Metrics for Examples.Basics.ProofTests:f4 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 15 to 11 computations (26.7% saved)

sample811.0ms (21.4%)

Memory

-5.4MiB live, 1 136.3MiB allocated

Samples

491.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 332.0ms

ival-mult: 247.0ms (74.4% of total)

ival-add: 71.0ms (21.4% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain221.0ms (5.8%)

Memory

31.7MiB live, 225.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`
7	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
0	-	-	`(*.f64 x #s(literal 2 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	nan-rescue	13	0
↳	`(*.f64 x x)`	overflow	69
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	25
`+.f64`	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`	nan-rescue	7	0
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	overflow	73
↳	`(*.f64 x x)`	overflow	69
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	25
↳	`(*.f64 y y)`	overflow	59

Confusion

	Predicted +	Predicted -
+	15	0
-	0	241

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	0
-	0	0	241

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	241
1	10
2	5

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

63.0ms

512×

valid

Compiler

Compiled 173 to 59 computations (65.9% saved)

Precisions

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

ival-mult: 13.0ms (71% of total)

ival-add: 4.0ms (21.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess49.0ms (1.3%)

Memory

-25.3MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	77	57
2	250	55
3	638	55
4	1214	55
5	1509	55
6	1539	55
0	9	13
0	15	13
1	23	11
2	43	11
3	51	11
0	51	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
cost-diff	448	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	15	39
1	23	35
2	43	35
3	51	35
0	51	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.8%)

Memory

-2.9MiB live, 33.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	1.0000000000000002	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
accuracy	2.496089621660412	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Samples

24.0ms

256×

valid

Compiler

Compiled 80 to 20 computations (75% saved)

Precisions

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

ival-mult: 9.0ms (80% of total)

ival-add: 2.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.7%)

Memory

-23.3MiB live, 12.8MiB allocated

Counts

5 → 17

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	y	@	-inf	((+ (* x x) (* (* x 2) y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (* (* x 2) y) (* x 2))
2.0ms	x	@	inf	((+ (* x x) (* (* x 2) y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (* (* x 2) y) (* x 2))
1.0ms	x	@	0	((+ (* x x) (* (* x 2) y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (* (* x 2) y) (* x 2))
1.0ms	y	@	0	((+ (* x x) (* (* x 2) y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (* (* x 2) y) (* x 2))
1.0ms	x	@	-inf	((+ (* x x) (* (* x 2) y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) (* (* x 2) y) (* x 2))

simplify107.0ms (2.8%)

Memory

26.4MiB live, 143.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	129
1	166	129
2	468	129
3	1326	129
4	3270	129
5	6410	129
0	8142	110

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

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

rewrite212.0ms (5.6%)

Memory

8.5MiB live, 200.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	15	33
1	50	29
2	420	29
3	6357	29
0	8219	26

Stop Event

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

Counts

5 → 210

Calls

Call 1

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

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

eval24.0ms (0.6%)

Memory: 9.2MiB live, 45.9MiB allocated
Compiler: Compiled 6 527 to 649 computations (90.1% saved)

prune8.0ms (0.2%)

Memory

-33.1MiB live, 15.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	213	4	217
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	214	4	218

Accuracy

100.0%

Counts

218 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
▶	98.0%	(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶	54.4%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	55.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 55 to 36 computations (34.5% saved)

simplify5.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	95
0	29	95
1	44	87
2	57	87
3	60	87
0	60	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1.6%)

Memory

14.9MiB live, 52.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
accuracy	0	(fma.f64 y #s(literal 2 binary64) x)
accuracy	0.01171875	(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
accuracy	1.253892488027801	(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
accuracy	0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy	29.206818073730812	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
accuracy	0	(*.f64 y y)
accuracy	28.298289372326447	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Samples

29.0ms

256×

valid

Compiler

Compiled 190 to 39 computations (79.5% saved)

Precisions

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

ival-mult: 12.0ms (63.9% of total)

ival-add: 6.0ms (31.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

10 → 33

Calls

Call 1

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

Outputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
y
(+ y (* 2 x))
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* 2 y)
(+ x (* 2 y))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* 2 x)
(* x (+ 2 (/ y x)))
x
(* x (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -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
2.0ms	y	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (* y y) (* (+ (* y 2) x) x)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* (+ (* 2 x) y) y) (* x x)) (* x x))
1.0ms	x	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (* y y) (* (+ (* y 2) x) x)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* (+ (* 2 x) y) y) (* x x)) (* x x))
1.0ms	y	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (* y y) (* (+ (* y 2) x) x)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* (+ (* 2 x) y) y) (* x x)) (* x x))
1.0ms	x	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (* y y) (* (+ (* y 2) x) x)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* (+ (* 2 x) y) y) (* x x)) (* x x))
1.0ms	x	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ (* y y) (* (+ (* y 2) x) x)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* (+ (* 2 x) y) y) (* x x)) (* x x))

simplify200.0ms (5.3%)

Memory

-4.9MiB live, 122.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	205
1	269	205
2	745	205
3	2192	205
4	4595	205
5	7551	205
0	8023	173

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

rewrite272.0ms (7.2%)

Memory

9.9MiB live, 273.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	81
0	29	81
1	113	73
2	985	73
0	8973	73

Stop Event

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

Counts

10 → 495

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) y) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (.f64 y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))
(.f64 (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y))))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (.f64 y y) (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)))))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) (.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) y))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) y)) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) y) (-.f64 (.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y))) (-.f64 (.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))) (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 y (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))) (.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (.f64 (.f64 y x) #s(literal 2 binary64)))
(fma.f64 (.f64 y x) #s(literal 2 binary64) (.f64 y y))
(fma.f64 (.f64 x y) #s(literal 2 binary64) (.f64 y y))
(fma.f64 (.f64 #s(literal 2 binary64) x) y (.f64 y y))
(fma.f64 (.f64 y #s(literal 2 binary64)) x (.f64 y y))
(fma.f64 y (.f64 #s(literal 2 binary64) x) (.f64 y y))
(fma.f64 y y (.f64 (.f64 y x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 y x) (.f64 y y))
(fma.f64 #s(literal 2 binary64) (.f64 x y) (.f64 y y))
(fma.f64 x (.f64 y #s(literal 2 binary64)) (.f64 y y))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y))))
(+.f64 (.f64 y y) (.f64 (*.f64 y x) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 y y))
(.f64 (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y))))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))) (.f64 (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y)))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) x y) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64))))
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(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
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(pow.f64 x #s(literal 2 binary64))
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eval79.0ms (2.1%)

Memory: -19.8MiB live, 98.4MiB allocated
Compiler: Compiled 11 500 to 1 120 computations (90.3% saved)

prune10.0ms (0.3%)

Memory

6.1MiB live, 44.8MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	400	4	404
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	400	8	408

Accuracy

100.0%

Counts

408 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
▶	57.7%	(fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x))
✓	98.0%	(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶	52.4%	(fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x))
▶	57.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	54.4%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	12.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
✓	55.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 128 to 85 computations (33.6% saved)

simplify5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	153
0	35	153
1	51	147
2	68	147
3	72	147
0	72	140

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (1.3%)

Memory

-0.7MiB live, 85.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x))
accuracy	32.530414864341495	#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.01171875	(.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)
accuracy	1.253892488027801	(fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x))
accuracy	30.70794432360694	#s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(fma.f64 y #s(literal 2 binary64) x)
accuracy	0.01171875	(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
accuracy	27.550517683941308	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)
accuracy	29.206818073730812	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
accuracy	32.530414864341495	#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))

Samples

37.0ms

256×

valid

Compiler

Compiled 271 to 46 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (57.2% of total)

ival-add: 8.0ms (38.1% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

-27.1MiB live, 10.3MiB allocated

Counts

13 → 33

Calls

Call 1

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

Outputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
y
(+ y (* 2 x))
(* 2 x)
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* 2 y)
(+ x (* 2 y))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* x (+ 2 (/ y x)))
x
(* x (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -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
5.0ms	y	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* 2 x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* y y) (* (+ (* y 2) x) x)) (* (+ (* y 2) x) x) (+ (* y 2) x) (* y 2) (+ (* (+ (* 2 x) y) y) (* x x)) (* x x))
1.0ms	x	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* 2 x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* y y) (* (+ (* y 2) x) x)) (* (+ (* y 2) x) x) (+ (* y 2) x) (* y 2) (+ (* (+ (* 2 x) y) y) (* x x)) (* x x))
1.0ms	x	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* 2 x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* y y) (* (+ (* y 2) x) x)) (* (+ (* y 2) x) x) (+ (* y 2) x) (* y 2) (+ (* (+ (* 2 x) y) y) (* x x)) (* x x))
1.0ms	x	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* 2 x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* y y) (* (+ (* y 2) x) x)) (* (+ (* y 2) x) x) (+ (* y 2) x) (* y 2) (+ (* (+ (* 2 x) y) y) (* x x)) (* x x))
1.0ms	y	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* 2 x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* y y) (* (+ (* y 2) x) x)) (* (+ (* y 2) x) x) (+ (* y 2) x) (* y 2) (+ (* (+ (* 2 x) y) y) (* x x)) (* x x))

simplify212.0ms (5.6%)

Memory

-0.4MiB live, 221.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	205
1	269	205
2	745	205
3	2205	205
4	4641	205
5	7612	205
0	8080	173

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

rewrite233.0ms (6.2%)

Memory

-13.5MiB live, 199.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	129
0	35	129
1	120	123
2	938	123
0	8226	117

Stop Event

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

Counts

13 → 206

Calls

Call 1

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

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

eval53.0ms (1.4%)

Memory: 4.7MiB live, 39.6MiB allocated
Compiler: Compiled 8 461 to 763 computations (91% saved)

prune11.0ms (0.3%)

Memory

-8.9MiB live, 25.6MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	221	8	229

Accuracy

100.0%

Counts

229 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
✓	57.7%	(fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x))
✓	98.0%	(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	52.4%	(fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x))
✓	57.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	54.4%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	12.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
✓	55.8%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 269 to 123 computations (54.3% saved)

regimes11.0ms (0.3%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes12.0ms (0.3%)

Memory

-11.0MiB live, 24.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
98.0%	1	`x`
100.0%	2	`y`
98.0%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
3.0ms	x

Results

Accuracy	Segments	Branch
90.6%	2	`x`
63.1%	2	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
89.0%	2	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0.2%)

Memory

-50.5MiB live, 3.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
89.8%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
89.8%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated

Accuracy

Total -28.5b remaining (-100.8%)

Threshold costs -28.5b (-100.8%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

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

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

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

Calls

3 calls:

2.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
55.8%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
55.8%	1	`y`
55.8%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch7.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.50613453312324e+123	2.5317907799832652e+123

Samples

3.0ms

64×

valid

Compiler

Compiled 120 to 90 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (47.5% of total)

ival-mult: 1.0ms (47.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.3%)

Memory

-16.3MiB live, 22.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-1.697633755873128e-7	-4.580575392085138e-8

Samples

5.0ms

80×

valid

Compiler

Compiled 156 to 124 computations (20.5% saved)

Precisions

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

ival-mult: 2.0ms (70.1% of total)

ival-add: 1.0ms (35% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.697633755873128e-7	-4.580575392085138e-8

Compiler

Compiled 186 to 139 computations (25.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.697633755873128e-7	-4.580575392085138e-8

Compiler

Compiled 216 to 154 computations (28.7% saved)

simplify31.0ms (0.8%)

Memory

20.7MiB live, 58.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	170
1	44	170

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(if (<=.f64 y #s(literal 2499999999999999870882968616828035803598692094320521837990128653271232267621756854813134362272255220971300105653356406505472 binary64)) (fma.f64 y y (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
(if (<=.f64 x #s(literal -7253554917687775/151115727451828646838272 binary64)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x)) (fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -7253554917687775/151115727451828646838272 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (fma.f64 y y (.f64 #s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -7253554917687775/151115727451828646838272 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Outputs
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(if (<=.f64 y #s(literal 2499999999999999870882968616828035803598692094320521837990128653271232267621756854813134362272255220971300105653356406505472 binary64)) (fma.f64 y y (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
(if (<=.f64 x #s(literal -7253554917687775/151115727451828646838272 binary64)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) y (.f64 x x)) (fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -7253554917687775/151115727451828646838272 binary64)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 x #s(literal 2 binary64))) y (.f64 x x)) (fma.f64 y y (.f64 #s(approx (+ ( y 2) x) (*.f64 y #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -7253554917687775/151115727451828646838272 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (fma.f64 y y (.f64 #s(approx (+ (* y 2) x) (*.f64 y #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -7253554917687775/151115727451828646838272 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

soundness870.0ms (23%)

Memory

-20.9MiB live, 462.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	129
1	166	129
2	468	129
3	1326	129
4	3270	129
5	6410	129
0	8142	110
0	82	205
1	269	205
2	745	205
3	2192	205
4	4595	205
5	7551	205
0	8023	173
0	9	33
0	15	33
1	50	29
2	420	29
3	6357	29
0	8219	26

Stop Event

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

Compiler

Compiled 364 to 143 computations (60.7% saved)

preprocess114.0ms (3%)

Memory: 9.9MiB live, 91.6MiB allocated
Compiler: Compiled 410 to 128 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample811.0ms (21.4%)

explain221.0ms (5.8%)

preprocess49.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize30.0ms (0.8%)

series28.0ms (0.7%)

simplify107.0ms (2.8%)

rewrite212.0ms (5.6%)

eval24.0ms (0.6%)

prune8.0ms (0.2%)

simplify5.0ms (0.1%)

localize61.0ms (1.6%)

series8.0ms (0.2%)

simplify200.0ms (5.3%)

rewrite272.0ms (7.2%)

eval79.0ms (2.1%)

prune10.0ms (0.3%)

simplify5.0ms (0.1%)

localize49.0ms (1.3%)

series10.0ms (0.3%)

simplify212.0ms (5.6%)

rewrite233.0ms (6.2%)

eval53.0ms (1.4%)

prune11.0ms (0.3%)

regimes11.0ms (0.3%)

regimes12.0ms (0.3%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

regimes6.0ms (0.2%)

bsearch7.0ms (0.2%)

bsearch10.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify31.0ms (0.8%)

soundness870.0ms (23%)

preprocess114.0ms (3%)

end0.0ms (0%)

Profiling