Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

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 9 to 7 computations (22.2% saved)

sample816.0ms (21.7%)

Memory

-20.4MiB live, 1 080.9MiB allocated; 210ms collecting garbage

Samples

545.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-add: 187.0ms (66.1% of total)

ival-mult: 85.0ms (30.1% of total)

ival-true: 6.0ms (2.1% of total)

adjust: 3.0ms (1.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain177.0ms (4.7%)

Memory

39.5MiB live, 230.3MiB allocated; 17ms collecting garbage

FPErrors

Click to see full error table

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

41.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

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

ival-add: 5.0ms (53.4% of total)

ival-mult: 4.0ms (42.7% of total)

ival-true: 1.0ms (10.7% of total)

adjust: 0.0ms (0% of total)

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

preprocess322.0ms (8.6%)

Memory

-39.4MiB live, 129.1MiB allocated; 230ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	39	40
2	98	38
3	227	36
4	335	35
5	497	35
6	858	35
7	1164	35
8	1537	35
9	1643	35
10	1653	35
11	1653	35
0	5	7
0	8	7
1	13	7
2	29	7
3	54	7
4	102	7
5	169	7
6	325	7
7	538	7
8	686	7
9	788	7
10	806	7
0	806	6

Stop Event

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

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(fma.f64 (+.f64 #s(literal 1 binary64) x) y x)

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify37.0ms (1%)

Memory

-7.5MiB live, 39.6MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	13	17
2	29	17
3	54	17
4	102	17
5	169	17
6	325	17
7	538	17
8	686	17
9	788	17
10	806	17
0	806	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(fma.f64 (+.f64 #s(literal 1 binary64) x) y x)
(+.f64 (*.f64 x y) x)
(fma.f64 y x x)
(*.f64 x y)
(*.f64 y x)
x
y

localize40.0ms (1.1%)

Memory

-1.6MiB live, 44.7MiB allocated; 2ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(+.f64 (+.f64 (*.f64 x y) x) y)
accuracy	0.01171875	(+.f64 (*.f64 x y) x)

Samples

36.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-add: 2.0ms (45.8% of total)

ival-mult: 2.0ms (45.8% of total)

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

adjust: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

3 → 16

Calls

Call 1

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

Outputs
(* x (+ 1 y))
y
(+ y (* x (+ 1 y)))
(* x y)
(* x (+ 1 (+ y (/ y x))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
x
(+ x (* x y))
(+ x (* y (+ 1 x)))
(* y (+ x (/ x y)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))

Calls

6 calls:

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

simplify162.0ms (4.3%)

Memory

-9.7MiB live, 178.9MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	82
1	140	82
2	405	82
3	1134	82
4	2638	82
5	4176	82
6	4916	82
7	5891	82
8	6545	82
9	7665	82
0	8168	69

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 14

Calls

Call 1

Inputs
(* x (+ 1 y))
y
(+ y (* x (+ 1 y)))
(* x y)
(* x (+ 1 (+ y (/ y x))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
x
(+ x (* x y))
(+ x (* y (+ 1 x)))
(* y (+ x (/ x y)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))

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

rewrite352.0ms (9.4%)

Memory

14.7MiB live, 255.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	38	15
2	328	15
3	5243	15
0	8331	13

Stop Event

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

Counts

3 → 160

Calls

Call 1

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

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

eval33.0ms (0.9%)

Memory: 5.3MiB live, 47.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 051 to 541 computations (89.3% saved)

prune3.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	2	165

Accuracy

100.0%

Counts

165 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (+.f64 y x))
▶	60.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify44.0ms (1.2%)

Memory

-29.7MiB live, 15.9MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	13	28
1	22	28
2	38	28
3	67	28
4	127	28
5	208	28
6	433	28
7	576	28
8	753	28
9	796	28
0	796	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.6%)

Memory

31.1MiB live, 31.1MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x (+.f64 y x))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(fma.f64 y x y)
accuracy	25.42816375539179	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))

Samples

16.0ms

256×

valid

Compiler

Compiled 28 to 11 computations (60.7% saved)

Precisions

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

ival-add: 5.0ms (55.3% of total)

ival-mult: 3.0ms (33.2% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

4 → 21

Calls

Call 1

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

Outputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
(+ x y)
(* x (+ 1 y))
(* x (+ 1 (+ y (/ y x))))
(* x y)
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

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

simplify159.0ms (4.2%)

Memory

-25.0MiB live, 80.2MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	97
1	169	97
2	449	97
3	1201	97
4	2672	97
5	4114	97
6	5164	97
7	6378	97
8	7860	97
0	8103	84

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 19

Calls

Call 1

Inputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
(+ x y)
(* x (+ 1 y))
(* x (+ 1 (+ y (/ y x))))
(* x y)
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite265.0ms (7.1%)

Memory

13.2MiB live, 291.1MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	24
1	79	24
2	626	24
0	8231	24

Stop Event

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

Counts

4 → 155

Calls

Call 1

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

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

eval34.0ms (0.9%)

Memory: 7.6MiB live, 52.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 230 to 554 computations (89.4% saved)

prune8.0ms (0.2%)

Memory

-39.6MiB live, 14.7MiB allocated; 10ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	158	4	162

Accuracy

100.0%

Counts

162 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (+.f64 y x))
✓	60.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
▶	67.0%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
▶	28.7%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 47 to 28 computations (40.4% saved)

simplify18.0ms (0.5%)

Memory

40.1MiB live, 40.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
0	14	47
1	25	47
2	47	47
3	86	47
4	164	47
5	278	47
6	566	47
7	710	47
8	891	47
9	909	47
0	909	45

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.8%)

Memory

-29.1MiB live, 60.9MiB allocated; 10ms collecting garbage

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x x)
accuracy	21.091994812945767	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
accuracy	0.0	(*.f64 y x)
accuracy	25.42816375539179	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
accuracy	28.92470887366166	#s(approx (+ (* y x) y) (*.f64 y x))

Samples

18.0ms

256×

valid

Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions

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

ival-add: 7.0ms (62.8% of total)

ival-mult: 4.0ms (35.9% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

5 → 19

Calls

Call 1

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

Outputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
(* x y)
(* x (+ 1 y))
(* x (+ 1 (+ y (/ y x))))
(* x (+ y (/ y x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
x
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(+ x (* x y))
(* y (+ 1 (+ x (/ x y))))
(* y (+ x (/ x y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))

Calls

6 calls:

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

simplify124.0ms (3.3%)

Memory

-7.9MiB live, 180.8MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	97
1	162	97
2	468	97
3	1278	97
4	2822	97
5	4304	97
6	5684	97
7	6882	97
0	8022	81

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

Inputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
(* x y)
(* x (+ 1 y))
(* x (+ 1 (+ y (/ y x))))
(* x (+ y (/ y x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
x
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(+ x (* x y))
(* y (+ 1 (+ x (/ x y))))
(* y (+ x (/ x y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))

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

rewrite310.0ms (8.3%)

Memory

49.6MiB live, 414.5MiB allocated; 114ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	14	43
1	71	43
2	454	43
3	6619	43
0	8336	41

Stop Event

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

Counts

5 → 82

Calls

Call 1

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

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

eval30.0ms (0.8%)

Memory: -8.7MiB live, 37.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 870 to 330 computations (88.5% saved)

prune4.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	87	4	91

Accuracy

100.0%

Counts

91 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (+.f64 y x))
✓	60.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	67.0%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
✓	28.7%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 101 to 47 computations (53.5% saved)

regimes62.0ms (1.7%)

Memory

-39.0MiB live, 17.6MiB allocated; 25ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x (+.f64 y x))

Calls

3 calls:

57.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.1%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`
90.7%	2	`x`
92.0%	2	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.0%	1	`x`
67.0%	1	`y`
67.0%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes36.0ms (1%)

Memory

-34.8MiB live, 13.3MiB allocated; 5ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
28.7%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
28.7%	1	`x`
28.7%	1	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.9582761964673726e-261	9.606409982206688e-250

Compiler

Compiled 10 to 10 computations (0% saved)

simplify50.0ms (1.3%)

Memory

38.1MiB live, 85.5MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	29	69
2	47	69
3	76	69
4	137	69
5	253	69
6	1069	69
7	6074	69

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y x (+.f64 y x))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Outputs
(fma.f64 y x (+.f64 y x))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -8863311460481781/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

derivations548.0ms (14.6%)

Memory

4.0MiB live, 427.4MiB allocated; 94ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	38	15
2	328	15
3	5243	15
0	8331	13
0	41	82
1	140	82
2	405	82
3	1134	82
4	2638	82
5	4176	82
6	4916	82
7	5891	82
8	6545	82
9	7665	82
0	8168	69
0	52	97
1	169	97
2	449	97
3	1201	97
4	2672	97
5	4114	97
6	5164	97
7	6378	97
8	7860	97
0	8103	84

Stop Event

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

Compiler

Compiled 69 to 22 computations (68.1% saved)

preprocess47.0ms (1.3%)

Memory: -6.6MiB live, 85.8MiB allocated; 24ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 164 to 62 computations (62.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	5	17
0	8	17
1	13	17
2	29	17
3	54	17
4	102	17
5	169	17
6	325	17
7	538	17
8	686	17
9	788	17
10	806	17
0	806	15

Iter	Nodes	Cost
0	9	29
0	13	28
1	22	28
2	38	28
3	67	28
4	127	28
5	208	28
6	433	28
7	576	28
8	753	28
9	796	28
0	796	28

Iter	Nodes	Cost
0	12	49
0	14	47
1	25	47
2	47	47
3	86	47
4	164	47
5	278	47
6	566	47
7	710	47
8	891	47
9	909	47
0	909	45

Iter	Nodes	Cost
0	5	17
0	8	17
1	13	17
2	29	17
3	54	17
4	102	17
5	169	17
6	325	17
7	538	17
8	686	17
9	788	17
10	806	17
0	806	15

Iter	Nodes	Cost
0	9	29
0	13	28
1	22	28
2	38	28
3	67	28
4	127	28
5	208	28
6	433	28
7	576	28
8	753	28
9	796	28
0	796	28

Iter	Nodes	Cost
0	12	49
0	14	47
1	25	47
2	47	47
3	86	47
4	164	47
5	278	47
6	566	47
7	710	47
8	891	47
9	909	47
0	909	45

start0.0ms (0%)

analyze0.0ms (0%)

sample816.0ms (21.7%)

explain177.0ms (4.7%)

preprocess322.0ms (8.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (1%)

localize40.0ms (1.1%)

series4.0ms (0.1%)

simplify162.0ms (4.3%)

rewrite352.0ms (9.4%)

eval33.0ms (0.9%)

prune3.0ms (0.1%)

simplify44.0ms (1.2%)

localize22.0ms (0.6%)

series3.0ms (0.1%)

simplify159.0ms (4.2%)

rewrite265.0ms (7.1%)

eval34.0ms (0.9%)

prune8.0ms (0.2%)

simplify18.0ms (0.5%)

localize28.0ms (0.8%)

series3.0ms (0.1%)

simplify124.0ms (3.3%)

rewrite310.0ms (8.3%)

eval30.0ms (0.8%)

prune4.0ms (0.1%)

regimes62.0ms (1.7%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes36.0ms (1%)

bsearch0.0ms (0%)

simplify50.0ms (1.3%)

derivations548.0ms (14.6%)

preprocess47.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	17
0	8	17
1	13	17
2	29	17
3	54	17
4	102	17
5	169	17
6	325	17
7	538	17
8	686	17
9	788	17
10	806	17
0	806	15

Iter	Nodes	Cost
0	9	29
0	13	28
1	22	28
2	38	28
3	67	28
4	127	28
5	208	28
6	433	28
7	576	28
8	753	28
9	796	28
0	796	28

Iter	Nodes	Cost
0	12	49
0	14	47
1	25	47
2	47	47
3	86	47
4	164	47
5	278	47
6	566	47
7	710	47
8	891	47
9	909	47
0	909	45