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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample651.0ms (12.3%)

Memory

21.5MiB live, 649.5MiB allocated

Samples

400.0ms

8 256×

valid

Precisions

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

ival-mult: 71.0ms (56.1% of total)

ival-add: 47.0ms (37.2% of total)

ival-true: 6.0ms (4.7% of total)

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

Bogosity

explain95.0ms (1.8%)

Memory

20.7MiB live, 130.6MiB 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

22.0ms

512×

valid

Compiler

Compiled 59 to 24 computations (59.3% saved)

Precisions

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

ival-add: 3.0ms (43.3% of total)

ival-mult: 3.0ms (43.3% of total)

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

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

preprocess115.0ms (2.2%)

Memory

-26.6MiB live, 62.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	50	35
2	210	35
3	533	35
4	1075	35
5	1970	35
6	2756	35
7	2900	35
8	2900	35
9	2900	35
10	2942	35
11	2958	35
0	4	7
0	6	7
1	13	7
2	29	7
3	57	7
4	80	7
5	96	7
6	105	7
7	111	7
0	111	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

0.9MiB live, 0.9MiB 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)

simplify4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB 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	13	12
2	29	12
3	57	12
4	80	12
5	96	12
6	105	12
7	111	12
0	111	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

localize22.0ms (0.4%)

Memory

-2.7MiB live, 33.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.01953125	(*.f64 (+.f64 x y) (+.f64 x y))

Samples

16.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-add: 2.0ms (44.5% of total)

ival-mult: 2.0ms (44.5% of total)

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

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

series4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB 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))
1.0ms	x	@	inf	((* (+ x y) (+ x y)) (+ x y))
1.0ms	x	@	-inf	((* (+ x y) (+ x y)) (+ x y))
1.0ms	y	@	inf	((* (+ x y) (+ x y)) (+ x y))
0.0ms	x	@	0	((* (+ x y) (+ x y)) (+ x y))

simplify144.0ms (2.7%)

Memory

-0.5MiB live, 83.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	193	125
2	488	125
3	1576	117
4	3867	117
5	6920	117
0	8073	101

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

rewrite352.0ms (6.6%)

Memory

-8.2MiB live, 270.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	8

Stop Event

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

Counts

2 → 989

Calls

Call 1

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

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

eval245.0ms (4.6%)

Memory: -14.8MiB live, 225.1MiB allocated
Compiler: Compiled 43 302 to 2 968 computations (93.1% saved)

prune26.0ms (0.5%)

Memory

24.1MiB live, 63.6MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1 083	5	1 088
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 083	6	1 089

Accuracy

100.0%

Counts

1 089 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(fma.f64 x x (fma.f64 y x (*.f64 (+.f64 y x) y)))
✓	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) y x) x (*.f64 y y)))
▶	62.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	62.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
▶	54.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 135 to 74 computations (45.2% saved)

simplify34.0ms (0.6%)

Memory

-27.1MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) y)
cost-diff	192	(fma.f64 y x (*.f64 (+.f64 y x) y))
cost-diff	384	(fma.f64 x x (fma.f64 y x (*.f64 (+.f64 y x) y)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) x y)
cost-diff	0	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
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))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal 2 binary64) y x)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y)))
cost-diff	384	(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	122
0	33	118
1	55	118
2	80	118
3	117	112
4	138	112
5	144	112
0	144	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (1%)

Memory

27.7MiB live, 109.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.00390625	(*.f64 (+.f64 y x) y)
accuracy	0.015625	(fma.f64 y x (*.f64 (+.f64 y x) y))
accuracy	1.4999834856333614	(fma.f64 x x (fma.f64 y x (*.f64 (+.f64 y x) y)))
accuracy	0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy	24.035608683730953	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
accuracy	0	(*.f64 y y)
accuracy	23.881674127944006	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	28.981473947115223	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
accuracy	0	(fma.f64 #s(literal 2 binary64) y x)
accuracy	0	(*.f64 y y)
accuracy	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y)))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))

Samples

37.0ms

256×

valid

Compiler

Compiled 229 to 40 computations (82.5% saved)

Precisions

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

ival-mult: 16.0ms (66.2% of total)

ival-add: 8.0ms (33.1% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.6%)

Memory

-14.1MiB live, 24.2MiB allocated

Counts

14 → 41

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	((+ (* (+ (* 2 y) x) x) (* y y)) (* (+ x y) (+ x y)) (+ (* 2 y) x) (* y y) (* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (* x x) (+ (* y x) (* (+ y x) y))) (+ (* y x) (* (+ y x) y)) (* (+ y x) y) (+ y x))
3.0ms	y	@	-inf	((+ (* (+ (* 2 y) x) x) (* y y)) (* (+ x y) (+ x y)) (+ (* 2 y) x) (* y y) (* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (* x x) (+ (* y x) (* (+ y x) y))) (+ (* y x) (* (+ y x) y)) (* (+ y x) y) (+ y x))
2.0ms	x	@	-inf	((+ (* (+ (* 2 y) x) x) (* y y)) (* (+ x y) (+ x y)) (+ (* 2 y) x) (* y y) (* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (* x x) (+ (* y x) (* (+ y x) y))) (+ (* y x) (* (+ y x) y)) (* (+ y x) y) (+ y x))
1.0ms	y	@	inf	((+ (* (+ (* 2 y) x) x) (* y y)) (* (+ x y) (+ x y)) (+ (* 2 y) x) (* y y) (* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (* x x) (+ (* y x) (* (+ y x) y))) (+ (* y x) (* (+ y x) y)) (* (+ y x) y) (+ y x))
1.0ms	x	@	0	((+ (* (+ (* 2 y) x) x) (* y y)) (* (+ x y) (+ x y)) (+ (* 2 y) x) (* y y) (* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (* x x) (+ (* y x) (* (+ y x) y))) (+ (* y x) (* (+ y x) y)) (* (+ y x) y) (+ y x))

simplify195.0ms (3.7%)

Memory

-25.6MiB live, 141.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	235
1	311	235
2	819	235
3	2337	227
4	4936	227
5	7548	227
0	8134	198

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 39

Calls

Call 1

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

rewrite286.0ms (5.4%)

Memory

28.7MiB live, 221.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	109
0	33	101
1	132	94
2	1150	94
0	8559	94

Stop Event

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

Counts

14 → 681

Calls

Call 1

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

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

eval153.0ms (2.9%)

Memory: -21.9MiB live, 140.8MiB allocated
Compiler: Compiled 21 697 to 2 155 computations (90.1% saved)

prune11.0ms (0.2%)

Memory

33.6MiB live, 33.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	699	2	701
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	701	6	707

Accuracy

100.0%

Counts

707 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	63.2%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 y #s(literal 2 binary64)) x (.f64 y y)))
✓	62.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	62.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	54.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
▶	100.0%	#s(approx (* (+ x y) (+ x y)) #s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))))

Compiler

Compiled 88 to 49 computations (44.3% saved)

simplify36.0ms (0.7%)

Memory

-41.0MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 y #s(literal 2 binary64)) x (.f64 y y)))
cost-diff	320	(fma.f64 (.f64 y #s(literal 2 binary64)) x (.f64 y y))
cost-diff	0	(fma.f64 #s(literal 2 binary64) x y)
cost-diff	0	#s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
cost-diff	0	#s(approx (* (+ x y) (+ x y)) #s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))))
cost-diff	384	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	102
0	28	102
1	47	98
2	68	94
3	104	94
4	125	84
5	137	84
6	144	84
0	144	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize70.0ms (1.3%)

Memory

4.7MiB live, 42.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.49999449521112044	(fma.f64 (.f64 y #s(literal 2 binary64)) x (.f64 y y))
accuracy	24.035608683730953	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 y #s(literal 2 binary64)) x (.f64 y y)))
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
accuracy	0	#s(approx (* (+ x y) (+ x y)) #s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))))
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))

Samples

29.0ms

256×

valid

Compiler

Compiled 169 to 40 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 12.0ms (61.8% of total)

ival-add: 7.0ms (36.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

9 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

simplify150.0ms (2.8%)

Memory

-6.5MiB live, 149.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	166
1	208	166
2	567	166
3	1656	158
4	3684	158
5	6226	158
0	8098	134

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

rewrite220.0ms (4.1%)

Memory

35.0MiB live, 227.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	96
0	28	92
1	115	88
2	936	84
0	8722	84

Stop Event

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

Counts

9 → 265

Calls

Call 1

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

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

eval183.0ms (3.5%)

Memory: -30.0MiB live, 52.6MiB allocated
Compiler: Compiled 11 209 to 1 121 computations (90% saved)

prune6.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	274	1	275
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	274	7	281

Accuracy

100.0%

Counts

281 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	63.2%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 y #s(literal 2 binary64)) x (.f64 y y)))
✓	62.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	62.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	54.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
✓	100.0%	#s(approx (* (+ x y) (+ x y)) #s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))))
▶	55.6%	#s(approx (* (+ x y) (+ x y)) #s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x))))

Compiler

Compiled 122 to 68 computations (44.3% saved)

simplify6.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	92
0	22	92
1	37	92
2	55	92
3	102	92
4	126	84
5	138	84
6	144	84
0	144	80

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize189.0ms (3.6%)

Memory

-31.4MiB live, 46.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x)))
accuracy	0	#s(approx (* (+ x y) (+ x y)) #s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x))))
accuracy	0.0078125	(fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x))
accuracy	34.74827233218037	#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))

Samples

109.0ms

256×

valid

Compiler

Compiled 137 to 36 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-add: 91.0ms (89.7% of total)

ival-mult: 10.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

4 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

simplify247.0ms (4.7%)

Memory

13.0MiB live, 132.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	137
1	188	137
2	484	137
3	1507	129
4	4201	129
5	6680	129
0	8063	108

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

rewrite515.0ms (9.7%)

Memory

5.7MiB live, 133.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	83
0	22	81
1	95	81
2	791	81
0	8522	73

Stop Event

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

Counts

4 → 55

Calls

Call 1

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

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

eval49.0ms (0.9%)

Memory: -23.1MiB live, 10.8MiB allocated
Compiler: Compiled 3 789 to 294 computations (92.2% saved)

prune4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	61	7	68

Accuracy

100.0%

Counts

68 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	63.2%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 y #s(literal 2 binary64)) x (.f64 y y)))
✓	62.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	62.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	54.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
✓	100.0%	#s(approx (* (+ x y) (+ x y)) #s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))))
✓	55.6%	#s(approx (* (+ x y) (+ x y)) #s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x))))

Compiler

Compiled 272 to 108 computations (60.3% saved)

regimes14.0ms (0.3%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes48.0ms (0.9%)

Memory

-19.5MiB live, 17.1MiB allocated

Counts

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

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

Calls

4 calls:

38.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	x

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes11.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB 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) x y) y))
(*.f64 (+.f64 x y) (+.f64 x y))
#s(approx (* (+ x y) (+ x y)) #s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x))))
#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 y #s(literal 2 binary64)) x (.f64 y y)))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB 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) x y) y))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.0%	2	`x`
90.0%	2	`y`
62.7%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
99.4%	2	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes11.0ms (0.2%)

Memory

-32.2MiB live, 4.6MiB 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:

11.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
99.2%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes5.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB 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
54.7%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
54.7%	1	`x`
54.7%	1	`y`
54.7%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.022131280896856e-156	-7.412714211129876e-163

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.022131280896856e-156	-7.412714211129876e-163

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify198.0ms (3.7%)

Memory

-25.4MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	123
1	31	123

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) #s(approx (+ (* (+ (* 2 y) x) x) (* y 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 -7729075046034517/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -7729075046034517/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 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) y x) x (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) #s(approx (+ (* (+ (* 2 y) x) x) (* y y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))))
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -7729075046034517/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 y x) #s(literal -7729075046034517/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -7729075046034517/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
(if (<=.f64 (+.f64 y x) #s(literal -7729075046034517/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 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))

soundness833.0ms (15.7%)

Memory

5.7MiB live, 279.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	193	125
2	488	125
3	1576	117
4	3867	117
5	6920	117
0	8073	101
0	98	235
1	311	235
2	819	235
3	2337	227
4	4936	227
5	7548	227
0	8134	198

Stop Event

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

Compiler

Compiled 135 to 48 computations (64.4% saved)

preprocess67.0ms (1.3%)

Memory: 14.7MiB live, 129.4MiB allocated
Compiler: Compiled 354 to 122 computations (65.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample651.0ms (12.3%)

explain95.0ms (1.8%)

preprocess115.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize22.0ms (0.4%)

series4.0ms (0.1%)

simplify144.0ms (2.7%)

rewrite352.0ms (6.6%)

eval245.0ms (4.6%)

prune26.0ms (0.5%)

simplify34.0ms (0.6%)

localize51.0ms (1%)

series32.0ms (0.6%)

simplify195.0ms (3.7%)

rewrite286.0ms (5.4%)

eval153.0ms (2.9%)

prune11.0ms (0.2%)

simplify36.0ms (0.7%)

localize70.0ms (1.3%)

series6.0ms (0.1%)

simplify150.0ms (2.8%)

rewrite220.0ms (4.1%)

eval183.0ms (3.5%)

prune6.0ms (0.1%)

simplify6.0ms (0.1%)

localize189.0ms (3.6%)

series3.0ms (0.1%)

simplify247.0ms (4.7%)

rewrite515.0ms (9.7%)

eval49.0ms (0.9%)

prune4.0ms (0.1%)

regimes14.0ms (0.3%)

regimes48.0ms (0.9%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify198.0ms (3.7%)

soundness833.0ms (15.7%)

preprocess67.0ms (1.3%)

end0.0ms (0%)

Profiling