Metrics for subtraction fraction

analyze16.0ms (0.3%)

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 11 to 7 computations (36.4% saved)

Precisions

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

ival-sub: 1.0ms (20% of total)

ival-div: 1.0ms (20% of total)

ival-add: 1.0ms (20% of total)

ival-neg: 1.0ms (20% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample662.0ms (11.1%)

Results

459.0ms

8256×

valid

Precisions

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

ival-div: 62.0ms (27.4% of total)

ival-add: 59.0ms (26% of total)

ival-sub: 53.0ms (23.4% of total)

ival-neg: 43.0ms (19% of total)

const: 7.0ms (3.1% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess133.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

1472×	`fnmadd-define`
1408×	`sum4-define`
1298×	`sum3-define`
1162×	`fma-define`
832×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	54
1	72	42
2	203	42
3	646	42
4	1872	42
5	3546	42
6	4846	42
7	4914	42
8	5395	42
9	5427	42
10	5427	42
11	5445	42
0	6	8
1	17	8
2	37	8
3	83	7
4	198	7
5	491	7
6	1119	7
7	2470	7
8	2816	7
9	2970	7
10	2989	7
11	2997	7
0	2997	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain63.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

45.0ms

512×

valid

Compiler

Compiled 56 to 20 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-add: 12.0ms (54.4% of total)

ival-div: 4.0ms (18.1% of total)

ival-sub: 3.0ms (13.6% of total)

ival-neg: 3.0ms (13.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 n f)
✓	cost-diff	(+.f64 f n)
✓	cost-diff	(/.f64 (+.f64 f n) (-.f64 n f))

Rules

852×	`fnmadd-define`
640×	`sum5-define`
558×	`fmsub-define`
556×	`fnmsub-define`
510×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	8	15
2	13	15
3	20	15
4	31	15
5	73	15
6	152	15
7	265	15
8	433	15
9	806	15
10	1662	15
11	2893	15
12	2895	15
13	2933	15
14	3302	15
15	3318	15
0	3318	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize23.0ms (0.4%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))

Results

14.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (37.5% of total)

ival-add: 2.0ms (37.5% of total)

ival-sub: 1.0ms (18.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts

3 → 72

Calls

Call 1

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

Calls

18 calls:

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

rewrite325.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2632×	`-lowering-.f32`
2632×	`-lowering-.f64`
2366×	`/-lowering-/.f32`
2366×	`/-lowering-/.f64`
1090×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	37	13
2	332	13
3	5137	13
0	8062	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 327

Calls

Call 1

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

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

simplify220.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

3906×	`-lowering-.f32`
3906×	`-lowering-.f64`
1932×	`sum4-define`
1356×	`sum5-define`
1266×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	542
1	475	502
2	1500	444
3	6914	444
0	8470	444

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval91.0ms (1.5%)

Compiler: Compiled 10095 to 982 computations (90.3% saved)

prune80.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	390	9	399
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	390	10	400

Accuracy

100.0%

Counts

400 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	50.2%	(/.f64 (+.f64 f n) n)
	88.5%	(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))) (-.f64 n f))
	50.8%	(/.f64 n (-.f64 n f))
▶	50.5%	(/.f64 f (-.f64 n f))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
	50.9%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
	49.5%	#s(literal 1 binary64)
▶	49.4%	#s(literal -1 binary64)

Compiler

Compiled 151 to 99 computations (34.4% saved)

simplify102.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	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	128	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(/.f64 (+.f64 f n) n)
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 f (-.f64 n f))
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 (-.f64 n f) (+.f64 f n))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))

Rules

904×	`fnmadd-define`
790×	`fma-define`
752×	`fmsub-define`
724×	`fnmsub-define`
656×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	31	64
2	57	64
3	111	64
4	218	64
5	435	64
6	951	64
7	1548	64
8	2418	64
9	3578	64
10	3739	64
11	3768	64
12	3787	64
13	3795	64
0	3795	64

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize79.0ms (1.3%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 (+.f64 f n) n)
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(/.f64 f (-.f64 n f))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
✓	accuracy	99.9%	(/.f64 (-.f64 n f) (+.f64 f n))

Results

59.0ms

256×

valid

Compiler

Compiled 72 to 13 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 33.0ms (85.8% of total)

ival-sub: 2.0ms (5.2% of total)

ival-mult: 2.0ms (5.2% of total)

ival-add: 1.0ms (2.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts

8 → 192

Calls

Call 1

Inputs
#<alt (/ 1 (/ (- n f) (+ f n)))>
#<alt (/ (- n f) (+ f n))>
#<alt (- n f)>
#<alt (+ f n)>
#<alt (/ f (- n f))>
#<alt (/ (+ f n) n)>
#<alt (* (/ 1 (- n f)) (+ f n))>
#<alt (/ 1 (- n f))>

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

48 calls:

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

rewrite323.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4048×	`-lowering-.f32`
4048×	`-lowering-.f64`
3664×	`/-lowering-/.f32`
3664×	`/-lowering-/.f64`
1966×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	79	41
2	654	41
0	9201	41

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 956

Calls

Call 1

Inputs
(/ 1 (/ (- n f) (+ f n)))
(/ (- n f) (+ f n))
(- n f)
(+ f n)
(/ f (- n f))
(/ (+ f n) n)
(* (/ 1 (- n f)) (+ f n))
(/ 1 (- 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 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(+.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 n n)) (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 f (+.f64 n f))))
(+.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 f (+.f64 n f))) (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 n n)))
(+.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (+.f64 (.f64 n n) (.f64 f f))) (.f64 (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (*.f64 n f)))
(+.f64 (.f64 (.f64 n n) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (.f64 (.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))))
(+.f64 (.f64 (.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (.f64 (.f64 n n) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))))
(+.f64 (.f64 (+.f64 (.f64 n n) (.f64 f f)) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (.f64 (.f64 n f) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (*.f64 f f))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (+.f64 n f) (-.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 (.f64 f f) (.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 f n))))
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(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) #s(literal 1 binary64)) (.f64 (+.f64 n f) (+.f64 n f)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))))) (/.f64 (+.f64 n f) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 f f) (*.f64 n n)))) (/.f64 (+.f64 n f) (-.f64 f n)))
(.f64 (/.f64 (+.f64 (.f64 f f) (.f64 n (-.f64 n f))) (-.f64 n f)) (/.f64 (+.f64 n f) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (+.f64 (.f64 f f) (.f64 n (+.f64 n f))))
(.f64 (.f64 (+.f64 n f) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64))) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal -1 binary64)) (+.f64 n f))
(+.f64 (/.f64 f (-.f64 (.f64 n n) (.f64 f f))) (.f64 n (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (*.f64 f f)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 n n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 f (+.f64 n f))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 f (+.f64 n f))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 n n)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (+.f64 (.f64 n n) (.f64 f f))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (*.f64 n f)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) n) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) f))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) f) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) n))
(+.f64 (.f64 (.f64 n n) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (.f64 (.f64 f (+.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))))
(+.f64 (.f64 (.f64 f (+.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (.f64 (.f64 n n) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))))
(+.f64 (.f64 (+.f64 (.f64 n n) (.f64 f f)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (.f64 (.f64 n f) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (*.f64 f f))))))
(+.f64 (.f64 n (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f)))) (/.f64 f (-.f64 (.f64 n n) (*.f64 f f))))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (.f64 f f) (-.f64 f n)) (-.f64 (.f64 n n) (.f64 f f))) (/.f64 (/.f64 (.f64 n n) (-.f64 f n)) (-.f64 (.f64 n n) (.f64 f f))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 (.f64 n n) (.f64 f f)))
(/.f64 #s(literal -1 binary64) (-.f64 f n))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 n f)) (-.f64 (.f64 f f) (.f64 n n)))
(/.f64 (+.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 n n) (.f64 f f)) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))))
(/.f64 (+.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 n n) (.f64 f f)) (+.f64 (.f64 n n) (*.f64 f (-.f64 f n)))))
(/.f64 (+.f64 (.f64 f f) (.f64 n (+.f64 n f))) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))
(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (.f64 (-.f64 (.f64 n n) (*.f64 f f)) (-.f64 f n)))
(/.f64 (-.f64 (.f64 n n) (.f64 f f)) (.f64 (-.f64 (.f64 n n) (*.f64 f f)) (-.f64 n f)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 f f) (.f64 n (+.f64 n f)))) (-.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))))) (.f64 (-.f64 (.f64 n n) (.f64 f f)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 f f) (.f64 n (-.f64 n f))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))) (.f64 (.f64 f (+.f64 n f)) (.f64 (.f64 f f) (.f64 (+.f64 n f) (+.f64 n f)))))) (.f64 (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))) (+.f64 (.f64 n (.f64 n (.f64 n n))) (.f64 (.f64 f (+.f64 n f)) (-.f64 (.f64 f (+.f64 n f)) (*.f64 n n))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n (.f64 n n))) (.f64 (.f64 f f) (.f64 (+.f64 n f) (+.f64 n f))))) (.f64 (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))) (-.f64 (.f64 n n) (.f64 f (+.f64 n f)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (*.f64 f f))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (+.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n)))) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (+.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n)))) (+.f64 (.f64 n n) (*.f64 f (-.f64 f n))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (-.f64 (.f64 f f) (*.f64 n n))) (-.f64 f n))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (+.f64 (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))) (.f64 (.f64 f (+.f64 n f)) (.f64 (.f64 f f) (.f64 (+.f64 n f) (+.f64 n f)))))) (+.f64 (.f64 n (.f64 n (.f64 n n))) (.f64 (.f64 f (+.f64 n f)) (-.f64 (.f64 f (+.f64 n f)) (.f64 n n)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (-.f64 (.f64 n (.f64 n (.f64 n n))) (.f64 (.f64 f f) (.f64 (+.f64 n f) (+.f64 n f))))) (-.f64 (.f64 n n) (*.f64 f (+.f64 n f))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (-.f64 (.f64 n n) (*.f64 f f))) (-.f64 n f))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))))
(pow.f64 (-.f64 n f) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 n f))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(.f64 (+.f64 n f) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (*.f64 f f))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 1 binary64)))
(*.f64 (-.f64 f n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 n f)))
(.f64 (+.f64 (.f64 f f) (.f64 n (+.f64 n f))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (*.f64 f f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (+.f64 (.f64 f f) (*.f64 n (+.f64 n f))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 f f) (*.f64 n (+.f64 n f)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (.f64 (+.f64 (.f64 f f) (.f64 n (+.f64 n f))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 n n) (.f64 f f)) (+.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 f f) (.f64 n n)) (-.f64 (.f64 n n) (*.f64 f f))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 n f) (+.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(.f64 (/.f64 (+.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))) (+.f64 n f)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))) (-.f64 n f)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64))) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) #s(literal 1 binary64)) (+.f64 n f))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (+.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 f f) (.f64 n (-.f64 n f)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) (.f64 f f))) (-.f64 (.f64 f f) (.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))

simplify392.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

2898×	`-lowering-.f32`
2898×	`-lowering-.f64`
1610×	`+-lowering-+.f64`
1610×	`+-lowering-+.f32`
1594×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	1930
1	1315	1688
2	4089	1588
0	8399	1588

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

eval333.0ms (5.6%)

Compiler: Compiled 36892 to 2767 computations (92.5% saved)

prune160.0ms (2.7%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1541	3	1544
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	1543	11	1554

Accuracy

100.0%

Counts

1554 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	88.5%	(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))) (-.f64 n f))
▶	50.8%	(/.f64 n (-.f64 n f))
✓	50.5%	(/.f64 f (-.f64 n f))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
▶	50.3%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
	50.8%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
▶	50.2%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
▶	49.5%	#s(literal 1 binary64)
✓	49.4%	#s(literal -1 binary64)

Compiler

Compiled 133 to 90 computations (32.3% saved)

simplify161.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 n (-.f64 n f))
✓	cost-diff	0	(/.f64 n f)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	cost-diff	0	(/.f64 f n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	cost-diff	0	(/.f64 n f)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 n f))
✓	cost-diff	256	(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))
✓	cost-diff	256	(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))) (-.f64 n f))

Rules

2110×	`--lowering--.f32`
2110×	`--lowering--.f64`
1844×	`-lowering-.f32`
1844×	`-lowering-.f64`
1504×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	30	65
2	53	63
3	131	57
4	232	57
5	573	57
6	2316	57
7	6525	57
0	8390	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize56.0ms (0.9%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(/.f64 n (-.f64 n f))
✓	accuracy	100.0%	(/.f64 n f)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	accuracy	100.0%	(/.f64 f n)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 n f))
✓	accuracy	99.9%	(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))) (-.f64 n f))
✓	accuracy	88.9%	(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))

Results

39.0ms

256×

valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 10.0ms (56.9% of total)

ival-sub: 3.0ms (17.1% of total)

ival-add: 3.0ms (17.1% of total)

ival-mult: 2.0ms (11.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series10.0ms (0.2%)

Counts

9 → 216

Calls

Call 1

Inputs
#<alt (/ (* f (+ 1 (/ n f))) (- n f))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (+ 1 (/ n f))>
#<alt (/ n f)>
#<alt (+ 1 (/ f n))>
#<alt (/ f n)>
#<alt (- -1 (/ n f))>
#<alt (/ n (- n f))>
#<alt (- 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 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 (/ 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>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (/ n f))>
#<alt (/ n f)>
#<alt (* n (+ (/ 1 f) (/ 1 n)))>
#<alt (* n (+ (/ 1 f) (/ 1 n)))>
#<alt (* n (+ (/ 1 f) (/ 1 n)))>
#<alt (/ n f)>
#<alt (* n (+ (/ 1 f) (/ 1 n)))>
#<alt (* n (+ (/ 1 f) (/ 1 n)))>
#<alt (* n (+ (/ 1 f) (/ 1 n)))>
#<alt (/ n f)>
#<alt (/ (+ f n) f)>
#<alt (/ (+ f n) f)>
#<alt (/ (+ f n) f)>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (/ n f))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (/ n f))>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (/ f n)>
#<alt (/ (+ f n) n)>
#<alt (/ (+ f n) n)>
#<alt (/ (+ f n) n)>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ 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)))))>

Calls

54 calls:

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

rewrite252.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3590×	`/-lowering-/.f32`
3590×	`/-lowering-/.f64`
3056×	`-lowering-.f32`
3056×	`-lowering-.f64`
1848×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	94	47
2	820	39
0	9250	39

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 353

Calls

Call 1

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

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

simplify245.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

4132×	`-lowering-.f32`
4132×	`-lowering-.f64`
1936×	`/-lowering-/.f32`
1936×	`/-lowering-/.f64`
1808×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	1213
1	769	1121
2	2344	1064
0	8611	1064

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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

eval98.0ms (1.6%)

Compiler: Compiled 10756 to 1128 computations (89.5% saved)

prune57.0ms (0.9%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	689	0	689
Fresh	0	1	1
Picked	0	5	5
Done	0	5	5
Total	689	11	700

Accuracy

100.0%

Counts

700 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	88.5%	(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))) (-.f64 n f))
✓	50.8%	(/.f64 n (-.f64 n f))
✓	50.5%	(/.f64 f (-.f64 n f))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
✓	50.3%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
▶	50.8%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
✓	50.2%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓	49.5%	#s(literal 1 binary64)
✓	49.4%	#s(literal -1 binary64)

Compiler

Compiled 87 to 58 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
8×	`fma-lowering-fma.f32`
8×	`fma-define`
8×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	13	18
2	17	18
3	20	18
4	21	18
0	21	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ 1 (/ (* f 2) n))
1
(/ (* f 2) n)
(* f 2)
f
2
n

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

localize41.0ms (0.7%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
✓	accuracy	100.0%	(*.f64 f #s(literal 2 binary64))
✓	accuracy	99.3%	(/.f64 (*.f64 f #s(literal 2 binary64)) n)

Results

33.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 12.0ms (54.7% of total)

ival-mult: 8.0ms (36.5% of total)

ival-add: 1.0ms (4.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (+ 1 (/ (* f 2) n))>
#<alt (/ (* f 2) n)>
#<alt (* f 2)>

Outputs
#<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)>

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	f	@	-inf	(/ (* f 2) n)
0.0ms	f	@	inf	(/ (* f 2) n)
0.0ms	f	@	inf	(* f 2)
0.0ms	f	@	-inf	(* f 2)
0.0ms	f	@	0	(+ 1 (/ (* f 2) n))

rewrite183.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2220×	`-lowering-.f32`
2220×	`-lowering-.f64`
1772×	`fma-lowering-fma.f32`
1772×	`fma-lowering-fma.f64`
1682×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	33	14
2	266	14
3	5236	14
0	8104	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 111

Calls

Call 1

Inputs
(+ 1 (/ (* f 2) n))
(/ (* f 2) n)
(* f 2)

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

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

64×	`fma-define`
64×	`-lowering-.f32`
64×	`-lowering-.f64`
40×	`fma-lowering-fma.f32`
40×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	300
1	39	282
2	66	282
3	77	282
4	98	282
5	110	282
6	122	282
0	122	282

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

Inputs
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)

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

eval276.0ms (4.6%)

Compiler: Compiled 2985 to 314 computations (89.5% saved)

prune22.0ms (0.4%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	171	11	182

Accuracy

100.0%

Counts

182 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	88.5%	(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))) (-.f64 n f))
✓	50.8%	(/.f64 n (-.f64 n f))
✓	50.5%	(/.f64 f (-.f64 n f))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
✓	50.3%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	50.8%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
✓	50.2%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓	49.5%	#s(literal 1 binary64)
✓	49.4%	#s(literal -1 binary64)

Compiler

Compiled 174 to 88 computations (49.4% saved)

regimes15.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes13.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	f
3.0ms	n

Results

Accuracy	Segments	Branch
77.8%	3	`f`
78.2%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.9%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	n
2.0ms	f

Results

Accuracy	Segments	Branch
77.3%	3	`f`
77.8%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.4%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	f
1.0ms	n

Results

Accuracy	Segments	Branch
76.7%	3	`f`
77.2%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	n
1.0ms	f

Results

Accuracy	Segments	Branch
49.4%	1	`f`
49.4%	1	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.445269218261507e+40	1.0434564724109356e+44
14.0ms	-4.3633285135098283e+24	-2.3144415947956476e+23

Results

17.0ms

240×

valid

Compiler

Compiled 285 to 220 computations (22.8% saved)

Precisions

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

ival-div: 2.0ms (34% of total)

ival-sub: 1.0ms (17% of total)

ival-add: 1.0ms (17% of total)

ival-neg: 1.0ms (17% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.44506139036402e+35	4.6121166433008755e+39
10.0ms	-4.3633285135098283e+24	-2.3144415947956476e+23

Results

13.0ms

240×

valid

Compiler

Compiled 255 to 175 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (28.5% of total)

ival-div: 2.0ms (28.5% of total)

ival-add: 2.0ms (28.5% of total)

ival-neg: 1.0ms (14.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.445269218261507e+40	1.0434564724109356e+44
9.0ms	-4.3633285135098283e+24	-2.3144415947956476e+23

Results

12.0ms

240×

valid

Compiler

Compiled 255 to 190 computations (25.5% saved)

Precisions

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

ival-div: 2.0ms (33.7% of total)

ival-sub: 1.0ms (16.8% of total)

ival-add: 1.0ms (16.8% of total)

ival-neg: 1.0ms (16.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.445269218261507e+40	1.0434564724109356e+44
11.0ms	-4.3633285135098283e+24	-2.3144415947956476e+23

Results

14.0ms

240×

valid

Compiler

Compiled 195 to 160 computations (17.9% saved)

Precisions

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

ival-div: 2.0ms (33% of total)

ival-add: 2.0ms (33% of total)

ival-sub: 1.0ms (16.5% of total)

ival-neg: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
13.0ms	4.5307208858365244e+27	1.327177283712887e+32
3.0ms	-4.3633285135098283e+24	-2.3144415947956476e+23

Results

10.0ms

160×

valid

Compiler

Compiled 95 to 90 computations (5.3% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
10×	`sub-neg_binary64`
10×	`if-if-or-not_binary32`
8×	`*-commutative_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	102
1	73	102
2	82	102
3	88	102
4	92	102
5	93	102

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n #s(literal -4100000000000000092274688 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 n #s(literal 14500000000000000882956591198109594934050816 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n)))))
(if (<=.f64 n #s(literal -3750000000000000071303168 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 129999999999999995184506177344986152960 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -640000000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 109999999999999994879165575394636112855040 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -780000000000000008388608 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 72000000000000001993831273536085733660426240 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -999999999999999983222784 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 49999999999999995716575428608 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 n #s(literal -4100000000000000092274688 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 n #s(literal 14500000000000000882956591198109594934050816 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n)))))
(if (<=.f64 n #s(literal -3750000000000000071303168 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 129999999999999995184506177344986152960 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -640000000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 109999999999999994879165575394636112855040 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -780000000000000008388608 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 72000000000000001993831273536085733660426240 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -999999999999999983222784 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 49999999999999995716575428608 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

soundness1.2s (20.7%)

Rules

3906×	`-lowering-.f32`
3906×	`-lowering-.f64`
2898×	`-lowering-.f32`
2898×	`-lowering-.f64`
2632×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	370	1930
1	1315	1688
2	4089	1588
0	8399	1588
0	5	13
1	37	13
2	332	13
3	5137	13
0	8062	13
0	6	8
1	17	8
2	37	8
3	83	7
4	198	7
5	491	7
6	1119	7
7	2470	7
8	2816	7
9	2970	7
10	2989	7
11	2997	7
0	2997	7
0	140	542
1	475	502
2	1500	444
3	6914	444
0	8470	444

Stop Event

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

Compiler

Compiled 348 to 187 computations (46.3% saved)

preprocess47.0ms (0.8%)

Compiler: Compiled 264 to 106 computations (59.8% saved)

analyze16.0ms (0.3%)

sample662.0ms (11.1%)

preprocess133.0ms (2.2%)

explain63.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify53.0ms (0.9%)

localize23.0ms (0.4%)

series4.0ms (0.1%)

rewrite325.0ms (5.4%)

simplify220.0ms (3.7%)

eval91.0ms (1.5%)

prune80.0ms (1.3%)

simplify102.0ms (1.7%)

localize79.0ms (1.3%)

series9.0ms (0.2%)

rewrite323.0ms (5.4%)

simplify392.0ms (6.6%)

eval333.0ms (5.6%)

prune160.0ms (2.7%)

simplify161.0ms (2.7%)

localize56.0ms (0.9%)

series10.0ms (0.2%)

rewrite252.0ms (4.2%)

simplify245.0ms (4.1%)

eval98.0ms (1.6%)

prune57.0ms (0.9%)

simplify4.0ms (0.1%)

localize41.0ms (0.7%)

series5.0ms (0.1%)

rewrite183.0ms (3.1%)

simplify15.0ms (0.3%)

eval276.0ms (4.6%)

prune22.0ms (0.4%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

bsearch27.0ms (0.4%)

bsearch51.0ms (0.8%)

bsearch22.0ms (0.4%)

bsearch23.0ms (0.4%)

bsearch17.0ms (0.3%)

simplify10.0ms (0.2%)

soundness1.2s (20.7%)

preprocess47.0ms (0.8%)

end0.0ms (0%)

Profiling