Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 11 to 9 computations (18.2% saved)

sample830.0ms (22.2%)

Memory

18.2MiB live, 959.5MiB allocated

Samples

454.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-mult: 197.0ms (78.6% of total)

ival-sub: 38.0ms (15.2% of total)

ival-true: 7.0ms (2.8% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain157.0ms (4.2%)

Memory

-2.2MiB live, 153.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 x y))`	nan-rescue	9	0
↳	`(*.f64 x x)`	overflow	61
↳	`(*.f64 x y)`	overflow	34

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	9	0	0
-	0	0	247

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 113 to 40 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (74.8% of total)

ival-sub: 2.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

preprocess85.0ms (2.3%)

Memory

-5.3MiB live, 70.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	70	35
2	169	35
3	556	35
4	1118	35
5	1440	35
6	1562	35
7	1562	35
8	1562	35
0	7	9
0	11	7
1	20	7
2	44	7
3	95	7
4	173	7
5	233	7
6	383	7
7	551	7
8	756	7
9	806	7
0	806	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify21.0ms (0.6%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.6%)

Memory

-13.9MiB live, 24.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
accuracy	2.0078042433208236	(-.f64 (.f64 x x) (.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (78.6% of total)

ival-sub: 1.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

4 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify263.0ms (7%)

Memory

-7.9MiB live, 81.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	90
1	132	90
2	315	90
3	1118	80
4	3452	80
5	5500	80
6	6503	80
7	7992	80
0	8424	80

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite412.0ms (11%)

Memory

4.7MiB live, 232.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	34	18
2	235	18
3	2204	18
0	8785	18

Stop Event

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

Counts

4 → 304

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (+.f64 y x)) #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (*.f64 y x) x) (+.f64 y x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y x) x) (+.f64 y x)) (-.f64 (.f64 (.f64 (*.f64 y x) x) (+.f64 y x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (-.f64 x y) x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)))
(.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) x))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 x y) x)
(.f64 (.f64 (+.f64 y x) x) (/.f64 (.f64 (-.f64 x y) x) (.f64 (+.f64 y x) x)))
(.f64 (.f64 (+.f64 y x) x) (.f64 (.f64 (-.f64 x y) x) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (-.f64 x y) x) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (-.f64 x y) x) (pow.f64 (fma.f64 (.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 x (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (.f64 y x) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 y x) (.f64 x x)) (-.f64 (.f64 y x) (.f64 x x)) (.f64 #s(literal 0 binary64) (-.f64 (.f64 y x) (*.f64 x x))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x)))) (neg.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (neg.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 y x))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) x)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 y x) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (.f64 (+.f64 y x) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))))
(/.f64 (neg.f64 (.f64 x (.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
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(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y x) x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
(.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))
(.f64 x (.f64 (-.f64 x y) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x y) #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (*.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x) (+.f64 y x))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (*.f64 y x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 y x) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x y) #s(literal 2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (+.f64 y x)) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x))))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x y) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x y) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 y x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) x (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) y (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 y) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(fma.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 (neg.f64 y) x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 y) x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 y (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 x (.f64 (neg.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 y x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(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 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 y x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval34.0ms (0.9%)

Memory: 19.9MiB live, 66.8MiB allocated
Compiler: Compiled 9 447 to 1 092 computations (88.4% saved)

prune34.0ms (0.9%)

Memory

-22.9MiB live, 15.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	307	4	311
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	308	4	312

Accuracy

100.0%

Counts

312 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
▶	98.4%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
▶	57.9%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	57.1%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 46 to 35 computations (23.9% saved)

simplify25.0ms (0.7%)

Memory

21.0MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	31	83
1	65	83
2	108	83
3	180	83
4	303	83
5	499	83
6	755	83
7	834	83
8	834	83
0	834	83

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (1.6%)

Memory

-6.0MiB live, 69.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
accuracy	1.0038952404222408	(fma.f64 (neg.f64 y) x (*.f64 x x))
accuracy	0	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	26.926107863969243	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
accuracy	0	(*.f64 y x)
accuracy	0.01171875	(.f64 #s(literal -2 binary64) (.f64 y x))
accuracy	27.44964246691178	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Samples

49.0ms

256×

valid

Compiler

Compiled 174 to 41 computations (76.4% saved)

Precisions

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

ival-mult: 15.0ms (61.8% of total)

ival-neg: 6.0ms (24.7% of total)

ival-sub: 2.0ms (8.2% of total)

ival-add: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

12 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

simplify116.0ms (3.1%)

Memory

-2.1MiB live, 79.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	114
1	184	114
2	456	114
3	1269	104
4	3076	104
5	4902	104
6	6618	104
7	7874	104
0	8100	104

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

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

rewrite182.0ms (4.9%)

Memory

1.7MiB live, 164.5MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	77
0	31	69
1	100	69
2	592	69
3	6235	68
0	8940	68

Stop Event

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

Counts

12 → 582

Calls

Call 1

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

Outputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) y))
(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) y)
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) y)
(.f64 (.f64 #s(literal -2 binary64) x) y)
(.f64 (.f64 #s(literal -2 binary64) y) (neg.f64 x))
(.f64 (.f64 #s(literal -2 binary64) y) x)
(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64))
(.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x #s(literal 2 binary64)) y))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal -2 binary64))
(.f64 (.f64 y x) #s(literal 2 binary64))
(.f64 y (.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 y (.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))))
(.f64 y (.f64 #s(literal -2 binary64) x))
(.f64 y (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal -2 binary64) y))
(.f64 #s(literal 2 binary64) (.f64 y x))
(/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) (*.f64 y y))
(/.f64 (.f64 (.f64 y y) (*.f64 x #s(literal 2 binary64))) y)
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y)) y)
(neg.f64 (.f64 (.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal 0 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) y))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64) (.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 2 binary64)) y))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x #s(literal 2 binary64)) y))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) y))
(*.f64 (neg.f64 (neg.f64 x)) y)
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 (neg.f64 x) y)
(.f64 #s(literal -1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal -1 binary64))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y (neg.f64 x))
(*.f64 y x)
(*.f64 x y)
(/.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) (.f64 y y))
(/.f64 (.f64 (.f64 y y) x) y)
(/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 y y))
(/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 y x)))))
(/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y x))
(neg.f64 (*.f64 y x))
(fma.f64 #s(literal 0 binary64) x (*.f64 y x))
(fma.f64 x #s(literal 0 binary64) (*.f64 y x))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (.f64 #s(literal 0 binary64) x) (.f64 y x))
(+.f64 (.f64 x #s(literal 0 binary64)) (.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.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 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (-.f64 x y))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (fma.f64 (-.f64 x y) y (.f64 x x)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (.f64 x x)))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) y (*.f64 x x)))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 x y))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (-.f64 x y) y (.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 x y) y (.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) y) (-.f64 (.f64 (-.f64 x y) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (.f64 x x))) #s(literal 2 binary64))) (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (.f64 x x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y x)) (-.f64 (.f64 (.f64 (*.f64 x x) y) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (.f64 x x))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (.f64 x x))))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))) (.f64 (-.f64 x y) x))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (.f64 (-.f64 y x) x))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (.f64 x x))))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (.f64 (-.f64 x y) x))
(.f64 (/.f64 (.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 (.f64 (-.f64 x y) x) (pow.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (*.f64 x x))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x y) x) (neg.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (/.f64 (.f64 (-.f64 x y) x) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x y) x))))
(.f64 (/.f64 (.f64 (-.f64 x y) x) (-.f64 x y)) (/.f64 (*.f64 (-.f64 x y) x) x))
(.f64 (/.f64 (.f64 (-.f64 x y) x) x) (/.f64 (*.f64 (-.f64 y x) x) (-.f64 y x)))
(.f64 (/.f64 (.f64 (-.f64 x y) x) x) (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y)))
(.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) x)) (neg.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (.f64 x x))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) x))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal -1 binary64)) x))
(*.f64 (neg.f64 x) (-.f64 y x))
(.f64 (.f64 (-.f64 x y) x) (/.f64 (.f64 (-.f64 y x) x) (.f64 (-.f64 y x) x)))
(.f64 (.f64 (-.f64 x y) x) (/.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) x)))
(.f64 (.f64 (-.f64 x y) x) (.f64 (.f64 (-.f64 y x) x) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x y) x))))
(.f64 (.f64 (-.f64 x y) x) (.f64 (.f64 (-.f64 x y) x) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(*.f64 (-.f64 x y) x)
(.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x))
(.f64 (neg.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x y) x)))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 y x) x))
(.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (.f64 x x))) (/.f64 (.f64 (-.f64 x y) x) (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (.f64 x x)))))
(.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (.f64 x x))) (.f64 (.f64 (-.f64 x y) x) (pow.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (*.f64 x x))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 x (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 x y) y (.f64 x x)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x y) x)))
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(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (.f64 x x))) (.f64 (fma.f64 (-.f64 x y) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 x y) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 x y) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 x y) y (.f64 x x)) (+.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) y (*.f64 x x)))
(/.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) y (*.f64 x x))))
(/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(neg.f64 (-.f64 y x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 x y) y (.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 x y) y (.f64 x x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) y) (-.f64 (.f64 (-.f64 x y) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) y (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 x y) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x y) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (.f64 x x)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 x y) y (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 x y) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (*.f64 x x)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (-.f64 x y) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (*.f64 x x)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(-.f64 (-.f64 x #s(literal 0 binary64)) y)
(-.f64 (.f64 y (/.f64 y (-.f64 x y))) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal 0 binary64)) y)
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (.f64 x x)))))
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 y x)
(+.f64 x (*.f64 #s(literal 1 binary64) y))
(+.f64 x y)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

eval109.0ms (2.9%)

Memory: -25.0MiB live, 92.3MiB allocated
Compiler: Compiled 10 574 to 1 403 computations (86.7% saved)

prune39.0ms (1%)

Memory

-7.7MiB live, 31.6MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	494	1	495
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	495	4	499

Accuracy

100.0%

Counts

499 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	98.4%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	57.9%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	57.1%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Compiler

Compiled 46 to 35 computations (23.9% saved)

simplify22.0ms (0.6%)

Memory

26.7MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
0	13	24
1	26	24
2	56	24
3	107	24
4	184	24
5	243	24
6	391	24
7	562	24
8	769	24
9	821	24
0	821	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (1.1%)

Memory

5.0MiB live, 44.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 #s(literal -2 binary64) y) x)
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	27.44964246691178	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Samples

35.0ms

256×

valid

Compiler

Compiled 48 to 23 computations (52.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 26.0ms (92.7% of total)

ival-sub: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.7%)

Memory

-33.2MiB live, 5.9MiB allocated

Counts

3 → 8

Calls

Call 1

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

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

Calls

6 calls:

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

simplify136.0ms (3.6%)

Memory

29.5MiB live, 109.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	58
1	78	58
2	182	58
3	395	53
4	957	48
5	2455	48
6	5140	48
7	7967	48
0	8011	48

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

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

rewrite187.0ms (5%)

Memory

15.0MiB live, 204.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
0	13	21
1	40	21
2	247	21
3	2215	21
0	8815	21

Stop Event

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

Counts

3 → 22

Calls

Call 1

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

Outputs
#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) x)
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) y)
(.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 x))
(.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 y))
(.f64 (.f64 #s(literal -2 binary64) x) y)
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y x) #s(literal 2 binary64)))
(.f64 (neg.f64 y) (.f64 x #s(literal 2 binary64)))
(.f64 (neg.f64 x) (.f64 y #s(literal 2 binary64)))
(.f64 (.f64 (neg.f64 y) x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) y) x)
(.f64 #s(literal -2 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal -2 binary64))
(.f64 y (.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 y (.f64 #s(literal -2 binary64) x))
(.f64 x (.f64 (neg.f64 y) #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal -2 binary64) y))
(.f64 #s(literal 2 binary64) (.f64 (neg.f64 y) x))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 y x)))
(neg.f64 (.f64 (.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y #s(literal -2 binary64))

eval179.0ms (4.8%)

Memory: -135.1MiB live, 39.2MiB allocated
Compiler: Compiled 410 to 77 computations (81.2% saved)

prune10.0ms (0.3%)

Memory

-31.7MiB live, 13.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	26	4	30

Accuracy

100.0%

Counts

30 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	98.4%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	57.9%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	57.1%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Compiler

Compiled 116 to 62 computations (46.6% saved)

regimes11.0ms (0.3%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(-.f64 (.f64 x x) (.f64 x y))
3.0ms	y
3.0ms	x
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Results

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes9.0ms (0.2%)

Memory

-19.3MiB live, 19.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

3.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
2.0ms	y
2.0ms	x
2.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
80.4%	3	`x`
89.6%	3	`y`
81.8%	2	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
81.8%	2	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
57.1%	1	`x`
57.1%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
57.1%	1	`(-.f64 (.f64 x x) (.f64 x y))`
57.1%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0.2%)

Memory

-24.9MiB live, 13.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	(-.f64 (.f64 x x) (.f64 x y))
1.0ms	y

Results

Accuracy	Segments	Branch
57.1%	1	`x`
57.1%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
57.1%	1	`(-.f64 (.f64 x x) (.f64 x y))`
57.1%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch31.0ms (0.8%)

Memory

15.3MiB live, 51.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.2163016858595506e-22	2.284127333092592e-9
13.0ms	-0.18765319664422217	-2.4264219047215703e-11

Samples

17.0ms

320×

valid

Compiler

Compiled 612 to 492 computations (19.6% saved)

Precisions

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

ival-mult: 6.0ms (75.3% of total)

ival-sub: 1.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify27.0ms (0.7%)

Memory

7.4MiB live, 49.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	90
1	35	90
2	40	90
3	42	90
4	43	90

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
(if (<=.f64 y #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 4110347786689739/2417851639229258349412352 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64))) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Outputs
(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))
(if (<=.f64 y #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 4110347786689739/2417851639229258349412352 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64))) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))))
(if (<=.f64 y #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 y x) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 4110347786689739/2417851639229258349412352 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64))) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 y x) #s(literal -2 binary64)))))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 y x) #s(literal -2 binary64)))

soundness585.0ms (15.6%)

Memory

13.0MiB live, 281.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
0	31	69
1	100	69
2	592	69
3	6235	68
0	8940	68
0	42	90
1	132	90
2	315	90
3	1118	80
4	3452	80
5	5500	80
6	6503	80
7	7992	80
0	8424	80
0	7	22
0	11	18
1	34	18
2	235	18
3	2204	18
0	8785	18

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
1×	iter limit

Compiler

Compiled 141 to 68 computations (51.8% saved)

preprocess58.0ms (1.6%)

Memory: 9.2MiB live, 90.1MiB allocated
Compiler: Compiled 212 to 80 computations (62.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	20	91
0	31	83
1	65	83
2	108	83
3	180	83
4	303	83
5	499	83
6	755	83
7	834	83
8	834	83
0	834	83

Iter	Nodes	Cost
0	11	26
0	13	24
1	26	24
2	56	24
3	107	24
4	184	24
5	243	24
6	391	24
7	562	24
8	769	24
9	821	24
0	821	24

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	20	91
0	31	83
1	65	83
2	108	83
3	180	83
4	303	83
5	499	83
6	755	83
7	834	83
8	834	83
0	834	83

Iter	Nodes	Cost
0	11	26
0	13	24
1	26	24
2	56	24
3	107	24
4	184	24
5	243	24
6	391	24
7	562	24
8	769	24
9	821	24
0	821	24

start0.0ms (0%)

analyze0.0ms (0%)

sample830.0ms (22.2%)

explain157.0ms (4.2%)

preprocess85.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.6%)

localize23.0ms (0.6%)

series6.0ms (0.2%)

simplify263.0ms (7%)

rewrite412.0ms (11%)

eval34.0ms (0.9%)

prune34.0ms (0.9%)

simplify25.0ms (0.7%)

localize60.0ms (1.6%)

series11.0ms (0.3%)

simplify116.0ms (3.1%)

rewrite182.0ms (4.9%)

eval109.0ms (2.9%)

prune39.0ms (1%)

simplify22.0ms (0.6%)

localize40.0ms (1.1%)

series26.0ms (0.7%)

simplify136.0ms (3.6%)

rewrite187.0ms (5%)

eval179.0ms (4.8%)

prune10.0ms (0.3%)

regimes11.0ms (0.3%)

regimes9.0ms (0.2%)

regimes6.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch31.0ms (0.8%)

simplify27.0ms (0.7%)

soundness585.0ms (15.6%)

preprocess58.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	20	91
0	31	83
1	65	83
2	108	83
3	180	83
4	303	83
5	499	83
6	755	83
7	834	83
8	834	83
0	834	83

Iter	Nodes	Cost
0	11	26
0	13	24
1	26	24
2	56	24
3	107	24
4	184	24
5	243	24
6	391	24
7	562	24
8	769	24
9	821	24
0	821	24