171.0ms (2.8%)

Memory

32.2MiB live, 223.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	123
0	38	68
1	142	68
2	1008	68
0	10423	64

Stop Event

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

Counts

12 → 1 880

Calls

Call 1

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

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

eval193.0ms (3.2%)

Memory: -14.6MiB live, 133.6MiB allocated
Compiler: Compiled 22 887 to 1 936 computations (91.5% saved)

prune16.0ms (0.3%)

Memory

6.9MiB live, 45.9MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	816	3	819
Fresh	0	0	0
Picked	2	2	4
Done	1	3	4
Total	819	8	827

Accuracy

100.0%

Counts

827 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.5%	(fma.f64 y x (*.f64 z z))
✓	98.0%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	52.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
▶	94.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) y) x) y))
✓	52.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	52.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	31.9%	#s(approx (+ (* y x) (* z z)) (*.f64 z z))
▶	54.7%	#s(approx (+ (* y x) (* z z)) (*.f64 x y))

Compiler

Compiled 128 to 78 computations (39.1% saved)

simplify156.0ms (2.6%)

Memory

-8.2MiB live, 151.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
cost-diff	384	(fma.f64 (+.f64 z z) z (*.f64 z z))
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) y) x) y))
cost-diff	704	(.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) y) x) y)
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* y x) (* z z)) (*.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	31	109
1	63	93
2	176	93
3	566	93
4	1803	91
5	4885	91
0	8076	86

Stop Event

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

Calls

Call 1

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

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

localize60.0ms (1%)

Memory

-4.1MiB live, 87.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.03515625	(fma.f64 (+.f64 z z) z (*.f64 z z))
accuracy	30.310441844223195	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) y) x) y))
accuracy	0.0546875	(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x)
accuracy	3.082095955345532	(.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) y) x) y)
accuracy	7.616434643989698	(/.f64 (*.f64 z z) y)
accuracy	0	(*.f64 x y)
accuracy	28.95655855937274	#s(approx (+ (* y x) (* z z)) (*.f64 x y))

Samples

33.0ms

256×

valid

Compiler

Compiled 203 to 41 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-add: 10.0ms (45.5% of total)

ival-mult: 9.0ms (41% of total)

ival-div: 2.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

10 → 30

Calls

Call 1

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

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

Calls

9 calls:

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

simplify129.0ms (2.1%)

Memory

3.7MiB live, 112.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	218
1	322	218
2	1104	218
3	4652	218
0	8365	196

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

Calls

Call 1

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

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

rewrite73.0ms (1.2%)

Memory

5.3MiB live, 92.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	101
0	31	99
1	146	83
0	1322	80

Stop Event

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

Counts

10 → 172

Calls

Call 1

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

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

eval45.0ms (0.7%)

Memory: -26.8MiB live, 47.5MiB allocated
Compiler: Compiled 5 782 to 657 computations (88.6% saved)

prune8.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	197	8	205

Accuracy

100.0%

Counts

205 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.5%	(fma.f64 y x (*.f64 z z))
✓	98.0%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
✓	52.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
✓	52.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
	47.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( 3 (/ (* z z) y)) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y))
✓	52.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	31.9%	#s(approx (+ (* y x) (* z z)) (*.f64 z z))
✓	54.7%	#s(approx (+ (* y x) (* z z)) (*.f64 x y))

Compiler

Compiled 424 to 148 computations (65.1% saved)

regimes50.0ms (0.8%)

Memory

-18.3MiB live, 61.3MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

6 calls:

17.0ms	(*.f64 x y)
13.0ms	x
5.0ms	y
5.0ms	z
5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes22.0ms (0.4%)

Memory

21.4MiB live, 59.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`z`
98.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.0%	1	`(*.f64 x y)`
98.0%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes79.0ms (1.3%)

Memory

-19.4MiB live, 19.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

6 calls:

63.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
82.2%	3	`x`
82.3%	3	`y`
86.1%	2	`z`
82.4%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
86.3%	3	`(*.f64 x y)`
86.1%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes5.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.0%	2	`z`
86.0%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.7%	2	`z`
85.7%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes9.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
54.7%	1	`x`
54.7%	1	`y`
71.2%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
58.8%	3	`(*.f64 x y)`
74.0%	2	`z`
74.0%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes24.0ms (0.4%)

Memory

-35.1MiB live, 9.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	z
1.0ms	(*.f64 x y)
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
54.7%	1	`(*.f64 x y)`
54.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
54.7%	1	`z`
54.7%	1	`(*.f64 z z)`

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.593712419223258e-129	1.4484417196869193e-128

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.593712419223258e-129	1.4484417196869193e-128

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.593712419223258e-129	1.4484417196869193e-128

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch12.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.550924287207535e+290	9.592317699672562e+293

Samples

5.0ms	122×	0	valid
1.0ms	3×	3	valid
0.0ms	2×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 174 to 150 computations (13.8% saved)

Precisions

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

ival-add: 2.0ms (60.9% of total)

ival-mult: 1.0ms (30.5% of total)

adjust: 0.0ms (0% of total)

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

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

simplify32.0ms (0.5%)

Memory

-16.5MiB live, 58.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	163
1	36	163

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z (fma.f64 #s(literal 2 binary64) z z) (*.f64 y x))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 y x (.f64 z z)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (+.f64 z z) z (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 y x (.f64 z z)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (+ ( y x) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 760000000000000012290843088672081649168782812043056231496461807306238091992117358024228891960272854972266666569631892730481739691198881805976878009221103567761046683482422192346594324498187331485288990855588466210964703687438201779951866350432601818019028418725567395055875589286450312511488 binary64)) #s(approx (+ ( y x) (* z z)) (.f64 x y)) #s(approx (+ ( y x) (* z z)) (*.f64 z z)))
#s(approx (+ (* y x) (* z z)) (*.f64 x y))

Outputs
(fma.f64 z (fma.f64 #s(literal 2 binary64) z z) (*.f64 y x))
(fma.f64 z (fma.f64 #s(literal 2 binary64) z z) (*.f64 x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 y x (.f64 z z)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (+.f64 z z) z (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 y x (.f64 z z)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (fma.f64 y x (.f64 z z)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (+ ( y x) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (+ ( y x) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 760000000000000012290843088672081649168782812043056231496461807306238091992117358024228891960272854972266666569631892730481739691198881805976878009221103567761046683482422192346594324498187331485288990855588466210964703687438201779951866350432601818019028418725567395055875589286450312511488 binary64)) #s(approx (+ ( y x) (* z z)) (.f64 x y)) #s(approx (+ ( y x) (* z z)) (*.f64 z z)))
#s(approx (+ (* y x) (* z z)) (*.f64 x y))

soundness1.2s (19.9%)

Memory

-2.0MiB live, 562.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	278	180
2	1008	180
3	3915	180
4	7966	180
0	8036	161
0	19	65
0	31	62
1	155	56
2	1333	56
0	8236	56
0	88	210
1	358	210
2	1263	210
3	4060	210
4	7927	210
0	8023	188
0	8	36
0	13	28
1	64	26
2	684	22
0	10879	19
0	63	200
0	233	190
0	26	123
0	38	68
1	142	68
2	1008	68
0	10423	64

Stop Event

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

Compiler

Compiled 308 to 129 computations (58.1% saved)

preprocess64.0ms (1.1%)

Memory

29.5MiB live, 104.5MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 482 to 182 computations (62.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (17.1%)

explain114.0ms (1.9%)

preprocess409.0ms (6.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify225.0ms (3.7%)

localize83.0ms (1.4%)

series7.0ms (0.1%)

simplify163.0ms (2.7%)

rewrite159.0ms (2.6%)

eval45.0ms (0.7%)

prune105.0ms (1.7%)

simplify137.0ms (2.3%)

localize61.0ms (1%)

series12.0ms (0.2%)

simplify200.0ms (3.3%)

rewrite325.0ms (5.4%)

eval313.0ms (5.2%)

prune17.0ms (0.3%)

simplify139.0ms (2.3%)

localize90.0ms (1.5%)

series21.0ms (0.3%)

simplify24.0ms (0.4%)

rewrite171.0ms (2.8%)

eval193.0ms (3.2%)

prune16.0ms (0.3%)

simplify156.0ms (2.6%)

localize60.0ms (1%)

series12.0ms (0.2%)

simplify129.0ms (2.1%)

rewrite73.0ms (1.2%)

eval45.0ms (0.7%)

prune8.0ms (0.1%)

regimes50.0ms (0.8%)

regimes22.0ms (0.4%)

regimes79.0ms (1.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.2%)

regimes24.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

simplify32.0ms (0.5%)

soundness1.2s (19.9%)

preprocess64.0ms (1.1%)

end0.0ms (0%)

Profiling