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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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)

sample1.2s (21.1%)

Memory

15.1MiB live, 1 019.4MiB allocated

Samples

805.0ms	7 649×	0	valid
70.0ms	183×	2	valid
40.0ms	352×	1	valid
16.0ms	72×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 398.0ms

ival-add: 353.0ms (88.8% of total)

adjust: 35.0ms (8.8% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain134.0ms (2.4%)

Memory

-23.7MiB live, 174.3MiB 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

36.0ms	472×	0	valid
3.0ms	16×	2	valid
2.0ms	20×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 91 to 28 computations (69.2% saved)

Precisions

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

ival-add: 24.0ms (90.1% of total)

adjust: 2.0ms (7.5% of total)

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

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

preprocess337.0ms (6.1%)

Memory

13.2MiB live, 50.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	139	83
2	547	81
3	2388	81
4	4381	81
5	5700	81
6	6073	81
7	6188	81
8	6199	81
9	6199	81
10	6820	81
11	7037	81
12	7055	81
13	7055	81
14	7065	81
15	7075	81
16	7075	81
17	7079	81
18	7850	81
19	7850	81
0	8	11
0	13	11
1	26	9
2	71	9
3	163	9
4	266	9
5	273	9
0	273	7

Stop Event

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

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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify6.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(+.f64 (+.f64 x y) y)
cost-diff	1	(+.f64 (+.f64 (+.f64 x y) y) x)
cost-diff	1	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
cost-diff	1	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
0	13	38
1	26	32
2	71	32
3	163	32
4	266	32
5	273	32
0	273	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

localize74.0ms (1.3%)

Memory

-39.9MiB live, 52.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.01953125	(+.f64 (+.f64 (+.f64 x y) y) x)
accuracy	0.01953125	(+.f64 (+.f64 x y) y)
accuracy	0.06640625	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Samples

54.0ms	236×	0	valid
1.0ms	8×	2	valid
1.0ms	10×	1	valid
0.0ms	2×	3	valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 6.0ms (79.9% of total)

adjust: 1.0ms (13.3% of total)

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

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

series5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 40

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)

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

simplify125.0ms (2.2%)

Memory

34.5MiB live, 150.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	222
1	343	220
2	900	220
3	2814	220
4	6884	220
0	8204	188

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 37

Calls

Call 1

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

rewrite173.0ms (3.1%)

Memory

-7.5MiB live, 259.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
0	13	35
1	81	29
2	878	29
0	8130	26

Stop Event

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

Counts

5 → 593

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)

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

eval96.0ms (1.7%)

Memory: -12.2MiB live, 110.4MiB allocated
Compiler: Compiled 22 025 to 2 473 computations (88.8% saved)

prune12.0ms (0.2%)

Memory

-1.5MiB live, 36.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	600	5	605
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	601	5	606

Accuracy

100.0%

Counts

606 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	#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)))
▶	64.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
▶	71.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
▶	29.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))

Compiler

Compiled 168 to 116 computations (31% saved)

simplify7.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
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	(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 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: 3 (0.0ms)

Iter	Nodes	Cost
0	21	131
0	29	131
1	52	116
2	111	116
3	224	111
4	283	111
5	285	111
0	285	111

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

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

localize78.0ms (1.4%)

Memory

-2.9MiB live, 85.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0625	(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
accuracy	22.794307993056385	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
accuracy	0.0	(fma.f64 #s(literal 3 binary64) x z)
accuracy	22.760109938798117	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) y z)
accuracy	18.07015529694942	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x)
accuracy	45.17853281780512	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
accuracy	0.0	(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) y z)
accuracy	0.0	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))

Samples

54.0ms	227×	0	valid
5.0ms	14×	2	valid
4.0ms	8×	3	valid
2.0ms	7×	1	valid

Compiler

Compiled 110 to 20 computations (81.8% saved)

Precisions

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

ival-add: 18.0ms (68.1% of total)

ival-mult: 5.0ms (18.9% of total)

adjust: 3.0ms (11.4% 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

9.4MiB live, 9.4MiB allocated

Counts

11 → 40

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 2 binary64) y z))
#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)

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

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) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x))
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) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x))
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) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x))
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) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x))
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) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x))

simplify126.0ms (2.3%)

Memory

-20.1MiB live, 129.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	232
1	393	232
2	1024	232
3	3176	232
4	7272	232
0	8089	191

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 37

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

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

rewrite145.0ms (2.6%)

Memory

13.0MiB live, 205.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	29	111
1	154	96
2	1708	96
0	8358	96

Stop Event

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

Counts

11 → 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 2 binary64) y z))
#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)

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

eval26.0ms (0.5%)

Memory: 18.3MiB live, 54.7MiB allocated
Compiler: Compiled 7 831 to 781 computations (90% saved)

prune6.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	217	6	223

Accuracy

100.0%

Counts

223 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.3%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
✓	64.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
✓	71.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	29.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
▶	64.4%	#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))))
▶	36.7%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))

Compiler

Compiled 114 to 79 computations (30.7% saved)

simplify181.0ms (3.3%)

Memory

-153.8MiB live, 35.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
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	19	92
0	22	92
1	40	88
2	92	88
3	219	82
4	290	82
5	294	82
0	294	80

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

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

localize42.0ms (0.8%)

Memory

-11.0MiB live, 70.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.0	#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
accuracy	22.794307993056385	#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	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	22.794307993056385	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
accuracy	29.249920155196044	#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))

Samples

26.0ms	233×	0	valid
5.0ms	12×	2	valid
2.0ms	8×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 57 to 18 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 16.0ms (66.1% of total)

ival-mult: 5.0ms (20.6% of total)

adjust: 4.0ms (16.5% 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

9.5MiB live, 9.5MiB allocated

Counts

6 → 22

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))

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) (* 2 y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ (* 3 x) (* 2 y)))
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)))
0.0ms	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)))
0.0ms	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)))
0.0ms	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)))

simplify217.0ms (3.9%)

Memory

-29.8MiB live, 131.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	150
1	232	148
2	648	148
3	1840	148
4	4668	148
0	8295	122

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)))))
(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))
(* -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))
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))
(* -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))

rewrite192.0ms (3.5%)

Memory

27.7MiB live, 179.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	22	83
1	124	79
2	1442	79
0	9166	73

Stop Event

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

Counts

6 → 38

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))

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

eval5.0ms (0.1%)

Memory: 11.6MiB live, 11.6MiB allocated
Compiler: Compiled 1 792 to 209 computations (88.3% saved)

prune4.0ms (0.1%)

Memory

-31.2MiB live, 7.2MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	2	0	2
Done	1	3	4
Total	53	5	58

Accuracy

100.0%

Counts

58 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
✓	71.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	29.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
▶	64.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
▶	36.7%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))

Compiler

Compiled 96 to 65 computations (32.3% saved)

simplify7.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.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	0	(+.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	41	86
2	97	86
3	214	80
4	285	80
5	289	80
0	289	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

localize39.0ms (0.7%)

Memory

-10.1MiB live, 40.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
accuracy	22.794307993056385	#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	0.0	(+.f64 y y)
accuracy	22.794307993056385	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
accuracy	29.249920155196044	#s(approx (+ (* (+ y x) 2) x) (+.f64 y y))

Samples

24.0ms	233×	0	valid
4.0ms	12×	2	valid
2.0ms	8×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 55 to 18 computations (67.3% saved)

Precisions

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

ival-add: 16.0ms (72.7% of total)

ival-mult: 3.0ms (13.6% of total)

adjust: 2.0ms (9.1% 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

5.7MiB live, 5.7MiB 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	x	@	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)))

simplify282.0ms (5.1%)

Memory

4.3MiB live, 162.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	150
1	232	148
2	648	148
3	1840	148
4	4668	148
0	8295	122

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)))))
(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))
(* -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))
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))
(* -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))

rewrite316.0ms (5.7%)

Memory

7.5MiB live, 175.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	22	83
1	131	79
2	1569	79
0	8073	73

Stop Event

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

Counts

6 → 147

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 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
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(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) (.f64 y (.f64 #s(literal 2 binary64) 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 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) x y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 #s(literal 3 binary64) x y) y)))
(-.f64 (/.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 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 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 (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))

eval56.0ms (1%)

Memory: -2.2MiB live, 35.5MiB allocated
Compiler: Compiled 7 472 to 848 computations (88.7% saved)

prune84.0ms (1.5%)

Memory

-21.2MiB live, 17.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	235	5	240

Accuracy

100.0%

Counts

240 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
✓	71.8%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
✓	29.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
✓	64.4%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
✓	36.7%	#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))

Compiler

Compiled 289 to 107 computations (63% saved)

regimes15.0ms (0.3%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

10 → 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))
#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:

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

regimes55.0ms (1%)

Memory

-19.9MiB live, 18.5MiB allocated

Counts

8 → 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))
#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 2 binary64) y 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 3 binary64) x z))

Calls

4 calls:

45.0ms	z
3.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
88.6%	3	`x`
86.3%	3	`y`
91.4%	3	`z`
77.7%	3	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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 3 binary64) x z))

#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))

Calls

2 calls:

2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
88.6%	3	`x`
73.8%	2	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB 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
71.8%	1	`y`
82.2%	3	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB 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) (*.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) (*.f64 #s(literal 3 binary64) x))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
50.7%	3	`y`
38.7%	2	`z`
42.6%	3	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
53.5%	3	`x`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes23.0ms (0.4%)

Memory

-34.8MiB live, 11.1MiB 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:

19.0ms	x
1.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
36.7%	1	`z`
36.7%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
36.7%	1	`y`
36.7%	1	`x`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch28.0ms (0.5%)

Memory

20.9MiB live, 20.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.5101256293944686e+66	5.2994676721213315e+70
14.0ms	-1.2023275189774156e-48	-2.5355585806649265e-61

Samples

12.0ms	264×	0	valid
2.0ms	12×	2	valid
1.0ms	12×	1	valid

Compiler

Compiled 770 to 554 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 7.0ms (85.2% of total)

adjust: 1.0ms (12.2% of total)

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

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

bsearch50.0ms (0.9%)

Memory

-15.3MiB live, 23.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	6.445822325346037e+125	2.0251092891252123e+128
9.0ms	-329123407025118800.0	-3759338121832182.0

Samples

10.0ms	219×	0	valid
2.0ms	17×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 494 to 374 computations (24.3% saved)

Precisions

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

ival-add: 6.0ms (89.6% of total)

adjust: 1.0ms (14.9% of total)

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

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

bsearch45.0ms (0.8%)

Memory

-9.0MiB live, 28.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2452271498621615e+178	3.6371762047759045e+183
9.0ms	-2.3421427607292906e+102	-4.284921655075943e+100

Samples

11.0ms	246×	0	valid
1.0ms	6×	2	valid
0.0ms	4×	1	valid

Compiler

Compiled 510 to 398 computations (22% saved)

Precisions

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

ival-add: 6.0ms (91.6% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch14.0ms (0.3%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.0251092891252123e+128	1.6326950027706912e+134
1.0ms	-329123407025118800.0	-3759338121832182.0

Samples

6.0ms	136×	0	valid
1.0ms	6×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 622 to 462 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 3.0ms (80.4% of total)

adjust: 0.0ms (0% of total)

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

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

simplify166.0ms (3%)

Memory

8.7MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	236
1	73	214
2	130	214
3	252	214
4	332	214
5	338	214
6	344	214
7	344	214
8	362	214
9	369	214
10	377	214
11	390	214
12	461	214
13	1407	214
14	2453	214
15	3125	214
16	3990	214
17	5202	214
18	6939	214
19	7367	214
20	7656	214
21	7871	214

Stop Event

1×	node 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)))
(if (<=.f64 z #s(literal -8713454762823087/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 z #s(literal 17999999999999999389946428785165159322916955435750915675903880069120 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 3 binary64) x z))))
(if (<=.f64 x #s(literal -108000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 649999999999999988740726376726704973885725614022037437946417664479559161300921011807400672779566570357678512125175344494804992 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) (fma.f64 #s(literal 3 binary64) x z))))
(if (<=.f64 x #s(literal -132000000000000004430384297159184067285716961232300402316001730624838897294823921689422946059560157184 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 13799999999999999427958861747146157080318753999550244608108499324826934998942527119863697193236736858180722400334799546227274391864640601445409947203259142600654959653799482884096 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 x #s(literal -108000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 1099999999999999942630116706924029165320421614808396837086814324610900065294207514726281101588542993709442972631514212029534820106240 binary64)) #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)))

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 -8713454762823087/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 z #s(literal 17999999999999999389946428785165159322916955435750915675903880069120 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 3 binary64) x z))))
(if (<=.f64 x #s(literal -108000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 649999999999999988740726376726704973885725614022037437946417664479559161300921011807400672779566570357678512125175344494804992 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) (fma.f64 #s(literal 3 binary64) x z))))
(if (or (<=.f64 x #s(literal -108000000000000000 binary64)) (not (<=.f64 x #s(literal 649999999999999988740726376726704973885725614022037437946417664479559161300921011807400672779566570357678512125175344494804992 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 -132000000000000004430384297159184067285716961232300402316001730624838897294823921689422946059560157184 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 13799999999999999427958861747146157080318753999550244608108499324826934998942527119863697193236736858180722400334799546227274391864640601445409947203259142600654959653799482884096 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 (or (<=.f64 x #s(literal -132000000000000004430384297159184067285716961232300402316001730624838897294823921689422946059560157184 binary64)) (not (<=.f64 x #s(literal 13799999999999999427958861747146157080318753999550244608108499324826934998942527119863697193236736858180722400334799546227274391864640601445409947203259142600654959653799482884096 binary64)))) #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)))
(if (<=.f64 x #s(literal -108000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 1099999999999999942630116706924029165320421614808396837086814324610900065294207514726281101588542993709442972631514212029534820106240 binary64)) #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))))
(if (or (<=.f64 x #s(literal -108000000000000000 binary64)) (not (<=.f64 x #s(literal 1099999999999999942630116706924029165320421614808396837086814324610900065294207514726281101588542993709442972631514212029534820106240 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)))

soundness1.1s (20.2%)

Memory

-12.0MiB live, 462.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	232
1	393	232
2	1024	232
3	3176	232
4	7272	232
0	8089	191
0	113	222
1	343	220
2	900	220
3	2814	220
4	6884	220
0	8204	188
0	19	83
0	22	83
1	124	79
2	1442	79
0	9166	73

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 352 to 165 computations (53.1% saved)

preprocess57.0ms (1%)

Memory: 18.6MiB live, 103.3MiB allocated
Compiler: Compiled 494 to 122 computations (75.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (21.1%)

explain134.0ms (2.4%)

preprocess337.0ms (6.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize74.0ms (1.3%)

series5.0ms (0.1%)

simplify125.0ms (2.2%)

rewrite173.0ms (3.1%)

eval96.0ms (1.7%)

prune12.0ms (0.2%)

simplify7.0ms (0.1%)

localize78.0ms (1.4%)

series8.0ms (0.1%)

simplify126.0ms (2.3%)

rewrite145.0ms (2.6%)

eval26.0ms (0.5%)

prune6.0ms (0.1%)

simplify181.0ms (3.3%)

localize42.0ms (0.8%)

series4.0ms (0.1%)

simplify217.0ms (3.9%)

rewrite192.0ms (3.5%)

eval5.0ms (0.1%)

prune4.0ms (0.1%)

simplify7.0ms (0.1%)

localize39.0ms (0.7%)

series4.0ms (0.1%)

simplify282.0ms (5.1%)

rewrite316.0ms (5.7%)

eval56.0ms (1%)

prune84.0ms (1.5%)

regimes15.0ms (0.3%)

regimes55.0ms (1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes23.0ms (0.4%)

bsearch28.0ms (0.5%)

bsearch50.0ms (0.9%)

bsearch45.0ms (0.8%)

bsearch14.0ms (0.3%)

simplify166.0ms (3%)

soundness1.1s (20.2%)

preprocess57.0ms (1%)

end0.0ms (0%)

Profiling