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

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample718.0ms (24.6%)

Memory

-9.8MiB live, 691.4MiB allocated

Samples

440.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-div: 90.0ms (63.1% of total)

ival-add: 39.0ms (27.4% of total)

ival-true: 6.0ms (4.2% of total)

exact: 5.0ms (3.5% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

explain56.0ms (1.9%)

Memory

11.5MiB live, 84.7MiB 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 42 to 24 computations (42.9% saved)

Precisions

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

ival-div: 4.0ms (54.7% of total)

ival-add: 2.0ms (27.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess33.0ms (1.1%)

Memory

-25.9MiB live, 12.8MiB 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

0.3MiB 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)

simplify3.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.5%)

Memory

11.6MiB live, 11.6MiB 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: 4.0ms

ival-div: 2.0ms (56.5% of total)

ival-add: 1.0ms (28.3% 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

3.2MiB live, 3.2MiB allocated

Counts

2 → 7

Calls

Call 1

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

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

Calls

6 calls:

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

simplify173.0ms (5.9%)

Memory

0.8MiB live, 84.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	64	29
2	141	29
3	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)

rewrite230.0ms (7.9%)

Memory

2.0MiB live, 198.9MiB 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: 7.1MiB live, 43.7MiB allocated
Compiler: Compiled 2 767 to 435 computations (84.3% saved)

prune15.0ms (0.5%)

Memory

-25.9MiB live, 21.3MiB 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)
✓	100.0%	(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
▶	51.4%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 25 to 24 computations (4% saved)

simplify4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff	0	(/.f64 #s(literal 500 binary64) y)
cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	19	35
1	26	35
0	26	35

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

localize46.0ms (1.6%)

Memory

-17.8MiB live, 57.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 y #s(literal 1/500 binary64) x)
accuracy	0.0	(/.f64 #s(literal 500 binary64) y)
accuracy	0.00390625	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
accuracy	0.11328125	(*.f64 #s(literal 1/500 binary64) y)
accuracy	31.02115162745643	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Samples

30.0ms

256×

valid

Compiler

Compiled 79 to 29 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

const: 8.0ms (40.1% of total)

ival-div: 5.0ms (25.1% of total)

ival-add: 3.0ms (15% of total)

ival-mult: 3.0ms (15% 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

6.0MiB live, 6.0MiB allocated

Counts

6 → 8

Calls

Call 1

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

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

simplify189.0ms (6.5%)

Memory

36.0MiB live, 150.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	32
1	66	32
2	143	32
3	409	32
4	1130	32
5	2686	32
6	3652	32
7	4592	32
8	5096	32
9	5290	32
10	5397	32
11	6115	32
12	6439	32
13	6441	32
14	6441	32
15	6441	32
0	8675	27

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 7

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)))
(/ 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
(* 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)
(/ 500 y)
(/.f64 #s(literal 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)

rewrite235.0ms (8%)

Memory

-33.1MiB live, 171.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
0	19	25
1	76	25
2	488	25
3	6228	25
0	8773	25

Stop Event

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

Counts

6 → 449

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
(/.f64 #s(literal 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 (.f64 #s(literal -1 binary64) (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 (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 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1/500 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)) (.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 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 #s(literal -1/500 binary64) (/.f64 (neg.f64 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 -1/500 binary64) y)
(*.f64 (neg.f64 y) #s(literal -1/500 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 binary64) (.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) (neg.f64 y))
(*.f64 #s(literal 1/500 binary64) y)
(.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal -1/500 binary64))
(*.f64 y #s(literal 1/500 binary64))
(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 (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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -500 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 500 binary64))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -500 binary64))
(/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 (neg.f64 y) #s(literal 500 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64))
(/.f64 y #s(literal -500 binary64))
(/.f64 y #s(literal 500 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 (.f64 (log.f64 (/.f64 #s(literal -500 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -500 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -1/500 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(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)))
(.f64 (.f64 #s(literal -1 binary64) (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 (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 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1/500 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)) (.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 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 #s(literal -1/500 binary64) (/.f64 (neg.f64 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 -1/500 binary64) y)
(*.f64 (neg.f64 y) #s(literal -1/500 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 binary64) (.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) (neg.f64 y))
(*.f64 #s(literal 1/500 binary64) y)
(.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal -1/500 binary64))
(*.f64 y #s(literal 1/500 binary64))
(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 (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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -500 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 500 binary64))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -500 binary64))
(/.f64 #s(literal -1/500 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 (neg.f64 y) #s(literal 500 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64))
(/.f64 y #s(literal -500 binary64))
(/.f64 y #s(literal 500 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 (.f64 (log.f64 (/.f64 #s(literal -500 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -500 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -1/500 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(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)))
(.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #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 #s(literal -1/250000 binary64) (.f64 y y) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))
(.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #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))))) (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 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #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 (/.f64 #s(literal -500 binary64) y) #s(literal -4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) #s(literal 2 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 (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 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 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) (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -2 binary64))))))
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(fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -2 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)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/500 binary64) y) x)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal 2 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 (.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 #s(literal -1/250000 binary64) (.f64 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) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal 2 binary64))) (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 -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 #s(literal -1/250000 binary64) (.f64 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 -500 binary64) y) #s(literal -2 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal 2 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 #s(literal -1 binary64) (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)) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (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 (neg.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)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.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 #s(literal 1/250000 binary64) y) (/.f64 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)))))
(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 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1/500 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1/500 binary64) x)
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64) x)
(fma.f64 (.f64 #s(literal -1/500 binary64) (.f64 y y)) (/.f64 #s(literal 1/500 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 #s(literal -1/500 binary64) (.f64 y y)) (/.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 #s(literal 1/250000 binary64) (/.f64 (.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)))))
(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 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64))) x)
(fma.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) 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)) (neg.f64 (neg.f64 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 #s(literal -1/500 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/500 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #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 (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/500 binary64) y x)
(fma.f64 (.f64 y y) (/.f64 #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)))))
(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 (pow.f64 (/.f64 #s(literal -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 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/500 binary64) y) 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 (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 (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 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 (.f64 #s(literal 1/250000 binary64) y) (/.f64 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)))))
(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 #s(literal 1/500 binary64) (/.f64 (.f64 #s(literal -1/500 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)))))
(fma.f64 #s(literal 1/500 binary64) (/.f64 (.f64 #s(literal -1/500 binary64) (.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 #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 (neg.f64 (neg.f64 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) (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 #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) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64) x)
(fma.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64) (neg.f64 (neg.f64 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) (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 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) (neg.f64 (neg.f64 x)))
(fma.f64 y #s(literal 1/500 binary64) 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))
(-.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 -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 #s(literal 1/250000 binary64) y) (/.f64 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 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x))
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/250000 binary64) y) (/.f64 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 #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 (1.5%)

Memory: 16.8MiB live, 54.9MiB allocated
Compiler: Compiled 3 959 to 619 computations (84.4% saved)

prune5.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	249	2	251
Fresh	0	0	0
Picked	0	3	3
Done	1	0	1
Total	250	5	255

Accuracy

100.0%

Counts

255 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
▶	51.5%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
▶	2.3%	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
✓	51.4%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 38 to 35 computations (7.9% saved)

simplify15.0ms (0.5%)

Memory

-40.3MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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)))
cost-diff	0	(*.f64 y #s(literal -1/500 binary64))
cost-diff	0	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	12	28
1	14	28
0	14	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize32.0ms (1.1%)

Memory

24.7MiB live, 62.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y #s(literal 500 binary64))
accuracy	31.02115162745643	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
accuracy	0.11328125	(*.f64 y #s(literal -1/500 binary64))
accuracy	62.55757158039524	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))

Samples

27.0ms

256×

valid

Compiler

Compiled 50 to 20 computations (60% saved)

Precisions

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

const: 4.0ms (41.8% of total)

ival-div: 2.0ms (20.9% of total)

ival-add: 2.0ms (20.9% of total)

ival-mult: 2.0ms (20.9% 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

5.8MiB live, 5.8MiB allocated

Counts

4 → 8

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
(*.f64 y #s(literal -1/500 binary64))
#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)))
(* -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)) (* y -1/500) (+ x (/ y 500)) (/ y 500))
1.0ms	y	@	inf	((+ x (/ y 500)) (* y -1/500) (+ x (/ y 500)) (/ y 500))
0.0ms	y	@	0	((+ x (/ y 500)) (* y -1/500) (+ x (/ y 500)) (/ y 500))
0.0ms	x	@	-inf	((+ x (/ y 500)) (* y -1/500) (+ x (/ y 500)) (/ y 500))
0.0ms	x	@	inf	((+ x (/ y 500)) (* y -1/500) (+ x (/ y 500)) (/ y 500))

simplify203.0ms (6.9%)

Memory

-19.6MiB live, 100.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	32
1	65	32
2	141	32
3	407	32
4	1142	32
5	2676	32
6	3603	32
7	4469	32
8	4945	32
9	5119	32
10	5209	32
11	5907	32
12	6223	32
13	6225	32
14	6225	32
15	6225	32
0	8233	27

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 7

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)))
(* -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
(* 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)

rewrite126.0ms (4.3%)

Memory

27.9MiB live, 100.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
0	12	24
1	37	24
2	240	24
3	3710	24
0	8333	22

Stop Event

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

Counts

4 → 55

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
(*.f64 y #s(literal -1/500 binary64))
#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 #s(literal -1 binary64) (.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) (neg.f64 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) y)
(*.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 y #s(literal -500 binary64))
(neg.f64 (*.f64 #s(literal 1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/500 binary64) y))
#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 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 #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 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 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 #s(literal -1/500 binary64) (neg.f64 (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 1/500 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))

eval6.0ms (0.2%)

Memory: 7.6MiB live, 7.6MiB allocated
Compiler: Compiled 660 to 163 computations (75.3% saved)

prune48.0ms (1.6%)

Memory

-32.0MiB live, 6.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	57	5	62

Accuracy

100.0%

Counts

62 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal 1/500 binary64) x)
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
✓	51.5%	#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓	2.3%	#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
✓	51.4%	#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

Compiler

Compiled 81 to 55 computations (32.1% saved)

regimes11.0ms (0.4%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes8.0ms (0.3%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal -1/500 binary64)))
(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	x
2.0ms	y

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)

regimes6.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total -32.1b remaining (-103.2%)

Threshold costs -32.1b (-103.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`y`
51.4%	1	`(+.f64 x (/.f64 y #s(literal 500 binary64)))`
51.4%	1	`(/.f64 y #s(literal 500 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify96.0ms (3.3%)

Memory

-35.2MiB live, 20.4MiB 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))

soundness559.0ms (19.1%)

Memory

13.2MiB live, 208.6MiB 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)

preprocess20.0ms (0.7%)

Memory: 6.2MiB live, 44.2MiB 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%)

sample718.0ms (24.6%)

explain56.0ms (1.9%)

preprocess33.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.5%)

series3.0ms (0.1%)

simplify173.0ms (5.9%)

rewrite230.0ms (7.9%)

eval18.0ms (0.6%)

prune15.0ms (0.5%)

simplify4.0ms (0.1%)

localize46.0ms (1.6%)

series3.0ms (0.1%)

simplify189.0ms (6.5%)

rewrite235.0ms (8%)

eval44.0ms (1.5%)

prune5.0ms (0.2%)

simplify15.0ms (0.5%)

localize32.0ms (1.1%)

series2.0ms (0.1%)

simplify203.0ms (6.9%)

rewrite126.0ms (4.3%)

eval6.0ms (0.2%)

prune48.0ms (1.6%)

regimes11.0ms (0.4%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

simplify96.0ms (3.3%)

soundness559.0ms (19.1%)

preprocess20.0ms (0.7%)

end0.0ms (0%)

Profiling