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

0.2MiB live, 0.2MiB 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)

sample1.0s (25.7%)

Memory

31.0MiB live, 848.9MiB allocated

Samples

714.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-mult: 194.0ms (76.3% of total)

ival-sub: 47.0ms (18.5% of total)

ival-true: 6.0ms (2.4% of total)

exact: 4.0ms (1.6% of total)

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

Bogosity

explain514.0ms (13.1%)

Memory

-7.4MiB live, 191.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
8	-	-	`(-.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	8	0
↳	`(*.f64 x x)`	overflow	69
↳	`(*.f64 x y)`	overflow	25

Confusion

	Predicted +	Predicted -
+	8	0
-	0	248

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	8	0	0
-	0	0	248

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	248
1	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 113 to 40 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 12.0ms (79.3% of total)

ival-sub: 2.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess60.0ms (1.5%)

Memory

24.5MiB live, 62.1MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify28.0ms (0.7%)

Memory

-24.6MiB live, 18.7MiB 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

localize22.0ms (0.6%)

Memory

-6.9MiB live, 31.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
accuracy	1.7499938074906176	(-.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 (80.1% of total)

ival-sub: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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))

simplify122.0ms (3.1%)

Memory

11.2MiB live, 134.2MiB 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)

rewrite221.0ms (5.7%)

Memory

13.0MiB live, 243.1MiB 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 (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)))

eval43.0ms (1.1%)

Memory: -27.9MiB live, 56.3MiB allocated
Compiler: Compiled 9 447 to 1 092 computations (88.4% saved)

prune5.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	308	3	311
Fresh	0	0	0
Picked	0	1	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))
✓	96.9%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	55.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	58.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 46 to 35 computations (23.9% saved)

simplify45.0ms (1.2%)

Memory

-13.6MiB live, 25.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
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	(.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	17	67
0	24	63
1	45	63
2	81	63
3	135	63
4	211	63
5	322	63
6	488	63
7	735	63
8	815	63
9	815	63
0	815	63

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 (-.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)))
(.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 (-.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)

localize56.0ms (1.4%)

Memory

14.1MiB live, 52.8MiB allocated

Localize:

Found 9 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	0.0078125	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	28.442138780601756	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x x) #s(literal 2 binary64)))
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(.f64 #s(literal -2 binary64) (.f64 y x))
accuracy	26.470922258666874	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Samples

47.0ms

256×

valid

Compiler

Compiled 124 to 34 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 13.0ms (82.2% of total)

ival-sub: 2.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

9 → 18

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)
(.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 y)
(- x y)
(* 2 x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(+ x (* -1 y))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -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) (* (- 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) (* (- 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) (* (- x y) (* 2 x)) (- x y) (* 2 x))
1.0ms	x	@	0	((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (* (- 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) (* (- x y) (* 2 x)) (- x y) (* 2 x))

simplify123.0ms (3.2%)

Memory

-4.0MiB live, 75.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	85
1	134	85
2	338	85
3	920	75
4	2319	75
5	4631	75
6	6358	75
7	7256	75
0	8008	75

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 17

Calls

Call 1

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

rewrite260.0ms (6.7%)

Memory

-7.1MiB live, 195.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	59
0	24	55
1	69	55
2	385	55
3	3610	55
0	8597	55

Stop Event

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

Counts

9 → 233

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

eval35.0ms (0.9%)

Memory: 4.9MiB live, 43.5MiB allocated
Compiler: Compiled 5 126 to 740 computations (85.6% saved)

prune23.0ms (0.6%)

Memory

-21.7MiB live, 17.1MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	239	2	241
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	241	4	245

Accuracy

100.0%

Counts

245 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	96.9%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	55.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
▶	58.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Compiler

Compiled 46 to 35 computations (23.9% saved)

simplify24.0ms (0.6%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
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	14	51
0	18	47
1	34	47
2	65	47
3	109	47
4	190	47
5	249	47
6	399	47
7	569	47
8	780	47
9	831	47
0	831	47

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

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

localize79.0ms (2%)

Memory

-37.6MiB live, 44.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 x #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	28.442138780601756	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
accuracy	0	(.f64 (.f64 #s(literal -2 binary64) y) x)
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	26.470922258666874	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Samples

52.0ms

256×

valid

Compiler

Compiled 92 to 29 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 13.0ms (89.9% of total)

ival-sub: 1.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

6 → 9

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

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

simplify115.0ms (2.9%)

Memory

24.7MiB live, 101.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	61
1	78	61
2	182	61
3	395	56
4	957	51
5	2455	51
6	5140	51
7	7967	51
0	8011	51

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

Inputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* 2 (pow x 2))
(* 2 x)
(* (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))
(* 2 x)
(*.f64 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))

rewrite342.0ms (8.8%)

Memory

-123.3MiB live, 160.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	18	42
1	48	42
2	256	42
3	2220	42
0	8810	42

Stop Event

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

Counts

6 → 29

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

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

eval3.0ms (0.1%)

Memory: 7.3MiB live, 7.3MiB allocated
Compiler: Compiled 540 to 93 computations (82.8% saved)

prune10.0ms (0.3%)

Memory

-34.3MiB live, 11.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	34	4	38

Accuracy

100.0%

Counts

38 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	96.9%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	55.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x))
✓	58.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Compiler

Compiled 122 to 62 computations (49.2% saved)

regimes11.0ms (0.3%)

Memory

19.0MiB live, 19.0MiB 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 #s(literal 2 binary64)) 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)))

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

Calls

4 calls:

3.0ms	y
3.0ms	x
3.0ms	(-.f64 (.f64 x x) (.f64 x y))
3.0ms	(.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)

regimes13.0ms (0.3%)

Memory

-20.8MiB live, 16.8MiB allocated

Counts

4 → 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 #s(literal 2 binary64)) 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 (*.f64 x #s(literal 2 binary64)) 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 #s(literal 2 binary64)) x))

Calls

4 calls:

6.0ms	y
2.0ms	x
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
2.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
88.4%	3	`x`
85.8%	3	`y`
84.1%	2	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
84.1%	2	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB 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	x
2.0ms	y
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
58.6%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
58.6%	1	`(-.f64 (.f64 x x) (.f64 x y))`
58.6%	1	`y`
58.6%	1	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB 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	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	x
1.0ms	y
1.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
58.6%	1	`x`
58.6%	1	`y`
58.6%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
58.6%	1	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch22.0ms (0.6%)

Memory

-14.9MiB live, 22.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2091018139942553e+98	1.1202735204720865e+99
8.0ms	-1.697633755873128e-7	-3.984230856415083e-8

Samples

9.0ms

192×

valid

Compiler

Compiled 372 to 300 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (84.1% of total)

ival-sub: 1.0ms (21% of total)

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

exact: 0.0ms (0% of total)

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

simplify28.0ms (0.7%)

Memory

6.6MiB live, 44.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	90
1	36	90
2	41	90
3	43	90
4	44	90

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))
(if (<=.f64 x #s(literal -2568967366681087/37778931862957161709568 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x)) (if (<=.f64 x #s(literal 122000000000000000628851213138342878843365077374257170971707579844329456175505272368163941313937408 binary64)) #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 #s(literal 2 binary64)) 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 x #s(literal -2568967366681087/37778931862957161709568 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 x #s(literal 2 binary64)) x)) (if (<=.f64 x #s(literal 122000000000000000628851213138342878843365077374257170971707579844329456175505272368163941313937408 binary64)) #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 #s(literal 2 binary64)) x))))
(if (<=.f64 x #s(literal -2568967366681087/37778931862957161709568 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) x) x)) (if (<=.f64 x #s(literal 122000000000000000628851213138342878843365077374257170971707579844329456175505272368163941313937408 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal 2 binary64) x) 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)))
#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 y x) #s(literal -2 binary64)))

soundness637.0ms (16.3%)

Memory

-7.0MiB live, 392.0MiB 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
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	17	59
0	24	55
1	69	55
2	385	55
3	3610	55
0	8597	55

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 171 to 89 computations (48% saved)

preprocess29.0ms (0.8%)

Memory: 22.1MiB live, 60.6MiB allocated
Compiler: Compiled 212 to 78 computations (63.2% 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	17	67
0	24	63
1	45	63
2	81	63
3	135	63
4	211	63
5	322	63
6	488	63
7	735	63
8	815	63
9	815	63
0	815	63

Iter	Nodes	Cost
0	14	51
0	18	47
1	34	47
2	65	47
3	109	47
4	190	47
5	249	47
6	399	47
7	569	47
8	780	47
9	831	47
0	831	47

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	17	67
0	24	63
1	45	63
2	81	63
3	135	63
4	211	63
5	322	63
6	488	63
7	735	63
8	815	63
9	815	63
0	815	63

Iter	Nodes	Cost
0	14	51
0	18	47
1	34	47
2	65	47
3	109	47
4	190	47
5	249	47
6	399	47
7	569	47
8	780	47
9	831	47
0	831	47

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (25.7%)

explain514.0ms (13.1%)

preprocess60.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify28.0ms (0.7%)

localize22.0ms (0.6%)

series6.0ms (0.1%)

simplify122.0ms (3.1%)

rewrite221.0ms (5.7%)

eval43.0ms (1.1%)

prune5.0ms (0.1%)

simplify45.0ms (1.2%)

localize56.0ms (1.4%)

series9.0ms (0.2%)

simplify123.0ms (3.2%)

rewrite260.0ms (6.7%)

eval35.0ms (0.9%)

prune23.0ms (0.6%)

simplify24.0ms (0.6%)

localize79.0ms (2%)

series5.0ms (0.1%)

simplify115.0ms (2.9%)

rewrite342.0ms (8.8%)

eval3.0ms (0.1%)

prune10.0ms (0.3%)

regimes11.0ms (0.3%)

regimes13.0ms (0.3%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch22.0ms (0.6%)

simplify28.0ms (0.7%)

soundness637.0ms (16.3%)

preprocess29.0ms (0.8%)

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	17	67
0	24	63
1	45	63
2	81	63
3	135	63
4	211	63
5	322	63
6	488	63
7	735	63
8	815	63
9	815	63
0	815	63

Iter	Nodes	Cost
0	14	51
0	18	47
1	34	47
2	65	47
3	109	47
4	190	47
5	249	47
6	399	47
7	569	47
8	780	47
9	831	47
0	831	47