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

15.0MiB live, 15.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (20.5%)

Memory

-2.3MiB live, 901.9MiB allocated

Samples

609.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-sub: 196.0ms (48.7% of total)

ival-mult: 140.0ms (34.8% of total)

ival-div: 53.0ms (13.2% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.2% of total)

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

Bogosity

explain228.0ms (4.1%)

Memory

9.7MiB live, 96.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
48	-	5	(2.193182056375942e-111 1.4829902672236843e-204)	`(/.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	26	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	26
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	17	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	17

Confusion

	Predicted +	Predicted -
+	43	5
-	0	208

Precision

1.0

Recall

0.8958333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	43	0	5
-	0	0	208

Precision?

1.0

Recall?

0.8958333333333334

Freqs

test

number	freq
0	213
1	43

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (46.4% of total)

ival-sub: 3.0ms (23.2% of total)

ival-div: 3.0ms (23.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess199.0ms (3.5%)

Memory

-29.4MiB live, 88.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	62	45
2	212	45
3	780	45
4	2705	45
5	3395	45
6	3579	45
7	3593	45
8	3608	45
9	3613	45
10	3613	45
11	3817	45
12	3913	45
13	3913	45
14	4017	45
15	4614	45
0	7	9
0	11	9
1	19	9
2	40	9
3	64	9
4	84	9
5	148	9
6	322	9
7	708	9
8	1610	9
9	2525	9
10	2542	9
11	2556	9
12	2568	9
13	2568	9
0	2568	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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.3%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify58.0ms (1%)

Memory

27.9MiB live, 61.5MiB 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	322	23
7	708	23
8	1610	23
9	2525	23
10	2542	23
11	2556	23
12	2568	23
13	2568	23
0	2568	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)

localize24.0ms (0.4%)

Memory

18.5MiB live, 52.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	10.691863583670617	(/.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: 9.0ms

ival-div: 4.0ms (45.5% of total)

ival-mult: 3.0ms (34.1% of total)

ival-sub: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.4%)

Memory

-22.4MiB live, 15.6MiB 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
14.0ms	x	@	0	((/ (* (* 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))
2.0ms	x	@	-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))
1.0ms	y	@	-inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))

simplify254.0ms (4.5%)

Memory

-24.7MiB live, 212.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	337
1	378	323
2	1027	303
3	3113	297
4	6493	297
0	8219	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 (/.f64 #s(literal -2 binary64) 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)

rewrite563.0ms (10%)

Memory

-12.7MiB live, 147.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	40	20
2	250	20
3	2753	20
0	9283	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))

eval159.0ms (2.8%)

Memory: 5.6MiB live, 79.6MiB allocated
Compiler: Compiled 10 640 to 1 340 computations (87.4% saved)

prune11.0ms (0.2%)

Memory

-7.7MiB live, 31.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	414	7	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	415	7	422

Accuracy

100.0%

Counts

422 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.1%	(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
	87.0%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
▶	88.9%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
▶	49.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
▶	50.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
▶	50.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
▶	50.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 178 to 130 computations (27% saved)

simplify204.0ms (3.6%)

Memory

19.5MiB live, 67.5MiB 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 x y)
cost-diff	0	(/.f64 x (-.f64 x y))
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	135
0	38	135
1	66	135
2	114	135
3	171	135
4	224	135
5	447	135
6	741	135
7	1618	135
8	2948	135
9	3653	135
10	3897	135
11	3991	135
12	4013	135
13	4015	135
14	4207	135
15	4279	135
16	4279	135
17	4279	135
18	4279	135
19	4351	135
20	4820	135
0	4820	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize74.0ms (1.3%)

Memory

-0.3MiB live, 113.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.00390625	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0.05859375	(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
accuracy	32.16761523088934	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.078125	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy	0.1015625	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	31.89178361176018	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	31.573918666932748	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	31.86575448264266	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	0.01171875	(/.f64 x (-.f64 x y))
accuracy	7.082278662925647	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))

Samples

45.0ms

256×

valid

Compiler

Compiled 250 to 48 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 20.0ms (65.5% of total)

ival-div: 6.0ms (19.6% of total)

ival-add: 2.0ms (6.5% of total)

ival-sub: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.4%)

Memory

-2.9MiB live, 39.1MiB allocated

Counts

16 → 63

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	((* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* 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))
3.0ms	x	@	0	((* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* 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 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* 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 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* 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 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* 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))

simplify161.0ms (2.9%)

Memory

12.7MiB live, 169.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	753
1	716	709
2	2023	659
3	5905	651
0	8153	602

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

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

rewrite364.0ms (6.5%)

Memory

-4.3MiB live, 150.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	38	122
1	129	122
2	745	122
0	8354	122

Stop Event

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

Counts

16 → 648

Calls

Call 1

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

eval143.0ms (2.5%)

Memory: -13.6MiB live, 143.5MiB allocated
Compiler: Compiled 18 304 to 2 357 computations (87.1% saved)

prune55.0ms (1%)

Memory

-5.1MiB live, 33.9MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	680	3	683
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	683	7	690

Accuracy

100.0%

Counts

690 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.1%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
▶	87.0%	(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
✓	88.9%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
▶	49.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	50.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	50.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
✓	50.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 89 to 65 computations (27% saved)

simplify141.0ms (2.5%)

Memory

6.7MiB live, 84.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) y)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	384	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 y (-.f64 x y))
cost-diff	0	(.f64 (/.f64 y (-.f64 x y)) (.f64 x #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	18	84
0	28	84
1	52	84
2	102	84
3	154	84
4	186	84
5	379	84
6	696	84
7	1587	84
8	2850	84
9	3603	84
10	3751	84
11	3757	84
12	3761	84
13	3762	84
14	3902	84
15	3952	84
16	3952	84
0	3952	84

Stop Event

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

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

localize51.0ms (0.9%)

Memory

16.1MiB live, 60.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 (-.f64 x y) y)
accuracy	8.90260418805489	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.00390625	(/.f64 y (-.f64 x y))
accuracy	8.332435975151599	(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
accuracy	0.0546875	(fma.f64 (/.f64 x y) x x)
accuracy	32.16761523088934	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))

Samples

40.0ms

256×

valid

Compiler

Compiled 163 to 37 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 19.0ms (64.7% of total)

ival-div: 8.0ms (27.2% of total)

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

ival-add: 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)

series11.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

10 → 58

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)
(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
(/.f64 y (-.f64 x y))
(-.f64 x y)
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 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)
-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)
(- (/ x y) 1)
(* 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 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 (+ 1 (* -1 (/ y x))))
(* x (- (/ 1 y) (/ 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 (- (/ 1 x) (/ 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))))))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* x y) (pow x 2)) y)
(* 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))
(/ (+ x (* -1 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))))))
(+ x (/ (pow x 2) y))
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(+ (* -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
4.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2) (/ (* x 2) (/ (- x y) y)) (/ (- x y) y))
2.0ms	x	@	inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2) (/ (* x 2) (/ (- x y) y)) (/ (- x y) y))
1.0ms	y	@	-inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2) (/ (* x 2) (/ (- x y) y)) (/ (- x y) y))
1.0ms	x	@	0	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2) (/ (* x 2) (/ (- x y) y)) (/ (- x y) y))
1.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y) (* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2) (/ (* x 2) (/ (- x y) y)) (/ (- x y) y))

simplify508.0ms (9.1%)

Memory

-31.1MiB live, 169.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	694
1	695	676
2	1977	621
3	6398	611
0	8309	558

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

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

rewrite152.0ms (2.7%)

Memory

37.0MiB live, 230.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	69
0	28	69
1	98	69
2	651	69
3	7611	69
0	8174	69

Stop Event

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

Counts

10 → 965

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)
(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
(/.f64 y (-.f64 x y))
(-.f64 x y)
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 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 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (/.f64 x y) x)) x) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))
(.f64 (/.f64 (.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 (/.f64 x y) x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 (/.f64 x y) x)) x) (-.f64 (.f64 (-.f64 x (.f64 (/.f64 x y) x)) x) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) #s(literal -2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) #s(literal -2 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 x y) x x))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 x)) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)) (neg.f64 x))
(.f64 (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (.f64 x (/.f64 (-.f64 x y) y)) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 #s(literal -2 binary64) x))
(.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x (/.f64 (-.f64 x y) y))))
(.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 x (/.f64 (-.f64 x y) y)) #s(literal -1 binary64)) #s(literal -2 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.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))))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) #s(literal -1 binary64)) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 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 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 x y) y))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) x)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))
(/.f64 (.f64 (.f64 x (-.f64 x (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x))) #s(literal -2 binary64)) (-.f64 x (.f64 (/.f64 x y) x)))
(/.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)))) #s(literal -2 binary64)) (fma.f64 (neg.f64 x) (/.f64 x y) x))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -2 binary64)) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (-.f64 x (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x)))) (-.f64 x (.f64 (/.f64 x y) x)))
(/.f64 (.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 x) (/.f64 x y) x))
(/.f64 (.f64 #s(literal -2 binary64) (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64))) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))) (-.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)))) (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) (-.f64 (.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64))) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))))
(/.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) #s(literal -2 binary64))) (fma.f64 (neg.f64 x) (/.f64 x y) x))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #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)))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 x (/.f64 (-.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 (-.f64 x y) y)) (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) #s(literal -2 binary64))))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)))
(neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x) (.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal -2 binary64) x) (/.f64 x y) (.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)))
(fma.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64) (.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 (/.f64 x y) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -2 binary64) x (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)))
(fma.f64 (/.f64 x y) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)))
(fma.f64 x (.f64 (/.f64 x y) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal -2 binary64) (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)))
(-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) x #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) x))
(-.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) x))
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(fma.f64 (/.f64 x y) #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (*.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) y))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (*.f64 y (/.f64 #s(literal -1 binary64) y)))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) y))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x y))))
(-.f64 (/.f64 y (.f64 (/.f64 y x) y)) (/.f64 (.f64 (/.f64 y x) y) (*.f64 (/.f64 y x) y)))
(-.f64 (/.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 y) y)) (/.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (.f64 y x) (.f64 y y)) (/.f64 (.f64 y y) (.f64 y y)))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) y)) (/.f64 (.f64 y y) (.f64 (+.f64 y x) y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) y)))
(-.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) y) (/.f64 (.f64 y (/.f64 y (+.f64 y x))) y))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) y) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) y))
(-.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 y x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) y))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x y))) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))) (/.f64 x y))
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)) (/.f64 x y))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) (*.f64 y (/.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 x y) (*.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) y))
(+.f64 (/.f64 x y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)))
(+.f64 (/.f64 x y) #s(literal -1 binary64))

eval105.0ms (1.9%)

Memory: -17.0MiB live, 218.4MiB allocated
Compiler: Compiled 21 017 to 2 683 computations (87.2% saved)

prune19.0ms (0.3%)

Memory

23.0MiB live, 61.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	934	0	934
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	934	7	941

Accuracy

100.0%

Counts

941 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.1%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
✓	87.0%	(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
✓	88.9%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
✓	49.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	50.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	50.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
✓	50.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 223 to 103 computations (53.8% saved)

regimes13.0ms (0.2%)

Memory

-11.8MiB live, 27.4MiB allocated

Counts

11 → 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))
#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 #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))

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

Calls

3 calls:

5.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	3	`x`
99.9%	3	`y`
99.4%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

6 → 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))
#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 #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))

Outputs

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
96.2%	3	`y`
98.0%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

-24.0MiB live, 15.2MiB 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))
#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(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 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
2.0ms	y

Results

Accuracy	Segments	Branch
79.7%	3	`y`
63.6%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
81.1%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB 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))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

2 → 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))

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:

1.0ms

Results

Accuracy	Segments	Branch
80.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB 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	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
1.0ms	y
1.0ms	x

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch48.0ms (0.9%)

Memory

-11.5MiB live, 39.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
41.0ms	8.246633197715445e+54	1.5473822233623185e+56
5.0ms	-1.2939089855114641e-13	-2.6232349387056218e-15

Samples

8.0ms

176×

valid

Compiler

Compiled 210 to 188 computations (10.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (46.3% of total)

ival-sub: 1.0ms (23.2% of total)

ival-div: 1.0ms (23.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.6%)

Memory

-13.8MiB live, 22.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	8.24138686871426e-181	2.0754655985972015e-176
5.0ms	-3.884023433947239e-151	-2.1128806787791174e-151

Samples

9.0ms

192×

valid

Compiler

Compiled 336 to 264 computations (21.4% saved)

Precisions

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

ival-mult: 2.0ms (42.7% of total)

ival-sub: 1.0ms (21.4% of total)

ival-div: 1.0ms (21.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.4%)

Memory

25.8MiB live, 25.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5542638028829189.0	6.251551773780918e+27
8.0ms	-5.717108269762687e-22	-4.7052843760547546e-23

Samples

12.0ms

256×

valid

Compiler

Compiled 558 to 416 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (48.2% of total)

ival-sub: 1.0ms (16.1% of total)

ival-div: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5542638028829189.0	6.251551773780918e+27
1.0ms	-5.717108269762687e-22	-4.7052843760547546e-23

Compiler

Compiled 478 to 384 computations (19.7% saved)

bsearch14.0ms (0.2%)

Memory

-25.4MiB live, 11.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5542638028829189.0	6.251551773780918e+27
1.0ms	-5.717108269762687e-22	-4.7052843760547546e-23

Samples

4.0ms

80×

valid

Compiler

Compiled 428 to 364 computations (15% saved)

Precisions

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

ival-mult: 1.0ms (51.5% 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)

simplify110.0ms (2%)

Memory

13.5MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	220
1	70	220
2	94	220
3	119	220
4	141	220
5	209	220
6	419	220
7	2303	220
8	7321	220

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -6338253001141147/633825300114114700748351602688 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 11200000000000000604639358994727160263120349413309939712 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (<=.f64 x #s(literal -8550383618736305/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 4146346033295051/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (<=.f64 x #s(literal -8932412131674635/42535295865117307932921825928971026432 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 620000000000000000 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 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))))
(if (<=.f64 x #s(literal -8932412131674635/42535295865117307932921825928971026432 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 620000000000000000 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))))
(if (<=.f64 x #s(literal -8932412131674635/42535295865117307932921825928971026432 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 220000000000000000 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 -6338253001141147/633825300114114700748351602688 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 11200000000000000604639358994727160263120349413309939712 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (or (<=.f64 x #s(literal -6338253001141147/633825300114114700748351602688 binary64)) (not (<=.f64 x #s(literal 11200000000000000604639358994727160263120349413309939712 binary64)))) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)))
(if (<=.f64 x #s(literal -8550383618736305/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 4146346033295051/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (or (<=.f64 x #s(literal -8550383618736305/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (not (<=.f64 x #s(literal 4146346033295051/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)))) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)))
(if (<=.f64 x #s(literal -8932412131674635/42535295865117307932921825928971026432 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 620000000000000000 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 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))))
(if (<=.f64 x #s(literal -8932412131674635/42535295865117307932921825928971026432 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 620000000000000000 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))))
(if (<=.f64 x #s(literal -8932412131674635/42535295865117307932921825928971026432 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 220000000000000000 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 (or (<=.f64 x #s(literal -8932412131674635/42535295865117307932921825928971026432 binary64)) (not (<=.f64 x #s(literal 220000000000000000 binary64)))) #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) x))

soundness551.0ms (9.8%)

Memory

-9.5MiB live, 354.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	40	20
2	250	20
3	2753	20
0	9283	20
0	136	337
1	378	323
2	1027	303
3	3113	297
4	6493	297
0	8219	268

Stop Event

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

Compiler

Compiled 333 to 134 computations (59.8% saved)

preprocess103.0ms (1.8%)

Memory: -6.1MiB live, 70.8MiB allocated
Compiler: Compiled 528 to 156 computations (70.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze12.0ms (0.2%)

sample1.1s (20.5%)

explain228.0ms (4.1%)

preprocess199.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify58.0ms (1%)

localize24.0ms (0.4%)

series21.0ms (0.4%)

simplify254.0ms (4.5%)

rewrite563.0ms (10%)

eval159.0ms (2.8%)

prune11.0ms (0.2%)

simplify204.0ms (3.6%)

localize74.0ms (1.3%)

series25.0ms (0.4%)

simplify161.0ms (2.9%)

rewrite364.0ms (6.5%)

eval143.0ms (2.5%)

prune55.0ms (1%)

simplify141.0ms (2.5%)

localize51.0ms (0.9%)

series11.0ms (0.2%)

simplify508.0ms (9.1%)

rewrite152.0ms (2.7%)

eval105.0ms (1.9%)

prune19.0ms (0.3%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch48.0ms (0.9%)

bsearch34.0ms (0.6%)

bsearch24.0ms (0.4%)

bsearch2.0ms (0%)

bsearch14.0ms (0.2%)

simplify110.0ms (2%)

soundness551.0ms (9.8%)

preprocess103.0ms (1.8%)

end0.0ms (0%)

Profiling