Metrics for Linear.Projection:perspective from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample801.0ms (13.3%)

Memory

19.1MiB live, 1 150.1MiB allocated

Samples

498.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-div: 86.0ms (37.5% of total)

ival-sub: 71.0ms (31% of total)

ival-add: 63.0ms (27.5% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 4.0ms (1.7% of total)

Bogosity

explain132.0ms (2.2%)

Memory

-11.6MiB live, 183.1MiB allocated

FPErrors

Click to see full error table

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

89.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 28.0ms (82.9% of total)

ival-sub: 3.0ms (8.9% of total)

ival-add: 3.0ms (8.9% of total)

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

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

preprocess20.0ms (0.3%)

Memory

3.8MiB live, 56.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	35	45
2	62	43
3	80	43
4	106	43
5	136	43
6	145	43
7	154	43
0	5	7
0	8	7
1	12	7
2	13	7
0	13	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 y x) (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.2MiB allocated

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

10.7MiB live, 10.7MiB allocated

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
2	13	15
0	13	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 y x) (-.f64 x y))
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 x y)

localize18.0ms (0.3%)

Memory

-4.2MiB live, 41.1MiB allocated

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

14.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 5.0ms (65.6% of total)

ival-sub: 1.0ms (13.1% of total)

ival-add: 1.0ms (13.1% of total)

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

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

series4.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

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

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))

simplify190.0ms (3.1%)

Memory

17.4MiB live, 263.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	402
1	440	364
2	1524	315
3	6695	315
0	8125	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)
y
(+ x y)
(* -1 y)
(- x y)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ 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))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(* y (- (/ x y) 1))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite124.0ms (2.1%)

Memory

-48.2MiB live, 147.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	32	13
2	226	13
0	2983	13

Stop Event

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

Counts

3 → 330

Calls

Call 1

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

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

eval63.0ms (1%)

Memory: 32.2MiB live, 77.8MiB allocated
Compiler: Compiled 9 716 to 996 computations (89.7% saved)

prune62.0ms (1%)

Memory

-9.7MiB live, 40.3MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	339	10	349
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	339	11	350

Accuracy

100.0%

Counts

350 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
	99.9%	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
▶	83.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
▶	50.9%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
	50.7%	(/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))
▶	100.0%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
	49.6%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)))
	50.3%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
▶	51.2%	#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)))
	48.8%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
▶	50.0%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 271 to 175 computations (35.4% saved)

simplify5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	140
0	41	136
1	56	136
2	62	136
3	63	136
0	63	136

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (0.9%)

Memory

10.1MiB live, 96.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.0	#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy	0.041347509768442016	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
accuracy	10.057727790476553	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
accuracy	0.0	(/.f64 #s(literal -2 binary64) y)
accuracy	0.0	(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
accuracy	0.171875	(*.f64 (/.f64 #s(literal -2 binary64) y) x)
accuracy	31.234076102577905	#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(neg.f64 y)
accuracy	0.041347509768442016	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
accuracy	31.299096247982927	#s(approx (- x y) (neg.f64 y))
accuracy	32.023597967838995	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
accuracy	0.0	(-.f64 x y)
accuracy	0.01953125	(/.f64 y (-.f64 x y))
accuracy	0.0234375	(/.f64 x (-.f64 x y))
accuracy	0.02734375	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))

Samples

37.0ms

256×

valid

Compiler

Compiled 110 to 20 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 9.0ms (45.5% of total)

ival-sub: 4.0ms (20.2% of total)

ival-mult: 3.0ms (15.2% of total)

ival-add: 2.0ms (10.1% of total)

ival-neg: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.7%)

Memory

-27.6MiB live, 17.0MiB allocated

Counts

16 → 81

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (- (* (/ -2 y) x) 1) (* (/ -2 y) x) (/ -2 y) (/ (+ x y) (- x y)) (- x y) (* (- 1 (/ y x)) x))
3.0ms	x	@	-inf	((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (- (* (/ -2 y) x) 1) (* (/ -2 y) x) (/ -2 y) (/ (+ x y) (- x y)) (- x y) (* (- 1 (/ y x)) x))
2.0ms	x	@	inf	((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (- (* (/ -2 y) x) 1) (* (/ -2 y) x) (/ -2 y) (/ (+ x y) (- x y)) (- x y) (* (- 1 (/ y x)) x))
2.0ms	y	@	-inf	((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (- (* (/ -2 y) x) 1) (* (/ -2 y) x) (/ -2 y) (/ (+ x y) (- x y)) (- x y) (* (- 1 (/ y x)) x))
2.0ms	x	@	0	((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (- (* (/ -2 y) x) 1) (* (/ -2 y) x) (/ -2 y) (/ (+ x y) (- x y)) (- x y) (* (- 1 (/ y x)) x))

simplify136.0ms (2.3%)

Memory

32.6MiB live, 173.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	1160
1	1166	1048
2	3915	980
0	8432	904

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

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

rewrite314.0ms (5.2%)

Memory

-7.5MiB live, 477.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	117
0	41	113
1	127	113
2	864	113
0	8939	113

Stop Event

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

Counts

16 → 549

Calls

Call 1

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

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

eval270.0ms (4.5%)

Memory: 20.0MiB live, 207.0MiB allocated
Compiler: Compiled 22 971 to 1 881 computations (91.8% saved)

prune71.0ms (1.2%)

Memory

4.7MiB live, 45.8MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	711	1	712
Fresh	0	5	5
Picked	1	4	5
Done	0	1	1
Total	712	11	723

Accuracy

100.0%

Counts

723 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	99.9%	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
✓	83.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
✓	50.9%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	50.7%	(/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))
✓	100.0%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
	49.6%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)))
▶	51.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
▶	50.3%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
▶	48.8%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	50.0%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 224 to 143 computations (36.2% saved)

simplify282.0ms (4.7%)

Memory

-45.9MiB live, 196.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 x y) (+.f64 y x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) (+.f64 y x))
cost-diff	8	(/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
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	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
cost-diff	0	(+.f64 y x)
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
cost-diff	8	(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	145
0	39	137
1	92	125
2	235	121
3	619	121
4	4651	121
0	8447	121

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.6%)

Memory

32.0MiB live, 133.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (-.f64 x y) (+.f64 y x))
accuracy	0.03191376953688403	(*.f64 (+.f64 y x) (+.f64 y x))
accuracy	30.91349444578004	(/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))
accuracy	0.0	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	31.234076102577905	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.1015625	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
accuracy	31.828603943006414	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
accuracy	32.76814771098826	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
accuracy	0.0	(+.f64 x y)
accuracy	0.028007519536884032	(/.f64 (-.f64 x y) (+.f64 y x))
accuracy	0.03125	(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
accuracy	0.041347509768442016	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))

Samples

80.0ms

256×

valid

Compiler

Compiled 133 to 24 computations (82% saved)

Precisions

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

ival-mult: 38.0ms (70.2% of total)

ival-div: 10.0ms (18.5% of total)

ival-add: 5.0ms (9.2% of total)

ival-sub: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series90.0ms (1.5%)

Memory

-23.1MiB live, 68.6MiB allocated

Counts

15 → 83

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	((* (+ y x) (/ (- x y) (+ y x))) (/ (+ x y) (* (+ y x) (/ (- x y) (+ y x)))) (+ x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) (/ (* (+ y x) (+ y x)) (* (- x y) (+ y x))) (* (+ y x) (+ y x)) (* (- x y) (+ y x)) (/ (- x y) (+ y x)))
33.0ms	y	@	-inf	((* (+ y x) (/ (- x y) (+ y x))) (/ (+ x y) (* (+ y x) (/ (- x y) (+ y x)))) (+ x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) (/ (* (+ y x) (+ y x)) (* (- x y) (+ y x))) (* (+ y x) (+ y x)) (* (- x y) (+ y x)) (/ (- x y) (+ y x)))
7.0ms	x	@	-inf	((* (+ y x) (/ (- x y) (+ y x))) (/ (+ x y) (* (+ y x) (/ (- x y) (+ y x)))) (+ x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) (/ (* (+ y x) (+ y x)) (* (- x y) (+ y x))) (* (+ y x) (+ y x)) (* (- x y) (+ y x)) (/ (- x y) (+ y x)))
3.0ms	y	@	inf	((* (+ y x) (/ (- x y) (+ y x))) (/ (+ x y) (* (+ y x) (/ (- x y) (+ y x)))) (+ x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) (/ (* (+ y x) (+ y x)) (* (- x y) (+ y x))) (* (+ y x) (+ y x)) (* (- x y) (+ y x)) (/ (- x y) (+ y x)))
2.0ms	y	@	0	((* (+ y x) (/ (- x y) (+ y x))) (/ (+ x y) (* (+ y x) (/ (- x y) (+ y x)))) (+ x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) (/ (* (+ y x) (+ y x)) (* (- x y) (+ y x))) (* (+ y x) (+ y x)) (* (- x y) (+ y x)) (/ (- x y) (+ y x)))

simplify224.0ms (3.7%)

Memory

32.1MiB live, 270.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	318	1069
1	1065	963
2	3915	838
0	8780	772

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 81

Calls

Call 1

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

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

rewrite551.0ms (9.1%)

Memory

-53.1MiB live, 346.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	123
0	39	121
1	160	97
2	1344	97
0	8152	97

Stop Event

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

Counts

15 → 1 526

Calls

Call 1

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

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

eval271.0ms (4.5%)

Memory: 16.7MiB live, 439.6MiB allocated
Compiler: Compiled 42 249 to 3 978 computations (90.6% saved)

prune193.0ms (3.2%)

Memory

1.0MiB live, 91.1MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1 219	2	1 221
Fresh	0	1	1
Picked	1	4	5
Done	0	5	5
Total	1 220	12	1 232

Accuracy

100.0%

Counts

1 232 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	99.9%	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
✓	83.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
✓	50.9%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
✓	100.0%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
▶	49.6%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)))
✓	51.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	50.3%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
▶	3.4%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 y x) #s(literal 2 binary64))))
✓	48.8%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	50.0%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 153 to 104 computations (32% saved)

simplify285.0ms (4.7%)

Memory

22.6MiB live, 169.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	34	121
1	60	121
2	101	119
3	248	119
4	808	119
5	2333	119
6	6122	119
0	8031	117

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (0.8%)

Memory

-4.3MiB live, 86.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x y)
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
accuracy	0.028007519536884032	(/.f64 (-.f64 x y) (+.f64 x y))
accuracy	0.0625	(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x)
accuracy	0.09765625	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	1.9244699443032922	(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64))
accuracy	32.26655892174571	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)))
accuracy	0.0	(/.f64 y x)
accuracy	0.00390625	(*.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy	31.203287356346227	#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 y x) #s(literal 2 binary64)))
accuracy	31.828603943006414	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 y x) #s(literal 2 binary64))))

Samples

38.0ms

256×

valid

Compiler

Compiled 95 to 20 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 12.0ms (50.6% of total)

ival-add: 5.0ms (21.1% of total)

ival-mult: 5.0ms (21.1% of total)

ival-sub: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

12 → 72

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 y x) #s(literal 2 binary64))))
#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
(/.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)
(* 2 (/ y x))
(/ (+ x (* 2 y)) x)
(/ y x)
(* 2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) (pow x 2))
(/ (+ (* 2 (pow y 2)) (* x (+ x (* 2 y)))) (pow x 2))
(* 2 (/ y (pow x 2)))
(/ (+ (* 2 x) (* 2 y)) (pow x 2))
(/ (+ (* 2 x) (* 2 y)) x)
(- (* 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 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(+ 1 (* 2 (/ y x)))
(+ 1 (+ (* 2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))
(/ 2 x)
(/ (+ 2 (* 2 (/ y x))) x)
2
(+ 2 (* 2 (/ y 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
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(+ 1 (* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x)))
(* -1 (/ (- (* -2 (/ y x)) 2) 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 (* 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)))))
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ 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))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* (pow y 2) (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* 2 (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 2 (* x y)))))
(* y (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2)))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 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 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(- (* -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
2.0ms	y	@	-inf	((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ y x) 2) (/ y x) (/ (+ x y) (- x y)) (+ (* (/ (+ (* (/ 2 x) y) 2) x) y) 1) (/ (+ (* (/ 2 x) y) 2) x) (+ (* (/ 2 x) y) 2) (/ 1 (/ (- x y) (+ x y))) (/ (- x y) (+ x y)) (- x y) (+ x y))
2.0ms	y	@	inf	((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ y x) 2) (/ y x) (/ (+ x y) (- x y)) (+ (* (/ (+ (* (/ 2 x) y) 2) x) y) 1) (/ (+ (* (/ 2 x) y) 2) x) (+ (* (/ 2 x) y) 2) (/ 1 (/ (- x y) (+ x y))) (/ (- x y) (+ x y)) (- x y) (+ x y))
2.0ms	x	@	-inf	((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ y x) 2) (/ y x) (/ (+ x y) (- x y)) (+ (* (/ (+ (* (/ 2 x) y) 2) x) y) 1) (/ (+ (* (/ 2 x) y) 2) x) (+ (* (/ 2 x) y) 2) (/ 1 (/ (- x y) (+ x y))) (/ (- x y) (+ x y)) (- x y) (+ x y))
1.0ms	x	@	0	((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ y x) 2) (/ y x) (/ (+ x y) (- x y)) (+ (* (/ (+ (* (/ 2 x) y) 2) x) y) 1) (/ (+ (* (/ 2 x) y) 2) x) (+ (* (/ 2 x) y) 2) (/ 1 (/ (- x y) (+ x y))) (/ (- x y) (+ x y)) (- x y) (+ x y))
1.0ms	x	@	inf	((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ y x) 2) (/ y x) (/ (+ x y) (- x y)) (+ (* (/ (+ (* (/ 2 x) y) 2) x) y) 1) (/ (+ (* (/ 2 x) y) 2) x) (+ (* (/ 2 x) y) 2) (/ 1 (/ (- x y) (+ x y))) (/ (- x y) (+ x y)) (- x y) (+ x y))

simplify192.0ms (3.2%)

Memory

-16.1MiB live, 264.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	959
1	890	906
2	3202	758
0	8802	689

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

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

rewrite153.0ms (2.5%)

Memory

26.2MiB live, 303.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	108
0	34	108
1	129	108
2	809	106
0	8254	104

Stop Event

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

Counts

12 → 516

Calls

Call 1

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

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

eval142.0ms (2.3%)

Memory: -29.3MiB live, 165.3MiB allocated
Compiler: Compiled 17 576 to 2 056 computations (88.3% saved)

prune12.0ms (0.2%)

Memory

39.1MiB live, 39.1MiB allocated

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	557	1	558
Fresh	0	0	0
Picked	0	3	3
Done	0	9	9
Total	557	13	570

Accuracy

100.0%

Counts

570 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	99.9%	(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))
✓	83.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
✓	50.9%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
✓	100.0%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (neg.f64 (+.f64 y x)))
✓	49.6%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)))
✓	51.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	50.3%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
✓	3.4%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 y x) #s(literal 2 binary64))))
✓	48.8%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	50.0%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 356 to 171 computations (52% saved)

regimes16.0ms (0.3%)

Memory

-28.7MiB live, 24.3MiB allocated

Counts

15 → 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))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 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 x y) #s(literal -2 binary64) #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)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))))

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

Calls

3 calls:

8.0ms	y
4.0ms	x
3.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes10.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

10 → 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))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 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 x y) #s(literal -2 binary64) #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)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))

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

Calls

3 calls:

3.0ms	x
3.0ms	y
2.0ms	(/.f64 (+.f64 x y) (-.f64 x 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)

regimes12.0ms (0.2%)

Memory

-27.5MiB live, 17.6MiB allocated

Counts

9 → 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))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 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 x y) #s(literal -2 binary64) #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)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (neg.f64 (+.f64 y x)))

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

Calls

3 calls:

6.0ms	x
3.0ms	y
2.0ms	(/.f64 (+.f64 x y) (-.f64 x 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)

regimes7.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

6 → 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))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 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 x y) #s(literal -2 binary64) #s(literal -1 binary64)))

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

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`
78.0%	3	`x`
78.8%	3	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.2%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

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))

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

1.0ms

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

Results

Accuracy	Segments	Branch
97.2%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

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:

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

Results

Accuracy	Segments	Branch
50.0%	1	`x`
50.0%	1	`y`
50.0%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999807395450333	0.5951339220506076

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999807395450333	0.5951339220506076

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999807395450333	0.5951339220506076

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999807395450333	0.5951339220506076

Compiler

Compiled 10 to 10 computations (0% saved)

simplify13.0ms (0.2%)

Memory

-26.0MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	165
1	46	165
2	48	165

Stop Event

1×

saturated

Calls

Call 1

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

soundness935.0ms (15.5%)

Memory

15.7MiB live, 718.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	402
1	440	364
2	1524	315
3	6695	315
0	8125	287
0	360	1160
1	1166	1048
2	3915	980
0	8432	904
0	5	13
0	8	13
1	32	13
2	226	13
0	2983	13
0	25	123
0	39	121
1	160	97
2	1344	97
0	8152	97

Stop Event

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

Compiler

Compiled 282 to 105 computations (62.8% saved)

preprocess159.0ms (2.6%)

Memory: 4.7MiB live, 94.5MiB allocated
Compiler: Compiled 370 to 94 computations (74.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	45
1	35	45
2	62	43
3	80	43
4	106	43
5	136	43
6	145	43
7	154	43
0	5	7
0	8	7
1	12	7
2	13	7
0	13	7

Iter	Nodes	Cost
0	15	45
1	35	45
2	62	43
3	80	43
4	106	43
5	136	43
6	145	43
7	154	43
0	5	7
0	8	7
1	12	7
2	13	7
0	13	7

start0.0ms (0%)

analyze11.0ms (0.2%)

sample801.0ms (13.3%)

explain132.0ms (2.2%)

preprocess20.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.3%)

series4.0ms (0.1%)

simplify190.0ms (3.1%)

rewrite124.0ms (2.1%)

eval63.0ms (1%)

prune62.0ms (1%)

simplify5.0ms (0.1%)

localize55.0ms (0.9%)

series42.0ms (0.7%)

simplify136.0ms (2.3%)

rewrite314.0ms (5.2%)

eval270.0ms (4.5%)

prune71.0ms (1.2%)

simplify282.0ms (4.7%)

localize95.0ms (1.6%)

series90.0ms (1.5%)

simplify224.0ms (3.7%)

rewrite551.0ms (9.1%)

eval271.0ms (4.5%)

prune193.0ms (3.2%)

simplify285.0ms (4.7%)

localize49.0ms (0.8%)

series9.0ms (0.2%)

simplify192.0ms (3.2%)

rewrite153.0ms (2.5%)

eval142.0ms (2.3%)

prune12.0ms (0.2%)

regimes16.0ms (0.3%)

regimes10.0ms (0.2%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify13.0ms (0.2%)

soundness935.0ms (15.5%)

preprocess159.0ms (2.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	45
1	35	45
2	62	43
3	80	43
4	106	43
5	136	43
6	145	43
7	154	43
0	5	7
0	8	7
1	12	7
2	13	7
0	13	7