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

start0.0ms (0%)

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

analyze55.0ms (1.3%)

Memory

-11.7MiB live, 51.2MiB allocated; 30ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample978.0ms (22.2%)

Memory

8.3MiB live, 671.8MiB allocated; 174ms collecting garbage

Samples

614.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 374.0ms

ival-sub: 151.0ms (40.4% of total)

ival-div: 118.0ms (31.6% of total)

ival-add: 92.0ms (24.6% of total)

ival-true: 6.0ms (1.6% of total)

adjust: 3.0ms (0.8% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain88.0ms (2%)

Memory

-28.1MiB live, 72.6MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (-.f64 x y) (+.f64 x y))`
-	-	`y`
-	-	`(-.f64 x y)`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

61.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sub: 38.0ms (84% of total)

ival-div: 3.0ms (6.6% of total)

ival-add: 3.0ms (6.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess15.0ms (0.3%)

Memory

32.0MiB live, 32.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	35	45
2	51	43
3	67	43
4	80	43
5	99	43
6	109	43
7	113	43
8	117	43
0	5	7
0	8	7
1	12	7
0	12	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (-.f64 x y) (+.f64 y x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (+.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	12	15
0	12	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 y x)

localize46.0ms (1%)

Memory

-13.1MiB live, 33.3MiB allocated; 3ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x y)
accuracy	0.041347509768442016	(/.f64 (-.f64 x y) (+.f64 x y))

Samples

41.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sub: 32.0ms (92.3% of total)

ival-div: 2.0ms (5.8% of total)

ival-add: 1.0ms (2.9% of total)

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

adjust: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

3 → 33

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
(+.f64 x y)

Outputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -1 y)
(- x y)
y
(+ x y)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ x (* -1 y))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

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

simplify200.0ms (4.5%)

Memory

-16.4MiB live, 213.6MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	402
1	446	385
2	1448	315
3	6498	315
0	8389	287

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

Inputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -1 y)
(- x y)
y
(+ x y)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ x (* -1 y))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite117.0ms (2.6%)

Memory

7.0MiB live, 155.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	32	13
2	225	13
0	2970	13

Stop Event

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

Counts

3 → 306

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
(+.f64 x y)

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

eval35.0ms (0.8%)

Memory: 13.9MiB live, 104.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 9 202 to 947 computations (89.7% saved)

prune69.0ms (1.6%)

Memory

-16.1MiB live, 79.5MiB allocated; 37ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	318	7	325
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	318	8	326

Accuracy

100.0%

Counts

326 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	51.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
▶	99.9%	(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
	99.7%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
▶	50.1%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
	51.5%	#s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)))
▶	48.9%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
▶	49.9%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 165 to 117 computations (29.1% saved)

simplify9.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
cost-diff	0	(+.f64 x y)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
cost-diff	0	(/.f64 y (+.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	4	(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	96
0	31	92
1	43	92
2	52	92
3	71	92
4	102	92
5	134	92
6	151	92
7	164	92
8	171	92
9	179	92
10	187	92
0	187	92

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (1%)

Memory

-9.7MiB live, 85.4MiB allocated; 8ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.09375	(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
accuracy	31.963543776992076	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(neg.f64 y)
accuracy	0.041347509768442016	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
accuracy	31.477342308305538	#s(approx (- x y) (neg.f64 y))
accuracy	32.67455637159235	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
accuracy	32.063491219183604	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
accuracy	0.0	(+.f64 y x)
accuracy	0.015625	(/.f64 y (+.f64 y x))
accuracy	0.015625	(/.f64 x (+.f64 y x))
accuracy	0.053066259768442016	(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))

Samples

34.0ms

256×

valid

Compiler

Compiled 82 to 18 computations (78% saved)

Precisions

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

ival-div: 7.0ms (42.1% of total)

ival-add: 4.0ms (24% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

31.9MiB live, 32.0MiB allocated; 0ms collecting garbage

Counts

13 → 81

Calls

Call 1

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

Outputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(* -1 y)
(- x y)
(* -2 (/ y x))
(/ (+ x (* -2 y)) x)
(/ -2 x)
(+ 1 (* -2 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(/ y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ x (* -1 y))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (- (/ 1 y) (* 2 (/ 1 x))))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x))
2.0ms	x	@	inf	((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x))
2.0ms	x	@	-inf	((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x))
2.0ms	x	@	0	((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x))
1.0ms	y	@	-inf	((- (/ x (+ y x)) (/ y (+ y x))) (/ x (+ y x)) (+ y x) (/ y (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x))

simplify194.0ms (4.4%)

Memory

1.4MiB live, 238.1MiB allocated; 64ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	1224
1	1213	1152
2	3808	978
0	8614	919

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 79

Calls

Call 1

Inputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(* -1 y)
(- x y)
(* -2 (/ y x))
(/ (+ x (* -2 y)) x)
(/ -2 x)
(+ 1 (* -2 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(/ y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ x (* -1 y))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (- (/ 1 y) (* 2 (/ 1 x))))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))

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

rewrite159.0ms (3.6%)

Memory

4.1MiB live, 239.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	86
0	31	82
1	114	82
2	839	82
0	8684	82

Stop Event

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

Counts

13 → 591

Calls

Call 1

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

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

eval192.0ms (4.3%)

Memory: -0.9MiB live, 263.8MiB allocated; 118ms collecting garbage
Compiler: Compiled 20 002 to 1 753 computations (91.2% saved)

prune29.0ms (0.7%)

Memory

-5.0MiB live, 49.1MiB allocated; 22ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	645	1	646
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	646	8	654

Accuracy

100.0%

Counts

654 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	51.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	99.9%	(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
▶	99.7%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
✓	50.1%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
▶	51.5%	#s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	48.9%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	49.9%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 86 to 61 computations (29.1% saved)

simplify6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	66
0	24	62
1	42	62
2	55	60
3	62	60
4	63	60
5	65	60
0	65	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.8%)

Memory

11.4MiB live, 60.5MiB allocated; 2ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (+.f64 y x))
accuracy	0.1484375	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(-.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy	31.021801958811423	#s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))

Samples

26.0ms

256×

valid

Compiler

Compiled 60 to 16 computations (73.3% saved)

Precisions

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

ival-div: 5.0ms (33.3% of total)

ival-mult: 4.0ms (26.7% of total)

ival-sub: 3.0ms (20% of total)

ival-add: 2.0ms (13.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-34.7MiB live, 11.3MiB allocated; 4ms collecting garbage

Counts

9 → 58

Calls

Call 1

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

Outputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* 2 (/ x y))
(/ x y)
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(* -1 y)
(- x y)
y
(+ x y)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(/ (+ (* -1 y) (* 2 x)) y)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(+ x (* -1 y))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ (- x y) (+ x y)) (- (* (/ x y) 2) 1) (* (/ x y) 2) (/ x y) (* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (+ y x))
1.0ms	x	@	-inf	((/ (- x y) (+ x y)) (- (* (/ x y) 2) 1) (* (/ x y) 2) (/ x y) (* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (+ y x))
1.0ms	y	@	-inf	((/ (- x y) (+ x y)) (- (* (/ x y) 2) 1) (* (/ x y) 2) (/ x y) (* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (+ y x))
1.0ms	x	@	0	((/ (- x y) (+ x y)) (- (* (/ x y) 2) 1) (* (/ x y) 2) (/ x y) (* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (+ y x))
1.0ms	y	@	inf	((/ (- x y) (+ x y)) (- (* (/ x y) 2) 1) (* (/ x y) 2) (/ x y) (* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (+ y x))

simplify130.0ms (2.9%)

Memory

39.1MiB live, 218.6MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	708
1	720	673
2	2162	602
0	8349	563

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 56

Calls

Call 1

Inputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* 2 (/ x y))
(/ x y)
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(* -1 y)
(- x y)
y
(+ x y)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(/ (+ (* -1 y) (* 2 x)) y)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(+ x (* -1 y))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite186.0ms (4.2%)

Memory

-1.7MiB live, 229.3MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	59
0	24	55
1	92	55
2	567	53
3	7958	53
0	8077	53

Stop Event

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

Counts

9 → 695

Calls

Call 1

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

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

eval159.0ms (3.6%)

Memory: -5.2MiB live, 143.7MiB allocated; 74ms collecting garbage
Compiler: Compiled 19 263 to 2 172 computations (88.7% saved)

prune13.0ms (0.3%)

Memory

-5.7MiB live, 39.0MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	641	2	643
Fresh	0	0	0
Picked	2	0	2
Done	0	6	6
Total	643	8	651

Accuracy

100.0%

Counts

651 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	51.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	99.9%	(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
▶	99.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
▶	51.5%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
✓	50.1%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
✓	48.9%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	49.9%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 83 to 59 computations (28.9% saved)

simplify9.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	50
0	22	50
1	38	48
2	51	48
3	78	48
4	112	48
5	146	48
6	158	48
7	170	48
8	189	48
9	214	48
10	217	48
0	217	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.9%)

Memory

9.1MiB live, 61.3MiB allocated; 17ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 y x)
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (+.f64 y x))
accuracy	0.1484375	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy	0.0	(/.f64 #s(literal 2 binary64) y)
accuracy	0.09375	(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
accuracy	31.021801958811423	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))

Samples

30.0ms

256×

valid

Compiler

Compiled 46 to 16 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 5.0ms (36.1% of total)

ival-add: 4.0ms (28.9% of total)

ival-mult: 3.0ms (21.7% of total)

ival-sub: 2.0ms (14.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

-33.2MiB live, 10.5MiB allocated; 9ms collecting garbage

Counts

7 → 58

Calls

Call 1

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

Outputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -1 y)
(- x y)
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
y
(+ x y)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(* 2 (/ x y))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(/ (+ (* -1 y) (* 2 x)) y)
(/ 2 y)
(+ x (* -1 y))
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ x y) 1))
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(* y (+ 1 (/ x y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((/ (- x y) (+ x y)) (+ (* (/ 2 y) x) -1) (/ 2 y) (* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x))
1.0ms	y	@	inf	((/ (- x y) (+ x y)) (+ (* (/ 2 y) x) -1) (/ 2 y) (* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x))
1.0ms	y	@	-inf	((/ (- x y) (+ x y)) (+ (* (/ 2 y) x) -1) (/ 2 y) (* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x))
1.0ms	x	@	inf	((/ (- x y) (+ x y)) (+ (* (/ 2 y) x) -1) (/ 2 y) (* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x))
1.0ms	x	@	-inf	((/ (- x y) (+ x y)) (+ (* (/ 2 y) x) -1) (/ 2 y) (* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x))

simplify180.0ms (4.1%)

Memory

8.2MiB live, 283.8MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	708
1	720	673
2	2162	602
0	8349	563

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 56

Calls

Call 1

Inputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -1 y)
(- x y)
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
y
(+ x y)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(* 2 (/ x y))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(/ (+ (* -1 y) (* 2 x)) y)
(/ 2 y)
(+ x (* -1 y))
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ x y) 1))
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(* y (+ 1 (/ x y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite254.0ms (5.8%)

Memory

36.2MiB live, 226.2MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
0	22	43
1	89	41
2	560	41
3	7752	41
0	8412	41

Stop Event

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

Counts

7 → 590

Calls

Call 1

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

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

eval268.0ms (6.1%)

Memory: -57.4MiB live, 210.2MiB allocated; 205ms collecting garbage
Compiler: Compiled 18 826 to 1 965 computations (89.6% saved)

prune14.0ms (0.3%)

Memory

3.0MiB live, 49.8MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	626	0	626
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	626	8	634

Accuracy

100.0%

Counts

634 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	51.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	99.9%	(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
✓	99.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
✓	51.5%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
✓	50.1%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
✓	48.9%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	49.9%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 207 to 97 computations (53.1% saved)

regimes20.0ms (0.5%)

Memory

14.0MiB live, 58.5MiB allocated; 4ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))

Calls

3 calls:

7.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
7.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes14.0ms (0.3%)

Memory

-5.5MiB live, 37.7MiB allocated; 4ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`
80.3%	3	`x`
74.5%	3	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
97.8%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
97.3%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0.1%)

Memory

-49.0MiB live, 8.8MiB allocated; 8ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))

Outputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))

Calls

1 calls:

6.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
97.3%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Outputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
49.9%	1	`y`
49.9%	1	`x`
49.9%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06858737787656252	0.8986930681780677

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06858737787656252	0.8986930681780677

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9986940643785513	0.06858737787656252

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch25.0ms (0.6%)

Memory

4.7MiB live, 50.3MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-0.9986940643785513	0.06858737787656252

Samples

10.0ms

240×

valid

Compiler

Compiled 280 to 250 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

adjust: 0.0ms (0% of total)

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

simplify32.0ms (0.7%)

Memory

-19.7MiB live, 25.6MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	145
1	44	145
2	45	145

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

derivations674.0ms (15.3%)

Memory

9.2MiB live, 581.2MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	708
1	720	673
2	2162	602
0	8349	563
0	369	1224
1	1213	1152
2	3808	978
0	8614	919
0	142	402
1	446	385
2	1448	315
3	6498	315
0	8389	287

Stop Event

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

Compiler

Compiled 145 to 33 computations (77.2% saved)

preprocess57.0ms (1.3%)

Memory: 29.8MiB live, 126.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 326 to 88 computations (73% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	15	45
1	35	45
2	51	43
3	67	43
4	80	43
5	99	43
6	109	43
7	113	43
8	117	43
0	5	7
0	8	7
1	12	7
0	12	7

Iter	Nodes	Cost
0	21	96
0	31	92
1	43	92
2	52	92
3	71	92
4	102	92
5	134	92
6	151	92
7	164	92
8	171	92
9	179	92
10	187	92
0	187	92

Iter	Nodes	Cost
0	15	50
0	22	50
1	38	48
2	51	48
3	78	48
4	112	48
5	146	48
6	158	48
7	170	48
8	189	48
9	214	48
10	217	48
0	217	48

Iter	Nodes	Cost
0	15	45
1	35	45
2	51	43
3	67	43
4	80	43
5	99	43
6	109	43
7	113	43
8	117	43
0	5	7
0	8	7
1	12	7
0	12	7

Iter	Nodes	Cost
0	21	96
0	31	92
1	43	92
2	52	92
3	71	92
4	102	92
5	134	92
6	151	92
7	164	92
8	171	92
9	179	92
10	187	92
0	187	92

Iter	Nodes	Cost
0	15	50
0	22	50
1	38	48
2	51	48
3	78	48
4	112	48
5	146	48
6	158	48
7	170	48
8	189	48
9	214	48
10	217	48
0	217	48

start0.0ms (0%)

analyze55.0ms (1.3%)

sample978.0ms (22.2%)

explain88.0ms (2%)

preprocess15.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize46.0ms (1%)

series4.0ms (0.1%)

simplify200.0ms (4.5%)

rewrite117.0ms (2.6%)

eval35.0ms (0.8%)

prune69.0ms (1.6%)

simplify9.0ms (0.2%)

localize45.0ms (1%)

series11.0ms (0.2%)

simplify194.0ms (4.4%)

rewrite159.0ms (3.6%)

eval192.0ms (4.3%)

prune29.0ms (0.7%)

simplify6.0ms (0.1%)

localize35.0ms (0.8%)

series9.0ms (0.2%)

simplify130.0ms (2.9%)

rewrite186.0ms (4.2%)

eval159.0ms (3.6%)

prune13.0ms (0.3%)

simplify9.0ms (0.2%)

localize40.0ms (0.9%)

series8.0ms (0.2%)

simplify180.0ms (4.1%)

rewrite254.0ms (5.8%)

eval268.0ms (6.1%)

prune14.0ms (0.3%)

regimes20.0ms (0.5%)

regimes14.0ms (0.3%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch25.0ms (0.6%)

simplify32.0ms (0.7%)

derivations674.0ms (15.3%)

preprocess57.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	45
1	35	45
2	51	43
3	67	43
4	80	43
5	99	43
6	109	43
7	113	43
8	117	43
0	5	7
0	8	7
1	12	7
0	12	7

Iter	Nodes	Cost
0	21	96
0	31	92
1	43	92
2	52	92
3	71	92
4	102	92
5	134	92
6	151	92
7	164	92
8	171	92
9	179	92
10	187	92
0	187	92

Iter	Nodes	Cost
0	15	50
0	22	50
1	38	48
2	51	48
3	78	48
4	112	48
5	146	48
6	158	48
7	170	48
8	189	48
9	214	48
10	217	48
0	217	48