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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

sample734.0ms (32.3%)

Memory

3.3MiB live, 1 032.7MiB allocated; 204ms collecting garbage

Samples

460.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-add: 115.0ms (48.8% of total)

ival-div: 103.0ms (43.8% of total)

ival-true: 6.0ms (2.5% of total)

exact: 6.0ms (2.5% of total)

adjust: 3.0ms (1.3% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain56.0ms (2.5%)

Memory

0.9MiB live, 164.2MiB allocated; 17ms 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

32.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 10.0ms (65.6% of total)

ival-add: 4.0ms (26.2% 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)

preprocess32.0ms (1.4%)

Memory

-15.1MiB live, 30.6MiB allocated; 4ms 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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms 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)

simplify0.0ms (0%)

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

series3.0ms (0.1%)

Memory

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

Counts

5 → 14

Calls

Call 1

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

Outputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
x
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y 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) x y 2)
1.0ms	x	@	-inf	((/ (+ x y) 2) (+ x y) x y 2)
1.0ms	x	@	inf	((/ (+ x y) 2) (+ x y) x y 2)
1.0ms	y	@	-inf	((/ (+ x y) 2) (+ x y) x y 2)
0.0ms	x	@	0	((/ (+ x y) 2) (+ x y) x y 2)

simplify133.0ms (5.9%)

Memory

10.4MiB live, 149.1MiB allocated; 26ms 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)
x
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y 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)
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 (+ 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)

rewrite239.0ms (10.5%)

Memory

16.4MiB live, 287.1MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	30	11
2	173	11
3	1648	11
0	8993	11

Stop Event

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

Counts

5 → 432

Calls

Call 1

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

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

eval79.0ms (3.5%)

Memory: -18.0MiB live, 173.3MiB allocated; 27ms collecting garbage
Compiler: Compiled 12 967 to 1 378 computations (89.4% saved)

prune7.0ms (0.3%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	433	3	436
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	434	3	437

Accuracy

100.0%

Counts

437 → 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)))
▶	54.1%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
▶	47.3%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify0.0ms (0%)

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

series4.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

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

simplify172.0ms (7.5%)

Memory

-16.6MiB live, 135.8MiB allocated; 44ms 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)
x
y
(+ x y)
(* x (+ 1/2 (* 1/2 (/ y 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)
x
y
(+ x y)
(+.f64 y x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y 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)

rewrite242.0ms (10.6%)

Memory

3.1MiB live, 236.7MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
0	17	46
1	52	46
2	285	46
3	2942	46
0	9183	46

Stop Event

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

Counts

10 → 265

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)
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(literal 1/2 binary64)
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
x
#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 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(pow.f64 (neg.f64 y) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1 binary64))
(sqrt.f64 (*.f64 y y))
(fabs.f64 (neg.f64 (neg.f64 y)))
(fabs.f64 (neg.f64 y))
(fabs.f64 y)
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (log.f64 y))
(+.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y)))
y
#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)

eval92.0ms (4%)

Memory: -23.0MiB live, 83.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 8 887 to 1 189 computations (86.6% saved)

prune6.0ms (0.3%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	300	0	300
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	300	3	303

Accuracy

100.0%

Counts

303 → 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)))
✓	54.1%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
✓	47.3%	#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 63 to 41 computations (34.9% saved)

regimes8.0ms (0.4%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms 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:

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

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)

regimes40.0ms (1.7%)

Memory

-22.8MiB live, 24.9MiB allocated; 1ms 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:

35.0ms	y
1.0ms	(/.f64 (+.f64 x y) #s(literal 2 binary64))
1.0ms	x
1.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
98.3%	2	`(+.f64 x y)`
98.3%	2	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`
82.1%	2	`x`
82.5%	2	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes5.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
47.3%	1	`x`
47.3%	1	`y`
47.3%	1	`(+.f64 x y)`
47.3%	1	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.8344854681913554e-294	4.42726857080221e-227

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify87.0ms (3.8%)

Memory

-11.0MiB live, 80.9MiB allocated; 18ms 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 -5752618031559411/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 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 -5752618031559411/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 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))

derivations291.0ms (12.8%)

Memory

-34.0MiB live, 177.2MiB allocated; 81ms 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)

preprocess44.0ms (1.9%)

Memory: -11.9MiB live, 33.4MiB allocated; 15ms 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

start0.0ms (0%)

analyze0.0ms (0%)

sample734.0ms (32.3%)

explain56.0ms (2.5%)

preprocess32.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series3.0ms (0.1%)

simplify133.0ms (5.9%)

rewrite239.0ms (10.5%)

eval79.0ms (3.5%)

prune7.0ms (0.3%)

simplify0.0ms (0%)

series4.0ms (0.2%)

simplify172.0ms (7.5%)

rewrite242.0ms (10.6%)

eval92.0ms (4%)

prune6.0ms (0.3%)

regimes8.0ms (0.4%)

regimes40.0ms (1.7%)

regimes5.0ms (0.2%)

bsearch1.0ms (0%)

simplify87.0ms (3.8%)

derivations291.0ms (12.8%)

preprocess44.0ms (1.9%)

end0.0ms (0%)

Profiling