Metrics for Examples.Basics.BasicTests:f3 from sbv-4.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample700.0ms (18.6%)

Memory

-33.7MiB live, 881.0MiB allocated

Samples

349.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 60.0ms (47.6% of total)

ival-add: 57.0ms (45.2% of total)

ival-true: 6.0ms (4.8% of total)

ival-assert: 3.0ms (2.4% of total)

Bogosity

explain43.0ms (1.2%)

Memory

11.2MiB live, 104.0MiB allocated

FPErrors

Click to see full error table

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

19.0ms

512×

valid

Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions

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

ival-add: 3.0ms (42.7% of total)

ival-mult: 3.0ms (42.7% of total)

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

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

preprocess188.0ms (5%)

Memory

-9.1MiB live, 136.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	49	45
2	194	41
3	684	39
4	1068	39
5	1714	35
6	2992	35
7	3766	35
8	4258	35
9	4370	35
10	4482	35
11	4482	35
12	4602	35
13	4782	35
14	4962	35
0	4	7
0	6	7
1	17	7
2	53	7
3	170	7
4	506	7
5	852	7
6	1525	7
7	2334	7
8	2779	7
9	3057	7
10	3181	7
11	3217	7
0	3217	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify60.0ms (1.6%)

Memory

25.2MiB live, 68.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	17	12
2	53	12
3	170	12
4	506	12
5	852	12
6	1525	12
7	2334	12
8	2779	12
9	3057	12
10	3181	12
11	3217	12
0	3217	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.8%)

Memory

-3.3MiB live, 46.7MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

25.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 8.0ms (78.7% of total)

ival-add: 1.0ms (9.8% of total)

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

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

series2.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

2 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

simplify227.0ms (6%)

Memory

-27.5MiB live, 245.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	179
1	218	169
2	725	161
3	3280	161
0	8199	147

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite295.0ms (7.9%)

Memory

0.0MiB live, 359.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	32	8
2	253	8
3	3131	8
0	9441	8

Stop Event

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

Counts

2 → 505

Calls

Call 1

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

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

eval117.0ms (3.1%)

Memory: -0.1MiB live, 142.0MiB allocated
Compiler: Compiled 16 595 to 1 409 computations (91.5% saved)

prune13.0ms (0.3%)

Memory

4.6MiB live, 49.1MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	714	4	718
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	714	5	719

Accuracy

100.0%

Counts

719 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	100.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
▶	52.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶	62.1%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
▶	51.9%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 60 to 33 computations (45% saved)

simplify59.0ms (1.6%)

Memory

23.8MiB live, 68.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	93
0	24	93
1	56	93
2	154	89
3	428	89
4	766	89
5	1101	89
6	1539	89
7	2175	89
8	2600	89
9	2844	89
10	2976	89
0	2976	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1.7%)

Memory

-31.1MiB live, 69.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) y x)
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
accuracy	30.326161857833828	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
accuracy	0.0	(*.f64 y y)
accuracy	24.254964530013943	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	30.79235151026652	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Samples

55.0ms

256×

valid

Compiler

Compiled 75 to 16 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (67.7% of total)

ival-add: 5.0ms (28.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

10 → 30

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y))
1.0ms	x	@	-inf	((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y))
1.0ms	y	@	-inf	((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y))
1.0ms	x	@	0	((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y))
1.0ms	y	@	inf	((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (+ (* 2 x) y) y) (* x x)) (* (+ x y) (+ x y)) (+ (* 2 x) y))

simplify220.0ms (5.8%)

Memory

20.8MiB live, 254.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	262
1	269	254
2	911	242
3	3816	242
0	8405	225

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 28

Calls

Call 1

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

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

rewrite208.0ms (5.5%)

Memory

-11.4MiB live, 263.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	82
0	24	74
1	102	74
2	841	66
0	9733	66

Stop Event

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

Counts

10 → 562

Calls

Call 1

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

Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal -2 binary64) y x) x))
(*.f64 (fma.f64 #s(literal -2 binary64) y x) x)
(*.f64 x (fma.f64 #s(literal -2 binary64) y x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y x) x) #s(literal 2 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) y x) x)))
(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y x) x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) y (.f64 x x)) x)) (fma.f64 #s(literal -2 binary64) y x))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal -2 binary64) y (.f64 x x)))) (fma.f64 #s(literal -2 binary64) y x))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) y (.f64 x x)) x) (fma.f64 #s(literal -2 binary64) y x))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x)))
(/.f64 (.f64 x (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (fma.f64 #s(literal -2 binary64) y x))
(/.f64 (.f64 x (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x)))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y x) x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y x) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) y x) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 #s(literal -2 binary64) (.f64 y x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (neg.f64 y) (.f64 #s(literal -2 binary64) y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 y x) #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) x (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) x))
(fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 #s(literal -2 binary64) (.f64 y x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 y) (.f64 #s(literal -2 binary64) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 y x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) x (.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 y x) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (+.f64 y x) x (*.f64 y x))
(fma.f64 y (.f64 #s(literal -2 binary64) y) (.f64 x x))
(fma.f64 y x (*.f64 (+.f64 y x) x))
(fma.f64 x (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) (.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x)))))
(fma.f64 x (.f64 #s(literal -2 binary64) y) (.f64 x x))
(fma.f64 x (+.f64 y x) (*.f64 y x))
(fma.f64 x y (*.f64 (+.f64 y x) x))
(fma.f64 x x (.f64 #s(literal -2 binary64) (.f64 y x)))
(fma.f64 x x (.f64 (neg.f64 y) (.f64 #s(literal -2 binary64) y)))
(fma.f64 x x (.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) y)))
(fma.f64 x x (.f64 (.f64 y x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) y x) x)) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y x) x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y x) x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(-.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) y)))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 y x) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) x) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 (fma.f64 #s(literal -2 binary64) y x) x))) x))
(+.f64 (.f64 x (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x)))) (.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 (fma.f64 #s(literal -2 binary64) y x) x)))))
(+.f64 (.f64 (+.f64 y x) x) (.f64 y x))
(+.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (.f64 y x) (.f64 (+.f64 y x) x))
(+.f64 (.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) y)))
(+.f64 (.f64 x x) (.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)))
(+.f64 (.f64 x x) (.f64 (*.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y x)) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y x))) (.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) y x)) (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) y x)))) (fma.f64 #s(literal -2 binary64) y x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))))) (fma.f64 #s(literal -2 binary64) y x))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (+.f64 y x) y))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 y (+.f64 y x)))
(/.f64 (-.f64 (.f64 y y) (.f64 (-.f64 y x) (-.f64 y x))) (-.f64 y (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y x)) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y x)) (fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) y x)) (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) y x)) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) y x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x)))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (+.f64 y x) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 y (-.f64 y x)))))
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y (.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) y x) (.f64 x x))) (fma.f64 #s(literal -2 binary64) y (*.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x)) (.f64 (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y x) x)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (.f64 #s(literal -2 binary64) y) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) y x) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 x x)) (fma.f64 #s(literal -2 binary64) y x))
(/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 (fma.f64 #s(literal -2 binary64) y x) x)))))
(/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 (fma.f64 #s(literal -2 binary64) y x) x))))
(/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) y (*.f64 (fma.f64 #s(literal -2 binary64) y x) x)))
(neg.f64 (fma.f64 #s(literal -2 binary64) y x))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal 8 binary64) (.f64 y y)) y x)
(fma.f64 (.f64 #s(literal 8 binary64) y) (.f64 y y) x)
(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 #s(literal 8 binary64) x) (.f64 x x) x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 4 binary64) y)) y x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 4 binary64) y)) x x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 4 binary64)) (*.f64 y y) x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 4 binary64)) (*.f64 x x) x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)) x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) (.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64) x)
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) (.f64 #s(literal 4 binary64) y)) (.f64 y y) x)
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) (.f64 #s(literal 4 binary64) y)) (.f64 x x) x)
(fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) x)
(fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)) x)
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/2 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (-.f64 y x))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (+.f64 y x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (-.f64 y x))
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(fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x y)
(fma.f64 (.f64 #s(literal 8 binary64) x) (.f64 x x) y)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 4 binary64) y)) y y)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 4 binary64) y)) x y)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 4 binary64)) (*.f64 y y) y)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 4 binary64)) (*.f64 x x) y)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)) y)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)) y)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) y) (.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64) y)
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) (.f64 #s(literal 4 binary64) y)) (.f64 y y) y)
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) (.f64 #s(literal 4 binary64) y)) (.f64 x x) y)
(fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) y)
(fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) y)
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)) y)
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (+.f64 y x))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) y)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 #s(literal -2 binary64) y))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) y)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) y)
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) y)
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(fma.f64 (neg.f64 x) #s(literal 2 binary64) y)
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(fma.f64 #s(literal 2 binary64) (.f64 (.f64 y x) #s(literal 2 binary64)) y)
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(-.f64 (+.f64 x (/.f64 (.f64 x x) (-.f64 x y))) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 y y) (fma.f64 #s(literal -2 binary64) y y)) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y y)))
(-.f64 (-.f64 y x) x)
(-.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 #s(literal -2 binary64) y) y)) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal -2 binary64) y) y)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (-.f64 (/.f64 (.f64 y y) (-.f64 x y)) x))
(-.f64 y (*.f64 #s(literal -2 binary64) y))
(+.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y y) y))) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 (fma.f64 #s(literal -2 binary64) y y) y))))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 (fma.f64 #s(literal -2 binary64) y y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 (fma.f64 #s(literal -2 binary64) y y) y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) x))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 #s(literal -2 binary64) y) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 #s(literal -2 binary64) y) y)))
(+.f64 (*.f64 #s(literal -2 binary64) y) y)
(+.f64 (+.f64 y x) x)
(+.f64 y (*.f64 #s(literal -2 binary64) y))
(+.f64 x (+.f64 y x))

eval132.0ms (3.5%)

Memory: 14.8MiB live, 161.5MiB allocated
Compiler: Compiled 16 265 to 1 998 computations (87.7% saved)

prune39.0ms (1%)

Memory

-15.2MiB live, 29.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	599	1	600
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	599	6	605

Accuracy

100.0%

Counts

605 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	100.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
▶	49.1%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 x x)))
✓	52.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	62.1%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	51.9%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 76 to 42 computations (44.7% saved)

simplify63.0ms (1.7%)

Memory

1.1MiB live, 58.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	13	33
1	37	33
2	104	31
3	287	31
4	611	31
5	955	31
6	1555	31
7	2228	31
8	2562	31
9	2810	31
10	2882	31
0	2882	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.7%)

Memory

6.2MiB live, 51.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 x x)
accuracy	2.550775057490618	(fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 x x))
accuracy	30.326161857833828	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 x x)))

Samples

21.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-mult: 6.0ms (63.5% of total)

ival-add: 3.0ms (31.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

4 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify244.0ms (6.5%)

Memory

-2.1MiB live, 343.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	169
1	194	161
2	746	153
3	3534	141
0	8267	130

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite197.0ms (5.2%)

Memory

0.6MiB live, 317.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
0	13	28
1	63	28
2	503	26
3	6243	26
0	8248	24

Stop Event

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

Counts

4 → 145

Calls

Call 1

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

Outputs
(.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)))) (neg.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 64 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (*.f64 x y)) #s(literal 4 binary64))))
(.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (/.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 x (-.f64 (.f64 #s(literal 2 binary64) y) x))
(.f64 x (-.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 x)))
(.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (neg.f64 x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (.f64 x y) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 (.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64))) (neg.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(neg.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 64 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (+.f64 x y) x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 x y) x (.f64 y y)) (.f64 x y))
(fma.f64 (/.f64 (.f64 (.f64 (+.f64 x y) x) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y) (.f64 x y))
(fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)) (.f64 x y))
(fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x y))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 64 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (neg.f64 (.f64 (neg.f64 y) x)) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal 2 binary64) x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 #s(literal -2 binary64) (.f64 x y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 x y)) (/.f64 (.f64 x y) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) y) (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 x x))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3/2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 (fabs.f64 (.f64 #s(literal -2 binary64) (.f64 x y))) (/.f64 (fabs.f64 (.f64 #s(literal -2 binary64) (.f64 x y))) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) x) y (.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) y (.f64 x x))
(fma.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 x (-.f64 x y)) (.f64 x y))
(fma.f64 (.f64 y y) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 x y))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 (.f64 (neg.f64 y) x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal 2 binary64) x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 #s(literal -2 binary64) (.f64 x y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 (neg.f64 x) x (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 (+.f64 x y) x (*.f64 x y))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 #s(literal 2 binary64) (.f64 x y) (.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (.f64 x y) (.f64 x x))
(fma.f64 (.f64 x y) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 (.f64 x y) #s(literal 2 binary64) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 x y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 x (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 x) x))
(fma.f64 x (.f64 #s(literal 2 binary64) y) (.f64 x x))
(fma.f64 x (neg.f64 x) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 x (+.f64 x y) (*.f64 x y))
(fma.f64 x x (.f64 (neg.f64 (.f64 (neg.f64 y) x)) #s(literal 2 binary64)))
(fma.f64 x x (.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal 2 binary64) x)))
(fma.f64 x x (.f64 #s(literal -2 binary64) (.f64 x y)))
(fma.f64 x x (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 x y (fma.f64 x y (*.f64 (neg.f64 x) x)))
(fma.f64 x y (-.f64 (.f64 x y) (.f64 x x)))
(fma.f64 x y (*.f64 (+.f64 x y) x))
(fma.f64 y (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x y)) x) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(fma.f64 y (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 x) x))
(fma.f64 y (.f64 #s(literal 2 binary64) x) (.f64 x x))
(fma.f64 y x (fma.f64 x y (*.f64 (neg.f64 x) x)))
(fma.f64 y x (-.f64 (.f64 x y) (.f64 x x)))
(fma.f64 y x (*.f64 (+.f64 x y) x))
(-.f64 (.f64 x (-.f64 x y)) (.f64 x y))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 x y)))
(-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(+.f64 (.f64 (+.f64 x y) x) (.f64 x y))
(+.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 (neg.f64 y) x)) #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 x y)))
(+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 (.f64 x y) (fma.f64 x y (.f64 (neg.f64 x) x)))
(+.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 x x)))
(+.f64 (.f64 x y) (.f64 (+.f64 x y) x))
#s(approx (* (+ x y) (+ x y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(*.f64 x y)
(*.f64 y x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval48.0ms (1.3%)

Memory: -26.0MiB live, 35.3MiB allocated
Compiler: Compiled 4 618 to 544 computations (88.2% saved)

prune5.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	156	6	162

Accuracy

100.0%

Counts

162 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	100.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
✓	49.1%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 x x)))
✓	52.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	62.1%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	51.9%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 152 to 62 computations (59.2% saved)

regimes21.0ms (0.5%)

Memory

-20.8MiB live, 23.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	(+.f64 x y)
2.0ms	x
2.0ms	y
2.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes9.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes10.0ms (0.3%)

Memory

-24.8MiB live, 19.7MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(+.f64 x y)
2.0ms	y
2.0ms	x
1.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
99.7%	2	`(+.f64 x y)`
62.1%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
86.8%	2	`x`
91.9%	2	`y`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
99.3%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes4.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.9%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
51.9%	1	`x`
51.9%	1	`y`
51.9%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0493731686757064e-150	-1.5242895410424235e-172

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0493731686757064e-150	-1.5242895410424235e-172

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify54.0ms (1.4%)

Memory

4.3MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	34	94
2	72	94
3	192	94
4	535	94
5	900	94
6	1728	94
7	4102	94
8	6228	94

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
(if (<=.f64 (+.f64 x y) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Outputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
(if (<=.f64 (+.f64 x y) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

soundness603.0ms (16.1%)

Memory

-42.3MiB live, 273.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	179
1	218	169
2	725	161
3	3280	161
0	8199	147

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 121 to 44 computations (63.6% saved)

preprocess60.0ms (1.6%)

Memory: 6.1MiB live, 92.4MiB allocated
Compiler: Compiled 296 to 104 computations (64.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample700.0ms (18.6%)

explain43.0ms (1.2%)

preprocess188.0ms (5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify60.0ms (1.6%)

localize28.0ms (0.8%)

series2.0ms (0.1%)

simplify227.0ms (6%)

rewrite295.0ms (7.9%)

eval117.0ms (3.1%)

prune13.0ms (0.3%)

simplify59.0ms (1.6%)

localize63.0ms (1.7%)

series7.0ms (0.2%)

simplify220.0ms (5.8%)

rewrite208.0ms (5.5%)

eval132.0ms (3.5%)

prune39.0ms (1%)

simplify63.0ms (1.7%)

localize27.0ms (0.7%)

series5.0ms (0.1%)

simplify244.0ms (6.5%)

rewrite197.0ms (5.2%)

eval48.0ms (1.3%)

prune5.0ms (0.1%)

regimes21.0ms (0.5%)

regimes9.0ms (0.2%)

regimes10.0ms (0.3%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify54.0ms (1.4%)

soundness603.0ms (16.1%)

preprocess60.0ms (1.6%)

end0.0ms (0%)

Profiling