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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample725.0ms (25.3%)

Memory

-10.6MiB live, 758.2MiB allocated

Samples

427.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-div: 144.0ms (73.3% of total)

ival-add: 38.0ms (19.3% of total)

ival-true: 6.0ms (3.1% of total)

exact: 5.0ms (2.5% of total)

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

Bogosity

explain74.0ms (2.6%)

Memory

2.9MiB live, 79.5MiB 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

18.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% 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)

preprocess17.0ms (0.6%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	32	25
2	74	25
3	180	25
4	257	25
5	303	25
6	312	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB 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)

localize13.0ms (0.5%)

Memory

14.9MiB live, 14.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 y #s(literal 500 binary64))
accuracy	0.00390625	(+.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 (57.8% of total)

ival-add: 1.0ms (28.9% of total)

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

exact: 0.0ms (0% of total)

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

series78.0ms (2.7%)

Memory

-32.4MiB live, 5.0MiB 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
76.0ms	y	@	-inf	((+ x (/ y 500)) (/ y 500))
1.0ms	y	@	inf	((+ x (/ y 500)) (/ y 500))
0.0ms	y	@	0	((+ x (/ y 500)) (/ y 500))
0.0ms	x	@	inf	((+ x (/ y 500)) (/ y 500))
0.0ms	x	@	0	((+ x (/ y 500)) (/ y 500))

simplify203.0ms (7.1%)

Memory

-2.8MiB live, 88.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	64	29
2	141	29
3	404	29
4	1132	29
5	2620	29
6	3553	29
7	4433	29
8	4909	29
9	5084	29
10	5174	29
11	5872	29
12	6188	29
13	6188	29
14	6188	29
15	6188	29
0	8125	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)

rewrite136.0ms (4.8%)

Memory

-0.2MiB live, 156.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	31	8
2	235	8
3	3720	8
0	8347	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)))

eval18.0ms (0.6%)

Memory: -1.0MiB live, 36.4MiB allocated
Compiler: Compiled 2 767 to 435 computations (84.3% saved)

prune3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB 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)
▶	99.9%	(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	50.7%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify10.0ms (0.3%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff	0	(*.f64 #s(literal -1/500 binary64) y)
cost-diff	128	(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
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: 9 (0.0ms)

Iter	Nodes	Cost
0	12	32
0	17	31
1	25	31
2	33	31
3	42	31
4	54	31
5	78	31
6	113	31
7	147	31
8	201	31
9	247	30
10	288	30
0	288	30

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

localize119.0ms (4.1%)

Memory

-28.7MiB live, 55.2MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 y #s(literal 1/500 binary64) x)
accuracy	0.00390625	(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
accuracy	0.1328125	(*.f64 #s(literal -1/500 binary64) y)
accuracy	0.1328125	(*.f64 #s(literal 1/500 binary64) y)
accuracy	31.52171434963374	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Samples

26.0ms

256×

valid

Compiler

Compiled 63 to 26 computations (58.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

const: 6.0ms (36.2% of total)

ival-mult: 5.0ms (30.2% of total)

ival-div: 2.0ms (12.1% of total)

ival-add: 2.0ms (12.1% of total)

ival-sub: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

5 → 9

Calls

Call 1

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

Outputs
(* 1/500 y)
(+ x (* 1/500 y))
(- x (* -1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1/500 y)
(* 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)) (* 1/500 y) (- x (* -1/500 y)) (* -1/500 y) (+ (* y 1/500) x))
1.0ms	y	@	inf	((+ x (/ y 500)) (* 1/500 y) (- x (* -1/500 y)) (* -1/500 y) (+ (* y 1/500) x))
0.0ms	y	@	0	((+ x (/ y 500)) (* 1/500 y) (- x (* -1/500 y)) (* -1/500 y) (+ (* y 1/500) x))
0.0ms	x	@	0	((+ x (/ y 500)) (* 1/500 y) (- x (* -1/500 y)) (* -1/500 y) (+ (* y 1/500) x))
0.0ms	x	@	inf	((+ x (/ y 500)) (* 1/500 y) (- x (* -1/500 y)) (* -1/500 y) (+ (* y 1/500) x))

simplify157.0ms (5.5%)

Memory

14.1MiB live, 124.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	69	37
2	150	37
3	439	37
4	1251	37
5	2501	37
6	3308	37
7	3655	37
8	3970	37
9	4146	37
10	5438	37
11	6278	37
12	7126	37
13	7428	37
0	8032	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

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

rewrite177.0ms (6.2%)

Memory

2.4MiB live, 213.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
0	17	22
1	68	22
2	496	22
3	7913	22
0	8238	22

Stop Event

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

Counts

5 → 337

Calls

Call 1

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

eval20.0ms (0.7%)

Memory: 2.4MiB live, 41.1MiB allocated
Compiler: Compiled 3 968 to 461 computations (88.4% saved)

prune4.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	0	0
Picked	0	3	3
Done	1	0	1
Total	190	4	194

Accuracy

100.0%

Counts

194 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.9%	(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
▶	50.7%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	50.7%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify4.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB 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	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	14
1	9	14
0	9	14

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)

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

localize50.0ms (1.7%)

Memory

-17.7MiB live, 20.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 y #s(literal 500 binary64))
accuracy	31.52171434963374	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

Samples

45.0ms

256×

valid

Compiler

Compiled 26 to 15 computations (42.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (53.5% of total)

ival-add: 1.0ms (26.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

2 → 7

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (/.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
0.0ms	y	@	inf	((+ x (/ y 500)) (/ y 500))
0.0ms	y	@	-inf	((+ x (/ y 500)) (/ y 500))
0.0ms	x	@	inf	((+ x (/ y 500)) (/ y 500))
0.0ms	x	@	-inf	((+ x (/ y 500)) (/ y 500))
0.0ms	y	@	0	((+ x (/ y 500)) (/ y 500))

simplify200.0ms (7%)

Memory

-14.5MiB live, 66.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	64	29
2	141	29
3	404	29
4	1132	29
5	2620	29
6	3553	29
7	4433	29
8	4909	29
9	5084	29
10	5174	29
11	5872	29
12	6188	29
13	6188	29
14	6188	29
15	6188	29
0	8125	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)

rewrite296.0ms (10.3%)

Memory

5.9MiB live, 116.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
0	8	12
1	32	12
2	236	12
3	3719	12
0	8340	11

Stop Event

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

Counts

2 → 41

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 7.8MiB live, 7.8MiB allocated
Compiler: Compiled 505 to 134 computations (73.5% saved)

prune3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	42	4	46

Accuracy

100.0%

Counts

46 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.9%	(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
✓	50.7%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	50.7%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 59 to 41 computations (30.5% saved)

regimes10.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

5 → 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)
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(+.f64 x (/.f64 y #s(literal 500 binary64)))

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

Calls

4 calls:

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

regimes61.0ms (2.1%)

Memory

-11.3MiB live, 38.5MiB allocated

Counts

4 → 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)
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))

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

Calls

4 calls:

29.0ms	(/.f64 y #s(literal 500 binary64))
28.0ms	(+.f64 x (/.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)

regimes7.0ms (0.2%)

Memory

-15.0MiB live, 22.6MiB 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:

3.0ms	(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms	(/.f64 y #s(literal 500 binary64))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.7%	1	`x`
50.7%	1	`y`
50.7%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
50.7%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify9.0ms (0.3%)

Memory

19.3MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	12	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)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

soundness412.0ms (14.4%)

Memory

-22.3MiB live, 170.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	31	8
2	235	8
3	3720	8
0	8347	7
0	23	29
1	64	29
2	141	29
3	404	29
4	1132	29
5	2620	29
6	3553	29
7	4433	29
8	4909	29
9	5084	29
10	5174	29
11	5872	29
12	6188	29
13	6188	29
14	6188	29
15	6188	29
0	8125	24

Stop Event

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

preprocess54.0ms (1.9%)

Memory: -1.9MiB live, 36.5MiB allocated
Compiler: Compiled 46 to 34 computations (26.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	32
0	17	31
1	25	31
2	33	31
3	42	31
4	54	31
5	78	31
6	113	31
7	147	31
8	201	31
9	247	30
10	288	30
0	288	30

Iter	Nodes	Cost
0	12	32
0	17	31
1	25	31
2	33	31
3	42	31
4	54	31
5	78	31
6	113	31
7	147	31
8	201	31
9	247	30
10	288	30
0	288	30

start0.0ms (0%)

analyze0.0ms (0%)

sample725.0ms (25.3%)

explain74.0ms (2.6%)

preprocess17.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize13.0ms (0.5%)

series78.0ms (2.7%)

simplify203.0ms (7.1%)

rewrite136.0ms (4.8%)

eval18.0ms (0.6%)

prune3.0ms (0.1%)

simplify10.0ms (0.3%)

localize119.0ms (4.1%)

series3.0ms (0.1%)

simplify157.0ms (5.5%)

rewrite177.0ms (6.2%)

eval20.0ms (0.7%)

prune4.0ms (0.1%)

simplify4.0ms (0.1%)

localize50.0ms (1.7%)

series1.0ms (0%)

simplify200.0ms (7%)

rewrite296.0ms (10.3%)

eval4.0ms (0.2%)

prune3.0ms (0.1%)

regimes10.0ms (0.3%)

regimes61.0ms (2.1%)

regimes7.0ms (0.2%)

simplify9.0ms (0.3%)

soundness412.0ms (14.4%)

preprocess54.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	32
0	17	31
1	25	31
2	33	31
3	42	31
4	54	31
5	78	31
6	113	31
7	147	31
8	201	31
9	247	30
10	288	30
0	288	30