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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.3s (20.5%)

Memory

-148.9MiB live, 865.2MiB allocated

Samples

733.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 432.0ms

ival-mult: 319.0ms (73.8% of total)

ival-div: 58.0ms (13.4% of total)

ival-sub: 40.0ms (9.3% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain87.0ms (1.3%)

Memory

13.1MiB live, 173.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
72	-	8	(8.085034100281924e-231 3.467350918029976e-89)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	38	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	38
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	26	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	26

Confusion

	Predicted +	Predicted -
+	64	8
-	0	184

Precision

1.0

Recall

0.8888888888888888

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	8
-	0	0	184

Precision?

1.0

Recall?

0.8888888888888888

Freqs

test

number	freq
0	192
1	64

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

14.889404296875

Average Time

0.05816173553466797

Samples

13.0ms

256×

valid

Compiler

Compiled 80 to 36 computations (55% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (46.2% of total)

ival-div: 2.0ms (30.8% of total)

ival-sub: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess401.0ms (6.1%)

Memory

-33.6MiB live, 57.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	62	45
2	212	45
3	775	45
4	2699	45
5	3378	45
6	3564	45
7	3578	45
8	3593	45
9	3598	45
10	3598	45
11	3802	45
12	3898	45
13	3898	45
14	4002	45
15	4621	45
0	7	9
0	11	9
1	19	9
2	40	9
3	64	9
4	84	9
5	148	9
6	310	9
7	682	9
8	1532	9
9	2375	9
10	2393	9
11	2407	9
12	2419	9
13	2419	9
0	2419	9

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.7%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify53.0ms (0.8%)

Memory

27.6MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	19	23
2	40	23
3	64	23
4	84	23
5	148	23
6	310	23
7	682	23
8	1532	23
9	2375	23
10	2393	23
11	2407	23
12	2419	23
13	2419	23
0	2419	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.5%)

Memory

-6.8MiB live, 32.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	16.175225510703733	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

19.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (73.8% of total)

ival-div: 2.0ms (16.4% of total)

ival-sub: 1.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series59.0ms (0.9%)

Memory

-27.8MiB live, 7.9MiB allocated

Counts

4 → 28

Calls

Call 1

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

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

Calls

6 calls:

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

simplify158.0ms (2.4%)

Memory

35.9MiB live, 151.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	337
1	378	323
2	1014	303
3	3098	297
4	6418	297
0	8142	268

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

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

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

rewrite365.0ms (5.5%)

Memory

4.4MiB live, 243.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	40	20
2	250	20
3	2754	20
0	9208	20

Stop Event

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

Counts

4 → 405

Calls

Call 1

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

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

eval51.0ms (0.8%)

Memory: 7.3MiB live, 111.6MiB allocated
Compiler: Compiled 10 640 to 1 340 computations (87.4% saved)

prune15.0ms (0.2%)

Memory

-37.8MiB live, 23.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	415	6	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	416	6	422

Accuracy

100.0%

Counts

422 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
	55.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)))
▶	46.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
▶	54.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
▶	55.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
▶	46.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 188 to 128 computations (31.9% saved)

simplify218.0ms (3.3%)

Memory

5.5MiB live, 78.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	135
0	38	135
1	62	135
2	105	135
3	162	135
4	218	135
5	444	135
6	737	135
7	1620	135
8	2879	135
9	3594	135
10	3864	135
11	3961	135
12	3983	135
13	3985	135
14	4177	135
15	4249	135
16	4249	135
17	4249	135
18	4249	135
19	4321	135
20	4802	135
0	4802	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize142.0ms (2.2%)

Memory

-4.6MiB live, 116.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.06640625	(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
accuracy	34.41594665798777	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.1015625	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy	0.125	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	28.885489407984117	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	28.610783075188653	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	33.96793679783875	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.01171875	(/.f64 y (-.f64 x y))
accuracy	7.544260871813152	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))

Samples

104.0ms

256×

valid

Compiler

Compiled 250 to 48 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 61.0ms (76.4% of total)

ival-mult: 14.0ms (17.5% of total)

ival-sub: 2.0ms (2.5% of total)

ival-add: 2.0ms (2.5% 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

10.5MiB live, 10.5MiB allocated

Counts

16 → 64

Calls

Call 1

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

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

Calls

6 calls:

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

simplify151.0ms (2.3%)

Memory

5.1MiB live, 190.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	732
1	718	712
2	2053	657
3	6008	649
0	8145	593

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

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

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

rewrite163.0ms (2.5%)

Memory

21.1MiB live, 181.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	38	122
1	125	122
2	726	122
0	8334	122

Stop Event

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

Counts

16 → 600

Calls

Call 1

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

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

eval249.0ms (3.8%)

Memory: -20.2MiB live, 113.4MiB allocated
Compiler: Compiled 16 543 to 2 204 computations (86.7% saved)

prune242.0ms (3.7%)

Memory

-6.5MiB live, 32.3MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	637	2	639
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	637	8	645

Accuracy

100.0%

Counts

645 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
▶	43.5%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
▶	55.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)))
▶	46.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	46.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	54.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	55.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
✓	46.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 125 to 85 computations (32% saved)

simplify184.0ms (2.8%)

Memory

21.5MiB live, 102.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	128
0	33	128
1	69	128
2	152	128
3	288	128
4	501	128
5	1093	128
6	1667	128
7	2671	128
8	4751	128
9	6605	128
10	7428	128
11	7647	128
12	7773	128
13	7826	128
0	8081	128

Stop Event

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

Calls

Call 1

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

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

localize69.0ms (1%)

Memory

-7.1MiB live, 104.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	7.544260871813152	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
accuracy	28.731852466448146	#s(approx (/ y (- x y)) (/.f64 y x))
accuracy	0	(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
accuracy	0.05078125	(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y)
accuracy	0.09375	(fma.f64 (/.f64 y x) y y)
accuracy	28.537418874476366	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
accuracy	0.05859375	(fma.f64 (/.f64 x y) x x)
accuracy	34.41594665798777	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))

Samples

41.0ms

256×

valid

Compiler

Compiled 234 to 45 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 15.0ms (50.3% of total)

ival-div: 9.0ms (30.2% of total)

ival-add: 3.0ms (10.1% of total)

ival-sub: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.4%)

Memory

1.6MiB live, 47.5MiB allocated

Counts

12 → 68

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) (+ (* (/ y x) y) y)) y) 2) (+ (* (/ y x) (+ (* (/ y x) y) y)) y) (/ y x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (* 2 x) (+ (* (/ y x) y) y))
4.0ms	x	@	inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) (+ (* (/ y x) y) y)) y) 2) (+ (* (/ y x) (+ (* (/ y x) y) y)) y) (/ y x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (* 2 x) (+ (* (/ y x) y) y))
2.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) (+ (* (/ y x) y) y)) y) 2) (+ (* (/ y x) (+ (* (/ y x) y) y)) y) (/ y x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (* 2 x) (+ (* (/ y x) y) y))
2.0ms	y	@	-inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) (+ (* (/ y x) y) y)) y) 2) (+ (* (/ y x) (+ (* (/ y x) y) y)) y) (/ y x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (* 2 x) (+ (* (/ y x) y) y))
2.0ms	x	@	0	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ y x) (+ (* (/ y x) y) y)) y) 2) (+ (* (/ y x) (+ (* (/ y x) y) y)) y) (/ y x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (* 2 x) (+ (* (/ y x) y) y))

simplify144.0ms (2.2%)

Memory

12.9MiB live, 205.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	931
1	813	903
2	2313	828
3	6311	820
0	8418	752

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 66

Calls

Call 1

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

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

rewrite209.0ms (3.2%)

Memory

-11.7MiB live, 153.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	116
0	33	116
1	130	116
2	964	116
0	8633	116

Stop Event

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

Counts

12 → 454

Calls

Call 1

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

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

eval282.0ms (4.3%)

Memory: 8.5MiB live, 81.4MiB allocated
Compiler: Compiled 19 422 to 2 301 computations (88.2% saved)

prune30.0ms (0.5%)

Memory

-23.0MiB live, 26.4MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	556	1	557
Fresh	0	0	0
Picked	0	3	3
Done	1	4	5
Total	557	8	565

Accuracy

100.0%

Counts

565 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
✓	43.5%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
✓	55.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)))
✓	46.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	46.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
▶	54.9%	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)))
✓	55.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
✓	46.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 139 to 91 computations (34.5% saved)

simplify197.0ms (3%)

Memory

23.0MiB live, 59.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	83
0	20	83
1	45	83
2	100	83
3	167	83
4	221	83
5	392	83
6	684	83
7	1573	83
8	3200	83
9	3775	83
10	3984	83
11	4006	83
12	4006	83
13	4131	83
14	4179	83
15	4179	83
16	4179	83
17	4203	83
18	4213	83
19	4213	83
0	4213	80

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (0.8%)

Memory

-15.3MiB live, 22.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))
accuracy	0.09375	(fma.f64 (/.f64 y x) y y)
accuracy	20.4986958866623	#s(approx (+ (* (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y))
accuracy	28.537418874476366	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)))

Samples

47.0ms

256×

valid

Compiler

Compiled 138 to 33 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 26.0ms (65.6% of total)

ival-sub: 8.0ms (20.2% of total)

ival-div: 3.0ms (7.6% of total)

ival-add: 2.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

4 → 39

Calls

Call 1

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

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

Calls

6 calls:

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

simplify240.0ms (3.6%)

Memory

23.7MiB live, 219.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	575
1	513	547
2	1459	505
3	4405	503
4	7840	503
0	8306	455

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

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

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

rewrite413.0ms (6.3%)

Memory

-40.5MiB live, 243.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
0	20	77
1	90	77
2	706	77
0	8634	74

Stop Event

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

Counts

4 → 70

Calls

Call 1

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

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

eval11.0ms (0.2%)

Memory: 27.6MiB live, 27.6MiB allocated
Compiler: Compiled 4 051 to 501 computations (87.6% saved)

prune7.0ms (0.1%)

Memory

-24.8MiB live, 13.9MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	96	8	104

Accuracy

100.0%

Counts

104 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
✓	43.5%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
✓	55.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)))
✓	46.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	46.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	54.9%	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)))
✓	55.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
✓	46.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 305 to 138 computations (54.8% saved)

regimes12.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.5%	3	`x`
95.1%	3	`y`
98.1%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
95.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes34.0ms (0.5%)

Memory

-28.7MiB live, 15.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

27.0ms	y
3.0ms	x
3.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
63.9%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
75.3%	3	`y`
81.8%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
81.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
81.7%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
46.9%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
46.9%	1	`y`
46.9%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch46.0ms (0.7%)

Memory

11.0MiB live, 50.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.618110457642365e+161	3.173019935899165e+167
31.0ms	-1.3867245338223011e+181	-1.4390723733244716e+177

Samples

13.0ms

272×

valid

Compiler

Compiled 628 to 426 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (54.1% of total)

ival-div: 2.0ms (27% of total)

ival-sub: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Memory

-32.0MiB live, 5.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	8.618110457642365e+161	3.173019935899165e+167
1.0ms	-1.3867245338223011e+181	-1.4390723733244716e+177

Compiler

Compiled 709 to 471 computations (33.6% saved)

bsearch27.0ms (0.4%)

Memory

8.5MiB live, 46.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.2526012477236394e-29	3.9664127063048834e-22
11.0ms	-4.991602199393055e-64	-1.9923067187272068e-68

Samples

14.0ms

272×

valid

Compiler

Compiled 862 to 556 computations (35.5% saved)

Precisions

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

ival-sub: 3.0ms (34.3% of total)

ival-mult: 3.0ms (34.3% of total)

ival-div: 2.0ms (22.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

15.3MiB live, 15.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	4.2526012477236394e-29	3.9664127063048834e-22
1.0ms	-4.991602199393055e-64	-1.9923067187272068e-68

Samples

3.0ms

64×

valid

Compiler

Compiled 777 to 522 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (63.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Memory

-17.2MiB live, 25.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.2526012477236394e-29	3.9664127063048834e-22
12.0ms	-4.991602199393055e-64	-1.9923067187272068e-68

Samples

8.0ms

112×

valid

Compiler

Compiled 454 to 386 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (34.9% of total)

ival-div: 1.0ms (34.9% of total)

ival-mult: 1.0ms (34.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify25.0ms (0.4%)

Memory

3.4MiB live, 42.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	388
1	64	388
2	69	388
3	71	388
4	72	388

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -23999999999999998379210014232505124270392475451602949388752573670736703218925358801594244764378621274186900020910488650841046158579076507110867239589069856486910861190584999084032 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 17000000000000000541784231609766779397036709364563604294669579415150888840888568370568873724108729537490024422080090854885491694756637961177334376447528450641625088 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -23999999999999998379210014232505124270392475451602949388752573670736703218925358801594244764378621274186900020910488650841046158579076507110867239589069856486910861190584999084032 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 17000000000000000541784231609766779397036709364563604294669579415150888840888568370568873724108729537490024422080090854885491694756637961177334376447528450641625088 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6669624340069413/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1181939495522123/11150372599265311570767859136324180752990208 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6669624340069413/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 2319277500647185/44601490397061246283071436545296723011960832 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -2466278867083445/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 2319277500647185/44601490397061246283071436545296723011960832 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Outputs
(if (<=.f64 x #s(literal -23999999999999998379210014232505124270392475451602949388752573670736703218925358801594244764378621274186900020910488650841046158579076507110867239589069856486910861190584999084032 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 17000000000000000541784231609766779397036709364563604294669579415150888840888568370568873724108729537490024422080090854885491694756637961177334376447528450641625088 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -23999999999999998379210014232505124270392475451602949388752573670736703218925358801594244764378621274186900020910488650841046158579076507110867239589069856486910861190584999084032 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 17000000000000000541784231609766779397036709364563604294669579415150888840888568370568873724108729537490024422080090854885491694756637961177334376447528450641625088 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -23999999999999998379210014232505124270392475451602949388752573670736703218925358801594244764378621274186900020910488650841046158579076507110867239589069856486910861190584999084032 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 17000000000000000541784231609766779397036709364563604294669579415150888840888568370568873724108729537490024422080090854885491694756637961177334376447528450641625088 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -23999999999999998379210014232505124270392475451602949388752573670736703218925358801594244764378621274186900020910488650841046158579076507110867239589069856486910861190584999084032 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 17000000000000000541784231609766779397036709364563604294669579415150888840888568370568873724108729537490024422080090854885491694756637961177334376447528450641625088 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6669624340069413/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1181939495522123/11150372599265311570767859136324180752990208 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6669624340069413/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 2319277500647185/44601490397061246283071436545296723011960832 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ y x) (+ (* (/ y x) y) y)) y) (fma.f64 (/.f64 y x) y y)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -2466278867083445/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 2319277500647185/44601490397061246283071436545296723011960832 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
(if (<=.f64 x #s(literal -2466278867083445/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 2319277500647185/44601490397061246283071436545296723011960832 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

soundness698.0ms (10.6%)

Memory

17.1MiB live, 487.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	40	20
2	250	20
3	2754	20
0	9208	20
0	136	337
1	378	323
2	1014	303
3	3098	297
4	6418	297
0	8142	268
0	267	931
1	813	903
2	2313	828
3	6311	820
0	8418	752

Stop Event

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

Compiler

Compiled 462 to 118 computations (74.5% saved)

preprocess71.0ms (1.1%)

Memory: 19.0MiB live, 96.7MiB allocated
Compiler: Compiled 864 to 158 computations (81.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze12.0ms (0.2%)

sample1.3s (20.5%)

explain87.0ms (1.3%)

preprocess401.0ms (6.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify53.0ms (0.8%)

localize32.0ms (0.5%)

series59.0ms (0.9%)

simplify158.0ms (2.4%)

rewrite365.0ms (5.5%)

eval51.0ms (0.8%)

prune15.0ms (0.2%)

simplify218.0ms (3.3%)

localize142.0ms (2.2%)

series13.0ms (0.2%)

simplify151.0ms (2.3%)

rewrite163.0ms (2.5%)

eval249.0ms (3.8%)

prune242.0ms (3.7%)

simplify184.0ms (2.8%)

localize69.0ms (1%)

series29.0ms (0.4%)

simplify144.0ms (2.2%)

rewrite209.0ms (3.2%)

eval282.0ms (4.3%)

prune30.0ms (0.5%)

simplify197.0ms (3%)

localize55.0ms (0.8%)

series3.0ms (0.1%)

simplify240.0ms (3.6%)

rewrite413.0ms (6.3%)

eval11.0ms (0.2%)

prune7.0ms (0.1%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes34.0ms (0.5%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch46.0ms (0.7%)

bsearch5.0ms (0.1%)

bsearch27.0ms (0.4%)

bsearch8.0ms (0.1%)

bsearch14.0ms (0.2%)

simplify25.0ms (0.4%)

soundness698.0ms (10.6%)

preprocess71.0ms (1.1%)

end0.0ms (0%)

Profiling