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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample424.0ms (20.7%)

Memory

166.2MiB live, 166.2MiB allocated

Samples

242.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-div: 61.0ms (56.1% of total)

ival-add: 35.0ms (32.2% of total)

ival-true: 5.0ms (4.6% of total)

exact: 4.0ms (3.7% of total)

ival-assert: 3.0ms (2.8% of total)

Bogosity

explain55.0ms (2.7%)

Memory

28.6MiB live, 28.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

19.0ms

512×

valid

Compiler

Compiled 53 to 32 computations (39.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (56.1% of total)

ival-add: 2.0ms (28% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.9%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	32	25
2	74	25
3	176	25
4	245	25
5	294	25
6	301	25
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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify2.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize12.0ms (0.6%)

Memory

5.7MiB live, 5.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	0.01171875	(+.f64 x (/.f64 y #s(literal 500 binary64)))

Samples

9.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (59.8% of total)

ival-add: 1.0ms (29.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

2 → 7

Calls

Call 1

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

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

Calls

6 calls:

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

simplify171.0ms (8.4%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	64	29
2	141	29
3	395	29
4	1110	29
5	2491	29
6	3389	29
7	4261	29
8	4737	29
9	4912	29
10	5002	29
11	5700	29
12	6016	29
13	6016	29
14	6016	29
15	6016	29
0	8660	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)

rewrite105.0ms (5.1%)

Memory

38.1MiB live, 38.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	31	8
2	235	8
3	3706	8
0	8295	7

Stop Event

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

Counts

2 → 154

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.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 x #s(literal 4 binary64)) (.f64 #s(literal 1/250000 binary64) (pow.f64 (.f64 y (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (.f64 #s(literal -1/500 binary64) y) (-.f64 (*.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 1/125000000 binary64) (pow.f64 (.f64 y (-.f64 (.f64 #s(literal 1/500 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/500 binary64) y) x) (.f64 #s(literal 1/500 binary64) y)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/500 binary64) y) x) (.f64 #s(literal 1/500 binary64) y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/500 binary64) y x))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (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 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x) (*.f64 x 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 -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #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))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (pow.f64 (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x)) #s(literal -1 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)))) (pow.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (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 x x)) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))
(.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.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 x (fma.f64 #s(literal -1/500 binary64) y x)))))
(.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (.f64 (fma.f64 #s(literal 1/500 binary64) y x) (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/500 binary64) y x) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 #s(literal -1/500 binary64) y x)))
(.f64 (fma.f64 #s(literal 1/500 binary64) y x) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/500 binary64) y) x) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/500 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/500 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64))) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (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 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) (.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))))))
(/.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 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x)))))
(/.f64 (neg.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 (neg.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (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 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64))) #s(literal 1 binary64))) (neg.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 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/500 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))))))
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(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))

eval15.0ms (0.7%)

Memory: 12.5MiB live, 12.5MiB allocated
Compiler: Compiled 2 767 to 435 computations (84.3% saved)

prune3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	153	3	156
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	153	4	157

Accuracy

100.0%

Counts

157 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	52.7%	(/.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	53.5%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify4.0ms (0.2%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))
cost-diff	0	(/.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (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	16	56
0	26	56
1	35	56
2	38	56
0	38	56

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

localize44.0ms (2.1%)

Memory

18.5MiB live, 18.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.078125	(fma.f64 y #s(literal 1/500 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0.07421875	(fma.f64 #s(literal -1/500 binary64) y x)
accuracy	5.253883544132265	(fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))
accuracy	29.721878482636395	(/.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
accuracy	0.140625	(*.f64 #s(literal 1/500 binary64) y)
accuracy	29.67340197104834	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Samples

34.0ms

256×

valid

Compiler

Compiled 115 to 36 computations (68.7% saved)

Precisions

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

ival-mult: 8.0ms (32.7% of total)

const: 8.0ms (32.7% of total)

ival-add: 4.0ms (16.3% of total)

ival-div: 3.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.3%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

8 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

simplify80.0ms (3.9%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	95
1	131	95
2	338	95
3	985	95
4	2570	95
5	5675	95
6	7898	95
0	8021	82

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

rewrite124.0ms (6.1%)

Memory

54.4MiB live, 54.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	47
0	26	55
1	99	55
2	752	37
0	9101	37

Stop Event

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

Counts

8 → 722

Calls

Call 1

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

Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/500 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/500 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
(.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 500 binary64) y)) #s(literal -1 binary64)))
(.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 x #s(literal 4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -500 binary64) y)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -500 binary64) y))))
(.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 x #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -500 binary64) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -500 binary64) y)) (-.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -500 binary64) y)) (*.f64 x 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 x (fma.f64 #s(literal -1/500 binary64) y x)) #s(literal 2 binary64)))) (-.f64 (.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))) (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) (-.f64 (.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) (.f64 #s(literal 1/250000 binary64) (*.f64 y y))))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/500 binary64) y x)) (-.f64 (.f64 #s(literal -1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/250000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/500 binary64) y x)) (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/500 binary64) y x)) (-.f64 (pow.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (+.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 (fma.f64 #s(literal -1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/500 binary64) y x)) (fma.f64 #s(literal 1/244140625000000000000000000000000 binary64) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x)) (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) 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 x (fma.f64 #s(literal 1/500 binary64) y x)))))
(.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 1/500 binary64) y x))
(.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x)))) (fma.f64 #s(literal 1/500 binary64) y x))
(.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))) (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 x (fma.f64 #s(literal 1/500 binary64) y x)))))
(.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #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 #s(literal -1 binary64) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (*.f64 x x))))
(.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.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 -1/250000 binary64) (.f64 y y) (.f64 x x)) (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 x (fma.f64 #s(literal 1/500 binary64) y x))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))
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(.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal 1/500 binary64) y x))) (.f64 (fma.f64 #s(literal -1/500 binary64) y x) (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal 1/500 binary64) y x))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (*.f64 #s(literal 1/500 binary64) y) (fma.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))) (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/500 binary64) y x) (.f64 (-.f64 (*.f64 #s(literal -1/500 binary64) y) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))))
(*.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/500 binary64) y x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/500 binary64) y x) (.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 x x)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal 1/500 binary64) y x))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal 1/500 binary64) y x))) #s(literal -1 binary64))) (-.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))))
(/.f64 (.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/500 binary64) y) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x)))) (+.f64 (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x)) (.f64 (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) 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 x (fma.f64 #s(literal 1/500 binary64) y x))))))
(/.f64 (neg.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 x (fma.f64 #s(literal 1/500 binary64) y x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal -1/500 binary64) y) x)) (.f64 (-.f64 (.f64 #s(literal -1/500 binary64) y) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal -1/500 binary64) y) x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x)))
(/.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))
(/.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 1/500 binary64) y x) (fma.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 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal 1/500 binary64) y x))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) 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 x (fma.f64 #s(literal 1/500 binary64) y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 x x (.f64 (.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x))) (-.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)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal 1/500 binary64) y x))) (-.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)))))
(/.f64 (-.f64 (.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/500 binary64) y) x) (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (+.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 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 x x (.f64 (.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x))) (-.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal 1/500 binary64) y x))) (-.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal -1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/500 binary64) y x)) (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/500 binary64) y) x) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))) (.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/500 binary64) y) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x))) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 1/500 binary64) y x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (*.f64 #s(literal 1/500 binary64) y) (fma.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))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.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))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/250000 binary64) y) y (.f64 x (fma.f64 #s(literal 1/500 binary64) y x))))))
(/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 #s(literal 1/500 binary64) y) (fma.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 x (fma.f64 #s(literal 1/500 binary64) y x))))
(/.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal 1/500 binary64) y x))
(neg.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(fma.f64 (/.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (-.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 x (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x))))
(fma.f64 (/.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (.f64 y y) (.f64 x x)))) (fma.f64 #s(literal -1/500 binary64) y x) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/500 binary64) y))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/500 binary64) y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/500 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/500 binary64) y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/500 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/500 binary64) y))
(fma.f64 (.f64 #s(literal 1/250000 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x))))
(fma.f64 (neg.f64 y) #s(literal 1/500 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 y) #s(literal 1/500 binary64) x)
(fma.f64 #s(literal -1/500 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/500 binary64) y x)
(fma.f64 #s(literal 1/500 binary64) (neg.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/500 binary64) (neg.f64 y) x)
(fma.f64 y #s(literal -1/500 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 y #s(literal -1/500 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 x x (.f64 (*.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x)))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/500 binary64) y x)) (/.f64 (.f64 #s(literal 1/250000 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/500 binary64) y))
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal -1/500 binary64) y))
(+.f64 (/.f64 (.f64 #s(literal -1/250000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/500 binary64) y) x))))
(+.f64 (*.f64 #s(literal -1/500 binary64) y) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 #s(literal -1/500 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/500 binary64) y))

eval44.0ms (2.2%)

Memory: 39.8MiB live, 39.8MiB allocated
Compiler: Compiled 12 990 to 1 298 computations (90% saved)

prune7.0ms (0.3%)

Memory

18.5MiB live, 18.5MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	503	2	505
Fresh	0	0	0
Picked	1	2	3
Done	1	0	1
Total	505	4	509

Accuracy

100.0%

Counts

509 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
▶	31.2%	(/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal -1/500 binary64) y x))
▶	53.6%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	53.5%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 42 to 34 computations (19% saved)

simplify3.0ms (0.2%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	65
0	24	65
1	31	65
2	34	65
0	34	63

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (1.7%)

Memory

14.8MiB live, 14.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 #s(literal -1/500 binary64) y x)
accuracy	0.19921875	(.f64 (.f64 y y) #s(literal -1/250000 binary64))
accuracy	28.25251875391846	#s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))
accuracy	29.721878482636395	(/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal -1/500 binary64) y x))
accuracy	0	(/.f64 y #s(literal 500 binary64))
accuracy	29.67340197104834	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Samples

27.0ms

256×

valid

Compiler

Compiled 118 to 36 computations (69.5% saved)

Precisions

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

ival-mult: 6.0ms (32.7% of total)

const: 6.0ms (32.7% of total)

ival-div: 3.0ms (16.4% of total)

ival-add: 3.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

7 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

simplify77.0ms (3.8%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	95
1	131	95
2	338	95
3	985	95
4	2572	95
5	5703	95
6	7929	95
0	8052	82

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

rewrite97.0ms (4.7%)

Memory

38.3MiB live, 38.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
0	24	59
1	85	59
2	624	59
0	8686	56

Stop Event

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

Counts

7 → 243

Calls

Call 1

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

Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(.f64 (.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 500 binary64) y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (fma.f64 #s(literal 1/500 binary64) y x))
(.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (*.f64 (fma.f64 #s(literal 1/500 binary64) y x) x))))
(.f64 (/.f64 (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)))) (fma.f64 #s(literal 1/500 binary64) y x))
(.f64 (/.f64 (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal 1/500 binary64) y x) x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))))) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal 1/500 binary64) y x) x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))))
(.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)))) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x))
(.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal 1/500 binary64) y x) x)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal 1/500 binary64) y x) x)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal -1/500 binary64) y) x) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))
(.f64 (pow.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal 1/500 binary64) y x) x)) #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))
(.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #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 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal -1/500 binary64) y x)))
(.f64 (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal 1/500 binary64) y x) x)) (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))
(.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal -1/500 binary64) y x)) #s(literal 1 binary64))
(.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/500 binary64) y x))
(/.f64 (.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.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 x (fma.f64 #s(literal -1/500 binary64) y x) (.f64 #s(literal 1/250000 binary64) (*.f64 y y))))
(/.f64 (.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/250000 binary64) (.f64 x x)))) (fma.f64 #s(literal -1/500 binary64) y x))
(/.f64 (.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.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 #s(literal 1/250000 binary64) (.f64 y y)) (*.f64 (fma.f64 #s(literal 1/500 binary64) y x) x)))
(/.f64 (.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 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 #s(literal 1/250000 binary64) (.f64 y y))))))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
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(fma.f64 y #s(literal -1/500 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal 1/500 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/250000 binary64) (.f64 y y) (*.f64 (fma.f64 #s(literal 1/500 binary64) y x) x))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/500 binary64) y x)) (/.f64 (.f64 #s(literal 1/250000 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal 1 binary64)) (/.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/500 binary64) y) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 #s(literal 1/500 binary64) y x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/500 binary64) y) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/500 binary64) y))
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal -1/500 binary64) y))
(+.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 #s(literal 1/500 binary64) y x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/500 binary64) y) x)))))
(+.f64 (*.f64 #s(literal -1/500 binary64) y) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 #s(literal -1/500 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/500 binary64) y))

eval24.0ms (1.2%)

Memory: 21.7MiB live, 21.7MiB allocated
Compiler: Compiled 7 687 to 738 computations (90.4% saved)

prune5.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	248	1	249
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	248	5	253

Accuracy

100.0%

Counts

253 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	31.2%	(/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal -1/500 binary64) y x))
▶	31.6%	(/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)))
✓	53.6%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	53.5%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify3.0ms (0.2%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
0	20	63
1	26	63
2	29	63
0	29	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (1.5%)

Memory

12.6MiB live, 12.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(.f64 (.f64 y y) #s(literal -1/250000 binary64))
accuracy	28.25251875391846	#s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))
accuracy	29.472159775197525	#s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))
accuracy	29.721878482636395	(/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)))

Samples

23.0ms

256×

valid

Compiler

Compiled 108 to 31 computations (71.3% saved)

Precisions

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

ival-mult: 6.0ms (37.4% of total)

const: 6.0ms (37.4% of total)

ival-add: 2.0ms (12.5% of total)

ival-div: 1.0ms (6.2% of total)

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

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

series4.0ms (0.2%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

5 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((/ (+ (* (* y y) -1/250000) (* x x)) (+ (* -1/500 y) x)) (+ (* (* y y) -1/250000) (* x x)) (* (* y y) -1/250000) (* y y) (+ (* -1/500 y) x))
1.0ms	y	@	-inf	((/ (+ (* (* y y) -1/250000) (* x x)) (+ (* -1/500 y) x)) (+ (* (* y y) -1/250000) (* x x)) (* (* y y) -1/250000) (* y y) (+ (* -1/500 y) x))
1.0ms	x	@	-inf	((/ (+ (* (* y y) -1/250000) (* x x)) (+ (* -1/500 y) x)) (+ (* (* y y) -1/250000) (* x x)) (* (* y y) -1/250000) (* y y) (+ (* -1/500 y) x))
1.0ms	x	@	inf	((/ (+ (* (* y y) -1/250000) (* x x)) (+ (* -1/500 y) x)) (+ (* (* y y) -1/250000) (* x x)) (* (* y y) -1/250000) (* y y) (+ (* -1/500 y) x))
0.0ms	y	@	0	((/ (+ (* (* y y) -1/250000) (* x x)) (+ (* -1/500 y) x)) (+ (* (* y y) -1/250000) (* x x)) (* (* y y) -1/250000) (* y y) (+ (* -1/500 y) x))

simplify76.0ms (3.7%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	95
1	131	95
2	338	95
3	986	95
4	2570	95
5	5745	95
6	7967	95
0	8036	82

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

rewrite116.0ms (5.6%)

Memory

39.0MiB live, 39.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
0	20	57
1	61	57
2	384	57
3	3548	57
0	8664	53

Stop Event

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

Counts

5 → 72

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))) (/.f64 #s(literal -1 binary64) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(.f64 (pow.f64 (/.f64 #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(.f64 (pow.f64 #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(literal -1 binary64)) (pow.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(literal -1 binary64)) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(.f64 (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) (/.f64 #s(literal -1 binary64) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(.f64 (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))) #s(literal 1 binary64))
(.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (pow.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) (/.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(literal 1 binary64))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(literal 1 binary64))) (neg.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) (.f64 (neg.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) (/.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(literal -1 binary64)))) (.f64 (neg.f64 #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) #s(approx (+ ( -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))) (.f64 (neg.f64 #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) #s(literal 1 binary64))) (.f64 (neg.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) (/.f64 (neg.f64 #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) (.f64 (neg.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))) (.f64 (neg.f64 #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) #s(approx (+ ( -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)))) (.f64 (neg.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))) (pow.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(literal 1 binary64)) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(literal 1 binary64)) (neg.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))) (neg.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) (neg.f64 (pow.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))
(/.f64 (pow.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(literal -1 binary64)) (pow.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) (neg.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (+ (* -1/500 y) x) (.f64 #s(literal -1/500 binary64) y))) (/.f64 (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( -1/500 y) x) (.f64 #s(literal -1/500 binary64) y)) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))
(.f64 #s(literal 1 binary64) #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))))
(.f64 #s(approx (+ ( (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(literal 1 binary64))
#s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))
(neg.f64 (neg.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64)))))
(.f64 (exp.f64 (log.f64 #s(literal -1/250000 binary64))) (.f64 y y))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal -1/250000 binary64) y))) y)
(.f64 (.f64 #s(literal -1/250000 binary64) y) y)
(.f64 (.f64 y y) (exp.f64 (log.f64 #s(literal -1/250000 binary64))))
(.f64 (.f64 y y) #s(literal -1/250000 binary64))
(.f64 #s(literal -1/250000 binary64) (.f64 y y))
(.f64 y (exp.f64 (log.f64 (.f64 #s(literal -1/250000 binary64) y))))
(.f64 y (.f64 #s(literal -1/250000 binary64) y))
(pow.f64 (.f64 (.f64 y y) #s(literal -1/250000 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 #s(literal -1/250000 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 #s(literal -1/250000 binary64))))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(.f64 #s(literal 1 binary64) #s(approx (+ ( -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)))
(.f64 #s(approx (+ ( -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)) #s(literal 1 binary64))
#s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)) #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (+ ( -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y))) #s(literal -1 binary64))))

eval8.0ms (0.4%)

Memory: 6.9MiB live, 6.9MiB allocated
Compiler: Compiled 2 330 to 213 computations (90.9% saved)

prune4.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	78	5	83

Accuracy

100.0%

Counts

83 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	31.2%	(/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 #s(literal -1/500 binary64) y x))
✓	31.6%	(/.f64 #s(approx (+ (* (* y y) -1/250000) (* x x)) (.f64 (.f64 y y) #s(literal -1/250000 binary64))) #s(approx (+ (* -1/500 y) x) (*.f64 #s(literal -1/500 binary64) y)))
✓	53.6%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	53.5%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 152 to 86 computations (43.4% saved)

regimes11.0ms (0.5%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.3%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated

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:

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

Results

Accuracy	Segments	Branch
53.5%	1	`x`
53.5%	1	`y`
53.5%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
53.5%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify20.0ms (1%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	13	18

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness380.0ms (18.6%)

Memory

1.3MiB live, 1.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	64	29
2	141	29
3	395	29
4	1110	29
5	2491	29
6	3389	29
7	4261	29
8	4737	29
9	4912	29
10	5002	29
11	5700	29
12	6016	29
13	6016	29
14	6016	29
15	6016	29
0	8660	24
0	5	8
0	7	8
1	31	8
2	235	8
3	3706	8
0	8295	7

Stop Event

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

preprocess20.0ms (1%)

Memory: 13.8MiB live, 13.8MiB allocated
Compiler: Compiled 46 to 34 computations (26.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample424.0ms (20.7%)

explain55.0ms (2.7%)

preprocess19.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize12.0ms (0.6%)

series2.0ms (0.1%)

simplify171.0ms (8.4%)

rewrite105.0ms (5.1%)

eval15.0ms (0.7%)

prune3.0ms (0.1%)

simplify4.0ms (0.2%)

localize44.0ms (2.1%)

series7.0ms (0.3%)

simplify80.0ms (3.9%)

rewrite124.0ms (6.1%)

eval44.0ms (2.2%)

prune7.0ms (0.3%)

simplify3.0ms (0.2%)

localize35.0ms (1.7%)

series5.0ms (0.2%)

simplify77.0ms (3.8%)

rewrite97.0ms (4.7%)

eval24.0ms (1.2%)

prune5.0ms (0.3%)

simplify3.0ms (0.2%)

localize30.0ms (1.5%)

series4.0ms (0.2%)

simplify76.0ms (3.7%)

rewrite116.0ms (5.6%)

eval8.0ms (0.4%)

prune4.0ms (0.2%)

regimes11.0ms (0.5%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

simplify20.0ms (1%)

soundness380.0ms (18.6%)

preprocess20.0ms (1%)

end0.0ms (0%)

Profiling