Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4

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 13 to 10 computations (23.1% saved)

sample1.1s (18.7%)

Memory

16.9MiB live, 1 126.8MiB allocated

Samples

736.0ms	7 656×	0	valid
39.0ms	374×	1	valid
26.0ms	158×	2	valid
15.0ms	68×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-add: 230.0ms (86.8% of total)

adjust: 25.0ms (9.4% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 4.0ms (1.5% of total)

Bogosity

explain139.0ms (2.5%)

Memory

-1.8MiB live, 158.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (+.f64 x y) y) x)`
-	-	`y`
-	-	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
-	-	`(+.f64 (+.f64 x y) y)`
-	-	`(+.f64 x y)`
-	-	`z`
-	-	`(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms	478×	0	valid
2.0ms	18×	1	valid
2.0ms	10×	2	valid
2.0ms	6×	3	valid

Compiler

Compiled 129 to 36 computations (72.1% saved)

Precisions

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

ival-add: 14.0ms (86.1% of total)

adjust: 2.0ms (12.3% of total)

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

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

preprocess320.0ms (5.6%)

Memory

-9.0MiB live, 148.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	139	83
2	560	81
3	2567	81
4	4800	81
5	5961	81
6	6536	81
7	6707	81
8	6717	81
9	6717	81
10	7594	81
11	7881	81
12	7895	81
13	7895	81
14	7909	81
15	7923	81
16	7923	81
17	7927	81
0	8	11
0	13	11
1	26	9
2	71	9
3	175	9
4	338	9
5	588	9
6	1091	9
7	2188	9
8	2791	9
9	2885	9
10	2885	9
11	2885	9
12	2897	9
0	2897	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify89.0ms (1.6%)

Memory

2.0MiB live, 77.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (+.f64 x y) y)
cost-diff	0	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
cost-diff	64	(+.f64 (+.f64 (+.f64 x y) y) x)
cost-diff	128	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
0	13	38
1	26	32
2	71	32
3	175	32
4	338	32
5	588	32
6	1091	32
7	2188	32
8	2791	32
9	2885	32
10	2885	32
11	2885	32
12	2897	32
0	2897	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.7%)

Memory

-14.9MiB live, 68.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0.01953125	(+.f64 (+.f64 (+.f64 x y) y) x)
accuracy	0.0234375	(+.f64 (+.f64 x y) y)
accuracy	0.06640625	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Samples

16.0ms	5×	2	valid
16.0ms	239×	0	valid
5.0ms	9×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 78 to 18 computations (76.9% saved)

Precisions

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

adjust: 16.0ms (62.4% of total)

ival-add: 10.0ms (39% of total)

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

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

series5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

5 → 40

Calls

Call 1

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

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

Calls

9 calls:

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

simplify151.0ms (2.7%)

Memory

-19.1MiB live, 188.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	234
1	378	228
2	1236	228
3	5396	228
0	8580	196

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 37

Calls

Call 1

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

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

rewrite278.0ms (4.9%)

Memory

9.8MiB live, 250.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
0	13	35
1	81	29
2	925	29
0	8230	26

Stop Event

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

Counts

5 → 546

Calls

Call 1

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

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

eval107.0ms (1.9%)

Memory: 13.2MiB live, 120.4MiB allocated
Compiler: Compiled 24 586 to 2 560 computations (89.6% saved)

prune14.0ms (0.3%)

Memory

-15.4MiB live, 34.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	554	5	559
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	555	5	560

Accuracy

100.0%

Counts

560 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
▶	67.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
▶	100.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
▶	67.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
▶	35.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 168 to 116 computations (31% saved)

simplify102.0ms (1.8%)

Memory

13.3MiB live, 51.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	146
0	31	146
1	56	130
2	144	130
3	391	126
4	697	126
5	1512	126
6	2463	126
7	2815	126
8	2917	126
9	2931	126
10	2935	126
11	2962	126
12	2962	126
0	2962	124

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (1.5%)

Memory

3.8MiB live, 81.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 2 binary64) y z)
accuracy	0.06640625	(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
accuracy	22.31422330126166	#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))
accuracy	0	(+.f64 y x)
accuracy	0.0859375	(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
accuracy	20.5345469381928	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
accuracy	0	(fma.f64 #s(literal 3 binary64) x z)
accuracy	21.151245952580062	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	41.254173480817556	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
accuracy	0	(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
accuracy	0	(fma.f64 #s(literal 2 binary64) y z)
accuracy	0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))

Samples

39.0ms	225×	0	valid
5.0ms	10×	3	valid
3.0ms	13×	1	valid
3.0ms	8×	2	valid

Compiler

Compiled 266 to 42 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 26.0ms (74.4% of total)

ival-mult: 5.0ms (14.3% of total)

adjust: 3.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

12 → 50

Calls

Call 1

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

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

Calls

9 calls:

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

simplify252.0ms (4.5%)

Memory

-20.3MiB live, 182.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	402
1	508	394
2	1612	394
3	6942	394
0	8294	351

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 47

Calls

Call 1

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

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

rewrite232.0ms (4.1%)

Memory

20.1MiB live, 129.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	125
0	31	125
1	169	109
2	1924	109
0	8647	107

Stop Event

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

Counts

12 → 184

Calls

Call 1

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

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

eval76.0ms (1.3%)

Memory: -34.9MiB live, 50.3MiB allocated
Compiler: Compiled 8 622 to 868 computations (89.9% saved)

prune7.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	233	3	236
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	234	7	241

Accuracy

100.0%

Counts

241 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
✓	100.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
✓	67.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
▶	65.1%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	35.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
▶	67.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
▶	33.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))

Compiler

Compiled 133 to 92 computations (30.8% saved)

simplify98.0ms (1.7%)

Memory

17.7MiB live, 54.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	115
0	25	115
1	50	109
2	134	109
3	344	102
4	644	102
5	1441	102
6	2344	102
7	2648	102
8	2738	102
9	2738	102
10	2745	102
0	2745	99

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (1.4%)

Memory

3.6MiB live, 41.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 2 binary64) y z)
accuracy	22.31997364193269	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
accuracy	0	(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0	#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
accuracy	20.5345469381928	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	20.5345469381928	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
accuracy	31.901905601151423	#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))

Samples

37.0ms	7×	3	valid
27.0ms	231×	0	valid
3.0ms	12×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 191 to 41 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 45.0ms (78.9% of total)

ival-mult: 9.0ms (15.8% of total)

adjust: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

8 → 26

Calls

Call 1

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

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

Calls

9 calls:

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

simplify175.0ms (3.1%)

Memory

-12.2MiB live, 139.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	170
1	298	168
2	1013	168
3	4226	168
0	8562	138

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

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

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

rewrite493.0ms (8.7%)

Memory

-11.2MiB live, 240.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	103
0	25	103
1	142	97
2	1648	97
0	8465	90

Stop Event

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

Counts

8 → 81

Calls

Call 1

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

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

eval10.0ms (0.2%)

Memory: 17.2MiB live, 17.2MiB allocated
Compiler: Compiled 3 147 to 368 computations (88.3% saved)

prune10.0ms (0.2%)

Memory

-27.3MiB live, 10.8MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	94	7	101

Accuracy

100.0%

Counts

101 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
✓	100.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
✓	67.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
✓	65.1%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	35.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
▶	67.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
▶	33.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))

Compiler

Compiled 133 to 90 computations (32.3% saved)

simplify99.0ms (1.7%)

Memory

25.8MiB live, 64.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	90
0	22	90
1	43	86
2	119	86
3	302	80
4	604	80
5	1376	80
6	2651	80
7	3049	80
8	3147	80
9	3147	80
10	3152	80
0	3152	78

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (1%)

Memory

-12.8MiB live, 32.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	0	#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
accuracy	20.5345469381928	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
accuracy	0	(+.f64 y y)
accuracy	20.5345469381928	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
accuracy	31.901905601151423	#s(approx (+ (* (+ y x) 2) x) (+.f64 y y))

Samples

30.0ms	231×	0	valid
11.0ms	12×	1	valid
3.0ms	7×	3	valid
2.0ms	6×	2	valid

Compiler

Compiled 145 to 37 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 30.0ms (82.4% of total)

ival-mult: 3.0ms (8.2% of total)

adjust: 2.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

6 → 22

Calls

Call 1

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

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

Calls

9 calls:

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

simplify165.0ms (2.9%)

Memory

14.4MiB live, 169.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	178
1	257	160
2	889	160
3	3870	160
0	8573	136

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

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

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

rewrite214.0ms (3.8%)

Memory

-0.2MiB live, 282.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	22	83
1	133	79
2	1662	79
0	8129	73

Stop Event

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

Counts

6 → 166

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))
(.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y))))
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 y y))
(*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))
(*.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)))
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(fma.f64 #s(literal 0 binary64) (fabs.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) x))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (.f64 y (.f64 #s(literal 2 binary64) y))) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 y (.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) (fabs.f64 y) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) x (.f64 #s(literal -2 binary64) y))) (/.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 3 binary64) x (.f64 #s(literal -2 binary64) y))))
(-.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal -2 binary64) y))
(-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal -3 binary64) x))
(-.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 x) #s(literal 3 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 9 binary64) (.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(+.f64 (fma.f64 #s(literal 3 binary64) x y) y)
(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
(+.f64 y (fma.f64 #s(literal 3 binary64) x y))

eval32.0ms (0.6%)

Memory: -5.2MiB live, 79.3MiB allocated
Compiler: Compiled 8 516 to 960 computations (88.7% saved)

prune10.0ms (0.2%)

Memory

-2.2MiB live, 35.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	271	7	278

Accuracy

100.0%

Counts

278 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
✓	100.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
✓	67.0%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
✓	65.1%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	35.5%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
✓	67.9%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
✓	33.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))

Compiler

Compiled 342 to 134 computations (60.8% saved)

regimes22.0ms (0.4%)

Memory

-18.4MiB live, 66.9MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
6.0ms	y
4.0ms	z
4.0ms	x

Results

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

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes122.0ms (2.2%)

Memory

-2.9MiB live, 36.4MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

111.0ms	y
4.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
4.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
87.8%	3	`x`
87.7%	3	`y`
87.8%	3	`z`
76.9%	4	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes9.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
87.0%	3	`y`
86.7%	3	`x`
87.2%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes9.0ms (0.2%)

Memory

-19.9MiB live, 19.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
85.6%	3	`x`
86.0%	3	`y`
73.1%	4	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
79.7%	3	`x`
69.4%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes9.0ms (0.2%)

Memory

-18.9MiB live, 20.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.3%	3	`y`
41.6%	4	`z`
39.0%	2	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
54.1%	3	`x`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes7.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
33.8%	1	`z`
33.8%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
33.8%	1	`x`
33.8%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch27.0ms (0.5%)

Memory

6.4MiB live, 46.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.7323209442293372e-14	1.726465047934442e-11
12.0ms	-1.2104480081536486e-34	-2.0800754041585213e-36

Samples

12.0ms	220×	0	valid
1.0ms	9×	2	valid
1.0ms	11×	1	valid

Compiler

Compiled 644 to 464 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 8.0ms (89.2% of total)

adjust: 1.0ms (11.2% of total)

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

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

bsearch2.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7323209442293372e-14	1.726465047934442e-11
1.0ms	-1.2104480081536486e-34	-2.0800754041585213e-36

Compiler

Compiled 644 to 464 computations (28% saved)

bsearch25.0ms (0.4%)

Memory

-26.0MiB live, 51.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.987762735838893e-47	9.098703317597424e-47
14.0ms	-1.8822164843531992e+28	-2.4888110119354837e+23

Samples

9.0ms	210×	0	valid
1.0ms	8×	2	valid
1.0ms	6×	1	valid

Compiler

Compiled 462 to 350 computations (24.2% saved)

Precisions

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

ival-add: 5.0ms (81.8% of total)

adjust: 1.0ms (16.4% of total)

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

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

bsearch51.0ms (0.9%)

Memory

10.6MiB live, 49.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	4.896731019854785e+45	9.037266069055675e+47
14.0ms	-8.1513224947586315e+208	-7.628203318032681e+201

Samples

27.0ms	26×	1	valid
10.0ms	216×	0	valid
2.0ms	10×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 510 to 398 computations (22% saved)

Precisions

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

ival-add: 31.0ms (95% of total)

adjust: 2.0ms (6.1% of total)

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

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

bsearch39.0ms (0.7%)

Memory

7.6MiB live, 57.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	1.1702758231377009e-29	1.4616451087916506e-19
1.0ms	-1.8822164843531992e+28	-2.4888110119354837e+23

Samples

18.0ms	10×	2	valid
11.0ms	141×	0	valid
1.0ms	9×	1	valid

Compiler

Compiled 736 to 546 computations (25.8% saved)

Precisions

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

adjust: 17.0ms (78.9% of total)

ival-add: 4.0ms (18.6% of total)

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

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

simplify33.0ms (0.6%)

Memory

4.5MiB live, 79.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	353
1	55	353

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 z #s(literal -5799238496929023/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 z #s(literal 8356095265176317/618970019642690137449562112 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))
(if (<=.f64 z #s(literal -5799238496929023/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 z #s(literal 8356095265176317/618970019642690137449562112 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))))
(if (<=.f64 y #s(literal -31999999999999999463129088 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 y #s(literal 8741742960768907/102844034832575377634685573909834406561420991602098741459288064 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))))
(if (<=.f64 x #s(literal -8599999999999999807690514108135298903748018607629187485936709650789915134986500185592540764993824731263166357723102452721497847395224079643349268749609156141326586113867119484572038611260705117581606912 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 899999999999999958331620325961895923381637742592 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x))))
(if (<=.f64 y #s(literal -31999999999999999463129088 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y))) (if (<=.f64 y #s(literal 633460216741249/5192296858534827628530496329220096 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ ( (+ y x) 2) x) (+.f64 y y)))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))

Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 z #s(literal -5799238496929023/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 z #s(literal 8356095265176317/618970019642690137449562112 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))
(if (<=.f64 z #s(literal -5799238496929023/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 z #s(literal 8356095265176317/618970019642690137449562112 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))))
(if (<=.f64 y #s(literal -31999999999999999463129088 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 y #s(literal 8741742960768907/102844034832575377634685573909834406561420991602098741459288064 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))))
(if (<=.f64 x #s(literal -8599999999999999807690514108135298903748018607629187485936709650789915134986500185592540764993824731263166357723102452721497847395224079643349268749609156141326586113867119484572038611260705117581606912 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 899999999999999958331620325961895923381637742592 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x))))
(if (<=.f64 y #s(literal -31999999999999999463129088 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y))) (if (<=.f64 y #s(literal 633460216741249/5192296858534827628530496329220096 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ ( (+ y x) 2) x) (+.f64 y y)))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))

soundness829.0ms (14.6%)

Memory

-17.4MiB live, 663.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	402
1	508	394
2	1612	394
3	6942	394
0	8294	351
0	113	234
1	378	228
2	1236	228
3	5396	228
0	8580	196
0	21	103
0	25	103
1	142	97
2	1648	97
0	8465	90

Stop Event

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

Compiler

Compiled 511 to 216 computations (57.7% saved)

preprocess61.0ms (1.1%)

Memory: 8.3MiB live, 125.2MiB allocated
Compiler: Compiled 728 to 124 computations (83% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (18.7%)

explain139.0ms (2.5%)

preprocess320.0ms (5.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify89.0ms (1.6%)

localize42.0ms (0.7%)

series5.0ms (0.1%)

simplify151.0ms (2.7%)

rewrite278.0ms (4.9%)

eval107.0ms (1.9%)

prune14.0ms (0.3%)

simplify102.0ms (1.8%)

localize85.0ms (1.5%)

series8.0ms (0.1%)

simplify252.0ms (4.5%)

rewrite232.0ms (4.1%)

eval76.0ms (1.3%)

prune7.0ms (0.1%)

simplify98.0ms (1.7%)

localize79.0ms (1.4%)

series5.0ms (0.1%)

simplify175.0ms (3.1%)

rewrite493.0ms (8.7%)

eval10.0ms (0.2%)

prune10.0ms (0.2%)

simplify99.0ms (1.7%)

localize55.0ms (1%)

series4.0ms (0.1%)

simplify165.0ms (2.9%)

rewrite214.0ms (3.8%)

eval32.0ms (0.6%)

prune10.0ms (0.2%)

regimes22.0ms (0.4%)

regimes122.0ms (2.2%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch27.0ms (0.5%)

bsearch2.0ms (0%)

bsearch25.0ms (0.4%)

bsearch51.0ms (0.9%)

bsearch39.0ms (0.7%)

simplify33.0ms (0.6%)

soundness829.0ms (14.6%)

preprocess61.0ms (1.1%)

end0.0ms (0%)

Profiling