Metrics for subtraction fraction

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze22.0ms (0.5%)

Memory

23.4MiB live, 23.4MiB 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)

sample648.0ms (15.6%)

Memory

16.2MiB live, 792.6MiB allocated

Samples

412.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-sub: 59.0ms (26.7% of total)

ival-div: 58.0ms (26.2% of total)

ival-add: 56.0ms (25.3% of total)

ival-neg: 40.0ms (18.1% of total)

ival-true: 6.0ms (2.7% of total)

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

Bogosity

explain82.0ms (2%)

Memory

6.6MiB live, 89.7MiB 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

24.0ms

512×

valid

Compiler

Compiled 54 to 22 computations (59.3% saved)

Precisions

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

ival-sub: 3.0ms (25.7% of total)

ival-div: 3.0ms (25.7% of total)

ival-add: 3.0ms (25.7% of total)

ival-neg: 2.0ms (17.1% of total)

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

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

preprocess189.0ms (4.5%)

Memory

-16.9MiB live, 57.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify27.0ms (0.7%)

Memory

-16.2MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.5%)

Memory

-1.4MiB live, 36.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 f n)
accuracy	0	(+.f64 f n)
accuracy	0	(neg.f64 (+.f64 f n))
accuracy	0.025722509768442016	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Samples

12.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

ival-div: 2.0ms (34.3% of total)

ival-sub: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

ival-neg: 1.0ms (17.2% of total)

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

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

series4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>

Calls

24 calls:

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

simplify315.0ms (7.6%)

Memory

18.6MiB live, 336.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

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

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

rewrite197.0ms (4.7%)

Memory

1.4MiB live, 281.1MiB allocated

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

4 → 572

Calls

Call 1

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

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

eval81.0ms (1.9%)

Memory: 11.9MiB live, 121.8MiB allocated
Compiler: Compiled 16 019 to 1 649 computations (89.7% saved)

prune102.0ms (2.4%)

Memory

-33.2MiB live, 181.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

100.0%

Counts

660 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
	50.6%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶	51.1%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
	100.0%	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
	51.5%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
▶	51.1%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
	49.6%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶	50.0%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 158 to 94 computations (40.5% saved)

simplify54.0ms (1.3%)

Memory

18.2MiB live, 54.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	108
0	33	106
1	58	106
2	104	104
3	183	104
4	329	104
5	640	104
6	1019	104
7	1159	104
8	1269	104
9	1332	104
10	1368	104
11	1377	104
0	1377	102

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (1.2%)

Memory

11.0MiB live, 47.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 n f)
accuracy	0	(+.f64 f n)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (-.f64 n f))
accuracy	0.15625	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
accuracy	0	(/.f64 (+.f64 f f) n)
accuracy	0	(+.f64 f f)
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
accuracy	31.318529494208565	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
accuracy	0	(-.f64 f n)
accuracy	0	(neg.f64 f)
accuracy	0.025722509768442016	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy	31.384544824309007	#s(approx (neg (+ f n)) (neg.f64 f))
accuracy	32.00272677267992	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy	0	(-.f64 n f)
accuracy	0	(+.f64 f n)
accuracy	0.025722509768442016	(/.f64 (+.f64 f n) (-.f64 n f))

Samples

28.0ms

256×

valid

Compiler

Compiled 94 to 18 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 6.0ms (36.7% of total)

ival-add: 4.0ms (24.4% of total)

ival-sub: 2.0ms (12.2% of total)

ival-mult: 2.0ms (12.2% of total)

ival-neg: 2.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.9%)

Memory

-28.0MiB live, 10.4MiB allocated

Counts

14 → 312

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* 2 (/ f n))>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt (/ -1 f)>
#<alt (- (* -1 (/ n (pow f 2))) (/ 1 f))>
#<alt (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (/ 1 n)>
#<alt (/ (+ 1 (/ f n)) n)>
#<alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)>
#<alt (/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (- (* -1 (/ f n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))>
#<alt (/ 1 n)>
#<alt (+ (/ 1 n) (/ f (pow n 2)))>
#<alt (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))>
#<alt (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))>
#<alt (/ -1 f)>
#<alt (/ (- (* -1 (/ n f)) 1) f)>
#<alt (/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)>
#<alt (/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)>
#<alt (/ -1 f)>
#<alt (* -1 (/ (+ 1 (/ n f)) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))>

Calls

78 calls:

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

simplify277.0ms (6.7%)

Memory

14.2MiB live, 374.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 818×	`lower-fma.f64`
11 818×	`lower-fma.f32`
3 452×	`lower-*.f64`
3 452×	`lower-*.f32`
2 712×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	2730
1	943	2505
2	2838	2227
0	8374	2030

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 300

Calls

Call 1

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

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

rewrite59.0ms (1.4%)

Memory

-6.9MiB live, 109.4MiB allocated

Rules

572×	`lower-/.f32`
564×	`lower-/.f64`
436×	`lower-*.f32`
434×	`lower-*.f64`
256×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	91
0	33	89
1	129	89
0	995	87

Stop Event

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

Counts

14 → 268

Calls

Call 1

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

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

eval242.0ms (5.8%)

Memory: -3.4MiB live, 199.6MiB allocated
Compiler: Compiled 8 531 to 763 computations (91.1% saved)

prune122.0ms (2.9%)

Memory

-3.5MiB live, 156.5MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	660	4	664
Fresh	3	1	4
Picked	1	4	5
Done	0	0	0
Total	664	9	673

Accuracy

100.0%

Counts

673 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	50.9%	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
▶	50.6%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶	100.0%	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
▶	51.5%	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
▶	49.6%	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
✓	51.1%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	50.0%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 124 to 71 computations (42.7% saved)

simplify73.0ms (1.8%)

Memory

14.5MiB live, 89.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
0	39	117
1	56	117
2	86	117
3	148	117
4	247	117
5	430	113
6	896	113
7	1594	113
8	2041	113
9	2142	113
10	2198	113
11	2215	113
12	2215	113
0	2215	111

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (1.5%)

Memory

-5.1MiB live, 151.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (+.f64 n n) f)
accuracy	0	(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
accuracy	0	(+.f64 n n)
accuracy	31.053278169632534	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
accuracy	0	(+.f64 f n)
accuracy	0	(neg.f64 f)
accuracy	0.025722509768442016	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
accuracy	31.321971470401476	#s(approx (- n f) (neg.f64 f))
accuracy	0	(-.f64 f n)
accuracy	0	(neg.f64 n)
accuracy	0.025722509768442016	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy	31.69482796705105	#s(approx (neg (+ f n)) (neg.f64 n))
accuracy	32.28196203439789	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
accuracy	0	(-.f64 n f)
accuracy	0.01171875	(/.f64 n (-.f64 n f))
accuracy	0.01953125	(/.f64 f (-.f64 n f))
accuracy	0.03515625	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))

Samples

39.0ms

256×

valid

Compiler

Compiled 97 to 20 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-neg: 10.0ms (39.5% of total)

ival-div: 8.0ms (31.6% of total)

ival-sub: 4.0ms (15.8% of total)

ival-add: 3.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

7.7MiB live, 46.1MiB allocated

Counts

17 → 372

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 n) (/ f (pow n 2))))>
#<alt (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))>
#<alt (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)>
#<alt (/ f n)>
#<alt (/ (+ f (/ (pow f 2) n)) n)>
#<alt (/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n)>
#<alt (/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n)>
#<alt (/ f n)>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (/ (- (* -1 f) (* 2 n)) f)>
#<alt (/ (- (* -1 f) (* 2 n)) f)>
#<alt (/ (- (* -1 f) (* 2 n)) f)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>

Calls

93 calls:

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

simplify257.0ms (6.2%)

Memory

22.0MiB live, 422.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 690×	`lower-fma.f64`
14 690×	`lower-fma.f32`
3 864×	`lower-*.f64`
3 864×	`lower-*.f32`
3 046×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	415	3263
1	1333	2989
2	4002	2682
0	8305	2439

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 357

Calls

Call 1

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

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

rewrite74.0ms (1.8%)

Memory

-1.6MiB live, 75.3MiB allocated

Rules

854×	`lower-/.f32`
844×	`lower-/.f64`
674×	`lower-*.f64`
674×	`lower-*.f32`
438×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	107
0	39	107
1	149	103
0	1343	101

Stop Event

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

Counts

17 → 291

Calls

Call 1

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

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

eval75.0ms (1.8%)

Memory: 17.3MiB live, 136.4MiB allocated
Compiler: Compiled 9 462 to 923 computations (90.2% saved)

prune102.0ms (2.5%)

Memory

-37.6MiB live, 101.0MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	689	0	689
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	689	9	698

Accuracy

100.0%

Counts

698 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	50.9%	(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
✓	50.6%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	100.0%	(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓	51.5%	#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)))
✓	49.6%	#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
✓	51.1%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	50.0%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 178 to 77 computations (56.7% saved)

regimes15.0ms (0.4%)

Memory

-10.7MiB live, 27.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	f
5.0ms	n
4.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes10.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.2%	3	`f`
79.6%	3	`n`
99.4%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.8%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Memory

-33.4MiB live, 4.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.0%	1	`f`
50.0%	1	`n`
50.0%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999984413378472	0.999998079681255

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999984413378472	0.999998079681255

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999984413378472	0.999998079681255

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999984413378472	0.999998079681255

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999984413378472	0.999998079681255

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch16.0ms (0.4%)

Memory

-18.2MiB live, 21.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-0.9999984413378472	0.999998079681255

Samples

7.0ms

240×

valid

Compiler

Compiled 163 to 131 computations (19.6% saved)

Precisions

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

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

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

simplify21.0ms (0.5%)

Memory

29.3MiB live, 29.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

soundness842.0ms (20.2%)

Memory

2.6MiB live, 544.3MiB allocated

Rules

14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
11 818×	`lower-fma.f64`
11 818×	`lower-fma.f32`
3 728×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	2730
1	943	2505
2	2838	2227
0	8374	2030
0	6	18
0	10	18
1	46	18
2	327	17
0	5530	17
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432

Stop Event

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

Compiler

Compiled 279 to 113 computations (59.5% saved)

preprocess56.0ms (1.4%)

Memory: -0.2MiB live, 77.0MiB allocated
Compiler: Compiled 304 to 70 computations (77% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze22.0ms (0.5%)

sample648.0ms (15.6%)

explain82.0ms (2%)

preprocess189.0ms (4.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.7%)

localize20.0ms (0.5%)

series4.0ms (0.1%)

simplify315.0ms (7.6%)

rewrite197.0ms (4.7%)

eval81.0ms (1.9%)

prune102.0ms (2.4%)

simplify54.0ms (1.3%)

localize51.0ms (1.2%)

series36.0ms (0.9%)

simplify277.0ms (6.7%)

rewrite59.0ms (1.4%)

eval242.0ms (5.8%)

prune122.0ms (2.9%)

simplify73.0ms (1.8%)

localize62.0ms (1.5%)

series13.0ms (0.3%)

simplify257.0ms (6.2%)

rewrite74.0ms (1.8%)

eval75.0ms (1.8%)

prune102.0ms (2.5%)

regimes15.0ms (0.4%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.4%)

simplify21.0ms (0.5%)

soundness842.0ms (20.2%)

preprocess56.0ms (1.4%)

end0.0ms (0%)

Profiling

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

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