Metrics for subtraction fraction

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample620.0ms (9.6%)

Memory

36.7MiB live, 756.2MiB allocated

Samples

388.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-sub: 68.0ms (30.9% of total)

ival-div: 58.0ms (26.3% of total)

ival-add: 50.0ms (22.7% of total)

ival-neg: 37.0ms (16.8% of total)

ival-true: 5.0ms (2.3% of total)

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

Bogosity

explain90.0ms (1.4%)

Memory

-25.9MiB live, 96.9MiB 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

25.0ms

512×

valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

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

ival-sub: 3.0ms (24.9% of total)

ival-div: 3.0ms (24.9% of total)

ival-add: 3.0ms (24.9% of total)

ival-neg: 2.0ms (16.6% of total)

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

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

preprocess59.0ms (0.9%)

Memory

3.2MiB live, 41.3MiB 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 (+.f64 n f) (-.f64 n f))

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 7 to 5 computations (28.6% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify180.0ms (2.8%)

Memory

-7.9MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
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: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	11	15
2	16	15
3	22	15
4	31	15
5	54	15
6	90	15
7	129	15
8	213	15
9	439	15
10	843	15
11	970	15
12	972	15
13	1010	15
14	1039	15
0	1039	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.3%)

Memory

20.8MiB live, 20.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 n f)
accuracy	0	(+.f64 n f)
accuracy	0.0078125	(/.f64 (+.f64 n f) (-.f64 n f))

Samples

12.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-div: 3.0ms (48.1% of total)

ival-sub: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

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

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

series5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())

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

Outputs
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (-.f64 n f) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify159.0ms (2.5%)

Memory

8.1MiB live, 124.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	458
1	432	439
2	1258	395
3	5371	377
0	8479	347

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

rewrite282.0ms (4.4%)

Memory

-51.1MiB live, 254.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	36	13
2	275	13
3	4496	13
0	8990	13

Stop Event

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

Counts

3 → 463

Calls

Call 1

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

Outputs
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eval105.0ms (1.6%)

Memory: 20.7MiB live, 124.8MiB allocated
Compiler: Compiled 12 291 to 1 312 computations (89.3% saved)

prune18.0ms (0.3%)

Memory

-12.5MiB live, 38.5MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	528	7	535
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	528	8	536

Accuracy

100.0%

Counts

536 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(/.f64 (fma.f64 (fma.f64 f f (.f64 n n)) (.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (.f64 n n))) #s(literal 1 binary64)) (.f64 (.f64 f n) (.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)))) (-.f64 n f))
✓	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
	50.6%	(/.f64 (+.f64 n f) #s(approx (- n f) n))
▶	51.3%	(/.f64 #s(approx (+ n f) n) (-.f64 n f))
▶	50.6%	(/.f64 #s(approx (+ n f) f) (-.f64 n f))
	50.9%	#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
▶	50.0%	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
▶	49.5%	#s(approx (/ (+ n f) (- n f)) #s(literal -1 binary64))

Compiler

Compiled 211 to 117 computations (44.5% saved)

simplify147.0ms (2.3%)

Memory

16.7MiB live, 170.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 n f)
cost-diff	0	#s(approx (+ n f) n)
cost-diff	0	(/.f64 #s(approx (+ n f) n) (-.f64 n f))
cost-diff	0	(-.f64 n f)
cost-diff	0	#s(approx (+ n f) f)
cost-diff	0	(/.f64 #s(approx (+ n f) f) (-.f64 n f))
cost-diff	0	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ n f) (- n f)) #s(literal -1 binary64))
cost-diff	0	(fma.f64 f f (*.f64 n n))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 f f (.f64 n n)) (.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (.f64 n n))) #s(literal 1 binary64)) (.f64 (.f64 f n) (.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)))) (-.f64 n f))
cost-diff	320	(.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (.f64 n n))) #s(literal 1 binary64))
cost-diff	5120	(fma.f64 (fma.f64 f f (.f64 n n)) (.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (.f64 n n))) #s(literal 1 binary64)) (.f64 (.f64 f n) (.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	213
0	40	157
1	67	155
2	132	155
3	374	137
4	974	137
5	2551	137
6	3649	137
7	6620	137
0	8200	137

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (1%)

Memory

24.7MiB live, 98.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 n f)
accuracy	0.0078125	(/.f64 #s(approx (+ n f) n) (-.f64 n f))
accuracy	31.266538314848127	#s(approx (+ n f) n)
accuracy	0	(-.f64 n f)
accuracy	0.0078125	(/.f64 #s(approx (+ n f) f) (-.f64 n f))
accuracy	31.718940714987134	#s(approx (+ n f) f)
accuracy	32.00533967408518	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
accuracy	32.296190163657734	#s(approx (/ (+ n f) (- n f)) #s(literal -1 binary64))
accuracy	0.0078125	(/.f64 (fma.f64 (fma.f64 f f (.f64 n n)) (.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (.f64 n n))) #s(literal 1 binary64)) (.f64 (.f64 f n) (.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)))) (-.f64 n f))
accuracy	14.706004108656956	(.f64 (.f64 f n) (.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (.f64 n n))) #s(literal 1 binary64)))
accuracy	27.763704503465995	(fma.f64 (fma.f64 f f (.f64 n n)) (.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (.f64 n n))) #s(literal 1 binary64)) (.f64 (.f64 f n) (.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64))))
accuracy	27.791514723633302	(/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n)))

Samples

48.0ms

256×

valid

Compiler

Compiled 429 to 46 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 23.0ms (65.4% of total)

ival-add: 5.0ms (14.2% of total)

ival-div: 4.0ms (11.4% of total)

ival-sub: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series65.0ms (1%)

Memory

-30.3MiB live, 59.9MiB allocated

Counts

13 → 312

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	f	@	-inf	((+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1) (/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (+ (* f f) (* n n)) (/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ (+ n f) (- n f)) (+ n f) (/ (+ f n) (+ (* (+ f n) f) (* n n))) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)))
3.0ms	f	@	0	((+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1) (/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (+ (* f f) (* n n)) (/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ (+ n f) (- n f)) (+ n f) (/ (+ f n) (+ (* (+ f n) f) (* n n))) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)))
3.0ms	n	@	-inf	((+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1) (/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (+ (* f f) (* n n)) (/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ (+ n f) (- n f)) (+ n f) (/ (+ f n) (+ (* (+ f n) f) (* n n))) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)))
3.0ms	n	@	0	((+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1) (/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (+ (* f f) (* n n)) (/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ (+ n f) (- n f)) (+ n f) (/ (+ f n) (+ (* (+ f n) f) (* n n))) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)))
2.0ms	n	@	inf	((+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1) (/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (+ (* f f) (* n n)) (/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ (+ n f) (- n f)) (+ n f) (/ (+ f n) (+ (* (+ f n) f) (* n n))) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)))

simplify206.0ms (3.2%)

Memory

5.8MiB live, 164.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	3327
1	1228	3130
2	3702	2919
0	8158	2673

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

Outputs
n
(+.f64 n f)
(+.f64 n f)
(+.f64 n f)
(/.f64 #s(literal 1 binary64) n)
(/.f64 (fma.f64 (neg.f64 f) (/.f64 (/.f64 f n) n) #s(literal 1 binary64)) n)
(fma.f64 (-.f64 (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 f f) (/.f64 #s(literal 1 binary64) n))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 f) (/.f64 f (pow.f64 n #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64)))) f (/.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 f f) (/.f64 #s(literal 1 binary64) n))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(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))
(*.f64 n n)
(fma.f64 n n (*.f64 f f))
(fma.f64 n n (*.f64 f f))
(fma.f64 n n (*.f64 f f))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(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))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(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))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(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
(+.f64 n f)
(+.f64 n f)
(+.f64 n f)
n
(-.f64 n f)
(-.f64 n f)
(-.f64 n f)
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(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
(+.f64 n f)
(+.f64 n f)
(+.f64 n f)
(/.f64 #s(literal 1 binary64) n)
(/.f64 (fma.f64 (neg.f64 f) (/.f64 (/.f64 f n) n) #s(literal 1 binary64)) n)
(fma.f64 (-.f64 (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 f f) (/.f64 #s(literal 1 binary64) n))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 f) (/.f64 f (pow.f64 n #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64)))) f (/.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 f f) (/.f64 #s(literal 1 binary64) n))
f
(-.f64 f (/.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) n))
(fma.f64 (pow.f64 f #s(literal 3 binary64)) (-.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)) f)
(fma.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (fma.f64 (neg.f64 f) (/.f64 f (pow.f64 n #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))) f (/.f64 (/.f64 #s(literal -1 binary64) n) n)) f)
f
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(/.f64 #s(literal 1 binary64) f)
(/.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal -1 binary64)) (neg.f64 f))
(/.f64 (fma.f64 (/.f64 (/.f64 n f) f) (-.f64 (/.f64 (*.f64 n n) f) n) #s(literal 1 binary64)) f)
(/.f64 (fma.f64 (/.f64 (/.f64 n f) f) (-.f64 (/.f64 (*.f64 n n) f) n) #s(literal 1 binary64)) f)
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) n (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(+.f64 (fma.f64 (.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) n (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 f #s(literal 3 binary64))))
(*.f64 f f)
(.f64 (.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal 1 binary64)) f) f)
(.f64 (.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal 1 binary64)) f) f)
(.f64 (.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal 1 binary64)) f) f)
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) n (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(+.f64 (fma.f64 (.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) n (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 f #s(literal 3 binary64))))
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) n (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(+.f64 (fma.f64 (.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) n (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 f #s(literal 3 binary64))))
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) n (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(+.f64 (fma.f64 (.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) n (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 f #s(literal 3 binary64))))
f
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(neg.f64 f)
(fma.f64 (/.f64 n f) f (neg.f64 f))
(fma.f64 (/.f64 n f) f (neg.f64 f))
(fma.f64 (/.f64 n f) f (neg.f64 f))
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) n (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(+.f64 (fma.f64 (.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) n (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 f #s(literal 3 binary64))))
f
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(/.f64 #s(literal 1 binary64) f)
(/.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal -1 binary64)) (neg.f64 f))
(/.f64 (fma.f64 (/.f64 (/.f64 n f) f) (-.f64 (/.f64 (*.f64 n n) f) n) #s(literal 1 binary64)) f)
(/.f64 (fma.f64 (/.f64 (/.f64 n f) f) (-.f64 (/.f64 (*.f64 n n) f) n) #s(literal 1 binary64)) f)
n
(-.f64 n (/.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) f) f))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) f) f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) n)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) f) f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) n)
f
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(/.f64 #s(literal 1 binary64) f)
(/.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal -1 binary64)) (neg.f64 f))
(/.f64 (fma.f64 (/.f64 (/.f64 n f) f) (-.f64 (/.f64 (*.f64 n n) f) n) #s(literal 1 binary64)) f)
(/.f64 (fma.f64 (/.f64 (/.f64 n f) f) (-.f64 (/.f64 (*.f64 n n) f) n) #s(literal 1 binary64)) f)
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal 2 binary64))) f))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (.f64 n (.f64 n (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal 2 binary64)))) f)) f))
(*.f64 f f)
(.f64 (.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal 1 binary64)) f) f)
(.f64 (.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal 1 binary64)) f) f)
(.f64 (.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal 1 binary64)) f) f)
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal 2 binary64))) f))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (.f64 n (.f64 n (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal 2 binary64)))) f)) f))
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal 2 binary64))) f))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (.f64 n (.f64 n (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal 2 binary64)))) f)) f))
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal 2 binary64))) f))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (.f64 n (.f64 n (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal 2 binary64)))) f)) f))
f
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(neg.f64 f)
(fma.f64 (/.f64 n f) f (neg.f64 f))
(fma.f64 (/.f64 n f) f (neg.f64 f))
(fma.f64 (/.f64 n f) f (neg.f64 f))
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal 2 binary64))) f))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (.f64 n (.f64 n (fma.f64 #s(literal 2 binary64) (/.f64 n f) #s(literal 2 binary64)))) f)) f))
f
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(fma.f64 (/.f64 n f) f f)
(/.f64 #s(literal 1 binary64) f)
(/.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal -1 binary64)) (neg.f64 f))
(/.f64 (fma.f64 (/.f64 (/.f64 n f) f) (-.f64 (/.f64 (*.f64 n n) f) n) #s(literal 1 binary64)) f)
(/.f64 (fma.f64 (/.f64 (/.f64 n f) f) (-.f64 (/.f64 (*.f64 n n) f) n) #s(literal 1 binary64)) f)
n
(-.f64 n (/.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) f) f))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) f) f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) n)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) f) f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) n)
f
(+.f64 n f)
(+.f64 n f)
(+.f64 n f)
(/.f64 #s(literal 1 binary64) f)
(/.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal -1 binary64)) (neg.f64 f))
(fma.f64 (-.f64 (/.f64 n (pow.f64 f #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n) (/.f64 #s(literal 1 binary64) f))
(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)))) n (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n) (/.f64 #s(literal 1 binary64) f))
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(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))
(*.f64 f f)
(fma.f64 n n (*.f64 f f))
(fma.f64 n n (*.f64 f f))
(fma.f64 n n (*.f64 f f))
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(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))
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(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))
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(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
(+.f64 n f)
(+.f64 n f)
(+.f64 n f)
(neg.f64 f)
(-.f64 n f)
(-.f64 n f)
(-.f64 n f)
#s(literal -1 binary64)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(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
(+.f64 n f)
(+.f64 n f)
(+.f64 n f)
(/.f64 #s(literal 1 binary64) f)
(/.f64 (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal -1 binary64)) (neg.f64 f))
(fma.f64 (-.f64 (/.f64 n (pow.f64 f #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n) (/.f64 #s(literal 1 binary64) f))
(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)))) n (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n) (/.f64 #s(literal 1 binary64) f))
n
(-.f64 n (/.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) f) f))
(fma.f64 (-.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) f) f)) (pow.f64 n #s(literal 3 binary64)) n)
(fma.f64 (fma.f64 (fma.f64 (neg.f64 n) (/.f64 n (pow.f64 f #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64)))) n (/.f64 (/.f64 #s(literal -1 binary64) f) f)) (pow.f64 n #s(literal 3 binary64)) n)
n
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(literal 1 binary64) n)
(/.f64 (fma.f64 (neg.f64 f) (/.f64 (/.f64 f n) n) #s(literal 1 binary64)) n)
(/.f64 (fma.f64 (*.f64 f (/.f64 (/.f64 f n) n)) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) n)
(/.f64 (fma.f64 (*.f64 f (/.f64 (/.f64 f n) n)) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) n)
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(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))
(*.f64 n n)
(.f64 (.f64 (fma.f64 (/.f64 f n) (/.f64 f n) #s(literal 1 binary64)) n) n)
(.f64 (.f64 (fma.f64 (/.f64 f n) (/.f64 f n) #s(literal 1 binary64)) n) n)
(.f64 (.f64 (fma.f64 (/.f64 f n) (/.f64 f n) #s(literal 1 binary64)) n) n)
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(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))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(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))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(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
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
n
(fma.f64 (/.f64 (neg.f64 f) n) n n)
(fma.f64 (/.f64 (neg.f64 f) n) n n)
(fma.f64 (/.f64 (neg.f64 f) n) n n)
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(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
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(literal 1 binary64) n)
(/.f64 (fma.f64 (neg.f64 f) (/.f64 (/.f64 f n) n) #s(literal 1 binary64)) n)
(/.f64 (fma.f64 (*.f64 f (/.f64 (/.f64 f n) n)) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) n)
(/.f64 (fma.f64 (*.f64 f (/.f64 (/.f64 f n) n)) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) n)
f
(-.f64 f (/.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) n))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) n) (-.f64 (pow.f64 f #s(literal 3 binary64)) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) f)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) n) (-.f64 (pow.f64 f #s(literal 3 binary64)) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) f)
n
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(literal 1 binary64) n)
(/.f64 (fma.f64 (neg.f64 f) (/.f64 (/.f64 f n) n) #s(literal 1 binary64)) n)
(/.f64 (fma.f64 (*.f64 f (/.f64 (/.f64 f n) n)) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) n)
(/.f64 (fma.f64 (*.f64 f (/.f64 (/.f64 f n) n)) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) n)
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 f (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))) n) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (fma.f64 f (.f64 f (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 f #s(literal 3 binary64)) n))) n)) n) #s(literal 1 binary64))
(*.f64 n n)
(.f64 (.f64 (fma.f64 (/.f64 f n) (/.f64 f n) #s(literal 1 binary64)) n) n)
(.f64 (.f64 (fma.f64 (/.f64 f n) (/.f64 f n) #s(literal 1 binary64)) n) n)
(.f64 (.f64 (fma.f64 (/.f64 f n) (/.f64 f n) #s(literal 1 binary64)) n) n)
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 f (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))) n) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (.f64 f (.f64 f (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)))) n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 f (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))) n) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (.f64 f (.f64 f (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)))) n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 f (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))) n) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (.f64 f (.f64 f (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)))) n)) n) #s(literal 1 binary64))
n
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
n
(fma.f64 (/.f64 (neg.f64 f) n) n n)
(fma.f64 (/.f64 (neg.f64 f) n) n n)
(fma.f64 (/.f64 (neg.f64 f) n) n n)
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 f (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))) n) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (.f64 f (.f64 f (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)))) n)) n) #s(literal 1 binary64))
n
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(literal 1 binary64) n)
(/.f64 (fma.f64 (neg.f64 f) (/.f64 (/.f64 f n) n) #s(literal 1 binary64)) n)
(/.f64 (fma.f64 (*.f64 f (/.f64 (/.f64 f n) n)) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) n)
(/.f64 (fma.f64 (*.f64 f (/.f64 (/.f64 f n) n)) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) n)
f
(-.f64 f (/.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) n))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) n) (-.f64 (pow.f64 f #s(literal 3 binary64)) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) f)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) n) (-.f64 (pow.f64 f #s(literal 3 binary64)) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) f)

rewrite247.0ms (3.8%)

Memory

-2.5MiB live, 264.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	181
0	40	145
1	159	105
2	1300	105
0	8075	105

Stop Event

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

Counts

13 → 989

Calls

Call 1

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

Outputs
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eval593.0ms (9.2%)

Memory: 22.2MiB live, 575.5MiB allocated
Compiler: Compiled 86 548 to 4 416 computations (94.9% saved)

prune32.0ms (0.5%)

Memory

-9.0MiB live, 112.8MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 687	2	1 689
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	1 689	8	1 697

Accuracy

100.0%

Counts

1 697 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
▶	50.6%	(/.f64 (+.f64 n f) #s(approx (- n f) n))
✓	51.3%	(/.f64 #s(approx (+ n f) n) (-.f64 n f))
✓	50.6%	(/.f64 #s(approx (+ n f) f) (-.f64 n f))
▶	54.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (-.f64 f n)) (.f64 (+.f64 n f) (-.f64 f n))))
▶	50.9%	#s(approx (/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓	50.0%	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓	49.5%	#s(approx (/ (+ n f) (- n f)) #s(literal -1 binary64))

Compiler

Compiled 123 to 69 computations (43.9% saved)

simplify146.0ms (2.3%)

Memory

10.5MiB live, 182.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- n f) n)
cost-diff	0	(+.f64 n f)
cost-diff	0	(/.f64 (+.f64 n f) #s(approx (- n f) n))
cost-diff	0	(-.f64 n f)
cost-diff	0	(*.f64 (-.f64 n f) (-.f64 f n))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (-.f64 f n)) (.f64 (+.f64 n f) (-.f64 f n))))
cost-diff	1024	(/.f64 (.f64 (-.f64 n f) (-.f64 f n)) (.f64 (+.f64 n f) (-.f64 f n)))
cost-diff	0	(/.f64 #s(literal 2 binary64) n)
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	144
0	41	126
1	84	112
2	225	108
3	765	86
4	2831	86
5	5753	86
0	8239	86

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (1.1%)

Memory

2.6MiB live, 117.5MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 n f)
accuracy	0.0078125	(/.f64 (+.f64 n f) #s(approx (- n f) n))
accuracy	31.493932932034014	#s(approx (- n f) n)
accuracy	0	(*.f64 (+.f64 n f) (-.f64 f n))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (-.f64 f n)) (.f64 (+.f64 n f) (-.f64 f n))))
accuracy	0.015625	(*.f64 (-.f64 n f) (-.f64 f n))
accuracy	28.741588120068194	(/.f64 (.f64 (-.f64 n f) (-.f64 f n)) (.f64 (+.f64 n f) (-.f64 f n)))
accuracy	0	(/.f64 #s(literal 2 binary64) n)
accuracy	0.11328125	(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy	31.42492841568095	#s(approx (/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 280 to 61 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 18.0ms (41.7% of total)

ival-add: 14.0ms (32.5% of total)

ival-div: 9.0ms (20.9% of total)

ival-sub: 2.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.8%)

Memory

-18.6MiB live, 23.8MiB allocated

Counts

11 → 252

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
34.0ms	f	@	-inf	((/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (* (- n f) (- f n)) (* (+ n f) (- f n))) (/ 1 (/ (* (- n f) (- f n)) (* (+ n f) (- f n)))) (* (- n f) (- f n)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (* (+ n f) (- f n)))
3.0ms	f	@	0	((/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (* (- n f) (- f n)) (* (+ n f) (- f n))) (/ 1 (/ (* (- n f) (- f n)) (* (+ n f) (- f n)))) (* (- n f) (- f n)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (* (+ n f) (- f n)))
2.0ms	n	@	inf	((/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (* (- n f) (- f n)) (* (+ n f) (- f n))) (/ 1 (/ (* (- n f) (- f n)) (* (+ n f) (- f n)))) (* (- n f) (- f n)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (* (+ n f) (- f n)))
1.0ms	n	@	-inf	((/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (* (- n f) (- f n)) (* (+ n f) (- f n))) (/ 1 (/ (* (- n f) (- f n)) (* (+ n f) (- f n)))) (* (- n f) (- f n)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (* (+ n f) (- f n)))
1.0ms	f	@	inf	((/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (* (- n f) (- f n)) (* (+ n f) (- f n))) (/ 1 (/ (* (- n f) (- f n)) (* (+ n f) (- f n)))) (* (- n f) (- f n)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (* (+ n f) (- f n)))

simplify179.0ms (2.8%)

Memory

10.2MiB live, 241.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	2445
1	1074	2153
2	3166	1958
0	8453	1801

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

rewrite296.0ms (4.6%)

Memory

1.2MiB live, 295.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	129
0	41	111
1	205	71
2	1926	71
0	8485	71

Stop Event

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

Counts

11 → 857

Calls

Call 1

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

Outputs
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eval306.0ms (4.8%)

Memory: 30.7MiB live, 359.1MiB allocated
Compiler: Compiled 84 972 to 4 633 computations (94.5% saved)

prune36.0ms (0.6%)

Memory

-25.9MiB live, 97.0MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 550	1	1 551
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	1 551	8	1 559

Accuracy

100.0%

Counts

1 559 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
✓	50.6%	(/.f64 (+.f64 n f) #s(approx (- n f) n))
✓	51.3%	(/.f64 #s(approx (+ n f) n) (-.f64 n f))
✓	50.6%	(/.f64 #s(approx (+ n f) f) (-.f64 n f))
▶	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
✓	50.9%	#s(approx (/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓	50.0%	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓	49.5%	#s(approx (/ (+ n f) (- n f)) #s(literal -1 binary64))

Compiler

Compiled 119 to 67 computations (43.7% saved)

simplify35.0ms (0.5%)

Memory

1.8MiB live, 39.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 n f)
cost-diff	0	(/.f64 n (+.f64 n f))
cost-diff	704	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
cost-diff	896	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	8	40
0	13	40
1	18	40
2	26	40
3	39	40
4	70	40
5	119	40
6	194	36
7	304	36
8	537	31
9	703	30
10	924	30
11	1205	30
12	1214	30
13	1244	30
14	1252	30
0	1252	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.4%)

Memory

3.2MiB live, 40.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 n (+.f64 n f))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
accuracy	0.015625	(/.f64 f (+.f64 n f))
accuracy	0.02734375	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))

Samples

18.0ms

256×

valid

Compiler

Compiled 82 to 18 computations (78% saved)

Precisions

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

ival-div: 7.0ms (69.3% of total)

ival-sub: 1.0ms (9.9% of total)

ival-add: 1.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

5 → 120

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 f) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf f) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf f) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 n (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf n) (#s(alt #<batchref> (patch (/.f64 f (+.f64 n f)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify159.0ms (2.5%)

Memory

-8.7MiB live, 205.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	1610
1	1360	1501
2	3995	1373
0	8421	1290

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite135.0ms (2.1%)

Memory

11.3MiB live, 205.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	37
0	13	29
1	69	29
2	674	27
0	9061	27

Stop Event

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

Counts

5 → 1 030

Calls

Call 1

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

Outputs
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eval315.0ms (4.9%)

Memory: -21.3MiB live, 285.7MiB allocated
Compiler: Compiled 41 983 to 4 804 computations (88.6% saved)

prune44.0ms (0.7%)

Memory

23.6MiB live, 62.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 218	1	1 219
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	1 219	8	1 227

Accuracy

100.0%

Counts

1 227 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
✓	50.6%	(/.f64 (+.f64 n f) #s(approx (- n f) n))
✓	51.3%	(/.f64 #s(approx (+ n f) n) (-.f64 n f))
✓	50.6%	(/.f64 #s(approx (+ n f) f) (-.f64 n f))
	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 f n))))
✓	50.9%	#s(approx (/ (+ (* (+ (* f f) (* n n)) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1)) (* (* f n) (* (/ (+ f n) (+ (* (+ f n) f) (* n n))) 1))) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓	50.0%	#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓	49.5%	#s(approx (/ (+ n f) (- n f)) #s(literal -1 binary64))

Compiler

Compiled 331 to 131 computations (60.4% saved)

regimes39.0ms (0.6%)

Memory

-21.8MiB live, 16.7MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	f
4.0ms	n
3.0ms	(/.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

12.2MiB live, 12.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.3%	3	`f`
75.0%	3	`n`
98.3%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.5%	1	`n`
49.5%	1	`f`
49.5%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999913598	0.9946028102597829

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999913598	0.9946028102597829

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	-0.9999999999913598	0.9946028102597829

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch54.0ms (0.8%)

Memory

-30.1MiB live, 14.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	-0.9999999999913598	0.9946028102597829

Samples

4.0ms

240×

valid

Compiler

Compiled 281 to 251 computations (10.7% 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)

simplify63.0ms (1%)

Memory

-1.0MiB live, 37.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	137
1	45	137
2	59	137
3	72	133
4	88	133
5	119	133
6	145	133
7	189	133
8	240	133
9	263	133
10	281	133
11	283	133

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)) (/.f64 #s(approx (+ n f) f) (-.f64 n f)) #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (+ n f) f) (-.f64 n f)) (/.f64 #s(approx (+ n f) n) (-.f64 n f)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (+ n f) f) (-.f64 n f)) #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ n f) (- n f)) #s(literal -1 binary64)) #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)))
#s(approx (/ (+ n f) (- n f)) #s(literal -1 binary64))

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (+ n f) f) (-.f64 n f)) #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (+ n f) f) (-.f64 n f)) (/.f64 #s(approx (+ n f) n) (-.f64 n f)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (+ n f) f) (-.f64 n f)) #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ n f) (- n f)) #s(literal -1 binary64)) #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)))
#s(approx (/ (+ n f) (- n f)) #s(literal -1 binary64))

soundness1.5s (23.3%)

Memory

12.4MiB live, 293.1MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
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
0	140	458
1	432	439
2	1258	395
3	5371	377
0	8479	347

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit

Compiler

Compiled 313 to 152 computations (51.4% saved)

preprocess58.0ms (0.9%)

Memory: -6.5MiB live, 70.7MiB allocated
Compiler: Compiled 282 to 68 computations (75.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	32	137
1	45	137
2	59	137
3	72	133
4	88	133
5	119	133
6	145	133
7	189	133
8	240	133
9	263	133
10	281	133
11	283	133

Iter	Nodes	Cost
0	32	137
1	45	137
2	59	137
3	72	133
4	88	133
5	119	133
6	145	133
7	189	133
8	240	133
9	263	133
10	281	133
11	283	133

start0.0ms (0%)

analyze12.0ms (0.2%)

sample620.0ms (9.6%)

explain90.0ms (1.4%)

preprocess59.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify180.0ms (2.8%)

localize17.0ms (0.3%)

series5.0ms (0.1%)

simplify159.0ms (2.5%)

rewrite282.0ms (4.4%)

eval105.0ms (1.6%)

prune18.0ms (0.3%)

simplify147.0ms (2.3%)

localize66.0ms (1%)

series65.0ms (1%)

simplify206.0ms (3.2%)

rewrite247.0ms (3.8%)

eval593.0ms (9.2%)

prune32.0ms (0.5%)

simplify146.0ms (2.3%)

localize71.0ms (1.1%)

series49.0ms (0.8%)

simplify179.0ms (2.8%)

rewrite296.0ms (4.6%)

eval306.0ms (4.8%)

prune36.0ms (0.6%)

simplify35.0ms (0.5%)

localize24.0ms (0.4%)

series10.0ms (0.2%)

simplify159.0ms (2.5%)

rewrite135.0ms (2.1%)

eval315.0ms (4.9%)

prune44.0ms (0.7%)

regimes39.0ms (0.6%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch54.0ms (0.8%)

simplify63.0ms (1%)

soundness1.5s (23.3%)

preprocess58.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	32	137
1	45	137
2	59	137
3	72	133
4	88	133
5	119	133
6	145	133
7	189	133
8	240	133
9	263	133
10	281	133
11	283	133