Metrics for subtraction fraction

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB 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)

sample608.0ms (9.5%)

Memory

39.0MiB live, 755.5MiB allocated

Samples

371.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-add: 73.0ms (33.8% of total)

ival-div: 53.0ms (24.5% of total)

ival-neg: 41.0ms (19% of total)

ival-sub: 40.0ms (18.5% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain67.0ms (1%)

Memory

-11.3MiB live, 112.5MiB 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

27.0ms

512×

valid

Compiler

Compiled 54 to 22 computations (59.3% saved)

Precisions

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

ival-neg: 6.0ms (39.1% of total)

ival-sub: 3.0ms (19.5% of total)

ival-div: 3.0ms (19.5% of total)

ival-add: 3.0ms (19.5% of total)

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

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

preprocess59.0ms (0.9%)

Memory

-16.2MiB live, 60.8MiB 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 n f) (-.f64 n f))

Compiler

Compiled 10 to 6 computations (40% saved)

eval1.0ms (0%)

Memory: 2.0MiB live, 2.0MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify20.0ms (0.3%)

Memory

20.0MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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 n f) (-.f64 n f))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(-.f64 f n)

localize20.0ms (0.3%)

Memory

-17.7MiB live, 20.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 f n)
accuracy	0	(+.f64 f n)
accuracy	0	(neg.f64 (+.f64 f n))
accuracy	0.04296875	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Samples

14.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

ival-div: 4.0ms (48.6% of total)

ival-sub: 1.0ms (12.1% of total)

ival-add: 1.0ms (12.1% of total)

ival-neg: 1.0ms (12.1% of total)

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

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

series6.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB 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 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 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 (* -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 -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 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 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 (* 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 -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 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 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 -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 -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 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 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 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 (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 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 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 (* -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 (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 -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 -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 -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

6 calls:

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

simplify255.0ms (4%)

Memory

28.0MiB live, 139.3MiB 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	1333	469
3	5177	459
0	8641	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 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
n
(+ f n)
(+ f n)
(+ f n)
(* -1 n)
(- f n)
(- f n)
(- f 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 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
-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 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ 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 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
f
(+ f n)
(+ f n)
(+ f n)
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
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 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
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 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* 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)
(* -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)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) n) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 (/.f64 f n) f f) (+.f64 f f)) n) #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 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 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
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)
-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 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 n n) f) n) (+.f64 n n)) f))
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
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)
-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 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 (+.f64 f f) n) (-.f64 (/.f64 f n) #s(literal -1 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 (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 (/.f64 f n) f f) (+.f64 f f)) n) #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
n
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* -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
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 (+.f64 f f) n) (-.f64 (/.f64 f n) #s(literal -1 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 (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 (/.f64 f n) f f) (+.f64 f f)) n) #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -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)

rewrite371.0ms (5.8%)

Memory

-43.5MiB live, 134.9MiB allocated

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

eval89.0ms (1.4%)

Memory: 39.2MiB live, 192.0MiB allocated
Compiler: Compiled 16 017 to 1 653 computations (89.7% saved)

prune97.0ms (1.5%)

Memory

-21.8MiB live, 224.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	649	10	659
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	650	10	660

Accuracy

100.0%

Counts

660 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (+.f64 n f) (-.f64 n f))
	50.8%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶	49.2%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶	100.0%	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
	55.3%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 f n) (+.f64 n f))) (*.f64 (+.f64 n f) (+.f64 n f)))
	51.5%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
▶	50.0%	#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
	51.5%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 (/.f64 f n) f f) (+.f64 f f)) n) #s(literal 1 binary64)))
	49.6%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶	48.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 218 to 118 computations (45.9% saved)

simplify53.0ms (0.8%)

Memory

1.5MiB live, 39.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 n f)
cost-diff	0	(+.f64 n f)
cost-diff	0	(/.f64 (+.f64 n f) (-.f64 n f))
cost-diff	0	(+.f64 n n)
cost-diff	0	(/.f64 (+.f64 n n) f)
cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
cost-diff	0	#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
cost-diff	0	(-.f64 f n)
cost-diff	0	(neg.f64 f)
cost-diff	0	#s(approx (neg (+ f n)) (neg.f64 f))
cost-diff	0	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
cost-diff	0	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
cost-diff	0	(-.f64 f n)
cost-diff	0	(neg.f64 n)
cost-diff	128	(/.f64 (neg.f64 n) (-.f64 f n))
cost-diff	896	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	115
0	36	120
1	58	120
2	105	107
3	205	107
4	355	107
5	629	107
6	1206	107
7	1607	107
8	1796	107
9	1853	107
10	1885	107
11	1894	107
0	1894	105

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize68.0ms (1.1%)

Memory

-5.2MiB live, 70.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 n f)
accuracy	0	(+.f64 n f)
accuracy	0.04296875	(/.f64 (+.f64 n f) (-.f64 n f))
accuracy	0	(/.f64 (+.f64 n n) f)
accuracy	0	(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
accuracy	0	(+.f64 n n)
accuracy	31.998198105558664	#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
accuracy	0	(-.f64 f n)
accuracy	0	(neg.f64 f)
accuracy	0.04296875	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy	32.58761579583992	#s(approx (neg (+ f n)) (neg.f64 f))
accuracy	33.21252907647556	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy	0	(neg.f64 n)
accuracy	0.0234375	(/.f64 (neg.f64 n) (-.f64 f n))
accuracy	0.03515625	(/.f64 f (-.f64 f n))
accuracy	0.03515625	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))

Samples

45.0ms

256×

valid

Compiler

Compiled 101 to 20 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-neg: 17.0ms (51.4% of total)

ival-div: 8.0ms (24.2% of total)

ival-sub: 4.0ms (12.1% of total)

ival-add: 3.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (0.6%)

Memory

-5.7MiB live, 35.1MiB allocated

Counts

16 → 348

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.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 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor 0 f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.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 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 0 f) (#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 (+ 1 (* 2 (/ f n))) (taylor 0 f) (#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 (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#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 (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#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 (* -1 n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (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 (taylor 0 f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<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)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n 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 #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ n f)) (taylor 0 f) (#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 (/ (- (* -1 f) (* 2 n)) f) (taylor 0 f) (#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 (/ (- (* -1 f) (* 2 n)) f) (taylor 0 f) (#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 (/ (- (* -1 f) (* 2 n)) f) (taylor 0 f) (#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 (* 2 (/ n f)) (taylor 0 f) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ n f)) (taylor 0 f) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ n f)) (taylor 0 f) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ n f)) (taylor 0 f) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.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 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#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 n)) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 1) (taylor inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1) (taylor inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1) (taylor inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ n f)) (taylor inf f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) (taylor inf f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f) (taylor inf f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f) (taylor inf f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.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 -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 (/.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 (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor inf f) (#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 (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) (taylor inf f) (#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 (- (+ (* -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 #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 (* -1 f) (taylor inf f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (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>) () ())) ())
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#s(alt (/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n) (taylor inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor -inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n))) (taylor -inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n))) (taylor -inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor -inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 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>) () ())) ())
#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 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) 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 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) 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 (/.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 (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor -inf n) (#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 (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) (taylor -inf n) (#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 (+ 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 #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 (* -1 n) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor -inf n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) (taylor -inf n) (#s(alt #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<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 #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ n f)) (taylor -inf n) (#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 (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) (taylor -inf n) (#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 (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) (taylor -inf n) (#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 (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) (taylor -inf n) (#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 (* 2 (/ n f)) (taylor -inf n) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ n f)) (taylor -inf n) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ n f)) (taylor -inf n) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ n f)) (taylor -inf n) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ())
#s(alt (* 2 n) (taylor -inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ())
#s(alt (* 2 n) (taylor -inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ())
#s(alt (* 2 n) (taylor -inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ())
#s(alt (* 2 n) (taylor -inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.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 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.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 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.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 (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (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 (* -1 (/ f n)) (taylor -inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ f (/ (pow f 2) n)) n)) (taylor -inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n)) (taylor -inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n)) (taylor -inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (- -1 (/ (+ n n) f)) (/ (+ n n) f) (+ n n) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms	f	@	inf	((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (- -1 (/ (+ n n) f)) (/ (+ n n) f) (+ n n) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms	n	@	0	((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (- -1 (/ (+ n n) f)) (/ (+ n n) f) (+ n n) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms	n	@	-inf	((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (- -1 (/ (+ n n) f)) (/ (+ n n) f) (+ n n) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms	f	@	0	((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (- -1 (/ (+ n n) f)) (/ (+ n n) f) (+ n n) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))

simplify168.0ms (2.6%)

Memory

35.3MiB live, 143.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 894×	`lower-fma.f64`
13 894×	`lower-fma.f32`
4 094×	`lower-*.f64`
4 094×	`lower-*.f32`
2 752×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	430	2906
1	1366	2807
2	4101	2555
0	8211	2315

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 336

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 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 n)
(- f n)
(- 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 (* 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 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 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)))))
(* -2 (/ n f))
(/ (- (* -1 f) (* 2 n)) f)
(/ (- (* -1 f) (* 2 n)) f)
(/ (- (* -1 f) (* 2 n)) f)
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ 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)))))
n
(+ f n)
(+ f n)
(+ f n)
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
-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))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
-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 (* -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 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
-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
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
-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))))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
1
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ 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
(- (* -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 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
-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)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n 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)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ 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 (/ n f))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
-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 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
-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
(- (* -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 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
-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
(- (* -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)
(* 2 n)
(* 2 n)
(* 2 n)
-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)
f
(+ f n)
(+ f n)
(+ f n)
(* -1 f)
(- n f)
(- n f)
(- n f)
1
(+ 1 (/ n f))
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 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 (/ (* 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 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 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)))))
(* -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))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
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)))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* -1 (/ f n))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ 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 (* -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 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ 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)))
(* -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))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
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
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (/ f n))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))

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

rewrite247.0ms (3.8%)

Memory

-5.6MiB live, 368.0MiB allocated

Rules

4 758×	`lower-/.f32`
4 748×	`lower-/.f64`
4 596×	`lower-*.f64`
4 596×	`lower-*.f32`
2 838×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	102
0	36	99
1	162	94
2	1537	94
0	8231	92

Stop Event

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

Counts

16 → 1 231

Calls

Call 1

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

Outputs
(.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 (pow.f64 (/.f64 (-.f64 n f) (fma.f64 (.f64 f f) f (.f64 (.f64 n n) n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(.f64 (pow.f64 (/.f64 (-.f64 n f) (fma.f64 (.f64 f f) f (.f64 (.f64 n n) n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 f n) f (*.f64 n 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 (neg.f64 n) f) (.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
(.f64 (/.f64 (-.f64 (neg.f64 n) f) (.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 f n) (.f64 (+.f64 f n) (-.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 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 f n)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 (neg.f64 n) f))
(.f64 (/.f64 (.f64 (fma.f64 (-.f64 f n) f (.f64 n n)) (-.f64 (neg.f64 n) f)) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(.f64 (fma.f64 (-.f64 f n) (neg.f64 n) (.f64 (-.f64 n f) f)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (-.f64 n f))))
(*.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64))
(*.f64 (-.f64 (neg.f64 n) f) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(pow.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (.f64 (fma.f64 (-.f64 f n) f (.f64 n n)) (-.f64 (neg.f64 n) f)) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 n f) (-.f64 n f)) (fma.f64 (-.f64 f n) (neg.f64 n) (.f64 (-.f64 n f) f))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 f f) f) (.f64 (-.f64 n f) (.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (.f64 (.f64 n n) n) (.f64 (-.f64 n f) (.f64 (-.f64 n f) (-.f64 n f))))) (+.f64 (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 n f))) (-.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n))) (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n))) (pow.f64 (.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (-.f64 (.f64 (.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n))) (.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n)))) (.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n)))))))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n))) (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n))) (pow.f64 (neg.f64 (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 n f)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 n f)))) (neg.f64 (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 n f))))) (.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (neg.f64 (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 n f))))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 f n) (neg.f64 n) (*.f64 (-.f64 n f) f)) (-.f64 f n))) (-.f64 n f))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))) (-.f64 n f))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 f f) f (.f64 (.f64 n n) n)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 f f) f (.f64 (.f64 n n) n)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))) (neg.f64 (fma.f64 (-.f64 f n) f (*.f64 n n))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 n) f) #s(literal 1 binary64))) (-.f64 n f))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64))) (neg.f64 (-.f64 n f)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (-.f64 f n) f (.f64 n n)) (-.f64 (neg.f64 n) f)) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 f n) (neg.f64 n) (.f64 (-.f64 n f) f)))) (neg.f64 (neg.f64 (.f64 (-.f64 n 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 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 n f) (-.f64 n f))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 f f) f (.f64 (.f64 n n) n)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 f f (.f64 n (-.f64 n f))) (-.f64 n f))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 f f) f (.f64 (.f64 n n) n)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (-.f64 f n) f (.f64 n n)) (-.f64 n f))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) f)) (.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 n f) n) (/.f64 (-.f64 f n) f))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 n f)) (.f64 (/.f64 (-.f64 n f) n) (neg.f64 f)))) (neg.f64 (*.f64 (/.f64 (-.f64 n f) n) (-.f64 n f))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (/.f64 (-.f64 n f) n) f))) (neg.f64 (*.f64 (/.f64 (-.f64 n f) n) (-.f64 f n))))
(/.f64 (neg.f64 (-.f64 (.f64 n (/.f64 (-.f64 f n) f)) (.f64 (-.f64 n f) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))))
(/.f64 (neg.f64 (-.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 n f) (neg.f64 f)))) (neg.f64 (*.f64 (-.f64 n f) (-.f64 n f))))
(/.f64 (neg.f64 (-.f64 (.f64 n (-.f64 f n)) (.f64 (-.f64 n f) f))) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 n) (/.f64 (-.f64 f n) f)) (.f64 (-.f64 f n) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) f))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 n) (-.f64 n f)) (.f64 (-.f64 f n) (neg.f64 f)))) (neg.f64 (*.f64 (-.f64 f n) (-.f64 n f))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f)))) (.f64 (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 n f)))))) (neg.f64 (+.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 n f))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n))) (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n)))) (.f64 (/.f64 (.f64 (.f64 f f) f) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n))) (/.f64 (.f64 (.f64 f f) f) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n)))))) (neg.f64 (fma.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (fma.f64 (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 n f))) (.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))))))))
(/.f64 (neg.f64 (-.f64 n (neg.f64 f))) (neg.f64 (-.f64 n f)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 n f) (-.f64 n f))) (.f64 (-.f64 f n) (.f64 (+.f64 f n) (-.f64 f n)))) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (-.f64 f n)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 f n) (-.f64 n f))) (.f64 (-.f64 f n) (.f64 (+.f64 f n) (-.f64 n f)))) (.f64 (-.f64 f n) (.f64 (-.f64 f n) (-.f64 n f))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (.f64 (-.f64 f n) #s(literal 1 binary64))) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (-.f64 n f))))) (.f64 (-.f64 f n) (fma.f64 (.f64 f f) f (.f64 (.f64 n n) n)))) (.f64 (-.f64 f n) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (-.f64 n f))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 f n) (fma.f64 (-.f64 f n) f (.f64 n n)))) (.f64 (-.f64 f n) (fma.f64 (.f64 f f) f (.f64 (.f64 n n) n)))) (.f64 (-.f64 f n) (.f64 (-.f64 f n) (fma.f64 (-.f64 f n) f (.f64 n n)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 f n)) (.f64 (-.f64 f n) (+.f64 f n))) (*.f64 (-.f64 n f) (-.f64 n f)))
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eval438.0ms (6.8%)

Memory: -11.5MiB live, 496.7MiB allocated
Compiler: Compiled 40 882 to 2 763 computations (93.2% saved)

prune193.0ms (3%)

Memory

11.7MiB live, 327.9MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 671	6	1 677
Fresh	4	1	5
Picked	1	4	5
Done	0	0	0
Total	1 676	11	1 687

Accuracy

100.0%

Counts

1 687 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 n f) (-.f64 n f))
	88.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
▶	49.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
	88.5%	(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
▶	50.8%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	49.2%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶	100.0%	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
▶	51.5%	#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
▶	49.6%	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓	50.0%	#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
✓	48.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 174 to 99 computations (43.1% saved)

simplify54.0ms (0.8%)

Memory

5.6MiB live, 41.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 2 binary64) n)
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
cost-diff	0	(neg.f64 f)
cost-diff	0	#s(approx (- n f) (neg.f64 f))
cost-diff	0	(+.f64 n f)
cost-diff	0	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
cost-diff	0	(-.f64 f n)
cost-diff	0	(neg.f64 n)
cost-diff	0	#s(approx (neg (+ f n)) (neg.f64 n))
cost-diff	0	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
cost-diff	0	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
cost-diff	0	(/.f64 f (-.f64 f n))
cost-diff	0	(-.f64 n f)
cost-diff	0	(/.f64 n (-.f64 n f))
cost-diff	896	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))

Rules

800×	`lower-fma.f32`
798×	`lower-fma.f64`
544×	`lower-*.f64`
544×	`lower-*.f32`
356×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	114
0	38	114
1	59	114
2	90	114
3	134	114
4	221	110
5	385	110
6	859	110
7	1364	110
8	1870	110
9	1945	110
10	1996	110
11	2025	110
0	2025	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (0.9%)

Memory

-11.8MiB live, 88.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 2 binary64) n)
accuracy	0.1171875	(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy	31.063066855039036	#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
accuracy	0	(+.f64 n f)
accuracy	0	(neg.f64 f)
accuracy	0.04296875	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
accuracy	32.50551821519057	#s(approx (- n f) (neg.f64 f))
accuracy	0	(-.f64 f n)
accuracy	0	(neg.f64 n)
accuracy	0.04296875	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy	31.547243232806245	#s(approx (neg (+ f n)) (neg.f64 n))
accuracy	32.250041896605374	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
accuracy	0	(-.f64 f n)
accuracy	0.0234375	(/.f64 n (-.f64 n f))
accuracy	0.03515625	(/.f64 f (-.f64 f n))
accuracy	0.03515625	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))

Samples

42.0ms

256×

valid

Compiler

Compiled 96 to 21 computations (78.1% saved)

Precisions

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

ival-div: 12.0ms (49.9% of total)

ival-sub: 4.0ms (16.6% of total)

ival-add: 3.0ms (12.5% of total)

ival-neg: 3.0ms (12.5% of total)

ival-mult: 2.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-3.1MiB live, 35.9MiB allocated

Counts

16 → 348

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.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 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor 0 f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) (taylor 0 f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) (taylor 0 f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.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 n)) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#s(alt #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ n f) (- 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 (/ (+ n f) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ n f) (- 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 (/ (+ n f) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#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 (+ 1 (* 2 (/ f n))) (taylor 0 f) (#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 (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#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 (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#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 (* -1 n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 n)) (patch #s(approx (neg (+ f n)) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 n)) (patch #s(approx (neg (+ f n)) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 n)) (patch #s(approx (neg (+ f n)) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 n)) (patch #s(approx (neg (+ f n)) (neg.f64 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 1 (taylor 0 f) (#s(alt (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 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 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n 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 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 (taylor 0 f) (#s(alt #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) (patch #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) (patch #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) 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 (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) (patch #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) 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 (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) (patch #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 1) (taylor inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2)))) (taylor inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3))))) (taylor inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ())
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#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 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())) ())
#s(alt n (taylor inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* n (+ 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 #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 1 (taylor inf n) (#s(alt #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) (patch #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) (taylor inf n) (#s(alt #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) (patch #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) 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 (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) (patch #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 2 (/ f n))) (taylor inf n) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor inf n) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor -inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor -inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ f n)) (taylor -inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n)) (taylor -inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n)) (taylor -inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor -inf n) (#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>) () ())) ())
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#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 #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 (* -1 n) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 n)) (patch #s(approx (neg (+ f n)) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 n)) (patch #s(approx (neg (+ f n)) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 n)) (patch #s(approx (neg (+ f n)) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 n)) (patch #s(approx (neg (+ f n)) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())) ())
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#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>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #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 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #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 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
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#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 (taylor -inf n) (#s(alt #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) (patch #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) (patch #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) (taylor -inf n) (#s(alt #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) (patch #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #<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 #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) (patch #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor -inf n) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor -inf n) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor -inf n) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ())
#s(alt (/ 2 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ())
#s(alt (/ 2 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ())
#s(alt (/ 2 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	n	@	inf	((- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (+ n f) (- n f)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n))
2.0ms	f	@	inf	((- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (+ n f) (- n f)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n))
1.0ms	n	@	0	((- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (+ n f) (- n f)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n))
1.0ms	n	@	-inf	((- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (+ n f) (- n f)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n))
1.0ms	f	@	-inf	((- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (+ n f) (- n f)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n))

simplify174.0ms (2.7%)

Memory

-5.8MiB live, 188.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 852×	`lower-fma.f64`
13 852×	`lower-fma.f32`
4 094×	`lower-*.f64`
4 094×	`lower-*.f32`
2 810×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	432	3034
1	1372	2915
2	4110	2621
0	8299	2391

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 333

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 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 (/ f n))
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(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 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 (* 2 (/ f n)))
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(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 n)
(- f n)
(- f n)
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1
(+ 1 (* 2 (/ f n)))
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n
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(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 f)
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1
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(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
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(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
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(* -1 f)
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(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
-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))))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
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(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
-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))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
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(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
1
(+ 1 (/ n f))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
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(- (* -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
(- (* -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 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
-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)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ 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
(- (* -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)
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
-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 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(* -1 f)
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1
(+ 1 (/ n f))
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(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
-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
(- (* -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 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
-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)
f
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(- n f)
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-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)
(* 2 (/ f n))
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
1
(+ 1 (* 2 (/ f n)))
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* -1 (/ f n))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
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
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(+ 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 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
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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)))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
1
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(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
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(+ 1 (* 2 (/ f n)))
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(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
1
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(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (/ f n))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
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 (* -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 (* 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 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
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
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
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 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)

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

rewrite180.0ms (2.8%)

Memory

33.8MiB live, 184.8MiB allocated

Rules

5 488×	`lower-*.f64`
5 488×	`lower-*.f32`
5 004×	`lower-/.f32`
4 994×	`lower-/.f64`
3 126×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	100
0	38	100
1	153	100
2	1312	100
0	8455	100

Stop Event

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

Counts

16 → 542

Calls

Call 1

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

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

eval172.0ms (2.7%)

Memory: -38.3MiB live, 246.5MiB allocated
Compiler: Compiled 19 367 to 1 875 computations (90.3% saved)

prune83.0ms (1.3%)

Memory

26.6MiB live, 186.3MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	941	0	941
Fresh	0	2	2
Picked	0	5	5
Done	0	4	4
Total	941	11	952

Accuracy

100.0%

Counts

952 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 n f) (-.f64 n f))
▶	88.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
✓	49.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
▶	88.5%	(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
✓	50.8%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	49.2%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	100.0%	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
✓	51.5%	#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓	49.6%	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓	50.0%	#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
✓	48.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 103 to 59 computations (42.7% saved)

simplify159.0ms (2.5%)

Memory

8.1MiB live, 160.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
cost-diff	0	(+.f64 n f)
cost-diff	0	(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
cost-diff	1024	(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
cost-diff	0	(/.f64 f n)
cost-diff	0	#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
cost-diff	0	(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
cost-diff	896	(fma.f64 (/.f64 f n) n n)

Rules

17 492×	`lower-fma.f32`
17 490×	`lower-fma.f64`
5 354×	`lower-*.f32`
5 352×	`lower-*.f64`
1 540×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	85
0	26	84
1	41	84
2	56	80
3	77	72
4	95	64
5	333	64
6	1747	64
7	4054	64
0	8282	64

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (0.7%)

Memory

0.7MiB live, 38.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
accuracy	0.00390625	(-.f64 (/.f64 n f) #s(literal 1 binary64))
accuracy	0.0390625	(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
accuracy	7.338683478613952	(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
accuracy	0	(-.f64 n f)
accuracy	0	#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
accuracy	0.0390625	(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
accuracy	7.091910115578809	(fma.f64 (/.f64 f n) n n)

Samples

37.0ms	255×	0	valid
0.0ms	1×	5	exit

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sub: 17.0ms (60% of total)

ival-div: 5.0ms (17.7% of total)

ival-mult: 3.0ms (10.6% of total)

ival-add: 3.0ms (10.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory

-22.8MiB live, 15.0MiB allocated

Counts

10 → 240

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	f	@	-inf	((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (* (- (/ n f) 1) f) (/ (+ n f) (- n f)) (+ n f) (- n f) (- n f) (- (/ n f) 1))
1.0ms	n	@	-inf	((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (* (- (/ n f) 1) f) (/ (+ n f) (- n f)) (+ n f) (- n f) (- n f) (- (/ n f) 1))
1.0ms	f	@	inf	((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (* (- (/ n f) 1) f) (/ (+ n f) (- n f)) (+ n f) (- n f) (- n f) (- (/ n f) 1))
1.0ms	f	@	0	((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (* (- (/ n f) 1) f) (/ (+ n f) (- n f)) (+ n f) (- n f) (- n f) (- (/ n f) 1))
1.0ms	n	@	inf	((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (* (- (/ n f) 1) f) (/ (+ n f) (- n f)) (+ n f) (- n f) (- n f) (- (/ n f) 1))

simplify183.0ms (2.8%)

Memory

33.9MiB live, 111.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 228×	`lower-fma.f64`
12 228×	`lower-fma.f32`
3 388×	`lower-*.f64`
3 388×	`lower-*.f32`
1 812×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1213
1	447	1175
2	1306	1087
3	5524	1051
0	8280	991

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 213

Calls

Call 1

Inputs
n
(+ f n)
(+ 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)))))
n
(+ f n)
(+ f n)
(+ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 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)))))
n
(+ f n)
(+ f n)
(+ f n)
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(/ n f)
(/ (+ n (* -1 f)) f)
(/ (+ n (* -1 f)) f)
(/ (+ n (* -1 f)) f)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
-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))))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
-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))))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
-1
(- (/ n f) 1)
(- (/ n f) 1)
(- (/ n f) 1)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
-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)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ 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)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ 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 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
-1
(- (/ n f) 1)
(- (/ n f) 1)
(- (/ n f) 1)
f
(+ f n)
(+ f n)
(+ f n)
-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)
f
(+ f n)
(+ f n)
(+ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(* -1 f)
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
-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)
f
(+ f n)
(+ f n)
(+ f n)
(* -1 f)
(- n f)
(- n f)
(- n f)
(* -1 f)
(- n f)
(- n f)
(- n f)
-1
(- (/ n f) 1)
(- (/ n f) 1)
(- (/ n f) 1)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
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)))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(/ f n)
(/ f n)
(/ f n)
(/ f n)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
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)))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(/ n f)
(* n (- (/ 1 f) (/ 1 n)))
(* n (- (/ 1 f) (/ 1 n)))
(* n (- (/ 1 f) (/ 1 n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
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
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(/ f n)
(/ f n)
(/ f n)
(/ f n)
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
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
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(/ n f)
(* -1 (* n (- (/ 1 n) (/ 1 f))))
(* -1 (* n (- (/ 1 n) (/ 1 f))))
(* -1 (* n (- (/ 1 n) (/ 1 f))))

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

rewrite267.0ms (4.2%)

Memory

-5.4MiB live, 187.9MiB allocated

Rules

6 292×	`lower-fma.f32`
6 290×	`lower-fma.f64`
4 664×	`lower-*.f32`
4 662×	`lower-*.f64`
4 090×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	77
0	26	80
1	103	80
2	725	68
0	9139	68

Stop Event

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

Counts

10 → 805

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (.f64 f f) f (.f64 (.f64 n n) n)) (.f64 (fma.f64 n n (.f64 f (-.f64 f n))) (-.f64 (.f64 n n) (.f64 f (-.f64 f n))))) (-.f64 (.f64 n n) (.f64 f (-.f64 f n))))
(.f64 (/.f64 (fma.f64 (.f64 f f) f (.f64 (.f64 n n) n)) (fma.f64 (.f64 (.f64 (.f64 n n) n) (.f64 n n)) n (.f64 (.f64 (.f64 (.f64 f (-.f64 f n)) f) (-.f64 f n)) (.f64 f (-.f64 f n))))) (fma.f64 (.f64 n n) (.f64 n n) (.f64 (.f64 f (-.f64 f n)) (-.f64 (.f64 f (-.f64 f n)) (*.f64 n n)))))
(.f64 (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (.f64 (fma.f64 f f (.f64 n (+.f64 n f))) (-.f64 f n))) (fma.f64 f f (*.f64 n (+.f64 n f))))
(.f64 (/.f64 (fma.f64 (.f64 f f) f (.f64 (.f64 n n) n)) (.f64 (fma.f64 n (-.f64 n f) (.f64 f f)) (-.f64 (.f64 f f) (.f64 n (-.f64 n f))))) (-.f64 (.f64 f f) (.f64 n (-.f64 n f))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))) (.f64 (.f64 f f) f))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))) (.f64 (.f64 f f) f))) (/.f64 (.f64 (.f64 n n) n) (.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))) (.f64 (.f64 f f) f))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f)))) (.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))) (.f64 (.f64 f f) f))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (*.f64 f f))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 n n) (.f64 f f)) (/.f64 (neg.f64 n) f))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 n n) (.f64 f f)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 n n) (.f64 f f)) (-.f64 (/.f64 n f) #s(literal -1 binary64))) (-.f64 (/.f64 n f) #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (-.f64 (/.f64 n f) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f)) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f)))) (.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))) #s(literal 1 binary64))) (.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (*.f64 f f)))))
(/.f64 (fma.f64 (/.f64 (.f64 n n) (.f64 f f)) (/.f64 (.f64 n n) (.f64 f f)) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 n n) (*.f64 f f)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 f f))) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 n n) n) (.f64 (.f64 n n) n)) (.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 f f))) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 n n) (.f64 f f)) (/.f64 (.f64 n n) (.f64 f f)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 n n) (*.f64 f f))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 n n) n) (.f64 (.f64 n n) n)) (.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 f f))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))) (+.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (*.f64 f f) f)) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 n n) n) (.f64 (.f64 n n) n)) (.f64 (.f64 n n) n)) (.f64 (.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 f f)) (.f64 (.f64 f f) f))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))) (+.f64 (/.f64 (.f64 (.f64 (.f64 n n) n) (.f64 (.f64 n n) n)) (.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 f f))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 n n) n) (.f64 (*.f64 f f) f))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 n n) (.f64 f f)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f)))))
(/.f64 (-.f64 (/.f64 (.f64 n n) (.f64 f f)) #s(literal 1 binary64)) (-.f64 (/.f64 n f) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))))
(/.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (.f64 n n) (.f64 f f)) #s(literal 1 binary64))) (-.f64 (/.f64 n f) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f)) #s(literal 1 binary64))) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f)))))
(neg.f64 (/.f64 (-.f64 (/.f64 (.f64 n n) (.f64 f f)) #s(literal 1 binary64)) (neg.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f)) #s(literal 1 binary64)) (neg.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))))))
(fma.f64 (/.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f)) (.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))) (-.f64 (.f64 (/.f64 n f) (-.f64 (/.f64 n f) #s(literal 1 binary64))) #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 n f) (-.f64 (/.f64 n f) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (*.f64 f f))))))
(fma.f64 (/.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f)) (+.f64 (/.f64 (.f64 (.f64 (.f64 n n) n) (.f64 (.f64 n n) n)) (.f64 (.f64 (.f64 f f) (.f64 f f)) (.f64 f f))) (.f64 (.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (-.f64 (/.f64 n f) #s(literal -1 binary64))) (-.f64 (/.f64 n f) #s(literal -1 binary64))))) (fma.f64 (/.f64 (.f64 n n) (.f64 f f)) (/.f64 (.f64 n n) (.f64 f f)) (.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (-.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (*.f64 f f))))))
(fma.f64 (/.f64 (/.f64 (.f64 n n) (.f64 f f)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 f f)))) (-.f64 #s(literal 1 binary64) (/.f64 n f)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 (.f64 n n) (.f64 f f)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (-.f64 (/.f64 n f) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 (.f64 n n) (.f64 f f)) (+.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f)) #s(literal 1 binary64))) (+.f64 (/.f64 (.f64 n n) (.f64 f f)) (-.f64 #s(literal 1 binary64) (/.f64 n f))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 (.f64 n n) (.f64 f f)) (-.f64 (/.f64 (.f64 n n) (.f64 f f)) #s(literal 1 binary64))) (-.f64 (/.f64 n f) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) (neg.f64 n) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) n #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 f n) #s(literal -1/2 binary64)) (pow.f64 (/.f64 f n) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 n f) n) (-.f64 (/.f64 n f) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 n n) (-.f64 (/.f64 n f) #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) f) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 n f) (-.f64 (/.f64 n f) #s(literal -1 binary64))) (/.f64 n f) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 n (-.f64 (/.f64 n f) #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 n f) f) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 1 binary64)) n #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) f) (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) f) (neg.f64 n) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 n) f) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) f) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) f) n #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 n n) (.f64 f f)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (.f64 f f) f)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))))))
(fma.f64 (neg.f64 n) (*.f64 (/.f64 #s(literal -1 binary64) f) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 n) (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (/.f64 n f) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 n (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 f n)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 n n) (.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))) (.f64 (.f64 f f) f))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (*.f64 f f)))))
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 n) f))
(-.f64 (/.f64 n f) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 n n) (.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (*.f64 f f))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 n n) n) (.f64 (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (.f64 f f))) (.f64 (.f64 f f) f))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (.f64 n n) (*.f64 f f))))))
(+.f64 #s(literal -1 binary64) (/.f64 n f))
(+.f64 (/.f64 n f) #s(literal -1 binary64))

eval496.0ms (7.7%)

Memory: 19.6MiB live, 170.1MiB allocated
Compiler: Compiled 26 342 to 2 070 computations (92.1% saved)

prune574.0ms (8.9%)

Memory

7.5MiB live, 243.9MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	1 018	0	1 018
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	1 018	11	1 029

Accuracy

100.0%

Counts

1 029 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 n f) (-.f64 n f))
✓	88.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
✓	49.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
✓	88.5%	(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
✓	50.8%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	49.2%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	100.0%	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
✓	51.5%	#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓	49.6%	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓	50.0%	#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
✓	48.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 252 to 102 computations (59.5% saved)

regimes17.0ms (0.3%)

Memory

-5.4MiB live, 33.2MiB allocated

Counts

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

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

Calls

3 calls:

5.0ms	n
5.0ms	f
5.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

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)

regimes12.0ms (0.2%)

Memory

-7.8MiB live, 30.9MiB allocated

Counts

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

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

Calls

3 calls:

5.0ms	n
4.0ms	f
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
99.9%	1	`f`
99.9%	1	`n`
99.9%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes11.0ms (0.2%)

Memory

-12.8MiB live, 26.1MiB 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 (/ (+ n f) (- 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 n f) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.2%	3	`f`
78.8%	3	`n`
98.3%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB 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 (/ (+ n f) (- 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 n f) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))

Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) 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
97.2%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

6.3MiB live, 6.3MiB 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 (/ (+ n f) (- 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 n f) #s(approx (- n f) (neg.f64 f)))

Outputs
(/.f64 (+.f64 n f) #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
96.3%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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 (/ (+ n f) (- 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
96.3%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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 (/ (+ n f) (- 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
96.2%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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 (/ (+ n f) (- 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
96.2%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes22.0ms (0.3%)

Memory

-25.2MiB live, 22.2MiB 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:

19.0ms	n
1.0ms	f
1.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
48.1%	1	`f`
48.1%	1	`n`
48.1%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.8684352866183437	0.9956207674014009

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.8684352866183437	0.9956207674014009

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	-0.8684352866183437	0.9956207674014009

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.8684352866183437	0.9956207674014009

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.8684352866183437	0.9956207674014009

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch14.0ms (0.2%)

Memory

-9.1MiB live, 29.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-0.8684352866183437	0.9956207674014009

Samples

4.0ms

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)

simplify25.0ms (0.4%)

Memory

-1.5MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Rules

156×	`unsub-neg_binary64`
144×	`distribute-lft-neg-in_binary64`
110×	`neg-mul-1_binary64`
78×	`neg-sub0_binary64`
68×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	236
1	67	236
2	92	236
3	110	230
4	130	230
5	168	230
6	216	230
7	291	230
8	374	230
9	426	230
10	480	230
11	518	230
12	551	230
13	573	230
14	586	230
15	591	230
16	592	230

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 n f) (-.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)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) 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 (+.f64 n f) #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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.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)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) 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)) #s(approx (/ (neg (+ f n)) (- f n)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) 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 (+.f64 n f) #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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness923.0ms (14.4%)

Memory

11.9MiB live, 736.0MiB allocated

Rules

14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
13 894×	`lower-fma.f64`
13 894×	`lower-fma.f32`
4 758×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	539
1	448	504
2	1333	469
3	5177	459
0	8641	432
0	6	18
0	10	18
1	46	18
2	327	17
0	5530	17
0	23	102
0	36	99
1	162	94
2	1537	94
0	8231	92
0	430	2906
1	1366	2807
2	4101	2555
0	8211	2315

Stop Event

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

Compiler

Compiled 320 to 130 computations (59.4% saved)

preprocess92.0ms (1.4%)

Memory: -9.5MiB live, 105.2MiB allocated
Compiler: Compiled 326 to 76 computations (76.7% 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	47	236
1	67	236
2	92	236
3	110	230
4	130	230
5	168	230
6	216	230
7	291	230
8	374	230
9	426	230
10	480	230
11	518	230
12	551	230
13	573	230
14	586	230
15	591	230
16	592	230

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	47	236
1	67	236
2	92	236
3	110	230
4	130	230
5	168	230
6	216	230
7	291	230
8	374	230
9	426	230
10	480	230
11	518	230
12	551	230
13	573	230
14	586	230
15	591	230
16	592	230

start0.0ms (0%)

analyze12.0ms (0.2%)

sample608.0ms (9.5%)

explain67.0ms (1%)

preprocess59.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.3%)

localize20.0ms (0.3%)

series6.0ms (0.1%)

simplify255.0ms (4%)

rewrite371.0ms (5.8%)

eval89.0ms (1.4%)

prune97.0ms (1.5%)

simplify53.0ms (0.8%)

localize68.0ms (1.1%)

series40.0ms (0.6%)

simplify168.0ms (2.6%)

rewrite247.0ms (3.8%)

eval438.0ms (6.8%)

prune193.0ms (3%)

simplify54.0ms (0.8%)

localize55.0ms (0.9%)

series15.0ms (0.2%)

simplify174.0ms (2.7%)

rewrite180.0ms (2.8%)

eval172.0ms (2.7%)

prune83.0ms (1.3%)

simplify159.0ms (2.5%)

localize46.0ms (0.7%)

series31.0ms (0.5%)

simplify183.0ms (2.8%)

rewrite267.0ms (4.2%)

eval496.0ms (7.7%)

prune574.0ms (8.9%)

regimes17.0ms (0.3%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes22.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify25.0ms (0.4%)

soundness923.0ms (14.4%)

preprocess92.0ms (1.4%)

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	47	236
1	67	236
2	92	236
3	110	230
4	130	230
5	168	230
6	216	230
7	291	230
8	374	230
9	426	230
10	480	230
11	518	230
12	551	230
13	573	230
14	586	230
15	591	230
16	592	230