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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.0s (26.4%)

Memory

62.5MiB live, 1 178.6MiB allocated

Samples

644.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-div: 130.0ms (39.9% of total)

ival-add: 120.0ms (36.9% of total)

ival-sub: 61.0ms (18.7% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

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

Bogosity

explain85.0ms (2.2%)

Memory

4.4MiB live, 105.2MiB 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

22.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-div: 4.0ms (41% of total)

ival-sub: 3.0ms (30.8% of total)

ival-add: 2.0ms (20.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess215.0ms (5.5%)

Memory

-7.5MiB live, 39.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	33	41
2	61	41
3	74	41
4	87	41
5	101	41
6	122	41
7	135	41
8	136	41
0	6	7
0	9	7
1	15	7
2	21	7
3	22	7
4	24	7
5	25	7
6	27	7
0	27	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify194.0ms (5%)

Memory

-38.1MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	21	18
3	22	18
4	24	18
5	25	18
6	27	18
0	27	18

Stop Event

1×	iter limit
1×	saturated
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 (-.f64 y x) #s(literal 2 binary64)) x)
x
(/.f64 (-.f64 y x) #s(literal 2 binary64))
(-.f64 y x)
y
#s(literal 2 binary64)

localize17.0ms (0.4%)

Memory

41.0MiB live, 41.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (-.f64 y x) #s(literal 2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.024695031620653757	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (42.1% of total)

ival-sub: 1.0ms (21% of total)

ival-add: 1.0ms (21% 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

-39.0MiB live, 7.6MiB allocated

Counts

3 → 23

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x))
1.0ms	x	@	inf	((+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x))
1.0ms	y	@	inf	((+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x))
0.0ms	x	@	-inf	((+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x))
0.0ms	x	@	0	((+ x (/ (- y x) 2)) (/ (- y x) 2) (- y x))

simplify290.0ms (7.4%)

Memory

9.5MiB live, 411.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	104
1	183	88
2	562	88
3	1971	88
4	7220	88
0	8656	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 (* 1/2 (/ y x))))
(* -1/2 x)
(* x (- (* 1/2 (/ y x)) 1/2))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(* -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)) (/ x y))))
(* y (+ 1/2 (* -1/2 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* 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 y x) #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 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -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 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(*.f64 (-.f64 y x) #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 y x) #s(literal 1/2 binary64))
(- y x)
(-.f64 y x)
(* 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 (* -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 (- (/ x y) 1)))
(-.f64 y x)

rewrite261.0ms (6.7%)

Memory

-8.3MiB live, 317.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	42	15
2	300	15
3	4147	15
0	9144	15

Stop Event

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

Counts

3 → 155

Calls

Call 1

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

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

eval27.0ms (0.7%)

Memory: 15.9MiB live, 57.8MiB allocated
Compiler: Compiled 4 560 to 641 computations (85.9% saved)

prune3.0ms (0.1%)

Memory

10.2MiB live, 10.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	3	163

Accuracy

100.0%

Counts

163 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
▶	51.0%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	50.2%	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Status

Accuracy

Program

▶

100.0%

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

▶

51.0%

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

▶

50.2%

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

Compiler

Compiled 35 to 28 computations (20% saved)

simplify8.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	18	56
1	28	56
2	36	56
3	49	56
4	68	56
5	93	56
6	107	56
7	135	56
8	161	56
9	181	56
10	201	56
0	201	56

Stop Event

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

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

localize94.0ms (2.4%)

Memory

-31.4MiB live, 123.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	31.379833331125344	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	31.858677242190446	#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

Samples

87.0ms

256×

valid

Compiler

Compiled 44 to 13 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-add: 46.0ms (84.8% of total)

ival-mult: 4.0ms (7.4% of total)

ival-sub: 2.0ms (3.7% of total)

ival-div: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

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

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

simplify182.0ms (4.7%)

Memory

-10.7MiB live, 321.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	72
1	154	72
2	391	72
3	1381	72
4	5391	72
0	8575	72

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 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 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))
(* 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)

rewrite211.0ms (5.4%)

Memory

15.2MiB live, 236.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	18	49
1	59	49
2	371	49
3	5260	49
0	8227	49

Stop Event

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

Counts

7 → 156

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

eval20.0ms (0.5%)

Memory: -4.0MiB live, 40.8MiB allocated
Compiler: Compiled 5 113 to 667 computations (87% saved)

prune4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	160	3	163

Accuracy

100.0%

Counts

163 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

51.0%

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

✓

50.2%

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

Compiler

Compiled 77 to 46 computations (40.3% saved)

regimes6.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB 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 y x) #s(literal 1/2 binary64)))
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))

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

Calls

3 calls:

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

11.1MiB live, 11.1MiB allocated

Counts

2 → 3

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) y))
#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:

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

Results

Accuracy	Segments	Branch
73.5%	3	`x`
76.5%	3	`y`
59.8%	3	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes36.0ms (0.9%)

Memory

-41.1MiB live, 25.3MiB 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:

18.0ms	(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
17.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
50.2%	1	`(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))`
50.2%	1	`x`
50.2%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch37.0ms (0.9%)

Memory

-14.1MiB live, 31.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.8518386628219217e-19	4.762309029791893e-7
10.0ms	-2.034776464623388e+42	-1.6796146329225172e+39

Samples

23.0ms

288×

valid

Compiler

Compiled 406 to 371 computations (8.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 13.0ms (78.1% of total)

ival-div: 2.0ms (12% of total)

ival-add: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

simplify53.0ms (1.4%)

Memory

12.7MiB live, 56.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	55
1	29	55
2	35	55
3	39	55
4	48	55
5	71	55
6	229	55
7	1898	55
8	3565	55

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -1699999999999999942840301067273997647872 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 3961408125713217/39614081257132168796771975168 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 y x) #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal -1699999999999999942840301067273997647872 binary64)) #s(approx (+ x (/ (- y x) 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 3961408125713217/39614081257132168796771975168 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 (or (<=.f64 y #s(literal -1699999999999999942840301067273997647872 binary64)) (not (<=.f64 y #s(literal 3961408125713217/39614081257132168796771975168 binary64)))) #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)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

soundness1.0s (26.7%)

Memory

4.3MiB live, 237.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	104
1	183	88
2	562	88
3	1971	88
4	7220	88
0	8656	88

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 64 to 35 computations (45.3% saved)

preprocess69.0ms (1.8%)

Memory: 11.9MiB live, 115.0MiB allocated
Compiler: Compiled 134 to 64 computations (52.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	41
1	33	41
2	61	41
3	74	41
4	87	41
5	101	41
6	122	41
7	135	41
8	136	41
0	6	7
0	9	7
1	15	7
2	21	7
3	22	7
4	24	7
5	25	7
6	27	7
0	27	7

Iter	Nodes	Cost
0	14	56
0	18	56
1	28	56
2	36	56
3	49	56
4	68	56
5	93	56
6	107	56
7	135	56
8	161	56
9	181	56
10	201	56
0	201	56

Iter	Nodes	Cost
0	16	41
1	33	41
2	61	41
3	74	41
4	87	41
5	101	41
6	122	41
7	135	41
8	136	41
0	6	7
0	9	7
1	15	7
2	21	7
3	22	7
4	24	7
5	25	7
6	27	7
0	27	7

Iter	Nodes	Cost
0	14	56
0	18	56
1	28	56
2	36	56
3	49	56
4	68	56
5	93	56
6	107	56
7	135	56
8	161	56
9	181	56
10	201	56
0	201	56

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (26.4%)

explain85.0ms (2.2%)

preprocess215.0ms (5.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify194.0ms (5%)

localize17.0ms (0.4%)

series4.0ms (0.1%)

simplify290.0ms (7.4%)

rewrite261.0ms (6.7%)

eval27.0ms (0.7%)

prune3.0ms (0.1%)

simplify8.0ms (0.2%)

localize94.0ms (2.4%)

series5.0ms (0.1%)

simplify182.0ms (4.7%)

rewrite211.0ms (5.4%)

eval20.0ms (0.5%)

prune4.0ms (0.1%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes36.0ms (0.9%)

bsearch37.0ms (0.9%)

simplify53.0ms (1.4%)

soundness1.0s (26.7%)

preprocess69.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	41
1	33	41
2	61	41
3	74	41
4	87	41
5	101	41
6	122	41
7	135	41
8	136	41
0	6	7
0	9	7
1	15	7
2	21	7
3	22	7
4	24	7
5	25	7
6	27	7
0	27	7

Iter	Nodes	Cost
0	14	56
0	18	56
1	28	56
2	36	56
3	49	56
4	68	56
5	93	56
6	107	56
7	135	56
8	161	56
9	181	56
10	201	56
0	201	56