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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample728.0ms (12.2%)

Memory

-15.3MiB live, 713.0MiB allocated

Samples

465.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-mult: 166.0ms (72% of total)

ival-add: 55.0ms (23.8% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain98.0ms (1.6%)

Memory

2.9MiB live, 42.3MiB 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

17.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-add: 3.0ms (45.6% of total)

ival-mult: 3.0ms (45.6% of total)

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

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

preprocess330.0ms (5.5%)

Memory

0.6MiB live, 273.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	63	35
2	302	35
3	958	35
4	3626	32
5	6577	32
0	4	7
0	6	7
1	18	7
2	59	7
3	267	7
4	1698	6
5	3929	6
6	7358	6
0	8458	6

Stop Event

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

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)))

Symmetry

(sort x y)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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)

simplify266.0ms (4.5%)

Memory

-0.5MiB live, 157.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	-6592	(*.f64 (+.f64 x y) (+.f64 x y))
cost-diff	0	(+.f64 x y)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	18	12
2	59	12
3	267	12
4	1698	11
5	3929	11
6	7358	11
0	8458	11

Stop Event

1×	iter limit
1×	node limit
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))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)))
(+.f64 x y)
(+.f64 y x)
x
y

localize12.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.01171875	(*.f64 (+.f64 x y) (+.f64 x y))

Samples

8.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (61.5% of total)

ival-add: 1.0ms (30.8% of total)

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

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

series2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

2 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

simplify236.0ms (3.9%)

Memory

-17.8MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	221	125
2	742	125
3	3333	117
0	8741	101

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite213.0ms (3.6%)

Memory

18.7MiB live, 141.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	33	8
2	275	8
3	4181	8
0	9386	8

Stop Event

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

Counts

2 → 606

Calls

Call 1

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

Outputs
(.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.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))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 y 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 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 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 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (-.f64 y x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (-.f64 y x))
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 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 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 y x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(.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 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)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.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))) (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))) (+.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 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x))
(.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (-.f64 x (neg.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x))) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) x) y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (fabs.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fabs.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 (/.f64 (-.f64 y x) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) #s(literal 1 binary64)))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 (.f64 (-.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (-.f64 y x) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (-.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
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(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x (neg.f64 x)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (neg.f64 (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (.f64 y x) (.f64 (-.f64 y x) y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y x (*.f64 (-.f64 y x) y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x)) (*.f64 (neg.f64 (neg.f64 y)) (-.f64 y x)))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 x (-.f64 y x)) (*.f64 (-.f64 y x) y))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 y (-.f64 y x)) (*.f64 (-.f64 y x) (neg.f64 x)))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 y (-.f64 y x)) (*.f64 (neg.f64 x) (-.f64 y x)))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 (-.f64 y x) x)))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 y (-.f64 y x)) (*.f64 (-.f64 y x) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x) (.f64 (neg.f64 (neg.f64 y)) (-.f64 y x)))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x) (.f64 (-.f64 y x) y))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) y) (.f64 (-.f64 y x) (neg.f64 x)))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) y) (.f64 (neg.f64 x) (-.f64 y x)))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) y) (neg.f64 (.f64 (-.f64 y x) x)))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) y) (.f64 (-.f64 y x) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (neg.f64 (neg.f64 y)) (-.f64 y x)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (-.f64 y x) y))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (-.f64 y x) (neg.f64 x)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (neg.f64 x) (-.f64 y x)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (-.f64 y x) y (.f64 x x))) (neg.f64 (.f64 (-.f64 y x) x)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (-.f64 y x) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) x) (*.f64 (neg.f64 (neg.f64 y)) (-.f64 y x)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) x) (*.f64 (-.f64 y x) y))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) y) (*.f64 (-.f64 y x) (neg.f64 x)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) y) (*.f64 (neg.f64 x) (-.f64 y x)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) y) (neg.f64 (*.f64 (-.f64 y x) x)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) y) (*.f64 (-.f64 y x) x))
(fma.f64 (-.f64 y x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (-.f64 y x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 (-.f64 y x) (neg.f64 y) (*.f64 (-.f64 y x) (neg.f64 x)))
(fma.f64 (-.f64 y x) (neg.f64 y) (*.f64 (neg.f64 x) (-.f64 y x)))
(fma.f64 (-.f64 y x) (neg.f64 y) (neg.f64 (*.f64 (-.f64 y x) x)))
(fma.f64 (-.f64 y x) (neg.f64 y) (*.f64 (-.f64 y x) x))
(fma.f64 (-.f64 y x) (neg.f64 x) (*.f64 (-.f64 y x) y))
(fma.f64 (-.f64 y x) y (*.f64 (-.f64 y x) (neg.f64 x)))
(fma.f64 (-.f64 y x) y (*.f64 (neg.f64 x) (-.f64 y x)))
(fma.f64 (-.f64 y x) y (neg.f64 (*.f64 (-.f64 y x) x)))
(fma.f64 (-.f64 y x) y (*.f64 (-.f64 y x) x))
(fma.f64 (-.f64 y x) x (*.f64 (neg.f64 (neg.f64 y)) (-.f64 y x)))
(fma.f64 (-.f64 y x) x (*.f64 (-.f64 y x) y))
(fma.f64 y (neg.f64 y) (*.f64 x x))
(fma.f64 y (-.f64 y x) (*.f64 (-.f64 y x) (neg.f64 x)))
(fma.f64 y (-.f64 y x) (*.f64 (neg.f64 x) (-.f64 y x)))
(fma.f64 y (-.f64 y x) (neg.f64 (*.f64 (-.f64 y x) x)))
(fma.f64 y (-.f64 y x) (*.f64 (-.f64 y x) x))
(fma.f64 y y (fma.f64 y x (*.f64 (-.f64 y x) x)))
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 y y (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(fma.f64 y y (*.f64 (neg.f64 x) x))
(fma.f64 y y (*.f64 x (neg.f64 x)))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(fma.f64 y x (fma.f64 (-.f64 y x) y (*.f64 x x)))
(fma.f64 x (-.f64 y x) (*.f64 (neg.f64 (neg.f64 y)) (-.f64 y x)))
(fma.f64 x (-.f64 y x) (*.f64 (-.f64 y x) y))
(fma.f64 x y (fma.f64 (-.f64 y x) y (*.f64 x x)))
(fma.f64 x x (-.f64 (.f64 y x) (.f64 (-.f64 y x) y)))
(fma.f64 x x (fma.f64 y x (*.f64 (-.f64 y x) y)))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)))
(-.f64 (-.f64 (.f64 (-.f64 y x) x) (.f64 y x)) (*.f64 y y))
(-.f64 (-.f64 (.f64 (-.f64 y x) x) (.f64 y y)) (*.f64 y x))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 (.f64 (-.f64 y x) y) (.f64 (neg.f64 x) (-.f64 y x)))
(-.f64 (.f64 (-.f64 y x) y) (.f64 (-.f64 y x) x))
(-.f64 (.f64 (-.f64 y x) x) (.f64 (-.f64 y x) y))
(-.f64 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) y))
(-.f64 (.f64 x x) (.f64 y y))
(fabs.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(hypot.f64 (neg.f64 (.f64 (-.f64 y x) x)) (fabs.f64 (.f64 (-.f64 y x) y)))
(hypot.f64 (neg.f64 (.f64 (-.f64 y x) x)) (.f64 (-.f64 y x) y))
(hypot.f64 (fabs.f64 (.f64 (-.f64 y x) x)) (fabs.f64 (.f64 (-.f64 y x) y)))
(hypot.f64 (fabs.f64 (.f64 (-.f64 y x) x)) (.f64 (-.f64 y x) y))
(hypot.f64 (.f64 (-.f64 y x) x) (fabs.f64 (.f64 (-.f64 y x) y)))
(hypot.f64 (.f64 (-.f64 y x) x) (.f64 (-.f64 y x) y))
(exp.f64 (/.f64 (fma.f64 (log.f64 (-.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 (-.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(+.f64 (fma.f64 (-.f64 y x) y (.f64 y x)) (.f64 x x))
(+.f64 (fma.f64 (-.f64 y x) x (.f64 y x)) (.f64 y y))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (-.f64 y x)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (-.f64 y x)))
(+.f64 (.f64 (-.f64 y x) (neg.f64 x)) (.f64 (-.f64 y x) y))
(+.f64 (.f64 (-.f64 y x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (.f64 (-.f64 y x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (.f64 (neg.f64 x) (-.f64 y x)) (.f64 (-.f64 y x) y))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) x) y))) (/.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) x) y))))
(+.f64 (neg.f64 (.f64 (-.f64 y x) x)) (.f64 (-.f64 y x) y))
(+.f64 (neg.f64 (.f64 x x)) (.f64 y y))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))
(+.f64 (.f64 (neg.f64 y) y) (.f64 x x))
(+.f64 (.f64 (-.f64 y x) y) (.f64 (-.f64 y x) (neg.f64 x)))
(+.f64 (.f64 (-.f64 y x) y) (.f64 (neg.f64 x) (-.f64 y x)))
(+.f64 (.f64 (-.f64 y x) y) (neg.f64 (.f64 (-.f64 y x) x)))
(+.f64 (.f64 (-.f64 y x) y) (.f64 (-.f64 y x) x))
(+.f64 (.f64 (-.f64 y x) x) (.f64 (neg.f64 (neg.f64 y)) (-.f64 y x)))
(+.f64 (.f64 (-.f64 y x) x) (.f64 (-.f64 y x) y))
(+.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 y x))
(+.f64 (.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x)))
(+.f64 (.f64 y y) (fma.f64 y x (.f64 (-.f64 y x) x)))
(+.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 (.f64 y y) (.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(+.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(+.f64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 y y) (neg.f64 (.f64 x x)))
(+.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 (-.f64 y x) y)))
(+.f64 (.f64 x x) (fma.f64 y x (.f64 (-.f64 y x) y)))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) y))

eval273.0ms (4.6%)

Memory: -21.3MiB live, 169.8MiB allocated
Compiler: Compiled 16 578 to 1 500 computations (91% saved)

prune50.0ms (0.8%)

Memory

18.6MiB live, 56.1MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	808	5	813
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	808	6	814

Accuracy

100.0%

Counts

814 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	100.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
▶	59.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶	53.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	54.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
▶	60.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 141 to 78 computations (44.7% saved)

simplify275.0ms (4.6%)

Memory

1.6MiB live, 164.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 2 binary64) y x)
cost-diff	0	(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
cost-diff	0	(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	-6208	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 2 binary64) x y)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	120
0	26	120
1	61	120
2	170	116
3	643	116
4	2761	109
5	5002	109
6	7220	109
0	8155	109

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
#s(approx (* (+ x y) (+ x y)) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
#s(literal 2 binary64)
x
y
(*.f64 x x)
#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
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(fma.f64 #s(literal 2 binary64) y x)
#s(literal 2 binary64)
y
x

localize124.0ms (2.1%)

Memory

-28.5MiB live, 137.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 2 binary64) y x)
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
accuracy	25.755090463211555	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
accuracy	0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy	29.797868046047412	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
accuracy	0	(*.f64 y y)
accuracy	29.297514030473476	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	25.314535102832956	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
accuracy	0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))

Samples

112.0ms

256×

valid

Compiler

Compiled 217 to 33 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 31.0ms (75.4% of total)

ival-mult: 10.0ms (24.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

12 → 33

Calls

Call 1

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

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

Calls

6 calls:

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

simplify177.0ms (3%)

Memory

-8.8MiB live, 147.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	205
1	294	205
2	1039	205
3	4173	181
0	8603	161

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

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

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

rewrite364.0ms (6.1%)

Memory

11.1MiB live, 321.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	102
0	26	92
1	107	92
2	908	92
0	8972	92

Stop Event

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

Counts

12 → 526

Calls

Call 1

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

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

eval408.0ms (6.8%)

Memory: -20.0MiB live, 265.1MiB allocated
Compiler: Compiled 18 892 to 2 221 computations (88.2% saved)

prune46.0ms (0.8%)

Memory

2.6MiB live, 42.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	715	1	716
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	716	6	722

Accuracy

100.0%

Counts

722 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	61.3%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 x x)))
✓	59.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	53.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	54.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	60.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 73 to 41 computations (43.8% saved)

simplify201.0ms (3.4%)

Memory

28.7MiB live, 188.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	13	31
1	42	31
2	128	31
3	458	31
4	2189	30
5	4484	30
6	7269	30
0	8466	28

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (1.3%)

Memory

-25.1MiB live, 94.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	1.0117077404222408	(fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 x x))
accuracy	25.755090463211555	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 x x)))

Samples

46.0ms

256×

valid

Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 32.0ms (82.3% of total)

ival-add: 7.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify177.0ms (3%)

Memory

-23.0MiB live, 182.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	169
1	194	161
2	743	153
3	3316	141
0	8244	130

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite268.0ms (4.5%)

Memory

20.7MiB live, 264.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
0	13	26
1	68	26
2	572	26
0	8388	24

Stop Event

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

Counts

4 → 314

Calls

Call 1

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

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

eval45.0ms (0.8%)

Memory: -22.3MiB live, 96.4MiB allocated
Compiler: Compiled 8 872 to 983 computations (88.9% saved)

prune6.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	324	1	325
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	325	6	331

Accuracy

100.0%

Counts

331 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	61.3%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 y y) x (*.f64 x x)))
✓	59.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	53.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	54.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	60.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 73 to 40 computations (45.2% saved)

simplify240.0ms (4%)

Memory

-7.0MiB live, 187.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-128	(+.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 y y) x (*.f64 x x)))
cost-diff	320	(fma.f64 (+.f64 y y) x (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	12	30
1	37	30
2	119	30
3	467	30
4	2206	29
5	4486	29
6	7267	29
0	8434	27

Stop Event

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

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

-2.7MiB live, 32.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	1.0117077404222408	(fma.f64 (+.f64 y y) x (*.f64 x x))
accuracy	25.755090463211555	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 y y) x (*.f64 x x)))

Samples

14.0ms

256×

valid

Compiler

Compiled 58 to 18 computations (69% saved)

Precisions

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

ival-mult: 5.0ms (60.2% of total)

ival-add: 3.0ms (36.1% of total)

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

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

series3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

4 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify167.0ms (2.8%)

Memory

-10.9MiB live, 149.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	169
1	194	161
2	743	153
3	3316	141
0	8244	130

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite56.0ms (0.9%)

Memory

10.6MiB live, 46.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	12	26
1	69	26
0	617	24

Stop Event

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

Counts

4 → 65

Calls

Call 1

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

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

eval8.0ms (0.1%)

Memory: 16.9MiB live, 16.9MiB allocated
Compiler: Compiled 1 653 to 265 computations (84% saved)

prune5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	76	6	82

Accuracy

100.0%

Counts

82 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	61.3%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 y y) x (*.f64 x x)))
✓	59.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	53.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	54.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	60.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 179 to 65 computations (63.7% saved)

regimes47.0ms (0.8%)

Memory

-21.2MiB live, 30.5MiB allocated

Counts

8 → 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))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(*.f64 (+.f64 x y) (+.f64 x y))
#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 y y) x (*.f64 x x)))
#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 x x)))
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))

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

Calls

4 calls:

37.0ms	(+.f64 x y)
3.0ms	x
3.0ms	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)

regimes103.0ms (1.7%)

Memory

-16.1MiB live, 23.1MiB allocated

Counts

4 → 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))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))

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

Calls

4 calls:

97.0ms	y
2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
88.7%	2	`x`
89.8%	2	`y`
67.9%	5	`(*.f64 (+.f64 x y) (+.f64 x y))`
99.5%	2	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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

1 calls:

2.0ms

(+.f64 x y)

Results

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

Compiler

Compiled 3 to 3 computations (0% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
99.0%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes5.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB 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	x
1.0ms	(+.f64 x y)
1.0ms	y
1.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
60.4%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
60.4%	1	`x`
60.4%	1	`y`
60.4%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.04337311100072e-161	-6.657787241544691e-167

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.04337311100072e-161	-6.657787241544691e-167

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.04337311100072e-161	-6.657787241544691e-167

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify67.0ms (1.1%)

Memory

-12.6MiB live, 66.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	111
1	25	111

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) y 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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) y 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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) y 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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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 -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 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))

soundness790.0ms (13.2%)

Memory

-22.4MiB live, 221.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	221	125
2	742	125
3	3333	117
0	8741	101

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 129 to 43 computations (66.7% saved)

preprocess60.0ms (1%)

Memory: 33.3MiB live, 71.9MiB allocated
Remove: (sort x y)
Compiler: Compiled 290 to 86 computations (70.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample728.0ms (12.2%)

explain98.0ms (1.6%)

preprocess330.0ms (5.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify266.0ms (4.5%)

localize12.0ms (0.2%)

series2.0ms (0%)

simplify236.0ms (3.9%)

rewrite213.0ms (3.6%)

eval273.0ms (4.6%)

prune50.0ms (0.8%)

simplify275.0ms (4.6%)

localize124.0ms (2.1%)

series8.0ms (0.1%)

simplify177.0ms (3%)

rewrite364.0ms (6.1%)

eval408.0ms (6.8%)

prune46.0ms (0.8%)

simplify201.0ms (3.4%)

localize79.0ms (1.3%)

series5.0ms (0.1%)

simplify177.0ms (3%)

rewrite268.0ms (4.5%)

eval45.0ms (0.8%)

prune6.0ms (0.1%)

simplify240.0ms (4%)

localize25.0ms (0.4%)

series3.0ms (0.1%)

simplify167.0ms (2.8%)

rewrite56.0ms (0.9%)

eval8.0ms (0.1%)

prune5.0ms (0.1%)

regimes47.0ms (0.8%)

regimes103.0ms (1.7%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify67.0ms (1.1%)

soundness790.0ms (13.2%)

preprocess60.0ms (1%)

end0.0ms (0%)

Profiling