Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, A

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)

sample697.0ms (25.2%)

Memory

15.5MiB live, 680.7MiB allocated

Samples

425.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-add: 104.0ms (57.4% of total)

ival-div: 64.0ms (35.3% of total)

ival-true: 5.0ms (2.8% of total)

exact: 5.0ms (2.8% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain97.0ms (3.5%)

Memory

-25.4MiB live, 97.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 53 to 30 computations (43.4% saved)

Precisions

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

ival-div: 4.0ms (53.2% of total)

ival-add: 3.0ms (39.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess23.0ms (0.8%)

Memory

7.8MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	35	25
2	66	25
3	139	25
4	348	25
5	523	25
6	555	25
7	572	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 (+.f64 x y) #s(literal 2 binary64))

Outputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(/.f64 (+.f64 y x) #s(literal 2 binary64))

Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) #s(literal 2 binary64))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) #s(literal 2 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 (+.f64 x y) #s(literal 2 binary64))
(+.f64 x y)
x
y
#s(literal 2 binary64)

Outputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(/.f64 (+.f64 y x) #s(literal 2 binary64))
(+.f64 x y)
(+.f64 y x)
x
y
#s(literal 2 binary64)

localize13.0ms (0.5%)

Memory

27.9MiB live, 27.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 (+.f64 x y) #s(literal 2 binary64))
accuracy	0	(+.f64 x y)

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 (55.7% of total)

ival-add: 1.0ms (27.9% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (1.1%)

Memory

-37.4MiB live, 5.7MiB allocated

Counts

2 → 14

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(+.f64 x y)

Outputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	y	@	0	((/ (+ x y) 2) (+ x y))
1.0ms	y	@	-inf	((/ (+ x y) 2) (+ x y))
0.0ms	x	@	inf	((/ (+ x y) 2) (+ x y))
0.0ms	x	@	-inf	((/ (+ x y) 2) (+ x y))
0.0ms	y	@	inf	((/ (+ x y) 2) (+ x y))

simplify179.0ms (6.5%)

Memory

8.9MiB live, 179.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	48
1	115	48
2	264	48
3	783	48
4	1826	48
5	2659	48
6	3332	48
7	3633	48
8	3797	48
9	3833	48
10	6109	48
0	8059	48

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 12

Calls

Call 1

Inputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
y
(+ x y)
(+.f64 y x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite159.0ms (5.7%)

Memory

9.8MiB live, 236.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	31	8
2	182	8
3	1731	8
0	8175	8

Stop Event

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

Counts

2 → 370

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(+.f64 x y)

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

eval108.0ms (3.9%)

Memory: 0.3MiB live, 84.9MiB allocated
Compiler: Compiled 8 298 to 1 094 computations (86.8% saved)

prune7.0ms (0.3%)

Memory

-17.0MiB live, 21.8MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	371	3	374
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	372	3	375

Accuracy

100.0%

Counts

375 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
▶	52.0%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
▶	49.1%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	16	39
1	20	39
2	22	39
0	22	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
x
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
x
#s(literal 1/2 binary64)

localize65.0ms (2.3%)

Memory

15.5MiB live, 53.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	30.736842587861087	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	32.54643499465226	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Samples

58.0ms

256×

valid

Compiler

Compiled 72 to 24 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 44.0ms (88.5% of total)

ival-add: 3.0ms (6% of total)

ival-div: 2.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

-25.9MiB live, 12.1MiB allocated

Counts

6 → 14

Calls

Call 1

Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)

Outputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
y
(+ x y)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (* (+ y x) 1/2) (+ y x))
1.0ms	x	@	inf	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (* (+ y x) 1/2) (+ y x))
0.0ms	y	@	-inf	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (* (+ y x) 1/2) (+ y x))
0.0ms	x	@	0	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (* (+ y x) 1/2) (+ y x))
0.0ms	y	@	inf	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (* (+ y x) 1/2) (+ y x))

simplify256.0ms (9.3%)

Memory

21.4MiB live, 139.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	48
1	115	48
2	264	48
3	787	48
4	1834	48
5	2673	48
6	3344	48
7	3645	48
8	3807	48
9	3843	48
10	6065	48
0	8015	48

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 12

Calls

Call 1

Inputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
y
(+ x y)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
y
(+ x y)
(+.f64 y x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite302.0ms (10.9%)

Memory

-18.5MiB live, 275.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
0	16	32
1	50	32
2	304	32
3	3209	32
0	8495	32

Stop Event

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

Counts

6 → 454

Calls

Call 1

Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)

Outputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (.f64 (-.f64 y x) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (*.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (*.f64 (-.f64 x y) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 y x)))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (pow.f64 (*.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (/.f64 (+.f64 y x) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x y) x (.f64 y y))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) #s(literal 2 binary64)))
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(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y x))) (neg.f64 (+.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 y x)
(+.f64 x y)

eval51.0ms (1.9%)

Memory: -9.5MiB live, 108.3MiB allocated
Compiler: Compiled 10 174 to 1 356 computations (86.7% saved)

prune8.0ms (0.3%)

Memory

30.6MiB live, 30.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	457	0	457
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	457	3	460

Accuracy

100.0%

Counts

460 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
✓	52.0%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
✓	49.1%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 51 to 36 computations (29.4% saved)

regimes11.0ms (0.4%)

Memory

-9.5MiB live, 27.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(/.f64 (+.f64 x y) #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))

Calls

4 calls:

4.0ms	(+.f64 x y)
2.0ms	(/.f64 (+.f64 x y) #s(literal 2 binary64))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes8.0ms (0.3%)

Memory

-6.4MiB live, 31.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))

Calls

4 calls:

3.0ms	y
2.0ms	(/.f64 (+.f64 x y) #s(literal 2 binary64))
2.0ms	(+.f64 x y)
2.0ms	x

Results

Accuracy	Segments	Branch
88.4%	2	`x`
81.3%	2	`y`
97.9%	2	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`
97.9%	2	`(+.f64 x y)`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes5.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Outputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Calls

4 calls:

1.0ms	(/.f64 (+.f64 x y) #s(literal 2 binary64))
1.0ms	(+.f64 x y)
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
49.1%	1	`y`
49.1%	1	`x`
49.1%	1	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`
49.1%	1	`(+.f64 x y)`

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.986023741113662e-184	1.5331322137029726e-297

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify128.0ms (4.6%)

Memory

-34.7MiB live, 50.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	20	38

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (+.f64 y x) #s(literal 1/2 binary64))

(if (<=.f64 (+.f64 x y) #s(literal -4784065733063811/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)))

#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Outputs
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(if (<=.f64 (+.f64 x y) #s(literal -4784065733063811/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) #s(approx (/ (+ x y) 2) (.f64 #s(literal 1/2 binary64) x)) #s(approx (/ (+ x y) 2) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

soundness579.0ms (20.9%)

Memory

6.8MiB live, 251.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	31	8
2	182	8
3	1731	8
0	8175	8
0	38	48
1	115	48
2	264	48
3	783	48
4	1826	48
5	2659	48
6	3332	48
7	3633	48
8	3797	48
9	3833	48
10	6109	48
0	8059	48

Stop Event

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

Compiler

Compiled 57 to 35 computations (38.6% saved)

preprocess29.0ms (1%)

Memory: -2.1MiB live, 34.1MiB allocated
Remove: (sort x y)
Compiler: Compiled 106 to 60 computations (43.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample697.0ms (25.2%)

explain97.0ms (3.5%)

preprocess23.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize13.0ms (0.5%)

series30.0ms (1.1%)

simplify179.0ms (6.5%)

rewrite159.0ms (5.7%)

eval108.0ms (3.9%)

prune7.0ms (0.3%)

simplify4.0ms (0.1%)

localize65.0ms (2.3%)

series5.0ms (0.2%)

simplify256.0ms (9.3%)

rewrite302.0ms (10.9%)

eval51.0ms (1.9%)

prune8.0ms (0.3%)

regimes11.0ms (0.4%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

bsearch0.0ms (0%)

simplify128.0ms (4.6%)

soundness579.0ms (20.9%)

preprocess29.0ms (1%)

end0.0ms (0%)

Profiling