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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze19.0ms (0.3%)

Memory

4.8MiB live, 41.4MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.0s (17%)

Memory

16.5MiB live, 811.3MiB allocated

Samples

808.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 354.0ms

ival-sub: 218.0ms (61.6% of total)

ival-div: 87.0ms (24.6% of total)

ival-add: 41.0ms (11.6% of total)

ival-true: 5.0ms (1.4% of total)

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

Bogosity

explain62.0ms (1.1%)

Memory

-15.1MiB live, 115.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

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

ival-sub: 3.0ms (31.7% of total)

ival-div: 3.0ms (31.7% of total)

ival-add: 3.0ms (31.7% of total)

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

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

preprocess99.0ms (1.7%)

Memory

4.5MiB live, 87.1MiB allocated

Algorithm

1×	egg-herbie

Rules

410×	`times-frac`
304×	`lower-fma.f64`
304×	`lower-fma.f32`
228×	`associate-l`
182×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	50	37
2	122	35
3	313	35
4	821	35
5	1352	35
6	1401	35
7	1441	35
8	1484	35
9	1496	35
0	5	7
0	8	7
1	14	7
2	21	7
3	33	7
4	60	7
5	104	7
6	171	7
7	279	7
8	458	7
9	773	7
10	781	7
11	819	7
12	848	7
0	848	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))

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify26.0ms (0.4%)

Memory

-6.1MiB live, 30.3MiB 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))

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
142×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	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 x y)
x
y
(+.f64 x y)

localize17.0ms (0.3%)

Memory

1.8MiB live, 40.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 x y)
accuracy	0.015625	(/.f64 (-.f64 x y) (+.f64 x y))

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (43.2% of total)

ival-sub: 1.0ms (21.6% of total)

ival-add: 1.0ms (21.6% of total)

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

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

series4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 x y) (+.f64 x y))>
#<alt (-.f64 x y)>
#<alt (+.f64 x y)>

Outputs
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

18 calls:

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

simplify225.0ms (3.8%)

Memory

17.7MiB live, 327.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 876×	`lower-fma.f64`
11 876×	`lower-fma.f32`
3 410×	`lower-*.f64`
3 410×	`lower-*.f32`
2 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	462
1	439	432
2	1229	387
3	4744	375
0	8368	351

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 63

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

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

rewrite592.0ms (10%)

Memory

-9.1MiB live, 318.3MiB allocated

Rules

3 962×	`lower-*.f64`
3 962×	`lower-*.f32`
3 438×	`lower-/.f32`
3 436×	`lower-/.f64`
2 768×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	39	13
2	309	13
3	5153	13
0	8671	13

Stop Event

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

Counts

3 → 497

Calls

Call 1

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

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

eval184.0ms (3.1%)

Memory: -22.3MiB live, 96.9MiB allocated
Compiler: Compiled 14 469 to 1 238 computations (91.4% saved)

prune510.0ms (8.6%)

Memory

-5.2MiB live, 118.8MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	554	6	560
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	554	7	561

Accuracy

100.0%

Counts

561 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 x (+.f64 x y)))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	53.6%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
	48.4%	#s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
▶	53.6%	#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
▶	47.5%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
▶	52.6%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 109 to 65 computations (40.4% saved)

simplify283.0ms (4.8%)

Memory

24.1MiB live, 62.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x x)
cost-diff	0	(/.f64 (+.f64 x x) y)
cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
cost-diff	0	(+.f64 x y)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
cost-diff	0	(/.f64 x (+.f64 x y))
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 x y))
cost-diff	1088	(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 x (+.f64 x y)))

Rules

768×	`lower-fma.f32`
766×	`lower-fma.f64`
432×	`lower-*.f64`
432×	`lower-*.f32`
284×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	104
0	30	104
1	45	104
2	55	99
3	73	99
4	107	99
5	159	99
6	230	99
7	365	99
8	644	99
9	1185	99
10	1451	99
11	1652	99
12	1739	99
13	1763	99
14	1788	99
15	1796	99
0	1796	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (1%)

Memory

-19.1MiB live, 105.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (+.f64 x x) y)
accuracy	0	(+.f64 x x)
accuracy	0	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
accuracy	29.665596862182813	#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.015625	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
accuracy	29.808480773793963	#s(approx (- x y) (neg.f64 y))
accuracy	33.59761709432088	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
accuracy	30.33188656398327	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(/.f64 x (+.f64 x y))
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (+.f64 x y))
accuracy	0.078125	(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 x (+.f64 x y)))

Samples

28.0ms

256×

valid

Compiler

Compiled 89 to 17 computations (80.9% saved)

Precisions

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

ival-div: 7.0ms (42% of total)

ival-add: 5.0ms (30% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

13 → 288

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 3) (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) x)))>
#<alt (/ -1 y)>
#<alt (- (/ x (pow y 2)) (/ 1 y))>
#<alt (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ -1 x)>
#<alt (/ (- (/ y x) 1) x)>
#<alt (/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)>
#<alt (/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* -1 (/ y x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))>
#<alt (/ -1 x)>
#<alt (- (/ y (pow x 2)) (/ 1 x))>
#<alt (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ -1 y)>
#<alt (/ (- (/ x y) 1) y)>
#<alt (/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)>
#<alt (/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (* -1 (/ x y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (* 2 (/ x y))>
#<alt (* x (- (* 2 (/ 1 y)) (/ 1 x)))>
#<alt (* x (- (* 2 (/ 1 y)) (/ 1 x)))>
#<alt (* x (- (* 2 (/ 1 y)) (/ 1 x)))>
#<alt (* 2 (/ x y))>
#<alt (* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))>
#<alt (* 2 (/ x y))>
#<alt (/ (+ (* -1 y) (* 2 x)) y)>
#<alt (/ (+ (* -1 y) (* 2 x)) y)>
#<alt (/ (+ (* -1 y) (* 2 x)) y)>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+ -1 (/ (+ x x) y))
1.0ms	x	@	-inf	(+ (* y (/ -1 (+ x y))) (/ x (+ x y)))
0.0ms	x	@	0	(+ (* y (/ -1 (+ x y))) (/ x (+ x y)))
0.0ms	x	@	inf	(+ (* y (/ -1 (+ x y))) (/ x (+ x y)))
0.0ms	y	@	inf	(+ (* y (/ -1 (+ x y))) (/ x (+ x y)))

simplify298.0ms (5%)

Memory

-16.6MiB live, 410.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 742×	`lower-fma.f64`
11 742×	`lower-fma.f32`
3 380×	`lower-+.f64`
3 380×	`lower-+.f32`
3 196×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	2807
1	1097	2645
2	3037	2369
0	8343	2187

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 279

Calls

Call 1

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

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

rewrite608.0ms (10.3%)

Memory

2.7MiB live, 370.2MiB allocated

Rules

5 532×	`lower-/.f32`
5 524×	`lower-/.f64`
4 350×	`lower-fma.f32`
4 348×	`lower-fma.f64`
4 142×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	30	91
1	120	91
2	1030	91
0	8476	89

Stop Event

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

Counts

13 → 475

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x (+.f64 y x)) (/.f64 y (neg.f64 (+.f64 y x))))
(+.f64 (/.f64 y (neg.f64 (+.f64 y x))) (/.f64 x (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (.f64 y y) (.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (-.f64 (neg.f64 y) x) (+.f64 y x))) (/.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (-.f64 (neg.f64 y) x) (+.f64 y x))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 y x))) (/.f64 (/.f64 (.f64 y y) (.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 y x))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y x)) (/.f64 x (+.f64 y x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) y) (/.f64 x (+.f64 y x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 y x) x))) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) y (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 x #s(literal -1 binary64)) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x)) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (+.f64 y x))) (/.f64 x (+.f64 y x)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 (/.f64 y (+.f64 y x)) #s(literal -1 binary64) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) x (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y #s(literal -1 binary64)) (/.f64 x (+.f64 y x)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))
(fma.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 y (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x)))) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y (-.f64 y x) (.f64 x x)) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 (/.f64 x (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x)))) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x)))) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y (-.f64 y x) (.f64 x x)) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 y) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 y (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (+.f64 y x) (-.f64 x y)))) (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 y (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (+.f64 y x) (-.f64 x y)))) (/.f64 y (+.f64 y x)) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (/.f64 y (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 x (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (+.f64 y x) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (neg.f64 (+.f64 y x))))
(fma.f64 (/.f64 x (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 y (neg.f64 (+.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 y x)) (/.f64 y (neg.f64 (+.f64 y x)))))))
(/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 y x)) (/.f64 y (neg.f64 (+.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 y x)) (/.f64 y (neg.f64 (+.f64 y x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (-.f64 (.f64 y y) (.f64 (neg.f64 y) x)) (.f64 (+.f64 y x) (+.f64 y x)))) (+.f64 (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 (+.f64 y x) (.f64 (+.f64 y x) (+.f64 y x))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (fma.f64 x (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)) (+.f64 (+.f64 y x) (.f64 (/.f64 (+.f64 y x) x) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (+.f64 y x)) (+.f64 y x)) (fma.f64 (neg.f64 x) (+.f64 y x) (.f64 (neg.f64 (+.f64 y x)) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (fma.f64 (neg.f64 y) (+.f64 y x) (.f64 (+.f64 y x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (/.f64 (+.f64 y x) x)) (fma.f64 (neg.f64 y) (/.f64 (+.f64 y x) x) (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 y x) (neg.f64 (+.f64 y x))) (fma.f64 (neg.f64 y) (neg.f64 (+.f64 y x)) (.f64 (+.f64 y x) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x (neg.f64 y)) (+.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 (+.f64 y x) (.f64 (+.f64 y x) (+.f64 y x))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 y x) (.f64 (+.f64 y x) (+.f64 y x))))) (fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 y x)) (/.f64 (.f64 y y) (.f64 (+.f64 y x) (+.f64 y x)))))
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 (+.f64 y x) (.f64 (+.f64 y x) (+.f64 y x))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 y x) (.f64 (+.f64 y x) (+.f64 y x))))) (+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (-.f64 (.f64 y y) (.f64 (neg.f64 y) x)) (*.f64 (+.f64 y x) (+.f64 y x)))))
(/.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (-.f64 (neg.f64 y) x) (+.f64 y x)))
(/.f64 (fma.f64 x (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 y))) (.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (+.f64 (+.f64 y x) (.f64 (/.f64 (+.f64 y x) x) (neg.f64 y))) (.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)))
(/.f64 (fma.f64 (neg.f64 x) (+.f64 y x) (.f64 (neg.f64 (+.f64 y x)) (neg.f64 y))) (.f64 (neg.f64 (+.f64 y x)) (+.f64 y x)))
(/.f64 (fma.f64 (neg.f64 y) (+.f64 y x) (.f64 (+.f64 y x) x)) (.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (+.f64 y x) x) (+.f64 y x)) (*.f64 (+.f64 y x) (/.f64 (+.f64 y x) x)))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 (+.f64 y x)) (.f64 (+.f64 y x) (neg.f64 x))) (.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 (+.f64 y x) (.f64 (+.f64 y x) (+.f64 y x))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 y x) (.f64 (+.f64 y x) (+.f64 y x)))))) (neg.f64 (fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 y x)) (/.f64 (.f64 y y) (.f64 (+.f64 y x) (+.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 (+.f64 y x) (.f64 (+.f64 y x) (+.f64 y x))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 y x) (.f64 (+.f64 y x) (+.f64 y x)))))) (neg.f64 (+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (+.f64 y x))) (/.f64 (-.f64 (.f64 y y) (.f64 (neg.f64 y) x)) (*.f64 (+.f64 y x) (+.f64 y x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 (+.f64 y x) (+.f64 y x)))) (neg.f64 (/.f64 (-.f64 (neg.f64 y) x) (+.f64 y x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x)) (.f64 (neg.f64 (/.f64 (+.f64 y x) x)) y)) (.f64 (neg.f64 (/.f64 (+.f64 y x) x)) (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) (neg.f64 y)) (.f64 (neg.f64 (/.f64 (+.f64 y x) x)) #s(literal 1 binary64))) (.f64 (neg.f64 (/.f64 (+.f64 y x) x)) (/.f64 (+.f64 y x) (neg.f64 y))))
(/.f64 (+.f64 (neg.f64 (+.f64 y x)) (.f64 (neg.f64 (/.f64 (+.f64 y x) x)) (neg.f64 y))) (.f64 (neg.f64 (/.f64 (+.f64 y x) x)) (+.f64 y x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x)) (.f64 (neg.f64 (/.f64 (+.f64 y x) x)) (neg.f64 (neg.f64 y)))) (.f64 (neg.f64 (/.f64 (+.f64 y x) x)) (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x)) (.f64 (neg.f64 (/.f64 (+.f64 y x) x)) (.f64 y #s(literal 1 binary64)))) (*.f64 (neg.f64 (/.f64 (+.f64 y x) x)) (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x)) (.f64 (neg.f64 (/.f64 (+.f64 y x) x)) (.f64 #s(literal 1 binary64) y))) (*.f64 (neg.f64 (/.f64 (+.f64 y x) x)) (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 x (neg.f64 (+.f64 y x)) (.f64 (+.f64 y x) y)) (.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 x (/.f64 (+.f64 y x) (neg.f64 y)) (+.f64 y x)) (*.f64 (+.f64 y x) (/.f64 (+.f64 y x) (neg.f64 y))))
(/.f64 (fma.f64 x (neg.f64 (+.f64 y x)) (.f64 (+.f64 y x) (neg.f64 (neg.f64 y)))) (.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 x (neg.f64 (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y #s(literal 1 binary64)))) (*.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 x (neg.f64 (+.f64 y x)) (.f64 (+.f64 y x) (.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
(/.f64 (+.f64 (neg.f64 (+.f64 y x)) (.f64 (/.f64 (+.f64 y x) x) y)) (.f64 (/.f64 (+.f64 y x) x) (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (neg.f64 y)) (/.f64 (+.f64 y x) x)) (*.f64 (/.f64 (+.f64 y x) x) (/.f64 (+.f64 y x) (neg.f64 y))))
(/.f64 (+.f64 (neg.f64 (+.f64 y x)) (.f64 (/.f64 (+.f64 y x) x) (neg.f64 (neg.f64 y)))) (.f64 (/.f64 (+.f64 y x) x) (neg.f64 (+.f64 y x))))
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eval306.0ms (5.2%)

Memory: 11.8MiB live, 118.2MiB allocated
Compiler: Compiled 15 233 to 1 550 computations (89.8% saved)

prune258.0ms (4.4%)

Memory

-21.8MiB live, 185.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	868	0	868
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	868	7	875

Accuracy

100.0%

Counts

875 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 x (+.f64 x y)))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	53.6%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
▶	48.4%	#s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
✓	53.6%	#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
✓	47.5%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	52.6%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 59 to 35 computations (40.7% saved)

simplify69.0ms (1.2%)

Memory

19.0MiB live, 56.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

560×	`lower-fma.f32`
558×	`lower-fma.f64`
368×	`lower-*.f64`
368×	`lower-*.f32`
254×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
0	13	27
1	25	27
2	33	27
3	47	27
4	75	27
5	120	27
6	186	27
7	321	27
8	589	27
9	1033	27
10	1290	27
11	1539	27
12	1570	27
13	1584	27
14	1596	27
0	1596	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.4%)

Memory

20.6MiB live, 20.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.125	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
accuracy	33.02699920589199	#s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 23 to 12 computations (47.8% saved)

Precisions

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

ival-div: 3.0ms (32.5% of total)

ival-add: 2.0ms (21.7% of total)

ival-mult: 2.0ms (21.7% of total)

ival-sub: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.4%)

Memory

-34.6MiB live, 4.1MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

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

#<alt (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))>

#<alt (/.f64 #s(literal -2 binary64) x)>

Outputs
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (* -2 (/ y x))>
#<alt (* y (- (/ 1 y) (* 2 (/ 1 x))))>
#<alt (* y (- (/ 1 y) (* 2 (/ 1 x))))>
#<alt (* y (- (/ 1 y) (* 2 (/ 1 x))))>
#<alt (* -2 (/ y x))>
#<alt (* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))>
#<alt (* -2 (/ y x))>
#<alt (/ (+ x (* -2 y)) x)>
#<alt (/ (+ x (* -2 y)) x)>
#<alt (/ (+ x (* -2 y)) x)>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>

Calls

15 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(/ -2 x)
0.0ms	y	@	0	(+ (* y (/ -2 x)) 1)
0.0ms	y	@	inf	(+ (* y (/ -2 x)) 1)
0.0ms	x	@	0	(+ (* y (/ -2 x)) 1)
0.0ms	x	@	inf	(/ -2 x)

simplify368.0ms (6.2%)

Memory

13.4MiB live, 293.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 252×	`lower-fma.f64`
16 252×	`lower-fma.f32`
4 566×	`lower-*.f64`
4 566×	`lower-*.f32`
3 070×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	564
1	390	489
2	1085	444
3	4102	432
0	8725	390

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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

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

rewrite253.0ms (4.3%)

Memory

1.6MiB live, 351.3MiB allocated

Rules

4 518×	`lower-fma.f32`
4 516×	`lower-fma.f64`
4 488×	`lower-*.f64`
4 488×	`lower-*.f32`
3 880×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	13	23
1	69	23
2	500	23
3	7821	23
0	8313	23

Stop Event

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

Counts

3 → 104

Calls

Call 1

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

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

eval19.0ms (0.3%)

Memory: 11.0MiB live, 47.0MiB allocated
Compiler: Compiled 3 285 to 296 computations (91% saved)

prune56.0ms (0.9%)

Memory

-28.4MiB live, 67.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	164	7	171

Accuracy

100.0%

Counts

171 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 x (+.f64 x y)))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	53.6%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	48.4%	#s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
✓	53.6%	#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
✓	47.5%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	52.6%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 106 to 53 computations (50% saved)

regimes8.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(/.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
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes7.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB 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))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.2%	3	`x`
83.0%	3	`y`
99.1%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

-34.4MiB live, 4.5MiB 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))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.7%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))

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

Calls

1 calls:

1.0ms

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

Results

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.5%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB 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	x
1.0ms	y
1.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`y`
52.6%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	0.9833007409777477

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	0.9833007409777477

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	0.9833007409777477

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch36.0ms (0.6%)

Memory

-17.0MiB live, 22.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1.0	0.9833007409777477

Samples

4.0ms

240×

valid

Compiler

Compiled 162 to 130 computations (19.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify8.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	146
1	38	146
2	41	146
3	42	146

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))) #s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))) #s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))

soundness400.0ms (6.8%)

Memory

7.3MiB live, 279.5MiB allocated

Rules

11 876×	`lower-fma.f64`
11 876×	`lower-fma.f32`
3 410×	`lower-*.f64`
3 410×	`lower-*.f32`
2 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	462
1	439	432
2	1229	387
3	4744	375
0	8368	351

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 132 to 56 computations (57.6% saved)

preprocess53.0ms (0.9%)

Memory: -6.1MiB live, 116.3MiB allocated
Compiler: Compiled 222 to 66 computations (70.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15

start0.0ms (0%)

analyze19.0ms (0.3%)

sample1.0s (17%)

explain62.0ms (1.1%)

preprocess99.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.4%)

localize17.0ms (0.3%)

series4.0ms (0.1%)

simplify225.0ms (3.8%)

rewrite592.0ms (10%)

eval184.0ms (3.1%)

prune510.0ms (8.6%)

simplify283.0ms (4.8%)

localize60.0ms (1%)

series13.0ms (0.2%)

simplify298.0ms (5%)

rewrite608.0ms (10.3%)

eval306.0ms (5.2%)

prune258.0ms (4.4%)

simplify69.0ms (1.2%)

localize24.0ms (0.4%)

series23.0ms (0.4%)

simplify368.0ms (6.2%)

rewrite253.0ms (4.3%)

eval19.0ms (0.3%)

prune56.0ms (0.9%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch36.0ms (0.6%)

simplify8.0ms (0.1%)

soundness400.0ms (6.8%)

preprocess53.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15