Metrics for subtraction fraction

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB 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)

sample644.0ms (9.8%)

Memory

45.8MiB live, 766.8MiB allocated

Samples

408.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-div: 63.0ms (27.7% of total)

ival-neg: 61.0ms (26.8% of total)

ival-add: 54.0ms (23.7% of total)

ival-sub: 40.0ms (17.6% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain68.0ms (1%)

Memory

-7.5MiB live, 105.3MiB 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

29.0ms

512×

valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

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

ival-div: 4.0ms (32% of total)

ival-sub: 3.0ms (24% of total)

ival-add: 3.0ms (24% of total)

ival-neg: 2.0ms (16% of total)

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

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

preprocess64.0ms (1%)

Memory

-1.0MiB live, 42.8MiB allocated

Algorithm

1×	egg-herbie

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 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify35.0ms (0.5%)

Memory

-16.5MiB live, 22.6MiB 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))

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)

localize23.0ms (0.3%)

Memory

-4.0MiB live, 32.8MiB 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	0.0234375	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Samples

13.0ms

256×

valid

Compiler

Compiled 42 to 14 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (32.4% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

ival-neg: 1.0ms (16.2% of total)

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

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

series6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

simplify295.0ms (4.5%)

Memory

4.3MiB live, 157.5MiB allocated

Algorithm

1×	egg-herbie

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

rewrite225.0ms (3.4%)

Memory

7.6MiB live, 187.3MiB allocated

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
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eval130.0ms (2%)

Memory: -8.9MiB live, 185.2MiB allocated
Compiler: Compiled 14 052 to 1 674 computations (88.1% saved)

prune31.0ms (0.5%)

Memory

-1.1MiB live, 47.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	650	9	659
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	651	9	660

Accuracy

100.0%

Counts

660 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f))
▶	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
▶	69.9%	(/.f64 (neg.f64 (+.f64 f n)) (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))))))
	55.1%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶	46.6%	(/.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)))
▶	46.5%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
	54.0%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶	45.3%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 172 to 120 computations (30.2% saved)

simplify156.0ms (2.4%)

Memory

3.4MiB live, 161.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 f n)
cost-diff	0	(neg.f64 (+.f64 f n))
cost-diff	128	(/.f64 (neg.f64 (+.f64 f n)) (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))))))
cost-diff	1408	(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)))))
cost-diff	0	(/.f64 #s(literal -2 binary64) f)
cost-diff	0	(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
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 n f)
cost-diff	0	(+.f64 n f)
cost-diff	0	(/.f64 (+.f64 n f) (-.f64 n f))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	186
0	50	186
1	94	186
2	212	172
3	572	167
4	1779	167
5	7013	167
0	8309	167

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1.2%)

Memory

-3.0MiB live, 107.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.015625	(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)))))
accuracy	0.0234375	(/.f64 (neg.f64 (+.f64 f n)) (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))))))
accuracy	0.0625	(*.f64 n (/.f64 n (+.f64 n f)))
accuracy	25.513022304339337	(/.f64 (.f64 f f) (.f64 (+.f64 n f) (-.f64 n f)))
accuracy	0	(/.f64 #s(literal -2 binary64) f)
accuracy	0.12109375	(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
accuracy	34.257037353627844	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
accuracy	0	(-.f64 f n)
accuracy	0	(neg.f64 f)
accuracy	0.0234375	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy	34.298874511619445	#s(approx (neg (+ f n)) (neg.f64 f))
accuracy	35.003042889136154	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy	0	(-.f64 n f)
accuracy	0	(+.f64 n f)
accuracy	0.0234375	(/.f64 (+.f64 n f) (-.f64 n f))

Samples

63.0ms

256×

valid

Compiler

Compiled 338 to 51 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 10.0ms (29.5% of total)

ival-mult: 10.0ms (29.5% of total)

ival-add: 5.0ms (14.8% of total)

ival-neg: 5.0ms (14.8% of total)

ival-sub: 3.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series71.0ms (1.1%)

Memory

2.6MiB live, 56.5MiB allocated

Counts

17 → 384

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	n	@	inf	((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (+ (* (/ (* f f) (* (+ n f) (- n f))) (- n f)) (neg (* n (/ n (+ n f))))) (/ (neg (+ f n)) (+ (* (/ (* f f) (* (+ n f) (- n f))) (- n f)) (neg (* n (/ n (+ n f)))))) (neg (+ f n)) (+ f n) (/ (* f f) (* (+ n f) (- n f))) (* n (/ n (+ n f))))
8.0ms	n	@	-inf	((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (+ (* (/ (* f f) (* (+ n f) (- n f))) (- n f)) (neg (* n (/ n (+ n f))))) (/ (neg (+ f n)) (+ (* (/ (* f f) (* (+ n f) (- n f))) (- n f)) (neg (* n (/ n (+ n f)))))) (neg (+ f n)) (+ f n) (/ (* f f) (* (+ n f) (- n f))) (* n (/ n (+ n f))))
4.0ms	f	@	inf	((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (+ (* (/ (* f f) (* (+ n f) (- n f))) (- n f)) (neg (* n (/ n (+ n f))))) (/ (neg (+ f n)) (+ (* (/ (* f f) (* (+ n f) (- n f))) (- n f)) (neg (* n (/ n (+ n f)))))) (neg (+ f n)) (+ f n) (/ (* f f) (* (+ n f) (- n f))) (* n (/ n (+ n f))))
3.0ms	f	@	0	((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (+ (* (/ (* f f) (* (+ n f) (- n f))) (- n f)) (neg (* n (/ n (+ n f))))) (/ (neg (+ f n)) (+ (* (/ (* f f) (* (+ n f) (- n f))) (- n f)) (neg (* n (/ n (+ n f)))))) (neg (+ f n)) (+ f n) (/ (* f f) (* (+ n f) (- n f))) (* n (/ n (+ n f))))
3.0ms	n	@	0	((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (+ (* (/ (* f f) (* (+ n f) (- n f))) (- n f)) (neg (* n (/ n (+ n f))))) (/ (neg (+ f n)) (+ (* (/ (* f f) (* (+ n f) (- n f))) (- n f)) (neg (* n (/ n (+ n f)))))) (neg (+ f n)) (+ f n) (/ (* f f) (* (+ n f) (- n f))) (* n (/ n (+ n f))))

simplify220.0ms (3.3%)

Memory

2.5MiB live, 198.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	538	3511
1	1719	3061
2	6213	2988
0	8246	2761

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 360

Calls

Call 1

Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
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)))))
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 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)))))
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(* -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 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
n
(+ f n)
(+ f n)
(+ f n)
(/ (pow f 2) (pow n 2))
(* (pow f 2) (+ (/ 1 (pow n 2)) (/ (pow f 2) (pow n 4))))
(* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 4)) (/ (pow f 2) (pow n 6)))) (/ 1 (pow n 2))))
(* (pow f 2) (+ (* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 6)) (/ (pow f 2) (pow n 8)))) (/ 1 (pow n 4)))) (/ 1 (pow n 2))))
n
(+ n (* -1 f))
(+ n (* f (- (/ f n) 1)))
(+ n (* f (- (* f (+ (* -1 (/ f (pow n 2))) (/ 1 n))) 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
(- (* -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)
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
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (- (+ 1 (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2)))) (/ n f)))
(* f (- (+ 1 (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2)))) (/ n f)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) (pow f 3))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (+ (* -1 (/ (- n (* -1 n)) f)) (/ (* n (+ (* -1 (* n (- n (* -1 n)))) (* -1 (+ (* -1 (pow n 2)) (pow n 2))))) (pow f 3)))))) 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)))
-1
(- (* -1 (/ (+ n (* -1 n)) f)) 1)
(- (* -1 (/ (+ (pow n 2) (pow (+ n (* -1 n)) 2)) (pow f 2))) (+ 1 (+ (* -1 (/ n f)) (/ n f))))
(- (* -1 (/ (+ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) (* (pow n 2) (+ n (* -1 n)))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (+ (/ n f) (+ (/ (pow n 2) (pow f 2)) (/ (pow (+ n (* -1 n)) 2) (pow f 2)))))))
(/ (pow n 2) f)
(/ (+ (* -1 (/ (pow n 3) f)) (pow n 2)) f)
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (/ (pow n 3) f)) f)
(/ (- (+ (* -1 (/ (pow n 5) (pow f 3))) (pow n 2)) (+ (* -1 (/ (pow n 4) (pow f 2))) (/ (pow n 3) f))) 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 (/ 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)
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
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (/ (pow n 2) f)) n) f)) 1)))
(* -1 (* f (- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (/ (pow n 2) f)) n) f)) 1)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) f)) (/ (* n (- n (* -1 n))) f))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (* n (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f)) (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) f)) (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f))) (* -1 n)) 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)))
-1
(- (+ (* -1 (/ n f)) (/ n f)) 1)
(- (* -1 (/ (- (+ (/ (pow n 2) f) (/ (pow (+ n (* -1 n)) 2) f)) (+ n (* -1 n))) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f) (/ (* (pow n 2) (+ n (* -1 n))) f)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f)) (+ n (* -1 n))) f)) 1)
(/ (pow n 2) f)
(* -1 (/ (+ (* -1 (pow n 2)) (/ (pow n 3) f)) f))
(* -1 (/ (+ (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow n 5) f) (pow n 4)) f)) (pow n 3)) f)) (* -1 (pow n 2))) 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
(- (* -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)
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)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
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 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
f
(+ f n)
(+ f n)
(+ f n)
-1
(- (* -1 (/ (pow n 2) (pow f 2))) 1)
(- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 4))) (/ 1 (pow f 2)))) 1)
(- (* (pow n 2) (- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 6))) (/ 1 (pow f 4)))) (/ 1 (pow f 2)))) 1)
(/ (pow n 2) f)
(* (pow n 2) (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(* (pow n 2) (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)))
(* (pow n 2) (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
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
(+ 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 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)))))
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 2) (pow n 2))))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) (pow n 3))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ (* f (+ (* -1 (* f (- (* -1 f) f))) (+ (* -1 (pow f 2)) (pow f 2)))) (pow n 3)) (/ (pow f 2) (pow n 2))))))))
(* -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)))
(/ (pow f 2) (pow n 2))
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))) (pow n 2))) (pow f 2)) (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow n 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ f (* -1 f)) (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))))) (* (pow f 4) (+ f (* -1 f)))) (pow n 3))) (pow f 2)) (+ (* -1 (/ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow n 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (/ (* (pow f 2) (+ f (* -1 f))) n)))) (pow n 2))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)))
(* n (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ 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 (* -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 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)))
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n)))))
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (+ (* -1 (/ (pow f 2) n)) (+ (/ (* f (- (* -1 f) f)) n) (/ (pow f 2) n)))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (* f (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n)) (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) n)) (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) 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)))
(/ (pow f 2) (pow n 2))
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4)) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ f (* -1 f)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) (* (pow f 4) (+ f (* -1 f)))) n)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1)))
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1)))

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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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
#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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -2 (/ n f))
(*.f64 (/.f64 n f) #s(literal -2 binary64))
(/ (+ (* -2 n) (* -1 f)) f)
(/.f64 (fma.f64 #s(literal -2 binary64) n (neg.f64 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/.f64 (fma.f64 #s(literal -2 binary64) n (neg.f64 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/.f64 (fma.f64 #s(literal -2 binary64) n (neg.f64 f)) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(* -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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(/ (pow f 2) (pow n 2))
(*.f64 (/.f64 (/.f64 f n) n) f)
(* (pow f 2) (+ (/ 1 (pow n 2)) (/ (pow f 2) (pow n 4))))
(fma.f64 (/.f64 (/.f64 f n) n) f (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 n #s(literal 4 binary64))))
(* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 4)) (/ (pow f 2) (pow n 6)))) (/ 1 (pow n 2))))
(fma.f64 (pow.f64 f #s(literal 4 binary64)) (fma.f64 f (/.f64 f (pow.f64 n #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 f n) n) f))
(* (pow f 2) (+ (* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 6)) (/ (pow f 2) (pow n 8)))) (/ 1 (pow n 4)))) (/ 1 (pow n 2))))
(fma.f64 (pow.f64 f #s(literal 4 binary64)) (fma.f64 f (/.f64 f (pow.f64 n #s(literal 6 binary64))) (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 n #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 (/.f64 (/.f64 f n) n) f))
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* f (- (/ f n) 1)))
(fma.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) f n)
(+ n (* f (- (* f (+ (* -1 (/ f (pow n 2))) (/ 1 n))) 1)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 f n) n)) f #s(literal -1 binary64)) f n)
-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 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(-.f64 (-.f64 (fma.f64 (.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64)) (.f64 n n) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (/.f64 n f) #s(literal 2 binary64)) n n) f)) (/.f64 n f))
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))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) 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 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(-.f64 (fma.f64 (.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64)) (.f64 n n) (/.f64 (fma.f64 (.f64 (/.f64 n f) #s(literal -2 binary64)) n (.f64 #s(literal -2 binary64) 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 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
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(fma.f64 (fma.f64 (fma.f64 (neg.f64 n) (/.f64 n (pow.f64 f #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 4 binary64)))) (.f64 n n) (/.f64 #s(literal -1 binary64) (.f64 f f))) (*.f64 n n) #s(literal -1 binary64))
(/ (pow n 2) f)
(*.f64 n (/.f64 n f))
(* (pow n 2) (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 (/.f64 n f) f)) (.f64 n n))
(* (pow n 2) (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)))
(.f64 (.f64 (fma.f64 (-.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) f) f)) n (/.f64 #s(literal 1 binary64) f)) n) n)
(* (pow n 2) (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(.f64 (.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) n (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #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 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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 (* -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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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)
(* 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 (* -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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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))
(* -1 n)
(neg.f64 n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
(*.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 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 2) (pow n 2))))))
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) (pow n 3))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ (* f (+ (* -1 (* f (- (* -1 f) f))) (+ (* -1 (pow f 2)) (pow f 2)))) (pow n 3)) (/ (pow f 2) (pow n 2))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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)
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)
(/ (pow f 2) (pow n 2))
(*.f64 (/.f64 (/.f64 f n) n) f)
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2))
(*.f64 (/.f64 (/.f64 f n) n) f)
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))) (pow n 2))) (pow f 2)) (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow n 2))
(/.f64 (fma.f64 f f (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) n)) (*.f64 n n))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ f (* -1 f)) (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))))) (* (pow f 4) (+ f (* -1 f)))) (pow n 3))) (pow f 2)) (+ (* -1 (/ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow n 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (/ (* (pow f 2) (+ f (* -1 f))) n)))) (pow n 2))
(/.f64 (fma.f64 f f (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) n)) (*.f64 n n))
n
(* n (+ 1 (* -1 (/ f n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* n (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)))
(.f64 (+.f64 (/.f64 (.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) f) n) #s(literal 1 binary64)) n)
(* n (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))))
(.f64 (+.f64 (/.f64 (.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) f) n) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 3 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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 f n)) f) f (.f64 (.f64 #s(literal -2 binary64) f) 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)
(* -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 (* -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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 f n)) f) f (.f64 (.f64 #s(literal -2 binary64) f) 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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 f n)) f) f (.f64 (.f64 #s(literal -2 binary64) f) f)) n)) n))
(* -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 (+ 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 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 f n)) f) f (.f64 (.f64 #s(literal -2 binary64) f) f)) n)) n))
(* -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))
(* -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 (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) 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) (+ (* -1 (/ (pow f 2) n)) (+ (/ (* f (- (* -1 f) f)) n) (/ (pow f 2) n)))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (fma.f64 f (/.f64 (neg.f64 f) n) (fma.f64 (.f64 #s(literal -2 binary64) (/.f64 f n)) f (.f64 f (/.f64 f n)))) f) f) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (* f (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n)) (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) n)) (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 f n)) f) f (.f64 (.f64 #s(literal -2 binary64) f) f)) n)) n))
(* -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)
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)
(/ (pow f 2) (pow n 2))
(*.f64 (/.f64 (/.f64 f n) n) f)
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2))
(*.f64 (/.f64 (/.f64 f n) n) f)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4)) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2))
(/.f64 (fma.f64 f f (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) n)) (*.f64 n n))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ f (* -1 f)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) (* (pow f 4) (+ f (* -1 f)))) n)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2))
(/.f64 (fma.f64 f f (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) n)) (*.f64 n n))
n
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (* n (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1)))
(fma.f64 (/.f64 (fma.f64 (neg.f64 f) (/.f64 f n) f) n) (neg.f64 n) n)
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1)))
(fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 f) f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n) f) n) (neg.f64 n) n)

rewrite272.0ms (4.2%)

Memory

21.5MiB live, 404.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	146
0	50	105
1	193	103
2	1658	103
0	8210	103

Stop Event

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

Counts

17 → 1 788

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval508.0ms (7.7%)

Memory: 9.5MiB live, 763.0MiB allocated
Compiler: Compiled 97 115 to 5 567 computations (94.3% saved)

prune180.0ms (2.7%)

Memory

-6.4MiB live, 149.2MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	2 427	5	2 432
Fresh	3	1	4
Picked	1	4	5
Done	0	0	0
Total	2 431	10	2 441

Accuracy

100.0%

Counts

2 441 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
	85.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
▶	46.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
▶	88.6%	(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
▶	55.1%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	46.6%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶	100.0%	(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
▶	54.0%	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓	46.5%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
✓	45.3%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 123 to 100 computations (18.7% saved)

simplify413.0ms (6.3%)

Memory

-23.6MiB live, 96.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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)
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 n (-.f64 f n))
cost-diff	0	(-.f64 n f)
cost-diff	0	(/.f64 f (-.f64 n f))
cost-diff	896	(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	125
0	40	122
1	63	122
2	96	120
3	146	116
4	248	112
5	612	112
6	2032	112
7	3386	112
8	4383	112
9	4623	112
10	4721	112
11	4784	112
12	6329	112
13	6808	112
14	6923	112
15	7060	112
16	7108	112
17	7108	112
18	7542	112
19	7774	112
20	7787	112
21	7791	112
0	8262	112

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (0.8%)

Memory

26.6MiB live, 103.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 n f)
accuracy	0	#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
accuracy	0.0234375	(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
accuracy	7.08498292421622	(fma.f64 (/.f64 f n) n n)
accuracy	0	(+.f64 n f)
accuracy	0	(neg.f64 f)
accuracy	0.0234375	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
accuracy	34.344655177544546	#s(approx (- n f) (neg.f64 f))
accuracy	0	(-.f64 f n)
accuracy	0	(neg.f64 n)
accuracy	0.0234375	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy	28.819262575296708	#s(approx (neg (+ f n)) (neg.f64 n))
accuracy	29.410382972617047	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
accuracy	0	(-.f64 f n)
accuracy	0.015625	(/.f64 n (-.f64 f n))
accuracy	0.02734375	(/.f64 f (-.f64 n f))
accuracy	0.046875	(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))

Samples

36.0ms

256×

valid

Compiler

Compiled 198 to 40 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 9.0ms (38.6% of total)

ival-add: 5.0ms (21.4% of total)

ival-sub: 4.0ms (17.2% of total)

ival-neg: 3.0ms (12.9% of total)

ival-mult: 2.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.4%)

Memory

9.1MiB live, 51.6MiB allocated

Counts

17 → 384

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	n	@	inf	((- (/ f (- n f)) (/ n (- f n))) (/ f (- n f)) (- n f) (/ n (- 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) (+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n))
2.0ms	n	@	-inf	((- (/ f (- n f)) (/ n (- f n))) (/ f (- n f)) (- n f) (/ n (- 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) (+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n))
2.0ms	f	@	inf	((- (/ f (- n f)) (/ n (- f n))) (/ f (- n f)) (- n f) (/ n (- 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) (+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n))
2.0ms	f	@	-inf	((- (/ f (- n f)) (/ n (- f n))) (/ f (- n f)) (- n f) (/ n (- 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) (+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n))
1.0ms	f	@	0	((- (/ f (- n f)) (/ n (- f n))) (/ f (- n f)) (- n f) (/ n (- 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) (+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n))

simplify195.0ms (3%)

Memory

-54.9MiB live, 203.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	425	3190
1	1390	3014
2	4169	2723
0	8205	2470

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 357

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

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

rewrite191.0ms (2.9%)

Memory

-0.4MiB live, 242.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	110
0	40	110
1	157	110
2	1362	107
0	8701	104

Stop Event

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

Counts

17 → 585

Calls

Call 1

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

Outputs
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eval129.0ms (2%)

Memory: 24.9MiB live, 251.4MiB allocated
Compiler: Compiled 20 900 to 2 252 computations (89.2% saved)

prune69.0ms (1%)

Memory

-18.7MiB live, 112.8MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 074	0	1 074
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	1 074	10	1 084

Accuracy

100.0%

Counts

1 084 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
▶	85.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
✓	46.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
✓	88.6%	(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
✓	55.1%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	46.6%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	100.0%	(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
✓	54.0%	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓	46.5%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
✓	45.3%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 73 to 61 computations (16.4% saved)

simplify317.0ms (4.8%)

Memory

5.6MiB live, 81.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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)

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	47
0	15	47
1	24	47
2	33	47
3	47	47
4	63	41
5	107	35
6	162	35
7	381	35
8	1130	35
9	2556	35
10	3451	35
11	3870	35
12	4039	35
13	4110	35
14	4178	35
15	5520	35
16	5919	35
17	6128	35
18	6284	35
19	6360	35
20	6512	35
21	6839	35
22	7115	35
23	7127	35
24	7163	35
25	7163	35
26	7423	35
27	7543	35
28	7543	35
29	7543	35
0	8535	35

Stop Event

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

Calls

Call 1

Inputs
(/.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 (+.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)

localize24.0ms (0.4%)

Memory

23.5MiB live, 23.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 n f)
accuracy	0	#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
accuracy	0.0234375	(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
accuracy	9.219196879468702	(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)

Samples

17.0ms

256×

valid

Compiler

Compiled 74 to 20 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (41.8% of total)

ival-sub: 2.0ms (20.9% of total)

ival-add: 2.0ms (20.9% of total)

ival-mult: 2.0ms (20.9% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#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>) () ())

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

Calls

6 calls:

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

simplify295.0ms (4.5%)

Memory

-27.6MiB live, 123.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	521
1	432	502
2	1252	458
3	5327	440
0	8426	410

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 84

Calls

Call 1

Inputs
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))
(* -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)
(* -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)
(+ 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)
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
(* -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)))

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

rewrite496.0ms (7.6%)

Memory

25.1MiB live, 103.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	15	36
1	66	36
2	471	36
0	8085	36

Stop Event

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

Counts

4 → 275

Calls

Call 1

Inputs
(*.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))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval507.0ms (7.7%)

Memory: -17.2MiB live, 57.2MiB allocated
Compiler: Compiled 8 105 to 861 computations (89.4% saved)

prune11.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	359	0	359
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	359	10	369

Accuracy

100.0%

Counts

369 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
✓	85.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
✓	46.1%	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
✓	88.6%	(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
✓	55.1%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	46.6%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	100.0%	(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
✓	54.0%	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓	46.5%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
✓	45.3%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 210 to 113 computations (46.2% saved)

regimes40.0ms (0.6%)

Memory

-21.5MiB live, 23.3MiB allocated

Counts

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

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

Calls

3 calls:

30.0ms	f
5.0ms	n
4.0ms	(/.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 10 to 10 computations (0% saved)

regimes9.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB 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)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))

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

Calls

3 calls:

3.0ms	n
3.0ms	f
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
79.2%	3	`f`
75.3%	3	`n`
98.3%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0%)

Memory

3.6MiB live, 3.6MiB 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 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.9%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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
97.8%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ 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
97.8%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory

7.1MiB live, 7.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
45.3%	1	`n`
45.3%	1	`f`
45.3%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch36.0ms (0.6%)

Memory

-38.0MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999374595167	0.9729345947347735

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999374595167	0.9729345947347735

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999374595167	0.9729345947347735

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch14.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-0.9999999374595167	0.9729345947347735

Samples

5.0ms

240×

valid

Compiler

Compiled 71 to 161 computations (-126.8% saved)

Precisions

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

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

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

simplify41.0ms (0.6%)

Memory

-3.2MiB live, 35.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	150
1	50	150
2	64	150
3	75	146
4	89	146
5	115	146
6	129	146
7	153	146
8	182	146

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness608.0ms (9.3%)

Memory

23.9MiB live, 362.7MiB allocated

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

Stop Event

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

Compiler

Compiled 139 to 75 computations (46% saved)

preprocess48.0ms (0.7%)

Memory: -7.4MiB live, 113.9MiB allocated
Compiler: Compiled 196 to 68 computations (65.3% 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	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

start0.0ms (0%)

analyze12.0ms (0.2%)

sample644.0ms (9.8%)

explain68.0ms (1%)

preprocess64.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify35.0ms (0.5%)

localize23.0ms (0.3%)

series6.0ms (0.1%)

simplify295.0ms (4.5%)

rewrite225.0ms (3.4%)

eval130.0ms (2%)

prune31.0ms (0.5%)

simplify156.0ms (2.4%)

localize81.0ms (1.2%)

series71.0ms (1.1%)

simplify220.0ms (3.3%)

rewrite272.0ms (4.2%)

eval508.0ms (7.7%)

prune180.0ms (2.7%)

simplify413.0ms (6.3%)

localize51.0ms (0.8%)

series28.0ms (0.4%)

simplify195.0ms (3%)

rewrite191.0ms (2.9%)

eval129.0ms (2%)

prune69.0ms (1%)

simplify317.0ms (4.8%)

localize24.0ms (0.4%)

series6.0ms (0.1%)

simplify295.0ms (4.5%)

rewrite496.0ms (7.6%)

eval507.0ms (7.7%)

prune11.0ms (0.2%)

regimes40.0ms (0.6%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch36.0ms (0.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify41.0ms (0.6%)

soundness608.0ms (9.3%)

preprocess48.0ms (0.7%)

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