Metrics for subtraction fraction

analyze16.0ms (0.3%)

Memory

-0.8MiB live, 30.6MiB 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 10 to 8 computations (20% saved)

sample600.0ms (11%)

Memory

54.5MiB live, 736.7MiB allocated

Samples

343.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-div: 54.0ms (29.3% of total)

ival-add: 44.0ms (23.9% of total)

ival-neg: 40.0ms (21.7% of total)

ival-sub: 38.0ms (20.6% of total)

ival-true: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess72.0ms (1.3%)

Memory

-11.0MiB live, 63.8MiB allocated

Algorithm

1×	egg-herbie

Rules

424×	`times-frac`
310×	`div-sub`
304×	`lower-fma.f64`
304×	`lower-fma.f32`
214×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	61	35
2	171	35
3	414	35
4	1172	35
5	1446	35
6	1503	35
7	1571	35
8	1628	35
0	6	8
0	10	8
1	21	8
2	41	8
3	78	7
4	163	7
5	307	7
6	610	7
7	722	7
8	754	7
9	770	7
10	771	7
0	771	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))

explain69.0ms (1.3%)

Memory

-5.7MiB live, 115.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(neg.f64 (+.f64 f n))`
-	-	`(+.f64 f n)`
-	-	`(-.f64 f n)`
-	-	`f`
-	-	`n`
-	-	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-add: 6.0ms (39.9% of total)

ival-sub: 3.0ms (19.9% of total)

ival-div: 3.0ms (19.9% of total)

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

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify46.0ms (0.8%)

Memory

-3.6MiB live, 35.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 f n)
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(neg.f64 (+.f64 f n))
✓	cost-diff	128	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
(-.f64 f n)

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (+.f64 f n))
(-.f64 (neg.f64 n) f)
(+.f64 f n)
f
n
(-.f64 f n)

localize19.0ms (0.3%)

Memory

25.2MiB live, 25.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(neg.f64 (+.f64 f n))
✓	accuracy	100.0%	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Samples

12.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

ival-div: 2.0ms (36.4% of total)

ival-sub: 1.0ms (18.2% of total)

ival-add: 1.0ms (18.2% of total)

ival-neg: 1.0ms (18.2% of total)

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

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

series5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())
#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())
#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt n (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (- f n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (- f n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (- f n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (* -1 (/ n f)))) (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (* -1 (/ n f)))) (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (* -1 (/ n f)))) (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (/ n f) 1))) (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (/ n f) 1))) (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (/ n f) 1))) (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f (* -1 n)) (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f (* -1 n)) (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f (* -1 n)) (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (- (/ f n) 1)) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (- (/ f n) 1)) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (- (/ f n) 1)) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (* -1 (/ f n))))) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (* -1 (/ f n))))) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (* -1 (/ f n))))) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	n	@	inf	(/ (neg (+ f n)) (- f n))
1.0ms	f	@	inf	(/ (neg (+ f n)) (- f n))
0.0ms	f	@	-inf	(/ (neg (+ f n)) (- f n))
0.0ms	f	@	0	(/ (neg (+ f n)) (- f n))
0.0ms	n	@	-inf	(/ (neg (+ f n)) (- f n))

simplify573.0ms (10.6%)

Memory

-22.7MiB live, 510.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
3 728×	`lower-*.f64`
3 728×	`lower-*.f32`
1 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))

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

rewrite219.0ms (4%)

Memory

16.7MiB live, 368.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 824×	`lower-*.f64`
2 824×	`lower-*.f32`
2 620×	`lower-/.f32`
2 618×	`lower-/.f64`
1 912×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	46	18
2	327	17
0	5530	17

Stop Event

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

Counts

4 → 572

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64)) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 f f)) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 n (+.f64 f n))))
(+.f64 (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 n (+.f64 f n))) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 f f)))
(+.f64 (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (.f64 n n))) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 f n)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(+.f64 (.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (.f64 (.f64 f f) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))) (.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))) (.f64 (.f64 f f) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (.f64 (fma.f64 f f (.f64 n n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))) (.f64 (.f64 f n) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))) (.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(+.f64 (.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))) (.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (.f64 n n) (-.f64 f n)) (-.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (neg.f64 f) (-.f64 f n)) (/.f64 n (-.f64 f n)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 (.f64 f f) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 (.f64 f f) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
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(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (.f64 (+.f64 f n) (-.f64 f n))) (.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 f n)))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (.f64 (+.f64 f n) (-.f64 n f))) (.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (neg.f64 f) n)))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f)) (.f64 (.f64 n (-.f64 n f)) (.f64 (.f64 n (-.f64 n f)) (.f64 n (-.f64 n f)))))) (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (fma.f64 f (.f64 f (.f64 f f)) (.f64 (.f64 n (-.f64 n f)) (-.f64 (.f64 n (-.f64 n f)) (*.f64 f f))))))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (.f64 (fma.f64 f f (.f64 n (-.f64 n f))) (-.f64 (.f64 f f) (.f64 n (-.f64 n f))))) (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (-.f64 (.f64 f f) (.f64 n (-.f64 n f)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 f n) (-.f64 n f))) (-.f64 (neg.f64 f) n))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n))))) (fma.f64 f f (.f64 n (+.f64 f n))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (neg.f64 (fma.f64 f f (.f64 n (+.f64 f n)))))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f f (.f64 n (-.f64 n f)))) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (neg.f64 (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (neg.f64 (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (neg.f64 (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal -1 binary64)) (-.f64 (neg.f64 f) n))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (+.f64 f n))
(/.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (.f64 (/.f64 (+.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (fma.f64 f f (.f64 n (+.f64 f n))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 f (.f64 f f)) (fma.f64 f f (.f64 n (+.f64 f n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 n (.f64 n n)) (fma.f64 f f (.f64 n (+.f64 f n)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 f (.f64 f f)) (fma.f64 f f (.f64 n (+.f64 f n)))) (/.f64 (.f64 f (.f64 f f)) (fma.f64 f f (.f64 n (+.f64 f n)))) (fma.f64 (/.f64 (.f64 n (.f64 n n)) (fma.f64 f f (.f64 n (+.f64 f n)))) (/.f64 (.f64 n (.f64 n n)) (fma.f64 f f (.f64 n (+.f64 f n)))) (.f64 (/.f64 (.f64 f (.f64 f f)) (fma.f64 f f (.f64 n (+.f64 f n)))) (/.f64 (.f64 n (.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 f f) (+.f64 f n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 n n) (+.f64 f n)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 f f) (+.f64 f n)) (/.f64 (.f64 f f) (+.f64 f n)) (fma.f64 (/.f64 (.f64 n n) (+.f64 f n)) (/.f64 (.f64 n n) (+.f64 f n)) (.f64 (/.f64 (.f64 f f) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 f (.f64 f f)) (fma.f64 f f (.f64 n (+.f64 f n)))) (/.f64 (.f64 f (.f64 f f)) (fma.f64 f f (.f64 n (+.f64 f n))))) (.f64 (/.f64 (.f64 n (.f64 n n)) (fma.f64 f f (.f64 n (+.f64 f n)))) (/.f64 (.f64 n (.f64 n n)) (fma.f64 f f (.f64 n (+.f64 f n)))))) (fma.f64 f (/.f64 (.f64 f f) (fma.f64 f f (.f64 n (+.f64 f n)))) (/.f64 (.f64 n (.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 f f) (+.f64 f n)) (/.f64 (.f64 f f) (+.f64 f n))) (.f64 (/.f64 (.f64 n n) (+.f64 f n)) (/.f64 (.f64 n n) (+.f64 f n)))) (fma.f64 f (/.f64 f (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n))))
(/.f64 (.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (fma.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f)) (.f64 (.f64 n (-.f64 n f)) (.f64 (.f64 n (-.f64 n f)) (.f64 n (-.f64 n f)))))) (fma.f64 f (.f64 f (.f64 f f)) (.f64 (.f64 n (-.f64 n f)) (-.f64 (.f64 n (-.f64 n f)) (.f64 f f)))))
(/.f64 (.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (.f64 (fma.f64 f f (.f64 n (-.f64 n f))) (-.f64 (.f64 f f) (.f64 n (-.f64 n f))))) (-.f64 (.f64 f f) (*.f64 n (-.f64 n f))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 f (.f64 f f)) (.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f)))) (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (.f64 n (+.f64 f n))))) (fma.f64 f (.f64 (.f64 f f) (.f64 f (.f64 f f))) (.f64 (.f64 n (.f64 n n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))))
(/.f64 (.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (.f64 n (+.f64 f n))))) (fma.f64 f (.f64 f f) (.f64 n (*.f64 n n))))
(/.f64 (.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 f (.f64 f (.f64 f f)) (.f64 (.f64 n n) (fma.f64 f f (.f64 n n)))))
(/.f64 (.f64 (.f64 (fma.f64 f f (.f64 n n)) (.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 f f (*.f64 n n)))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1 binary64)) (+.f64 f n))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal -1 binary64))
(*.f64 (+.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
(*.f64 (-.f64 f n) #s(literal 1 binary64))
(.f64 (fma.f64 f f (.f64 n (-.f64 n f))) (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))))
(.f64 (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (.f64 n (+.f64 f n)))))
(.f64 (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (.f64 n (+.f64 f n)))) #s(literal 1 binary64)))
(.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (/.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f f (.f64 n (+.f64 f n))))))
(*.f64 #s(literal 1 binary64) (-.f64 f n))
(*.f64 #s(literal -1 binary64) (-.f64 n f))
(.f64 (.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(.f64 (.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 f n) (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 f n)))
(.f64 (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 f f (.f64 n (+.f64 f n))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) (.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 f n))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (.f64 n (+.f64 f n)))) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (fma.f64 f f (.f64 n (-.f64 n f))))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (/.f64 (fma.f64 f f (.f64 n (-.f64 n f))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(.f64 (/.f64 (+.f64 f n) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (/.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(*.f64 (/.f64 (+.f64 f n) #s(literal 1 binary64)) (/.f64 (-.f64 f n) (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) #s(literal -1 binary64)) (/.f64 (-.f64 n f) (+.f64 f n)))
(.f64 (/.f64 (+.f64 f n) (.f64 (/.f64 (+.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (/.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (neg.f64 (fma.f64 f f (.f64 n (-.f64 n f)))))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n))) (-.f64 n f))
(.f64 (/.f64 (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))) (fma.f64 (.f64 n (.f64 n n)) (.f64 (+.f64 f n) (.f64 (+.f64 f n) (+.f64 f n))) (.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f))))) (fma.f64 (.f64 n (+.f64 f n)) (-.f64 (.f64 n (+.f64 f n)) (.f64 f f)) (.f64 f (.f64 f (.f64 f f)))))
(.f64 (/.f64 (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 (.f64 f f) (.f64 n (+.f64 f n))))) (-.f64 (.f64 f f) (*.f64 n (+.f64 f n))))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (neg.f64 (fma.f64 f f (.f64 n (-.f64 n f)))))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (neg.f64 (.f64 (+.f64 f n) (.f64 (+.f64 f n) (+.f64 f n))))) (*.f64 (+.f64 f n) (+.f64 f n)))

eval77.0ms (1.4%)

Memory: -10.7MiB live, 197.7MiB allocated
Compiler: Compiled 16 019 to 1 649 computations (89.7% saved)

prune122.0ms (2.2%)

Memory

-25.6MiB live, 209.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	651	8	659
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	652	8	660

Accuracy

100.0%

Counts

660 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
	53.1%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶	48.3%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶	47.9%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)))
	48.8%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
▶	53.1%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
	51.9%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶	47.2%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 136 to 82 computations (39.7% saved)

simplify317.0ms (5.8%)

Memory

24.7MiB live, 184.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64))
✓	cost-diff	(/.f64 n f)
✓	cost-diff	(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
✓	cost-diff	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)))
✓	cost-diff	(+.f64 f f)
✓	cost-diff	(/.f64 (+.f64 f f) n)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓	cost-diff	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	cost-diff	(-.f64 f n)
✓	cost-diff	(neg.f64 f)
✓	cost-diff	#s(approx (neg (+ f n)) (neg.f64 f))
✓	cost-diff	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	cost-diff	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
✓	cost-diff	(-.f64 n f)
✓	cost-diff	(+.f64 f n)
✓	cost-diff	(/.f64 (+.f64 f n) (-.f64 n f))

Rules

3 464×	`lower-fma.f32`
3 460×	`lower-fma.f64`
1 760×	`lower-*.f64`
1 760×	`lower-*.f32`
1 240×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	132
0	41	132
1	71	132
2	145	129
3	245	129
4	425	129
5	915	129
6	3228	129
7	5057	129
8	5876	129
9	6117	129
10	6299	129
11	6501	129
12	6570	129
13	6922	129
14	7074	129
15	7074	129
16	7074	129
17	7185	129
18	7205	129
19	7213	129
20	7213	129
0	7213	127

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize115.0ms (2.1%)

Memory

-21.7MiB live, 132.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) f)
✓	accuracy	99.9%	(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.8%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64))
✓	accuracy	47.9%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 f f) n)
✓	accuracy	100.0%	(+.f64 f f)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓	accuracy	53.1%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(neg.f64 f)
✓	accuracy	100.0%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	accuracy	48.1%	#s(approx (neg (+ f n)) (neg.f64 f))
✓	accuracy	47.2%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))

Samples

48.0ms

256×

valid

Compiler

Compiled 109 to 23 computations (78.9% saved)

Precisions

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

ival-div: 8.0ms (26.3% of total)

ival-add: 8.0ms (26.3% of total)

ival-neg: 8.0ms (26.3% of total)

ival-mult: 3.0ms (9.8% of total)

ival-sub: 2.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Memory

38.1MiB live, 38.1MiB allocated

Counts

17 → 372

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())
#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())
#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())
#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #<representation binary64>) () ())
#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())
#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())
#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())
#s(alt #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())
#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())
#s(alt #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 n f) (patch (/.f64 n f) #<representation binary64>) () ())
#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt n (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt n (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor inf f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) (taylor inf f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) (taylor inf f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor -inf f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) (taylor -inf f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) (taylor -inf f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor inf n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) (taylor inf n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) (taylor inf n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -2 (/ n f)) (taylor inf n) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))) (taylor inf n) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))) (taylor inf n) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))) (taylor inf n) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ n f)) (taylor -inf n) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))) (taylor -inf n) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))) (taylor -inf n) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))) (taylor -inf n) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ n f)) (taylor 0 f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 f) (* -2 n)) f) (taylor 0 f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 f) (* -2 n)) f) (taylor 0 f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 f) (* -2 n)) f) (taylor 0 f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor inf f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 2) (taylor inf f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 2) (taylor inf f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 2) (taylor inf f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor -inf f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 2) (taylor -inf f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 2) (taylor -inf f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 2) (taylor -inf f) (#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor 0 f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor 0 f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor 0 f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor 0 f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor inf f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor inf f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor inf f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor inf f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor -inf f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor -inf f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor -inf f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())
#s(alt (/ -2 f) (taylor -inf f) (#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(+ f f)
1.0ms	n	@	inf	(/ (+ f n) (- n f))
1.0ms	n	@	0	(+ 1 (/ (+ f f) n))
0.0ms	n	@	inf	(+ (* (/ n f) (+ (* n (/ -2 f)) -2)) -1)
0.0ms	f	@	inf	(/ (+ f f) n)

simplify477.0ms (8.8%)

Memory

-38.8MiB live, 685.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 236×	`lower-fma.f64`
14 236×	`lower-fma.f32`
3 116×	`lower-*.f64`
3 116×	`lower-*.f32`
2 780×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	2908
1	777	2627
2	2461	2374
3	6989	2374
0	8220	2174

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 360

Calls

Call 1

Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* 2 (/ f n))
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(* -2 (/ (pow n 2) (pow f 2)))
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* -2 (/ (pow n 2) (pow f 2)))
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* -2 (/ (pow n 2) (pow f 2)))
(/ (+ (* -2 (* f n)) (* -2 (pow n 2))) (pow f 2))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
-1
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f)) 1)
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f)) 1)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
-2
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -2 (/ n f))
(/ (+ (* -2 f) (* -2 n)) f)
(/ (+ (* -2 f) (* -2 n)) f)
(/ (+ (* -2 f) (* -2 n)) f)
-2
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
-2
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)

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

rewrite472.0ms (8.7%)

Memory

19.8MiB live, 524.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 590×	`lower-/.f32`
5 580×	`lower-/.f64`
4 634×	`lower-*.f64`
4 634×	`lower-*.f32`
3 606×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	120
0	41	120
1	174	120
2	1423	120
0	8757	118

Stop Event

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

Counts

17 → 521

Calls

Call 1

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

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

eval364.0ms (6.7%)

Memory: -9.2MiB live, 282.3MiB allocated
Compiler: Compiled 14 603 to 1 522 computations (89.6% saved)

prune101.0ms (1.9%)

Memory

9.0MiB live, 250.8MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	878	3	881
Fresh	2	1	3
Picked	0	5	5
Done	0	0	0
Total	880	9	889

Accuracy

100.0%

Counts

889 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	48.0%	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
▶	53.1%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	48.3%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶	48.8%	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
▶	51.9%	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
✓	47.9%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)))
✓	53.1%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	47.2%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 78 to 46 computations (41% saved)

simplify70.0ms (1.3%)

Memory

13.2MiB live, 54.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(neg.f64 f)
✓	cost-diff	#s(approx (- n f) (neg.f64 f))
✓	cost-diff	(+.f64 f n)
✓	cost-diff	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
✓	cost-diff	(-.f64 f n)
✓	cost-diff	(neg.f64 n)
✓	cost-diff	#s(approx (neg (+ f n)) (neg.f64 n))
✓	cost-diff	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	cost-diff	(+.f64 n n)
✓	cost-diff	(/.f64 (+.f64 n n) f)
✓	cost-diff	(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
✓	cost-diff	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
✓	cost-diff	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))

Rules

960×	`lower-fma.f64`
960×	`lower-fma.f32`
560×	`lower-*.f64`
560×	`lower-*.f32`
384×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	91
0	30	91
1	46	91
2	76	91
3	138	91
4	236	91
5	405	91
6	807	91
7	1544	91
8	2088	91
9	2183	91
10	2253	91
11	2306	91
0	2306	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
#s(literal -1 binary64)
(/.f64 (+.f64 n n) f)
(+.f64 n n)
n
f
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
(+.f64 f n)
f
n
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)

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

localize85.0ms (1.6%)

Memory

-17.8MiB live, 59.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(neg.f64 f)
✓	accuracy	100.0%	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
✓	accuracy	48.2%	#s(approx (- n f) (neg.f64 f))
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(neg.f64 n)
✓	accuracy	100.0%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	accuracy	52.9%	#s(approx (neg (+ f n)) (neg.f64 n))
✓	accuracy	100.0%	(/.f64 (+.f64 n n) f)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
✓	accuracy	100.0%	(+.f64 n n)
✓	accuracy	48.8%	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
✓	accuracy	51.9%	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))

Samples

68.0ms

256×

valid

Compiler

Compiled 71 to 17 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-sub: 44.0ms (77.2% of total)

ival-div: 5.0ms (8.8% of total)

ival-neg: 5.0ms (8.8% of total)

ival-add: 3.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

13 → 276

Calls

Call 1

Inputs
#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) (patch (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())
#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) #<representation binary64>) () ())
#s(alt #s(approx (neg (+ f n)) (neg.f64 n)) (patch #s(approx (neg (+ f n)) (neg.f64 n)) #<representation binary64>) () ())
#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())
#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())
#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())
#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())
#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) (taylor inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) (taylor inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor -inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) (taylor -inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) (taylor -inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 n) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf n) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor inf n) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) (taylor inf n) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) (taylor inf n) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt n (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (- n f) (taylor 0 n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (- n f) (taylor 0 n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (- n f) (taylor 0 n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt n (taylor inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor inf f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor -inf f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor inf f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor inf f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor inf f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor inf f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor -inf f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor -inf f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor -inf f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor -inf f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())

Calls

69 calls:

Time	Variable		Point	Expression
0.0ms	n	@	inf	(/ (+ n n) f)
0.0ms	n	@	-inf	(/ (+ n n) f)
0.0ms	n	@	inf	(+ n n)
0.0ms	f	@	0	(- -1 (/ (+ n n) f))
0.0ms	n	@	0	(- -1 (/ (+ n n) f))

simplify322.0ms (5.9%)

Memory

-14.6MiB live, 463.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 124×	`lower-fma.f64`
12 124×	`lower-fma.f32`
2 664×	`lower-*.f64`
2 664×	`lower-*.f32`
2 230×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	2044
1	671	1830
2	2164	1658
3	6085	1658
0	8124	1504

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 264

Calls

Call 1

Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(/ (- (* -1 f) (* 2 n)) f)
(/ (- (* -1 f) (* 2 n)) f)
(/ (- (* -1 f) (* 2 n)) f)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)

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

rewrite63.0ms (1.2%)

Memory

-0.1MiB live, 77.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

530×	`lower-/.f32`
524×	`lower-/.f64`
372×	`lower-*.f64`
372×	`lower-*.f32`
226×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	83
0	30	83
1	114	83
0	884	81

Stop Event

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

Counts

13 → 163

Calls

Call 1

Inputs
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(/.f64 (+.f64 n n) f)
(+.f64 n n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
(+.f64 f n)
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)

Outputs
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(+.f64 (/.f64 (+.f64 n n) f) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 n n) f) (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 (+.f64 n n) f) (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (*.f64 f f))) (fma.f64 (/.f64 (+.f64 n n) f) (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (.f64 f f)) (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 n n) f) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f) #s(literal -1 binary64))
(fma.f64 (+.f64 n n) (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64))
(fma.f64 (+.f64 n n) (/.f64 #s(literal 1 binary64) (neg.f64 f)) #s(literal -1 binary64))
(fma.f64 (+.f64 n n) (neg.f64 (/.f64 #s(literal 1 binary64) f)) #s(literal -1 binary64))
(fma.f64 (/.f64 (+.f64 n n) f) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) f) (+.f64 n n) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) f)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 n n) f) (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 n n) f) (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (*.f64 f f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (.f64 f f)))))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 n n) f) (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (*.f64 f f)))) (fma.f64 (/.f64 (+.f64 n n) f) (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (.f64 f f))) (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 n n) f) (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (*.f64 f f))))) (neg.f64 (fma.f64 (/.f64 (+.f64 n n) f) (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (.f64 f f)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 n n) f) (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (.f64 f f)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (*.f64 f f)) (/.f64 (+.f64 n n) f))))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 n n) f) (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (.f64 f f)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 n n) f) (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 n n) (+.f64 n n)) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n n) f))
(neg.f64 (/.f64 (+.f64 n n) f))
(/.f64 #s(literal 1 binary64) (*.f64 f (+.f64 n n)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 f (+.f64 n n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 n n)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 f (+.f64 n n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 f (+.f64 n n))))
(/.f64 (+.f64 n n) f)
(/.f64 (+.f64 n n) (neg.f64 f))
(/.f64 (+.f64 n n) (neg.f64 (neg.f64 f)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) f))
(/.f64 #s(literal 0 binary64) (*.f64 f #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) (.f64 f (fma.f64 n n #s(literal 0 binary64))))
(/.f64 (*.f64 (+.f64 n n) #s(literal 1 binary64)) f)
(/.f64 (.f64 (.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) #s(literal 1 binary64)) (*.f64 (fma.f64 n n #s(literal 0 binary64)) f))
(/.f64 (.f64 (.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) (/.f64 #s(literal 1 binary64) f)) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) f)) #s(literal 0 binary64))
(/.f64 (/.f64 (+.f64 n n) #s(literal -1 binary64)) f)
(pow.f64 (*.f64 f (+.f64 n n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 n n) f))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(*.f64 (+.f64 n n) (/.f64 #s(literal 1 binary64) f))
(*.f64 (+.f64 n n) (/.f64 #s(literal 1 binary64) (neg.f64 f)))
(*.f64 (+.f64 n n) (neg.f64 (/.f64 #s(literal 1 binary64) f)))
(*.f64 (/.f64 (+.f64 n n) f) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) f) (+.f64 n n))
(.f64 #s(literal 2 binary64) (.f64 n (/.f64 #s(literal 1 binary64) f)))
(*.f64 #s(literal 2 binary64) (/.f64 n f))
(+.f64 n n)
(+.f64 (neg.f64 n) (neg.f64 n))
(-.f64 #s(literal 0 binary64) (+.f64 n n))
(-.f64 (/.f64 (.f64 n n) #s(literal 0 binary64)) (/.f64 (.f64 n n) #s(literal 0 binary64)))
(fma.f64 n #s(literal -1 binary64) (neg.f64 n))
(fma.f64 #s(literal -1 binary64) n (neg.f64 n))
(neg.f64 (+.f64 n n))
(/.f64 #s(literal 1 binary64) (+.f64 n n))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n n #s(literal 0 binary64)) (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) (neg.f64 (fma.f64 n n #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))) (neg.f64 (fma.f64 n n #s(literal 0 binary64))))
(*.f64 n #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 n n))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) n)
(*.f64 #s(literal 2 binary64) (neg.f64 n))
(*.f64 #s(literal -2 binary64) n)
(neg.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (neg.f64 (-.f64 f n))))
(neg.f64 (/.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (-.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n)))))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n)))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (*.f64 #s(approx (neg (+ f n)) (neg.f64 n)) #s(literal 1 binary64)) (-.f64 f n))
(pow.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(*.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 f n))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(approx (neg (+ f n)) (neg.f64 n)))
(.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (.f64 (fma.f64 n (+.f64 f n) (.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 f n) (.f64 f f)))
(.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(+.f64 #s(literal 0 binary64) (neg.f64 n))
(-.f64 #s(literal 0 binary64) n)
(neg.f64 n)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n))) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n n)) (+.f64 #s(literal 0 binary64) n))
(*.f64 n #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) n)
(+.f64 f (neg.f64 n))
(+.f64 (neg.f64 n) f)
(-.f64 f n)
(-.f64 (/.f64 (.f64 f (.f64 f f)) (fma.f64 n (+.f64 f n) (.f64 f f))) (/.f64 (.f64 n (.f64 n n)) (fma.f64 n (+.f64 f n) (.f64 f f))))
(-.f64 (/.f64 (.f64 f f) (+.f64 f n)) (/.f64 (.f64 n n) (+.f64 f n)))
(-.f64 (+.f64 f #s(literal 0 binary64)) n)
(fma.f64 n #s(literal -1 binary64) f)
(fma.f64 #s(literal -1 binary64) n f)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (+.f64 f n) (.f64 f f)) (.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (.f64 (fma.f64 n (+.f64 f n) (.f64 f f)) (-.f64 f n)) (fma.f64 n (+.f64 f n) (*.f64 f f)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 f n))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (-.f64 (neg.f64 n) f))
(/.f64 (neg.f64 (.f64 (fma.f64 n (+.f64 f n) (.f64 f f)) (-.f64 f n))) (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f))))
(/.f64 (fma.f64 f (.f64 f f) (pow.f64 (neg.f64 n) #s(literal 3 binary64))) (fma.f64 f f (-.f64 (.f64 (neg.f64 n) (neg.f64 n)) (*.f64 f (neg.f64 n)))))
(/.f64 (-.f64 (.f64 f f) (.f64 (neg.f64 n) (neg.f64 n))) (-.f64 f (neg.f64 n)))
(.f64 (.f64 (fma.f64 n (+.f64 f n) (.f64 f f)) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (.f64 f f))))
(.f64 (.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (-.f64 f n))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (fma.f64 n (-.f64 n f) (.f64 f f)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- n f) (neg.f64 f)))) (/.f64 (+.f64 f n) (neg.f64 #s(approx (- n f) (neg.f64 f)))))
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 #s(approx (- n f) (neg.f64 f)))))
(neg.f64 (/.f64 (-.f64 (neg.f64 n) f) #s(approx (- n f) (neg.f64 f))))
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- n f) (neg.f64 f)) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- n f) (neg.f64 f)) (+.f64 f n)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- n f) (neg.f64 f)) (+.f64 f n))))
(/.f64 (-.f64 (neg.f64 n) f) (neg.f64 #s(approx (- n f) (neg.f64 f))))
(/.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 #s(approx (- n f) (neg.f64 f)) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (.f64 #s(approx (- n f) (neg.f64 f)) (-.f64 f n)))
(/.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) #s(literal 1 binary64)) (.f64 (fma.f64 n (-.f64 n f) (.f64 f f)) #s(approx (- n f) (neg.f64 f))))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (*.f64 (-.f64 f n) #s(approx (- n f) (neg.f64 f))))
(/.f64 (neg.f64 (-.f64 (neg.f64 n) f)) (neg.f64 (neg.f64 #s(approx (- n f) (neg.f64 f)))))
(/.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64)) #s(approx (- n f) (neg.f64 f)))
(/.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (/.f64 #s(literal 1 binary64) #s(approx (- n f) (neg.f64 f)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) #s(approx (- n f) (neg.f64 f)))) (-.f64 f n))
(pow.f64 (/.f64 #s(approx (- n f) (neg.f64 f)) (+.f64 f n)) #s(literal -1 binary64))
(*.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) #s(approx (- n f) (neg.f64 f))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 f n) (neg.f64 #s(approx (- n f) (neg.f64 f)))))
(*.f64 (-.f64 (neg.f64 n) f) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- n f) (neg.f64 f)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (neg.f64 f))) (+.f64 f n))
(+.f64 f n)
(+.f64 n f)
(-.f64 (/.f64 (.f64 f f) (-.f64 f n)) (/.f64 (.f64 n n) (-.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (-.f64 n f) (.f64 f f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (fma.f64 n (-.f64 n f) (.f64 f f)))
(/.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (fma.f64 n n (-.f64 (.f64 f f) (*.f64 f n))))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n))
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 n f))
(/.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (neg.f64 (fma.f64 n (-.f64 n f) (.f64 f f))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (-.f64 f n)))
(.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(.f64 (.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (.f64 (fma.f64 n (+.f64 f n) (.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 f n) (*.f64 f f)))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
#s(approx (- n f) (neg.f64 f))
(+.f64 #s(literal 0 binary64) (neg.f64 f))
(-.f64 #s(literal 0 binary64) f)
(neg.f64 f)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 f (.f64 f f))) (+.f64 #s(literal 0 binary64) (fma.f64 f f (*.f64 #s(literal 0 binary64) f))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 f f)) (+.f64 #s(literal 0 binary64) f))
(*.f64 f #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) f)

eval44.0ms (0.8%)

Memory: 19.9MiB live, 93.5MiB allocated
Compiler: Compiled 4 738 to 448 computations (90.5% saved)

prune56.0ms (1%)

Memory

1.3MiB live, 90.8MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	427	0	427
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	427	9	436

Accuracy

100.0%

Counts

436 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	48.0%	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
✓	53.1%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	48.3%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	48.8%	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
✓	51.9%	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
✓	47.9%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)))
✓	53.1%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	47.2%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 157 to 73 computations (53.5% saved)

regimes14.0ms (0.2%)

Memory

-12.8MiB live, 24.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))

Calls

3 calls:

4.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
4.0ms	n
4.0ms	f

Results

Accuracy	Segments	Branch
100.0%	1	`f`
100.0%	1	`n`
100.0%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes11.0ms (0.2%)

Memory

-17.7MiB live, 21.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	f
3.0ms	n
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
82.2%	3	`f`
76.3%	3	`n`
98.9%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))

Outputs
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))

Calls

1 calls:

2.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))

Outputs
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))

Calls

1 calls:

2.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
97.7%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))

Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))

Calls

1 calls:

2.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
97.7%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))

Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))

Calls

1 calls:

2.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
97.6%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))

Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))

Calls

1 calls:

1.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
97.6%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Calls

3 calls:

1.0ms	n
1.0ms	f
1.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
47.2%	1	`n`
47.2%	1	`f`
47.2%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.830778663299806	0.7875532576290591

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.830778663299806	0.7875532576290591

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.830778663299806	0.7875532576290591

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.830778663299806	0.7875532576290591

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.830778663299806	0.7875532576290591

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch14.0ms (0.3%)

Memory

-22.3MiB live, 16.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-0.830778663299806	0.7875532576290591

Samples

5.0ms

240×

valid

Compiler

Compiled 163 to 131 computations (19.6% saved)

Precisions

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

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

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

simplify22.0ms (0.4%)

Memory

23.5MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Rules

124×	`unsub-neg_binary64`
120×	`distribute-lft-neg-in_binary64`
90×	`neg-mul-1_binary64`
62×	`neg-sub0_binary64`
58×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	224
1	59	224
2	73	224
3	84	218
4	98	218
5	126	218
6	146	218
7	182	218
8	229	218
9	248	218
10	269	218
11	294	218
12	335	218
13	384	218
14	427	218
15	466	218
16	481	218
17	484	218

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

soundness893.0ms (16.4%)

Memory

-8.5MiB live, 574.0MiB allocated

Rules

14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
14 236×	`lower-fma.f64`
14 236×	`lower-fma.f32`
3 728×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	2908
1	777	2627
2	2461	2374
3	6989	2374
0	8220	2174
0	6	18
0	10	18
1	46	18
2	327	17
0	5530	17
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432

Stop Event

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

Compiler

Compiled 279 to 113 computations (59.5% saved)

preprocess125.0ms (2.3%)

Memory: 7.1MiB live, 87.7MiB allocated
Compiler: Compiled 304 to 70 computations (77% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	43	224
1	59	224
2	73	224
3	84	218
4	98	218
5	126	218
6	146	218
7	182	218
8	229	218
9	248	218
10	269	218
11	294	218
12	335	218
13	384	218
14	427	218
15	466	218
16	481	218
17	484	218

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	43	224
1	59	224
2	73	224
3	84	218
4	98	218
5	126	218
6	146	218
7	182	218
8	229	218
9	248	218
10	269	218
11	294	218
12	335	218
13	384	218
14	427	218
15	466	218
16	481	218
17	484	218

analyze16.0ms (0.3%)

sample600.0ms (11%)

preprocess72.0ms (1.3%)

explain69.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify46.0ms (0.8%)

localize19.0ms (0.3%)

series5.0ms (0.1%)

simplify573.0ms (10.6%)

rewrite219.0ms (4%)

eval77.0ms (1.4%)

prune122.0ms (2.2%)

simplify317.0ms (5.8%)

localize115.0ms (2.1%)

series22.0ms (0.4%)

simplify477.0ms (8.8%)

rewrite472.0ms (8.7%)

eval364.0ms (6.7%)

prune101.0ms (1.9%)

simplify70.0ms (1.3%)

localize85.0ms (1.6%)

series10.0ms (0.2%)

simplify322.0ms (5.9%)

rewrite63.0ms (1.2%)

eval44.0ms (0.8%)

prune56.0ms (1%)

regimes14.0ms (0.2%)

regimes11.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.3%)

simplify22.0ms (0.4%)

soundness893.0ms (16.4%)

preprocess125.0ms (2.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	43	224
1	59	224
2	73	224
3	84	218
4	98	218
5	126	218
6	146	218
7	182	218
8	229	218
9	248	218
10	269	218
11	294	218
12	335	218
13	384	218
14	427	218
15	466	218
16	481	218
17	484	218