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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample912.0ms (37.5%)

Memory

-18.1MiB live, 1 030.2MiB allocated; 341ms collecting garbage

Samples

638.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-div: 166.0ms (50.2% of total)

ival-add: 148.0ms (44.8% of total)

ival-true: 5.0ms (1.5% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain51.0ms (2.1%)

Memory

13.4MiB live, 157.7MiB allocated; 11ms collecting garbage

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

26.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 6.0ms (56.6% of total)

ival-div: 4.0ms (37.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.6%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	33	29
2	60	29
3	74	29
4	85	29
5	90	29
0	5	5
0	7	5
1	13	5
2	16	5
0	16	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune2.0ms (0.1%)

Memory

-45.4MiB live, 0.7MiB allocated; 3ms collecting garbage

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)

simplify4.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

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	13	11
2	16	11
0	16	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)

localize15.0ms (0.6%)

Memory

28.7MiB live, 28.7MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 (+.f64 x y) #s(literal 2 binary64))
accuracy	0.0	(+.f64 x y)

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (53.2% of total)

ival-add: 1.0ms (26.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

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
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))
0.0ms	x	@	0	((/ (+ x y) 2) (+ x y))

simplify147.0ms (6.1%)

Memory

-2.5MiB live, 92.9MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	48
1	113	48
2	250	48
3	687	48
4	1859	48
5	3238	48
6	4686	48
7	5767	48
8	7039	48
0	8459	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)

rewrite290.0ms (11.9%)

Memory

-12.4MiB live, 303.2MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	30	8
2	173	8
3	1648	8
0	8993	8

Stop Event

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

Counts

2 → 401

Calls

Call 1

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

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

eval73.0ms (3%)

Memory: -11.6MiB live, 141.9MiB allocated; 32ms collecting garbage
Compiler: Compiled 12 704 to 1 281 computations (89.9% saved)

prune7.0ms (0.3%)

Memory

24.4MiB live, 24.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	402	3	405
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	403	3	406

Accuracy

100.0%

Counts

406 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
▶	51.3%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
▶	50.0%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify8.0ms (0.3%)

Memory

19.2MiB live, 19.3MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 7 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	#s(approx (/ (+ x y) 2) (*.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	13	50
0	17	50
1	26	50
2	31	50
3	43	50
4	60	50
5	84	50
6	96	50
7	126	50
8	153	50
9	174	50
10	194	50
0	194	50

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

localize39.0ms (1.6%)

Memory

-20.3MiB live, 80.5MiB allocated; 22ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	31.144228413268202	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	31.973150933299998	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Samples

25.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (45.9% of total)

ival-add: 3.0ms (27.6% of total)

ival-div: 2.0ms (18.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

7 → 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)
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.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) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
1.0ms	x	@	-inf	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
0.0ms	x	@	0	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
0.0ms	y	@	inf	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
0.0ms	y	@	-inf	((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))

simplify130.0ms (5.4%)

Memory

21.8MiB live, 153.1MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	48
1	113	48
2	250	48
3	689	48
4	1853	48
5	3223	48
6	4673	48
7	5771	48
8	7047	48
0	8466	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 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
y
(+ x y)
(+.f64 y x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite235.0ms (9.6%)

Memory

-46.9MiB live, 249.5MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
0	17	43
1	52	43
2	285	43
3	2942	43
0	9183	43

Stop Event

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

Counts

7 → 234

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)
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.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))
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (-.f64 y x)) (-.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 y x) #s(literal 1/2 binary64)) (-.f64 y x)) (.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 (.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) x) (-.f64 (.f64 (-.f64 y x) x) (.f64 y y)) (pow.f64 y #s(literal 4 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 y x) y (.f64 x x))))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (-.f64 y x)))) (-.f64 y x))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (-.f64 y x))) (-.f64 y x))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (-.f64 y x)) (-.f64 y x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))))
(-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/2 binary64) x))
(-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (-.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 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) x) (-.f64 (.f64 (-.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (-.f64 y x))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x)) (-.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)))) (+.f64 y x))
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(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 y) y) y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (-.f64 y x)))
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (.f64 x (/.f64 x (-.f64 y x))) (/.f64 (.f64 (neg.f64 (neg.f64 y)) y) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(+.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 y x)
(+.f64 x y)

eval47.0ms (1.9%)

Memory: 13.4MiB live, 59.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 8 042 to 1 008 computations (87.5% saved)

prune5.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	237	3	240

Accuracy

100.0%

Counts

240 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓	51.3%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
✓	50.0%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 63 to 41 computations (34.9% saved)

regimes28.0ms (1.2%)

Memory

-14.3MiB live, 30.2MiB allocated; 4ms collecting garbage

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

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

Calls

4 calls:

22.0ms	y
2.0ms	(/.f64 (+.f64 x y) #s(literal 2 binary64))
2.0ms	x
2.0ms	(+.f64 x y)

Results

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

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes26.0ms (1.1%)

Memory

-40.0MiB live, 23.3MiB allocated; 10ms collecting garbage

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:

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
98.0%	2	`(+.f64 x y)`
98.0%	2	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`
81.9%	2	`x`
86.3%	2	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes30.0ms (1.2%)

Memory

5.9MiB live, 53.0MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	(/.f64 (+.f64 x y) #s(literal 2 binary64))
12.0ms	x
1.0ms	(+.f64 x y)
1.0ms	y

Results

Accuracy	Segments	Branch
50.0%	1	`x`
50.0%	1	`y`
50.0%	1	`(+.f64 x y)`
50.0%	1	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.237878979771142e-205	1.290969981373786e-257

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify57.0ms (2.3%)

Memory

7.6MiB live, 54.6MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	24	46
2	27	46
3	30	46
4	37	46
5	59	46
6	215	46
7	1857	46
8	3506	46

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1129605583483287/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912 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

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

(if (<=.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1129605583483287/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912 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))

derivations260.0ms (10.7%)

Memory

12.7MiB live, 143.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	48
1	113	48
2	250	48
3	687	48
4	1859	48
5	3238	48
6	4686	48
7	5767	48
8	7039	48
0	8459	48

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 46 to 19 computations (58.7% saved)

preprocess43.0ms (1.8%)

Memory: 13.1MiB live, 54.1MiB allocated; 9ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 124 to 66 computations (46.8% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	13	50
0	17	50
1	26	50
2	31	50
3	43	50
4	60	50
5	84	50
6	96	50
7	126	50
8	153	50
9	174	50
10	194	50
0	194	50

Iter	Nodes	Cost
0	13	50
0	17	50
1	26	50
2	31	50
3	43	50
4	60	50
5	84	50
6	96	50
7	126	50
8	153	50
9	174	50
10	194	50
0	194	50

start0.0ms (0%)

analyze0.0ms (0%)

sample912.0ms (37.5%)

explain51.0ms (2.1%)

preprocess15.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0.1%)

simplify4.0ms (0.2%)

localize15.0ms (0.6%)

series2.0ms (0.1%)

simplify147.0ms (6.1%)

rewrite290.0ms (11.9%)

eval73.0ms (3%)

prune7.0ms (0.3%)

simplify8.0ms (0.3%)

localize39.0ms (1.6%)

series3.0ms (0.1%)

simplify130.0ms (5.4%)

rewrite235.0ms (9.6%)

eval47.0ms (1.9%)

prune5.0ms (0.2%)

regimes28.0ms (1.2%)

regimes26.0ms (1.1%)

regimes30.0ms (1.2%)

bsearch1.0ms (0%)

simplify57.0ms (2.3%)

derivations260.0ms (10.7%)

preprocess43.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	50
0	17	50
1	26	50
2	31	50
3	43	50
4	60	50
5	84	50
6	96	50
7	126	50
8	153	50
9	174	50
10	194	50
0	194	50