Metrics for Numeric.Interval.Internal:bisect from intervals-0.7.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 9 to 8 computations (11.1% saved)

sample756.0ms (15.4%)

Memory

7.3MiB live, 882.9MiB allocated

Samples

531.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-sub: 80.0ms (37.8% of total)

ival-div: 64.0ms (30.2% of total)

ival-add: 54.0ms (25.5% of total)

ival-true: 6.0ms (2.8% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain75.0ms (1.5%)

Memory

9.8MiB live, 83.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

40.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 5.0ms (38.2% of total)

ival-div: 4.0ms (30.6% of total)

ival-sub: 3.0ms (22.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess625.0ms (12.7%)

Memory

-178.7MiB live, 262.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	44	35
2	137	35
3	380	29
4	644	25
5	942	25
6	2325	25
7	3100	25
8	3417	25
9	3516	25
10	3581	25
11	3584	25
12	3600	25
13	3609	25
14	3609	25
15	3609	25
16	3609	25
0	6	7
0	9	7
1	15	7
2	26	7
3	46	7
4	87	7
5	150	7
6	326	7
7	532	6
8	1267	5
9	1983	5
10	2394	5
11	2412	5
12	2426	5
13	2426	5
14	3366	5
15	3909	5
16	4065	5
17	4124	5
18	4532	5
19	6372	5
20	7036	5
21	7968	5
0	8322	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify244.0ms (5%)

Memory

4.0MiB live, 205.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	192	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (-.f64 y x) #s(literal 2 binary64))

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	46	18
4	87	18
5	150	18
6	326	18
7	532	17
8	1267	16
9	1983	16
10	2394	16
11	2412	16
12	2426	16
13	2426	16
14	3366	16
15	3909	16
16	4065	16
17	4124	16
18	4532	16
19	6372	16
20	7036	16
21	7968	16
0	8322	16

Stop Event

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

Calls

Call 1

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

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

localize18.0ms (0.4%)

Memory

-4.2MiB live, 33.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (-.f64 y x) #s(literal 2 binary64))
accuracy	0	(-.f64 y x)
accuracy	0.0078125	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (40.8% of total)

ival-div: 2.0ms (40.8% of total)

ival-add: 1.0ms (20.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

3 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

simplify141.0ms (2.9%)

Memory

-0.5MiB live, 119.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	98
1	177	98
2	500	88
3	1527	88
4	5275	88
5	7556	88
0	8243	88

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

rewrite177.0ms (3.6%)

Memory

17.8MiB live, 257.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	48	15
2	400	15
3	5082	15
0	8211	14

Stop Event

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

Counts

3 → 344

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 1/2 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 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 x) x (.f64 y y))) (-.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 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 #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 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 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (+.f64 x y)))
(.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 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal -1 binary64)) (pow.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 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #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 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 #s(literal 1/2 binary64) (-.f64 y x))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) y (.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(.f64 (+.f64 x y) (/.f64 (-.f64 y x) (.f64 (+.f64 x y) #s(literal 2 binary64))))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.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 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 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.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 x y) x (.f64 y y))))
(*.f64 (-.f64 x y) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 x y) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 #s(literal 1/2 binary64) (-.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (+.f64 x y)))) (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 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)))) #s(literal 1 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 #s(literal 1/2 binary64) (-.f64 y x))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (+.f64 x y))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y))))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64))) (+.f64 x y))
(/.f64 (.f64 #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))))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
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(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (-.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 1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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)) (fma.f64 (neg.f64 x) x (.f64 y y)))
(.f64 (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64))))
(.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) (fma.f64 x x (.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 x y) x (.f64 y y))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))) (+.f64 x y))
(/.f64 (.f64 #s(literal 1 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 (.f64 y (/.f64 y (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 x y))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (+.f64 x y)) (*.f64 x (/.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (neg.f64 (neg.f64 (-.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 (neg.f64 (neg.f64 (-.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 (.f64 (.f64 y y) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 x x))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 x y) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 (neg.f64 x) y))))
(/.f64 (-.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 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(neg.f64 (-.f64 x y))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 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)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 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))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 x #s(literal -1 binary64) y)
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 y (/.f64 y (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (.f64 y (/.f64 y (+.f64 x y))) (.f64 x (/.f64 x (+.f64 x y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)))
(+.f64 (.f64 y #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (.f64 y (/.f64 y (+.f64 x y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval67.0ms (1.4%)

Memory: -8.8MiB live, 66.0MiB allocated
Compiler: Compiled 6 886 to 1 109 computations (83.9% saved)

prune4.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	349	2	351
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	2	352

Accuracy

100.0%

Counts

352 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64)))
▶	48.8%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify303.0ms (6.1%)

Memory

-31.8MiB live, 101.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	15	40
1	24	40
2	41	40
3	61	40
4	102	40
5	171	40
6	373	40
7	612	36
8	1576	36
9	2239	36
10	2616	36
11	2632	36
12	2644	36
13	2644	36
14	3596	36
15	4132	36
16	4288	36
17	4347	36
18	4755	36
19	6597	36
20	7261	36
0	8027	36

Stop Event

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

Calls

Call 1

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

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

localize30.0ms (0.6%)

Memory

-11.5MiB live, 26.8MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
accuracy	0	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	32.75631610224458	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Samples

16.0ms

256×

valid

Compiler

Compiled 72 to 24 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (33.4% of total)

ival-sub: 2.0ms (22.3% of total)

ival-div: 2.0ms (22.3% of total)

ival-add: 2.0ms (22.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

5 → 18

Calls

Call 1

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

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

simplify765.0ms (15.5%)

Memory

17.3MiB live, 131.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	66
1	153	66
2	370	66
3	1173	66
4	4204	66
5	6827	66
0	8060	66

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 16

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

rewrite174.0ms (3.5%)

Memory

1.7MiB live, 195.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
0	15	35
1	64	35
2	510	35
3	6630	35
0	8188	33

Stop Event

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

Counts

5 → 139

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 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 (+.f64 y x) x (.f64 y y)))
(.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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 y #s(literal 3 binary64)) (pow.f64 x #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 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (pow.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 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 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 1/2 binary64)))
(.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 x y) x (.f64 y y))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 y y) #s(literal 1/4 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 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 y))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 y))) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) y)) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 y))) #s(literal -4 binary64))
(/.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (fma.f64 (neg.f64 y) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (neg.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 2 binary64) y) (neg.f64 x))) (.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x) (.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) y) x)) (.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))
(/.f64 (fma.f64 y #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal -4 binary64))
(/.f64 (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 1/2 binary64)) (-.f64 y x))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (-.f64 x y))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))
(/.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y x))) (.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) 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 #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 (fma.f64 (neg.f64 x) x (.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(.f64 (/.f64 (+.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 (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) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 y x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (*.f64 y y)))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (-.f64 y x) (-.f64 x y)))
(.f64 (/.f64 (+.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (.f64 y y)))
(.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 (fma.f64 (-.f64 x y) x (.f64 y y)))))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (-.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.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 (fma.f64 (neg.f64 x) x (.f64 y y)) (fma.f64 (neg.f64 x) x (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y)))) (.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (+.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 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 x y) (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 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 y x) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.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 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 y x))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (.f64 y y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x #s(literal 1 binary64) y)
(-.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 y (neg.f64 x))
(+.f64 (-.f64 y #s(literal 0 binary64)) x)
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)

eval18.0ms (0.4%)

Memory: 4.9MiB live, 41.2MiB allocated
Compiler: Compiled 3 435 to 569 computations (83.4% saved)

prune3.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	142	3	145

Accuracy

100.0%

Counts

145 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

▶

53.1%

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

✓

48.8%

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

Compiler

Compiled 35 to 28 computations (20% saved)

simplify191.0ms (3.9%)

Memory

2.7MiB live, 161.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	17	16
2	28	16
3	48	16
4	89	16
5	156	16
6	333	16
7	561	15
8	1319	14
9	2041	14
10	2453	14
11	2471	14
12	2485	14
13	2485	14
14	3454	14
15	3997	14
16	4153	14
17	4211	14
18	4619	14
19	6462	14
20	7126	14
0	8054	14

Stop Event

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

Calls

Call 1

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

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

localize185.0ms (3.8%)

Memory

-38.1MiB live, 61.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	29.984639684199426	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))

Samples

180.0ms

256×

valid

Compiler

Compiled 30 to 19 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-div: 140.0ms (96.6% of total)

ival-sub: 1.0ms (0.7% of total)

ival-add: 1.0ms (0.7% of total)

ival-mult: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 9

Calls

Call 1

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

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

Calls

6 calls:

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

simplify143.0ms (2.9%)

Memory

2.2MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	39
1	85	39
2	224	39
3	622	39
4	2555	39
5	6547	39
0	8168	39

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

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

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

rewrite141.0ms (2.9%)

Memory

31.3MiB live, 149.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
0	10	14
1	49	14
2	401	14
3	5087	14
0	8217	13

Stop Event

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

Counts

2 → 15

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: -29.1MiB live, 6.0MiB allocated
Compiler: Compiled 215 to 53 computations (75.3% saved)

prune2.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	17	3	20

Accuracy

100.0%

Counts

20 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

53.1%

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

✓

48.8%

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

Compiler

Compiled 77 to 46 computations (40.3% saved)

regimes7.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.2%	2	`x`
86.5%	2	`y`
98.6%	2	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

-25.0MiB live, 12.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.8%	1	`x`
48.8%	1	`y`
48.8%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.7357305476870794e-178	2.953293717738652e-250

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify24.0ms (0.5%)

Memory

20.7MiB live, 58.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	56
1	27	56
2	32	56
3	34	56
4	35	56

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -912488123524439/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)))

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

Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -912488123524439/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) #s(approx (+ x (/ (- y x) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- y x) 2)) (.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (+.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) #s(literal -912488123524439/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) #s(approx (+ x (/ (- y x) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- y x) 2)) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

soundness747.0ms (15.2%)

Memory

-34.2MiB live, 253.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	66
1	153	66
2	370	66
3	1173	66
4	4204	66
5	6827	66
0	8060	66
0	57	98
1	177	98
2	500	88
3	1527	88
4	5275	88
5	7556	88
0	8243	88

Stop Event

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

Compiler

Compiled 68 to 39 computations (42.6% saved)

preprocess58.0ms (1.2%)

Memory: 17.4MiB live, 54.3MiB allocated
Remove: (sort x y)
Compiler: Compiled 188 to 104 computations (44.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample756.0ms (15.4%)

explain75.0ms (1.5%)

preprocess625.0ms (12.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify244.0ms (5%)

localize18.0ms (0.4%)

series3.0ms (0.1%)

simplify141.0ms (2.9%)

rewrite177.0ms (3.6%)

eval67.0ms (1.4%)

prune4.0ms (0.1%)

simplify303.0ms (6.1%)

localize30.0ms (0.6%)

series4.0ms (0.1%)

simplify765.0ms (15.5%)

rewrite174.0ms (3.5%)

eval18.0ms (0.4%)

prune3.0ms (0.1%)

simplify191.0ms (3.9%)

localize185.0ms (3.8%)

series2.0ms (0%)

simplify143.0ms (2.9%)

rewrite141.0ms (2.9%)

eval6.0ms (0.1%)

prune2.0ms (0%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

simplify24.0ms (0.5%)

soundness747.0ms (15.2%)

preprocess58.0ms (1.2%)

end0.0ms (0%)

Profiling