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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

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)

sample591.0ms (22.3%)

Memory

22.1MiB live, 844.2MiB allocated; 182ms collecting garbage

Samples

363.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-div: 90.0ms (57.1% of total)

ival-add: 52.0ms (33% of total)

ival-true: 5.0ms (3.2% of total)

exact: 4.0ms (2.5% of total)

ival-assert: 3.0ms (1.9% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

explain58.0ms (2.2%)

Memory

-3.0MiB live, 95.6MiB allocated; 14ms collecting garbage

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

20.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (52.2% of total)

ival-add: 2.0ms (26.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.5%)

Memory

28.0MiB live, 28.0MiB allocated; 0ms collecting garbage

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

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

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

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)

localize17.0ms (0.6%)

Memory

-21.2MiB live, 25.2MiB allocated; 3ms collecting garbage

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

13.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 4.0ms (71.5% of total)

ival-add: 1.0ms (17.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

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	@	0	((+ x (/ y 500)) (/ y 500))

simplify308.0ms (11.6%)

Memory

4.5MiB live, 160.0MiB allocated; 65ms collecting garbage

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)

rewrite183.0ms (6.9%)

Memory

-22.2MiB live, 258.4MiB allocated; 40ms collecting garbage

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)))))

eval29.0ms (1.1%)

Memory: -20.6MiB live, 37.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 6 531 to 547 computations (91.6% saved)

prune15.0ms (0.6%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	176	3	179
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	176	4	180

Accuracy

100.0%

Counts

180 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.1%	(fma.f64 (sqrt.f64 (/.f64 y #s(literal 500 binary64))) (sqrt.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))
▶	50.4%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 34 to 27 computations (20.6% saved)

simplify5.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y #s(literal 500 binary64))
cost-diff	0	(sqrt.f64 (/.f64 y #s(literal 500 binary64)))
cost-diff	5	(fma.f64 (sqrt.f64 (/.f64 y #s(literal 500 binary64))) (sqrt.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	13	51
0	19	46
1	26	46
2	49	46
3	72	46
4	85	46
5	88	46
0	88	46

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
(fma.f64 (sqrt.f64 (/.f64 y #s(literal 500 binary64))) (sqrt.f64 (/.f64 y #s(literal 500 binary64))) x)
(sqrt.f64 (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 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
(fma.f64 (sqrt.f64 (/.f64 y #s(literal 500 binary64))) (sqrt.f64 (/.f64 y #s(literal 500 binary64))) x)
(-.f64 x (/.f64 y #s(literal -500 binary64)))
(sqrt.f64 (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)
x

localize32.0ms (1.2%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y #s(literal 500 binary64))
accuracy	0.078125	(sqrt.f64 (/.f64 y #s(literal 500 binary64)))
accuracy	0.11623002930532605	(fma.f64 (sqrt.f64 (/.f64 y #s(literal 500 binary64))) (sqrt.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	0.03515625	(fma.f64 #s(literal 1/500 binary64) y x)
accuracy	0.08203125	(*.f64 #s(literal 1/500 binary64) y)
accuracy	15.885582229167532	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Samples

13.0ms	135×	0	invalid
11.0ms	121×	0	valid

Compiler

Compiled 46 to 13 computations (71.7% saved)

Precisions

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

ival-add: 3.0ms (21.6% of total)

ival-mult: 3.0ms (21.6% of total)

const: 3.0ms (21.6% of total)

ival-div: 2.0ms (14.4% of total)

ival-sqrt: 2.0ms (14.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.8%)

Memory

-41.4MiB live, 5.0MiB allocated; 6ms collecting garbage

Counts

7 → 16

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)
(fma.f64 (sqrt.f64 (/.f64 y #s(literal 500 binary64))) (sqrt.f64 (/.f64 y #s(literal 500 binary64))) x)
(sqrt.f64 (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	y	@	-inf	((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (+ (* (sqrt (/ y 500)) (sqrt (/ y 500))) x) (sqrt (/ y 500)) (/ y 500))
2.0ms	y	@	inf	((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (+ (* (sqrt (/ y 500)) (sqrt (/ y 500))) x) (sqrt (/ y 500)) (/ y 500))
1.0ms	y	@	0	((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (+ (* (sqrt (/ y 500)) (sqrt (/ y 500))) x) (sqrt (/ y 500)) (/ y 500))
1.0ms	x	@	0	((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (+ (* (sqrt (/ y 500)) (sqrt (/ y 500))) x) (sqrt (/ y 500)) (/ y 500))
0.0ms	x	@	inf	((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (+ (* (sqrt (/ y 500)) (sqrt (/ y 500))) x) (sqrt (/ y 500)) (/ y 500))

simplify105.0ms (4%)

Memory

28.0MiB live, 117.2MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	74
1	142	74
2	393	74
3	1004	74
4	2494	74
5	4013	74
6	5466	74
7	5961	74
8	7248	74
0	8093	64

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

rewrite147.0ms (5.5%)

Memory

-17.0MiB live, 171.6MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
0	19	38
1	69	38
2	488	38
3	6428	38
0	8024	38

Stop Event

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

Counts

7 → 251

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)
(fma.f64 (sqrt.f64 (/.f64 y #s(literal 500 binary64))) (sqrt.f64 (/.f64 y #s(literal 500 binary64))) x)
(sqrt.f64 (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))

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))
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (fma.f64 #s(literal 1/500 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y)) x)))
(.f64 (/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x) (-.f64 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x) (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))) (fma.f64 #s(literal 1/500 binary64) y x))
(.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x)) (/.f64 (fma.f64 #s(literal 1/500 binary64) y x) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y)) x))))
(.f64 (fma.f64 #s(literal 1/500 binary64) y x) (/.f64 (-.f64 (.f64 #s(literal 1/500 binary64) y) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal 1/500 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/500 binary64) y) x))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(/.f64 (-.f64 (pow.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 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))) #s(literal 2 binary64))) (-.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 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.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 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal 1/500 binary64) y) x))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/500 binary64) y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal 1/500 binary64) y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/500 binary64) y) x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal 1/500 binary64) y) x))) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal 1/500 binary64) y) x)))))))
(/.f64 (+.f64 (pow.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 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))) #s(literal 3 binary64))) (+.f64 (pow.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 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))) #s(literal 2 binary64)) (.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 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x)))))))
(/.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 (.f64 #s(literal 1/250000 binary64) 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 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y)) x)))))
(/.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))) (pow.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x)) (.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y)) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(/.f64 (fma.f64 x x (.f64 #s(literal -1/250000 binary64) (.f64 y y))) (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 (fma.f64 #s(literal 1/250000 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))))
(/.f64 (fma.f64 #s(literal 1/1953125000000000000000000 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (-.f64 (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 #s(literal 1/500 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) 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 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y)) x))))
(/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) 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 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y)) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (neg.f64 x) x))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y)) x))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (neg.f64 x) x)) (neg.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(neg.f64 (/.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 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y)) x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) 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 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x) (-.f64 (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x) (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal 1/500 binary64) y)) x))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x (fma.f64 #s(literal 1/500 binary64) y x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 #s(literal 1/500 binary64) y) x)))
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(*.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (neg.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 y #s(literal 250000 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 y))) (neg.f64 (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 y))) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 500 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 y))) (fabs.f64 (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (sqrt.f64 (/.f64 y (sqrt.f64 #s(literal 500 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 500 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (sqrt.f64 y) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 500 binary64)))))
(/.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 500 binary64)))
(neg.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))))
(sqrt.f64 (/.f64 y #s(literal -500 binary64)))
(fabs.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 y #s(literal -500 binary64)))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (/.f64 y #s(literal -500 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y #s(literal -500 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64)))))
(+.f64 (cosh.f64 (/.f64 (log.f64 (/.f64 y #s(literal -500 binary64))) #s(literal 2 binary64))) (sinh.f64 (/.f64 (log.f64 (/.f64 y #s(literal -500 binary64))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64)))) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64)))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y #s(literal -500 binary64)))) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y #s(literal -500 binary64)))) #s(literal 1/4 binary64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))))))
(.f64 (.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 y #s(literal -500 binary64)))))
(*.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))) (sqrt.f64 #s(literal 500 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 500 binary64)))
(*.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))) (sqrt.f64 (/.f64 y #s(literal -500 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 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 y (/.f64 y #s(literal 250000 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (/.f64 y #s(literal -500 binary64)))) (neg.f64 (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (/.f64 y #s(literal -500 binary64)))) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 y #s(literal -500 binary64)))) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 #s(literal 500 binary64)))) (neg.f64 (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 #s(literal 500 binary64)))) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -500 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))) (.f64 (neg.f64 (sqrt.f64 #s(literal 500 binary64))) (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))) (.f64 (sqrt.f64 #s(literal 500 binary64)) (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))) (.f64 (neg.f64 (sqrt.f64 #s(literal 500 binary64))) (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))) (.f64 (sqrt.f64 #s(literal 500 binary64)) (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) (.f64 (neg.f64 (sqrt.f64 #s(literal 500 binary64))) (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) (.f64 (sqrt.f64 #s(literal 500 binary64)) (neg.f64 (sqrt.f64 #s(literal 500 binary64)))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 500 binary64))
(/.f64 (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 #s(literal -500 binary64)) (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 #s(literal -500 binary64)) (neg.f64 (sqrt.f64 #s(literal 500 binary64)))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)) (.f64 (sqrt.f64 #s(literal -500 binary64)) (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)) (.f64 (sqrt.f64 #s(literal -500 binary64)) (neg.f64 (sqrt.f64 #s(literal 500 binary64)))))
(/.f64 (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))) (.f64 (neg.f64 (sqrt.f64 #s(literal 500 binary64))) (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 #s(literal 500 binary64)) (neg.f64 (sqrt.f64 #s(literal 500 binary64)))))
(/.f64 (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))) #s(literal 500 binary64))
(/.f64 (fabs.f64 (/.f64 y (sqrt.f64 #s(literal 500 binary64)))) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (fabs.f64 (neg.f64 y)) #s(literal 500 binary64))
(/.f64 (fabs.f64 y) #s(literal 500 binary64))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal -250000 binary64)))
(/.f64 (/.f64 y (sqrt.f64 #s(literal 500 binary64))) (neg.f64 (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (/.f64 y (sqrt.f64 #s(literal 500 binary64))) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (/.f64 y (sqrt.f64 #s(literal 500 binary64))) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 (neg.f64 y) #s(literal 500 binary64))
(/.f64 y (*.f64 (neg.f64 (sqrt.f64 #s(literal 500 binary64))) (sqrt.f64 #s(literal 500 binary64))))
(/.f64 y (*.f64 (sqrt.f64 #s(literal 500 binary64)) (neg.f64 (sqrt.f64 #s(literal 500 binary64)))))
(/.f64 y #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (/.f64 y #s(literal -500 binary64)))
(sqrt.f64 (*.f64 y (/.f64 y #s(literal 250000 binary64))))
(fabs.f64 (/.f64 y #s(literal -500 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 y #s(literal -500 binary64)))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal -500 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y #s(literal -500 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (/.f64 y #s(literal -500 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 y #s(literal -500 binary64))) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 y #s(literal -500 binary64))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y #s(literal -500 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y #s(literal -500 binary64)))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (/.f64 y #s(literal -500 binary64)))) (sinh.f64 (log.f64 (/.f64 y #s(literal -500 binary64)))))

eval112.0ms (4.2%)

Memory: -17.2MiB live, 97.3MiB allocated; 73ms collecting garbage
Compiler: Compiled 8 353 to 963 computations (88.5% saved)

prune6.0ms (0.2%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	355	1	356
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	356	4	360

Accuracy

100.0%

Counts

360 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))
▶	56.1%	#s(approx (+ x (/ y 500)) (/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
✓	50.4%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 45 to 36 computations (20% saved)

simplify15.0ms (0.6%)

Memory

17.9MiB live, 18.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
0	23	66
1	40	66
2	77	66
3	168	66
4	352	66
5	620	66
6	757	66
7	764	66
0	764	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (2.5%)

Memory

-35.1MiB live, 106.5MiB allocated; 34ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(*.f64 #s(literal 1/500 binary64) y)
accuracy	0.30078125	(*.f64 #s(literal 1/250000 binary64) y)
accuracy	2.804657223661162	(fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (neg.f64 x) x))
accuracy	27.863494677805615	(/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))

Samples

42.0ms

256×

valid

Compiler

Compiled 54 to 17 computations (68.5% saved)

Precisions

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

const: 8.0ms (34% of total)

ival-mult: 6.0ms (25.5% of total)

ival-div: 4.0ms (17% of total)

ival-add: 2.0ms (8.5% of total)

ival-sub: 1.0ms (4.3% of total)

ival-neg: 1.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.3%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

5 → 13

Calls

Call 1

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

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

Calls

6 calls:

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

simplify80.0ms (3%)

Memory

1.2MiB live, 92.8MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	85
1	107	85
2	268	83
3	1049	83
4	3720	83
5	7590	83
0	8276	80

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 12

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

rewrite254.0ms (9.6%)

Memory

40.4MiB live, 223.1MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
0	23	51
1	81	31
2	602	31
3	7018	31
0	8035	29

Stop Event

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

Counts

5 → 324

Calls

Call 1

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

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

eval100.0ms (3.8%)

Memory: -6.5MiB live, 93.6MiB allocated; 16ms collecting garbage
Compiler: Compiled 13 641 to 1 313 computations (90.4% saved)

prune40.0ms (1.5%)

Memory

-24.1MiB live, 20.3MiB allocated; 4ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	332	0	332
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	332	4	336

Accuracy

100.0%

Counts

336 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))
✓	56.1%	#s(approx (+ x (/ y 500)) (/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
✓	50.4%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 100 to 59 computations (41% saved)

regimes9.0ms (0.3%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

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)

regimes5.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.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:

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

regimes25.0ms (0.9%)

Memory

-36.4MiB live, 10.3MiB allocated; 2ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms	(/.f64 y #s(literal 500 binary64))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.4%	1	`(/.f64 y #s(literal 500 binary64))`
50.4%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
50.4%	1	`x`
50.4%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify10.0ms (0.4%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

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))

derivations373.0ms (14.1%)

Memory

-20.5MiB live, 125.3MiB allocated; 47ms collecting garbage

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 24 to 13 computations (45.8% saved)

preprocess19.0ms (0.7%)

Memory: 28.8MiB live, 28.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 58 to 36 computations (37.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample591.0ms (22.3%)

explain58.0ms (2.2%)

preprocess14.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize17.0ms (0.6%)

series3.0ms (0.1%)

simplify308.0ms (11.6%)

rewrite183.0ms (6.9%)

eval29.0ms (1.1%)

prune15.0ms (0.6%)

simplify5.0ms (0.2%)

localize32.0ms (1.2%)

series21.0ms (0.8%)

simplify105.0ms (4%)

rewrite147.0ms (5.5%)

eval112.0ms (4.2%)

prune6.0ms (0.2%)

simplify15.0ms (0.6%)

localize66.0ms (2.5%)

series9.0ms (0.3%)

simplify80.0ms (3%)

rewrite254.0ms (9.6%)

eval100.0ms (3.8%)

prune40.0ms (1.5%)

regimes9.0ms (0.3%)

regimes5.0ms (0.2%)

regimes25.0ms (0.9%)

simplify10.0ms (0.4%)

derivations373.0ms (14.1%)

preprocess19.0ms (0.7%)

end0.0ms (0%)

Profiling