Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample884.0ms (21%)

Memory

7.6MiB live, 762.5MiB allocated

Samples

623.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-add: 107.0ms (53.8% of total)

ival-div: 79.0ms (39.7% of total)

ival-true: 5.0ms (2.5% of total)

exact: 4.0ms (2% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain55.0ms (1.3%)

Memory

-34.6MiB live, 69.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
-	-	`#s(literal 500 binary64)`
-	-	`(/.f64 y #s(literal 500 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 5.0ms (50.5% of total)

ival-div: 4.0ms (40.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.3%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	22	27
2	30	27
3	36	27
4	42	27
5	45	27
0	5	5
0	7	5
1	8	5
0	8	5

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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
▶	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 y #s(literal 500 binary64))
cost-diff	0	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	8	11
0	8	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

localize18.0ms (0.4%)

Memory

-23.2MiB live, 22.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 y #s(literal 500 binary64))
accuracy	0.01171875	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 6.0ms (67.6% of total)

ival-add: 2.0ms (22.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 7

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))

Outputs
(* 1/500 y)
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* y (+ 1/500 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ x (/ y 500)) (/ y 500))
1.0ms	y	@	inf	((+ x (/ y 500)) (/ y 500))
0.0ms	y	@	0	((+ x (/ y 500)) (/ y 500))
0.0ms	x	@	inf	((+ x (/ y 500)) (/ y 500))
0.0ms	x	@	-inf	((+ x (/ y 500)) (/ y 500))

simplify342.0ms (8.1%)

Memory

21.5MiB live, 120.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	63	29
2	137	29
3	344	29
4	832	29
5	1846	29
6	2959	29
7	3632	29
8	4979	29
9	6485	29
10	6802	29
11	6914	29
12	6914	29
13	6914	29
14	7412	29
15	7661	29
16	7717	29
17	7717	29
18	7717	29
19	7717	29
20	7717	29
0	12489	24

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 6

Calls

Call 1

Inputs
(* 1/500 y)
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* y (+ 1/500 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))

Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)

rewrite195.0ms (4.6%)

Memory

-25.1MiB live, 252.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	25	8
2	169	8
3	1950	8
0	8894	8

Stop Event

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

Counts

2 → 177

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 y #s(literal -500 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (/.f64 y #s(literal 500 binary64)) x)) #s(literal 3 binary64)) #s(literal 125000000 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64))) (-.f64 (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (.f64 (neg.f64 x) x)) (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))) (+.f64 (/.f64 y #s(literal 500 binary64)) x))
(.f64 (/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 y #s(literal 500 binary64)) (+.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 x x)))
(.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) (/.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))
(*.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 y y) (.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (.f64 y y) (.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) #s(literal 2 binary64)))) (+.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 y y) (.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (.f64 y y) (.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 x x))) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal -500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 (.f64 y y) #s(literal -500 binary64)))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal -500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal 500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (.f64 (/.f64 y #s(literal 500 binary64)) y))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal 500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (neg.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))))) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (.f64 (neg.f64 y) y))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (.f64 y y))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal -500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 (.f64 y y) #s(literal -500 binary64)))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal -500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (.f64 (/.f64 y #s(literal 500 binary64)) y))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal 500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (neg.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))))) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (.f64 (neg.f64 y) y))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (.f64 y y))) (.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
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(+.f64 (/.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))))
(+.f64 (/.f64 (.f64 (/.f64 y #s(literal 500 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (/.f64 (.f64 x (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))))
(+.f64 (/.f64 (.f64 x (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (/.f64 (.f64 (/.f64 y #s(literal 500 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) (/.f64 y #s(literal 500 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) x) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) x) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) (/.f64 y #s(literal 500 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))))
(+.f64 (/.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))))
(+.f64 (/.f64 (.f64 (/.f64 y #s(literal 500 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (/.f64 (.f64 x (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))))
(+.f64 (/.f64 (.f64 x (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (/.f64 (.f64 (/.f64 y #s(literal 500 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) (/.f64 y #s(literal 500 binary64))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) x) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) x) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (/.f64 (.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)) (/.f64 y #s(literal 500 binary64))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (.f64 (neg.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 x x (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))) (/.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (.f64 x x))))
(+.f64 (/.f64 (.f64 y y) (.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (/.f64 (.f64 y y) (.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (/.f64 (.f64 y y) (.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (/.f64 (.f64 y y) (.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(*.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))) (sqrt.f64 (/.f64 y #s(literal -500 binary64))))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 500 binary64))))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 y #s(literal -250000 binary64))))
(*.f64 (sqrt.f64 (/.f64 y #s(literal 500 binary64))) (sqrt.f64 (/.f64 y #s(literal 500 binary64))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (/.f64 y #s(literal -500 binary64)) #s(literal -500 binary64))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y #s(literal 250000 binary64))))
(pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fabs.f64 y)) #s(literal -500 binary64))
(/.f64 (fabs.f64 (fabs.f64 y)) #s(literal 500 binary64))
(/.f64 (sqrt.f64 (neg.f64 (/.f64 (*.f64 y y) #s(literal -500 binary64)))) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 y y) #s(literal -500 binary64))) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) y)) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal -250000 binary64)))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(/.f64 (fabs.f64 y) #s(literal 500 binary64))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (/.f64 y #s(literal -500 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y #s(literal -500 binary64)))
(fabs.f64 (/.f64 y #s(literal 500 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 500 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 y #s(literal 500 binary64))))
(+.f64 (cosh.f64 (log.f64 (/.f64 y #s(literal 500 binary64)))) (sinh.f64 (log.f64 (/.f64 y #s(literal 500 binary64)))))

eval21.0ms (0.5%)

Memory: 7.7MiB live, 53.3MiB allocated
Compiler: Compiled 6 531 to 547 computations (91.6% saved)

prune3.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	175	4	179
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	175	5	180

Accuracy

100.0%

Counts

180 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(fma.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y #s(literal 250000 binary64))) x)
▶	55.6%	(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	99.9%	#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
▶	51.2%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 47 to 39 computations (17% saved)

simplify15.0ms (0.4%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 y #s(literal 250000 binary64))
cost-diff	0	(sqrt.f64 (/.f64 y #s(literal 250000 binary64)))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(fma.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y #s(literal 250000 binary64))) x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(/.f64 y #s(literal 250000 binary64))
cost-diff	0	(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
cost-diff	0	(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
cost-diff	0	(fma.f64 #s(literal 1/500 binary64) y x)
cost-diff	0	#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
cost-diff	0	(*.f64 #s(literal 1/500 binary64) y)
cost-diff	0	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	96
0	35	96
1	54	96
2	98	96
3	189	96
4	350	96
5	559	96
6	690	96
7	694	96
0	694	96

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
y
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(fma.f64 #s(literal 1/500 binary64) y x)
#s(literal 1/500 binary64)
y
x
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
y
(/.f64 y #s(literal 250000 binary64))
#s(literal 250000 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(/.f64 y #s(literal 500 binary64))
#s(literal 500 binary64)
(fma.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y #s(literal 250000 binary64))) x)
(sqrt.f64 y)
y
(sqrt.f64 (/.f64 y #s(literal 250000 binary64)))
(/.f64 y #s(literal 250000 binary64))
#s(literal 250000 binary64)
x

Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
y
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(fma.f64 #s(literal 1/500 binary64) y x)
#s(literal 1/500 binary64)
y
x
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 (fma.f64 (/.f64 y #s(literal -250000 binary64)) y (*.f64 x x)) (neg.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 y #s(literal 250000 binary64)) y (*.f64 (neg.f64 x) x))
y
(/.f64 y #s(literal 250000 binary64))
#s(literal 250000 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(/.f64 y #s(literal 500 binary64))
#s(literal 500 binary64)
(fma.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y #s(literal 250000 binary64))) x)
(fma.f64 (sqrt.f64 (/.f64 y #s(literal 250000 binary64))) (sqrt.f64 y) x)
(sqrt.f64 y)
y
(sqrt.f64 (/.f64 y #s(literal 250000 binary64)))
(/.f64 y #s(literal 250000 binary64))
#s(literal 250000 binary64)
x

localize428.0ms (10.2%)

Memory

-67.0MiB live, 99.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y #s(literal 250000 binary64))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.06869125976844201	(sqrt.f64 (/.f64 y #s(literal 250000 binary64)))
accuracy	0.078125	(fma.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y #s(literal 250000 binary64))) x)
accuracy	0.0	(neg.f64 x)
accuracy	0.0078125	(-.f64 (/.f64 y #s(literal 500 binary64)) x)
accuracy	1.5234209856333614	(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
accuracy	15.08930907551342	(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
accuracy	0.0	#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
accuracy	0.0234375	(fma.f64 #s(literal 1/500 binary64) y x)
accuracy	0.05078125	(*.f64 #s(literal 1/500 binary64) y)
accuracy	15.466553285186796	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Samples

307.0ms	126×	0	invalid
19.0ms	130×	0	valid

Compiler

Compiled 93 to 22 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 6.0ms (23.9% of total)

ival-mult: 6.0ms (23.9% of total)

ival-add: 4.0ms (15.9% of total)

ival-sqrt: 3.0ms (12% of total)

const: 3.0ms (12% of total)

ival-sub: 1.0ms (4% of total)

ival-neg: 1.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

13 → 26

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(fma.f64 #s(literal 1/500 binary64) y x)
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 y #s(literal 250000 binary64))
(*.f64 (neg.f64 x) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y #s(literal 250000 binary64))) x)
(sqrt.f64 y)
(sqrt.f64 (/.f64 y #s(literal 250000 binary64)))
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(neg.f64 x)

Outputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(* -1 (pow x 2))
(+ (* -1 x) (* 1/500 y))
(* -1 x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(* 1/250000 y)
(sqrt y)
(* 1/500 (sqrt y))
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (* (sqrt -1) (sqrt -1/250000))))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt -1) (sqrt -1/250000)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/250000))))
(* -1 (* y (- (/ x y) 1/500)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (/ y 250000) (* (neg x) x) (+ (* (sqrt y) (sqrt (/ y 250000))) x) (sqrt y) (sqrt (/ y 250000)) (- (/ y 500) x) (neg x))
2.0ms	x	@	inf	((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (/ y 250000) (* (neg x) x) (+ (* (sqrt y) (sqrt (/ y 250000))) x) (sqrt y) (sqrt (/ y 250000)) (- (/ y 500) x) (neg x))
2.0ms	y	@	inf	((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (/ y 250000) (* (neg x) x) (+ (* (sqrt y) (sqrt (/ y 250000))) x) (sqrt y) (sqrt (/ y 250000)) (- (/ y 500) x) (neg x))
2.0ms	y	@	0	((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (/ y 250000) (* (neg x) x) (+ (* (sqrt y) (sqrt (/ y 250000))) x) (sqrt y) (sqrt (/ y 250000)) (- (/ y 500) x) (neg x))
1.0ms	x	@	0	((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (/ y 250000) (* (neg x) x) (+ (* (sqrt y) (sqrt (/ y 250000))) x) (sqrt y) (sqrt (/ y 250000)) (- (/ y 500) x) (neg x))

simplify165.0ms (3.9%)

Memory

-2.0MiB live, 131.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	152
1	194	145
2	573	143
3	1849	140
4	5220	140
0	8252	135

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(* -1 (pow x 2))
(+ (* -1 x) (* 1/500 y))
(* -1 x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(* 1/250000 y)
(sqrt y)
(* 1/500 (sqrt y))
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (* (sqrt -1) (sqrt -1/250000))))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt -1) (sqrt -1/250000)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/250000))))
(* -1 (* y (- (/ x y) 1/500)))

Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/250000 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(fma.f64 (neg.f64 x) x (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(+ (* -1 x) (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 x)
(neg.f64 x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(.f64 (-.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/250000 binary64) x) x) y) y) #s(literal 1 binary64)) (.f64 x x))
(* x (- (* 1/500 (/ y x)) 1))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(sqrt y)
(sqrt.f64 y)
(* 1/500 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(- (* 1/500 y) x)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (neg.f64 x) x (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
(* y (+ 1/500 (* -1 (/ x y))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (* (sqrt -1) (sqrt -1/250000))))
(.f64 (.f64 (sqrt.f64 #s(literal -1/250000 binary64)) y) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt -1) (sqrt -1/250000)))))
(fma.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal -1/250000 binary64)) (sqrt.f64 #s(literal -1 binary64))) x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/250000))))
(.f64 (.f64 (sqrt.f64 #s(literal -1/250000 binary64)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* y (- (/ x y) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))

rewrite229.0ms (5.4%)

Memory

-13.2MiB live, 181.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	78
0	35	85
1	122	65
2	841	65
0	8675	65

Stop Event

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

Counts

13 → 625

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(fma.f64 #s(literal 1/500 binary64) y x)
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 y #s(literal 250000 binary64))
(*.f64 (neg.f64 x) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y #s(literal 250000 binary64))) x)
(sqrt.f64 y)
(sqrt.f64 (/.f64 y #s(literal 250000 binary64)))
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(neg.f64 x)

Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 y #s(literal 1/500 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -1/500 binary64) y))
(fabs.f64 (*.f64 #s(literal 1/500 binary64) y))
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/500 binary64) y) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y)))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y))))))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (.f64 #s(literal -1/500 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y))))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y)))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y)))))))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/250000 binary64) (.f64 y y)))) (neg.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (.f64 (-.f64 (.f64 #s(literal 1/500 binary64) y) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal 1/500 binary64) y) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y)))) (.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y)))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (.f64 #s(literal 1/500 binary64) y)))) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))))
(/.f64 (fma.f64 x x (.f64 #s(literal -1/250000 binary64) (.f64 y y))) (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 #s(literal -1/500 binary64) (*.f64 y x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))))
(/.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 #s(literal -1/500 binary64) (*.f64 y x)))))
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(fma.f64 (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y #s(literal 500 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(fma.f64 (.f64 (/.f64 y #s(literal 500 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x x) (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (*.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (/.f64 y #s(literal 500 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (*.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 x x))) (-.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 x x))) (-.f64 x (/.f64 y #s(literal -500 binary64)))))
(-.f64 (/.f64 (.f64 (neg.f64 x) x) (-.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (/.f64 (.f64 y y) #s(literal -250000 binary64)) (-.f64 x (/.f64 y #s(literal -500 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 y #s(literal 250000 binary64)) y) (-.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (.f64 x x) (-.f64 x (/.f64 y #s(literal -500 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 y #s(literal -500 binary64))) (.f64 (/.f64 y #s(literal 250000 binary64)) y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 y #s(literal -500 binary64))) (.f64 (/.f64 y #s(literal 250000 binary64)) y))))
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(+.f64 (.f64 (.f64 (/.f64 y #s(literal 500 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 x x) (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 (/.f64 y #s(literal 500 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 y #s(literal 500 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (.f64 (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)) (.f64 (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 y #s(literal 500 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64))) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4 binary64)))) (-.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64))) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4 binary64)))) (-.f64 x (/.f64 y #s(literal -500 binary64)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y #s(literal -500 binary64)) (neg.f64 x))) (/.f64 (.f64 (/.f64 y #s(literal 250000 binary64)) y) (-.f64 x (/.f64 y #s(literal -500 binary64)))))
(+.f64 (/.f64 (.f64 (neg.f64 x) x) (-.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (.f64 (/.f64 y #s(literal 250000 binary64)) y) (-.f64 x (/.f64 y #s(literal -500 binary64)))))
(+.f64 (/.f64 (.f64 (/.f64 y #s(literal 250000 binary64)) y) (-.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (.f64 x x) (+.f64 (/.f64 y #s(literal -500 binary64)) (neg.f64 x))))
(+.f64 (/.f64 (.f64 (/.f64 y #s(literal 250000 binary64)) y) (-.f64 x (/.f64 y #s(literal -500 binary64)))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 x (/.f64 y #s(literal -500 binary64)))))
(neg.f64 x)

eval52.0ms (1.2%)

Memory: 14.1MiB live, 104.5MiB allocated
Compiler: Compiled 17 866 to 1 545 computations (91.4% saved)

prune8.0ms (0.2%)

Memory

29.7MiB live, 29.7MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	483	2	485
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	485	5	490

Accuracy

100.0%

Counts

490 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))) x)
▶	28.1%	(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	99.9%	#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
✓	51.2%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 58 to 47 computations (19% saved)

simplify12.0ms (0.3%)

Memory

-39.8MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))
cost-diff	0	(sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y)))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))) x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) #s(literal 1/250000 binary64))
cost-diff	0	#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	93
0	31	91
1	51	91
2	95	91
3	182	91
4	271	91
5	327	91
6	335	91
0	335	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
y
#s(literal 1/250000 binary64)
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(/.f64 y #s(literal 500 binary64))
#s(literal 500 binary64)
x
(fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))) x)
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y)))
#s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))
(*.f64 #s(literal 1/250000 binary64) y)
#s(literal 1/250000 binary64)
x

Outputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y)))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(*.f64 y y)
y
#s(literal 1/250000 binary64)
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(/.f64 y #s(literal 500 binary64))
#s(literal 500 binary64)
x
(fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))) x)
(fma.f64 (sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))) (sqrt.f64 y) x)
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y)))
#s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))
(*.f64 #s(literal 1/250000 binary64) y)
#s(literal 1/250000 binary64)
x

localize61.0ms (1.5%)

Memory

23.3MiB live, 104.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))
accuracy	0.06869125976844201	(sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y)))
accuracy	0.078125	(fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))) x)
accuracy	0.140625	(*.f64 #s(literal 1/250000 binary64) y)
accuracy	0.0078125	(-.f64 (/.f64 y #s(literal 500 binary64)) x)
accuracy	0.08984375	(.f64 (.f64 y y) #s(literal 1/250000 binary64))
accuracy	14.70658577649538	#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
accuracy	15.08930907551342	(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))

Samples

32.0ms	126×	0	invalid
19.0ms	130×	0	valid

Compiler

Compiled 72 to 22 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sqrt: 14.0ms (35.4% of total)

ival-mult: 9.0ms (22.8% of total)

const: 6.0ms (15.2% of total)

ival-div: 5.0ms (12.6% of total)

ival-add: 3.0ms (7.6% of total)

ival-sub: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

10 → 27

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))) x)
(sqrt.f64 y)
(sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y)))
#s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(*.f64 #s(literal 1/250000 binary64) y)

Outputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 x) (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(pow y 2)
(sqrt y)
(* 1/500 (sqrt y))
(* 1/250000 y)
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (* (sqrt -1) (sqrt -1/250000))))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt -1) (sqrt -1/250000)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/250000))))
(* -1 (* y (- (/ x y) 1/500)))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (+ (* (sqrt y) (sqrt (/ y 250000))) x) (sqrt y) (sqrt (/ y 250000)) (/ y 250000) (- (/ y 500) x) (* 1/250000 y))
1.0ms	y	@	inf	((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (+ (* (sqrt y) (sqrt (/ y 250000))) x) (sqrt y) (sqrt (/ y 250000)) (/ y 250000) (- (/ y 500) x) (* 1/250000 y))
1.0ms	y	@	0	((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (+ (* (sqrt y) (sqrt (/ y 250000))) x) (sqrt y) (sqrt (/ y 250000)) (/ y 250000) (- (/ y 500) x) (* 1/250000 y))
1.0ms	x	@	inf	((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (+ (* (sqrt y) (sqrt (/ y 250000))) x) (sqrt y) (sqrt (/ y 250000)) (/ y 250000) (- (/ y 500) x) (* 1/250000 y))
1.0ms	x	@	0	((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (+ (* (sqrt y) (sqrt (/ y 250000))) x) (sqrt y) (sqrt (/ y 250000)) (/ y 250000) (- (/ y 500) x) (* 1/250000 y))

simplify122.0ms (2.9%)

Memory

16.0MiB live, 114.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	155
1	194	148
2	573	146
3	1849	143
4	5218	143
0	8255	138

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 x) (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(pow y 2)
(sqrt y)
(* 1/500 (sqrt y))
(* 1/250000 y)
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (* (sqrt -1) (sqrt -1/250000))))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt -1) (sqrt -1/250000)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/250000))))
(* -1 (* y (- (/ x y) 1/500)))

Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/250000 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(fma.f64 (neg.f64 x) x (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
(+ (* -1 x) (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(.f64 (-.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/250000 binary64) x) x) y) y) #s(literal 1 binary64)) (.f64 x x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/500 (/ y x)) 1))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(pow y 2)
(*.f64 y y)
(sqrt y)
(sqrt.f64 y)
(* 1/500 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(- (* 1/500 y) x)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (neg.f64 x) x (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
(* y (+ 1/500 (* -1 (/ x y))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (* (sqrt -1) (sqrt -1/250000))))
(.f64 (.f64 (sqrt.f64 #s(literal -1/250000 binary64)) y) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt -1) (sqrt -1/250000)))))
(fma.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal -1/250000 binary64)) (sqrt.f64 #s(literal -1 binary64))) x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/250000))))
(.f64 (.f64 (sqrt.f64 #s(literal -1/250000 binary64)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* y (- (/ x y) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))

rewrite322.0ms (7.7%)

Memory

-28.1MiB live, 208.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	83
0	31	81
1	101	81
2	603	81
3	6502	81
0	8084	81

Stop Event

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

Counts

10 → 233

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))) x)
(sqrt.f64 y)
(sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y)))
#s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(*.f64 #s(literal 1/250000 binary64) y)

Outputs
(.f64 (/.f64 (neg.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y)))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y))))
(.f64 (/.f64 (neg.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y)))) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y))) (neg.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x)))
(.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 x x (/.f64 (*.f64 y y) #s(literal -250000 binary64)))) (neg.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x)))
(.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (neg.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y))))
(.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y))) (+.f64 (/.f64 y #s(literal 500 binary64)) x))
(.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y)))
(.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y))))
(.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y)) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (+.f64 (/.f64 y #s(literal 500 binary64)) x)) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y)))
(/.f64 (.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y))) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (/.f64 y #s(literal 500 binary64))) (.f64 (/.f64 y #s(literal 250000 binary64)) y)))
(/.f64 (.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 (.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 y #s(literal 250000 binary64)) y) (*.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x)))
(/.f64 (.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) (-.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) (.f64 (/.f64 y #s(literal 250000 binary64)) y)) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y)) (fma.f64 x (-.f64 x (/.f64 y #s(literal 500 binary64))) (*.f64 (/.f64 y #s(literal 250000 binary64)) y))))
(/.f64 (.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y))) (.f64 (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(/.f64 (.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 (/.f64 y #s(literal 250000 binary64)) y) (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x))))
(/.f64 (.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 6 binary64)))) (.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) (-.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) (*.f64 (/.f64 y #s(literal 250000 binary64)) y)) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y)))) (neg.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(neg.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (neg.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(fma.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y))) (/.f64 y #s(literal 500 binary64)) (.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y))) x))
(fma.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y))) x (.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y))) (/.f64 y #s(literal 500 binary64))))
(fma.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (.f64 (/.f64 y #s(literal 250000 binary64)) y)) (.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y #s(literal 500 binary64)) x)))
(fma.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) (.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y #s(literal 250000 binary64)) y)))
(fma.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 y #s(literal 250000 binary64)) y) (.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x)))
(fma.f64 (fma.f64 x x (.f64 (/.f64 y #s(literal 250000 binary64)) y)) (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (/.f64 y #s(literal 250000 binary64)) y) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (/.f64 y #s(literal 500 binary64)) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y))) (.f64 x (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y)))))
(fma.f64 x (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y))) (.f64 (/.f64 y #s(literal 500 binary64)) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y)))))
(fma.f64 (.f64 (/.f64 y #s(literal 250000 binary64)) y) (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 y #s(literal 500 binary64)) (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y)))) (.f64 x (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y)))))
(+.f64 (.f64 x (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y)))) (.f64 (/.f64 y #s(literal 500 binary64)) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y)))))
(+.f64 (.f64 (fma.f64 x x (.f64 (/.f64 y #s(literal 250000 binary64)) y)) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 (/.f64 y #s(literal 250000 binary64)) y) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (/.f64 y #s(literal 250000 binary64)) y) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y))) (/.f64 y #s(literal 500 binary64))) (.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y))) x))
(+.f64 (.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (.f64 (/.f64 y #s(literal 250000 binary64)) y))) x) (.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 (/.f64 y #s(literal 250000 binary64)) y))) (/.f64 y #s(literal 500 binary64))))
(+.f64 (.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (.f64 (/.f64 y #s(literal 250000 binary64)) y))) (.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x)) (.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y #s(literal 250000 binary64)) y)))
(+.f64 (.f64 (/.f64 #s(approx (+ ( y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 y #s(literal 250000 binary64)) y)) (.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y))) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) x)))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y)))
(neg.f64 (neg.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 #s(literal 1/250000 binary64) (.f64 y y)))))
(.f64 (.f64 (neg.f64 y) #s(literal 1/250000 binary64)) (neg.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1/250000 binary64)))
(.f64 (.f64 #s(literal 1/250000 binary64) y) y)
(.f64 #s(literal 1/250000 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(.f64 y (.f64 #s(literal 1/250000 binary64) y))
(neg.f64 (.f64 (.f64 (neg.f64 y) #s(literal 1/250000 binary64)) y))
(neg.f64 (.f64 #s(literal 1/250000 binary64) (.f64 (neg.f64 y) y)))
(neg.f64 (.f64 y (.f64 (neg.f64 y) #s(literal 1/250000 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1/250000 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
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eval27.0ms (0.6%)

Memory: 36.9MiB live, 36.9MiB allocated
Compiler: Compiled 10 154 to 813 computations (92% saved)

prune21.0ms (0.5%)

Memory

-33.5MiB live, 11.6MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	245	2	247
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	247	5	252

Accuracy

100.0%

Counts

252 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.1%	(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
▶	59.7%	(+.f64 (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓	99.9%	#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
✓	51.2%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 64 to 51 computations (20.3% saved)

simplify11.0ms (0.3%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) #s(literal 1/250000 binary64))
cost-diff	0	#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
cost-diff	0	#s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))
cost-diff	0	(.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)
cost-diff	0	(sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))
cost-diff	0	(+.f64 (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	118
0	35	116
1	57	116
2	101	116
3	181	116
4	268	116
5	328	116
6	338	116
7	343	116
0	343	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) x)
(sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))
(.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)
#s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))
(*.f64 #s(literal 1/250000 binary64) y)
#s(literal 1/250000 binary64)
y
x
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
y
#s(literal 1/250000 binary64)
#s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x)))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
#s(literal 1/500 binary64)
(neg.f64 x)
x

Outputs
(+.f64 (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) x)
(+.f64 x (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)))
(sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))
(.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)
#s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))
(*.f64 #s(literal 1/250000 binary64) y)
#s(literal 1/250000 binary64)
y
x
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
y
#s(literal 1/250000 binary64)
#s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x)))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
#s(literal 1/500 binary64)
(neg.f64 x)
x

localize72.0ms (1.7%)

Memory

13.2MiB live, 57.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
accuracy	0.16796875	(.f64 (.f64 y y) #s(literal 1/250000 binary64))
accuracy	28.19484090711879	(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
accuracy	29.46023532840973	#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
accuracy	0.01171875	(+.f64 (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) x)
accuracy	0.12890625	(.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)
accuracy	0.34765625	(*.f64 #s(literal 1/250000 binary64) y)
accuracy	29.65510371625283	(sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))

Samples

60.0ms

256×

valid

Compiler

Compiled 81 to 24 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 30.0ms (61.1% of total)

const: 6.0ms (12.2% of total)

ival-div: 5.0ms (10.2% of total)

ival-add: 3.0ms (6.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

ival-sub: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

10 → 23

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) x)
(sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))
(.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)
#s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
(*.f64 #s(literal 1/250000 binary64) y)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))

Outputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 x) (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(* 1/250000 y)
(pow y 2)
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1/500 y)
(* -1 (* y (+ 1/500 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (/ x y) 1/500)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (sqrt (* (/ y 250000) y)) x) (sqrt (* (/ y 250000) y)) (* (/ y 250000) y) (/ y 250000) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (* 1/250000 y) (+ (* 1/500 y) (neg x)))
1.0ms	y	@	inf	((+ (sqrt (* (/ y 250000) y)) x) (sqrt (* (/ y 250000) y)) (* (/ y 250000) y) (/ y 250000) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (* 1/250000 y) (+ (* 1/500 y) (neg x)))
1.0ms	y	@	0	((+ (sqrt (* (/ y 250000) y)) x) (sqrt (* (/ y 250000) y)) (* (/ y 250000) y) (/ y 250000) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (* 1/250000 y) (+ (* 1/500 y) (neg x)))
1.0ms	x	@	0	((+ (sqrt (* (/ y 250000) y)) x) (sqrt (* (/ y 250000) y)) (* (/ y 250000) y) (/ y 250000) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (* 1/250000 y) (+ (* 1/500 y) (neg x)))
1.0ms	x	@	inf	((+ (sqrt (* (/ y 250000) y)) x) (sqrt (* (/ y 250000) y)) (* (/ y 250000) y) (/ y 250000) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (* 1/250000 y) (+ (* 1/500 y) (neg x)))

simplify106.0ms (2.5%)

Memory

4.9MiB live, 101.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	129
1	153	122
2	450	119
3	1506	117
4	4662	117
0	8251	111

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 x) (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(* 1/250000 y)
(pow y 2)
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1/500 y)
(* -1 (* y (+ 1/500 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (/ x y) 1/500)))

Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/250000 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (neg.f64 x) x))
(+ (* -1 x) (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(.f64 (-.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/250000 binary64) x) x) y) y) #s(literal 1 binary64)) (.f64 x x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/500 (/ y x)) 1))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(pow y 2)
(*.f64 y y)
(- (* 1/500 y) x)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (neg.f64 x) x))
(* y (+ 1/500 (* -1 (/ x y))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1 (* y (+ 1/500 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (/ x y) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))

rewrite247.0ms (5.9%)

Memory

5.1MiB live, 147.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	98
0	35	96
1	119	96
2	733	96
3	7959	96
0	8007	96

Stop Event

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

Counts

10 → 238

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) x)
(sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))
(.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)
#s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64)))
(.f64 (.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
(*.f64 #s(literal 1/250000 binary64) y)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))) x) #s(literal 2 binary64)))) (fma.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y (.f64 (neg.f64 x) (-.f64 x (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 x (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))) x) (-.f64 (.f64 (-.f64 x (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))) x) (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) (pow.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y (.f64 (neg.f64 x) x)) (fma.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y (.f64 (neg.f64 x) x))) (fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y))) x))
(.f64 (/.f64 (fma.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y (.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y))) x) (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)))
(.f64 (fma.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y (.f64 (-.f64 x (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))) x)) (/.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y))) x) (fma.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y (.f64 (-.f64 x (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y))) x))))
(.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y))) x) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) x) (-.f64 (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) x)))
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(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)) (-.f64 (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) (.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/250000 binary64)) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 y y) #s(literal 1/250000 binary64) (fma.f64 (.f64 #s(literal -1/500 binary64) y) x (.f64 x x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/250000 binary64)) (fma.f64 (neg.f64 x) x (.f64 (.f64 y y) #s(literal 1/250000 binary64)))) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 (.f64 (neg.f64 y) #s(literal 1/250000 binary64)) (/.f64 (neg.f64 y) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 (.f64 (.f64 #s(literal 1/500 binary64) y) y) (/.f64 #s(literal 1/500 binary64) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 (.f64 #s(literal 1/250000 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))))
(fma.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3/2 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))))
(fma.f64 (.f64 #s(literal -1/500 binary64) y) (/.f64 (.f64 #s(literal -1/500 binary64) y) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 #s(literal 1/125000000 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/125000000 binary64) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/250000 binary64)) (/.f64 (.f64 #s(literal 1/500 binary64) y) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))))
(fma.f64 (neg.f64 y) (/.f64 (.f64 (neg.f64 y) #s(literal 1/250000 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 (.f64 #s(literal 1/500 binary64) y) (/.f64 (.f64 (.f64 y y) #s(literal 1/250000 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))))
(fma.f64 (.f64 #s(literal 1/500 binary64) y) (/.f64 (.f64 #s(literal 1/500 binary64) y) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 (neg.f64 x) (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))))
(fma.f64 #s(literal 1/500 binary64) (/.f64 (.f64 (.f64 #s(literal 1/500 binary64) y) y) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1/250000 binary64) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 #s(literal 1/250000 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 y (/.f64 (.f64 #s(literal 1/250000 binary64) y) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 y #s(literal 1/500 binary64) (neg.f64 x))
(-.f64 (/.f64 (.f64 x x) (-.f64 (neg.f64 x) (.f64 #s(literal 1/500 binary64) y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/250000 binary64)) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/500 binary64) y))))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/250000 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(-.f64 (neg.f64 x) (*.f64 #s(literal -1/500 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))))
(+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/250000 binary64)) (-.f64 (.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 #s(literal 1/500 binary64) y))

eval80.0ms (1.9%)

Memory: -27.1MiB live, 60.2MiB allocated
Compiler: Compiled 10 110 to 932 computations (90.8% saved)

prune7.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	248	1	249
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	248	6	254

Accuracy

100.0%

Counts

254 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.1%	(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
✓	59.7%	(+.f64 (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) x)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
	2.2%	#s(approx (+ (sqrt (* (/ y 250000) y)) x) (*.f64 #s(literal -1/500 binary64) y))
✓	99.9%	#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
✓	51.2%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 209 to 112 computations (46.4% saved)

regimes51.0ms (1.2%)

Memory

-14.3MiB live, 32.3MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
#s(approx (+ (sqrt (* (/ y 250000) y)) x) (*.f64 #s(literal -1/500 binary64) y))
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (sqrt.f64 (.f64 #s(approx (/ y 250000) (.f64 #s(literal 1/250000 binary64) y)) y)) x)
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 #s(approx (/ y 250000) (*.f64 #s(literal 1/250000 binary64) y))) x)
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (.f64 (.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y #s(literal 250000 binary64))) x)
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))

Calls

4 calls:

40.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
3.0ms	y
3.0ms	x
3.0ms	(/.f64 y #s(literal 500 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 y #s(literal 500 binary64))`
100.0%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

#s(approx (+ (sqrt (* (/ y 250000) y)) x) (*.f64 #s(literal -1/500 binary64) y))

#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))

Outputs
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))

Calls

4 calls:

2.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms	(/.f64 y #s(literal 500 binary64))
2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`(/.f64 y #s(literal 500 binary64))`
99.9%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Accuracy

Total -31.9b remaining (-102.1%)

Threshold costs -31.9b (-102.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
#s(approx (+ (sqrt (* (/ y 250000) y)) x) (*.f64 #s(literal -1/500 binary64) y))

Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Calls

4 calls:

1.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms	(/.f64 y #s(literal 500 binary64))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
51.2%	1	`(/.f64 y #s(literal 500 binary64))`
51.2%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
51.2%	1	`x`
51.2%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify39.0ms (0.9%)

Memory

-58.2MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	13	24

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

soundness536.0ms (12.7%)

Memory

-4.6MiB live, 136.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	63	29
2	137	29
3	344	29
4	832	29
5	1846	29
6	2959	29
7	3632	29
8	4979	29
9	6485	29
10	6802	29
11	6914	29
12	6914	29
13	6914	29
14	7412	29
15	7661	29
16	7717	29
17	7717	29
18	7717	29
19	7717	29
20	7717	29
0	12489	24

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 31 to 21 computations (32.3% saved)

preprocess19.0ms (0.5%)

Memory: 43.1MiB live, 43.1MiB allocated
Compiler: Compiled 58 to 36 computations (37.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	25	118
0	35	116
1	57	116
2	101	116
3	181	116
4	268	116
5	328	116
6	338	116
7	343	116
0	343	116

Iter	Nodes	Cost
0	25	118
0	35	116
1	57	116
2	101	116
3	181	116
4	268	116
5	328	116
6	338	116
7	343	116
0	343	116

start0.0ms (0%)

analyze0.0ms (0%)

sample884.0ms (21%)

explain55.0ms (1.3%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.4%)

series3.0ms (0.1%)

simplify342.0ms (8.1%)

rewrite195.0ms (4.6%)

eval21.0ms (0.5%)

prune3.0ms (0.1%)

simplify15.0ms (0.4%)

localize428.0ms (10.2%)

series13.0ms (0.3%)

simplify165.0ms (3.9%)

rewrite229.0ms (5.4%)

eval52.0ms (1.2%)

prune8.0ms (0.2%)

simplify12.0ms (0.3%)

localize61.0ms (1.5%)

series7.0ms (0.2%)

simplify122.0ms (2.9%)

rewrite322.0ms (7.7%)

eval27.0ms (0.6%)

prune21.0ms (0.5%)

simplify11.0ms (0.3%)

localize72.0ms (1.7%)

series6.0ms (0.1%)

simplify106.0ms (2.5%)

rewrite247.0ms (5.9%)

eval80.0ms (1.9%)

prune7.0ms (0.2%)

regimes51.0ms (1.2%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

simplify39.0ms (0.9%)

soundness536.0ms (12.7%)

preprocess19.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	118
0	35	116
1	57	116
2	101	116
3	181	116
4	268	116
5	328	116
6	338	116
7	343	116
0	343	116