Metrics for subtraction fraction

analyze15.0ms (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 (19.6% of total)

ival-div: 1.0ms (19.6% of total)

ival-add: 1.0ms (19.6% of total)

ival-neg: 1.0ms (19.6% of total)

const: 0.0ms (0% of total)

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

sample629.0ms (13.4%)

Results

440.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-div: 73.0ms (32.1% of total)

ival-add: 55.0ms (24.2% of total)

ival-sub: 46.0ms (20.2% of total)

ival-neg: 45.0ms (19.8% of total)

const: 7.0ms (3.1% of total)

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

Bogosity

preprocess133.0ms (2.8%)

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))

explain69.0ms (1.5%)

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

52.0ms

512×

valid

Compiler

Compiled 56 to 20 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sub: 4.0ms (28.3% of total)

ival-div: 4.0ms (28.3% of total)

ival-add: 3.0ms (21.2% of total)

ival-neg: 3.0ms (21.2% 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
▶	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify58.0ms (1.2%)

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)

localize34.0ms (0.7%)

Localize:

Found 3 expressions of interest:

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

Results

28.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sub: 15.0ms (76.5% of total)

ival-add: 3.0ms (15.3% of total)

ival-div: 2.0ms (10.2% 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
0.0ms	f	@	inf	(/ (+ f n) (- n f))
0.0ms	n	@	-inf	(/ (+ f n) (- n f))
0.0ms	n	@	inf	(/ (+ f n) (- n f))
0.0ms	n	@	0	(/ (+ f n) (- n f))
0.0ms	f	@	0	(/ (+ f n) (- n f))

rewrite312.0ms (6.7%)

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)))))

simplify214.0ms (4.6%)

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)))

eval57.0ms (1.2%)

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

prune94.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	392	7	399
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	392	8	400

Accuracy

100.0%

Counts

400 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	84.8%	(/.f64 (+.f64 f n) (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))))
▶	57.6%	(/.f64 n (-.f64 n f))
▶	44.1%	(/.f64 f (-.f64 n f))
	58.2%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
	44.3%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
▶	56.8%	#s(literal 1 binary64)
▶	43.0%	#s(literal -1 binary64)

Compiler

Compiled 111 to 77 computations (30.6% saved)

simplify132.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 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 f (-.f64 n f))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 n f))
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	256	(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
✓	cost-diff	256	(/.f64 (+.f64 f n) (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))))

Rules

1792×	`fnmadd-define`
1566×	`-lowering-.f32`
1566×	`-lowering-.f64`
1510×	`fma-define`
1232×	`sum5-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	27	62
2	41	62
3	57	50
4	90	46
5	186	46
6	510	46
7	2270	46
8	7861	46
0	8173	46

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize50.0ms (1.1%)

Localize:

Found 8 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 f (-.f64 n f))
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 n f))
✓	accuracy	100.0%	(/.f64 (+.f64 f n) (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))))
✓	accuracy	85.2%	(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))

Results

36.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

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

ival-div: 7.0ms (42.5% of total)

ival-add: 5.0ms (30.3% of total)

ival-mult: 2.0ms (12.1% of total)

ival-sub: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Counts

7 → 168

Calls

Call 1

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

Calls

42 calls:

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

rewrite321.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4064×	`-lowering-.f32`
4064×	`-lowering-.f64`
3862×	`/-lowering-/.f32`
3862×	`/-lowering-/.f64`
1296×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	81	43
2	709	31
0	8780	31

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 708

Calls

Call 1

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

Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 f n) f) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 (+.f64 f n) f) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (/.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 f n))))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 f n) f) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) (/.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 f n))) (.f64 (/.f64 (/.f64 (+.f64 f n) f) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 f n) (.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n (/.f64 f (/.f64 n f)))))) #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 f n) (.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n (/.f64 f (/.f64 n f)))))) (/.f64 n (-.f64 #s(literal 0 binary64) f))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 f n) f) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))))) (.f64 (/.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 f n)) (/.f64 (/.f64 (+.f64 f n) f) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 f n)) (/.f64 (/.f64 (+.f64 f n) f) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))))) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 f 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 (+.f64 f n) (.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n (/.f64 f (/.f64 n f))))))) (.f64 (/.f64 n (-.f64 #s(literal 0 binary64) f)) (/.f64 (+.f64 f n) (.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n (/.f64 f (/.f64 n f))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (.f64 n (/.f64 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))))
(-.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 (+.f64 f n) (-.f64 n f))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) n) f) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 f f) (.f64 n (-.f64 n f))) (/.f64 (+.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))) (-.f64 n f))))
(/.f64 #s(literal 1 binary64) (/.f64 f (/.f64 (+.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 n f)))))
(/.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 f n) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f))))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(/.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 f n)))
(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (-.f64 (.f64 n n) (.f64 f f)) (neg.f64 (*.f64 (-.f64 n f) (-.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)) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (/.f64 (+.f64 f n) f) (+.f64 #s(literal -1 binary64) (/.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 #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 n) f)) (+.f64 #s(literal 1 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) 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 f (-.f64 n f)) (/.f64 f (+.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)))))
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(/.f64 (.f64 (/.f64 n (-.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f)))) (-.f64 (.f64 n (.f64 n (.f64 n n))) (.f64 (.f64 f (+.f64 f n)) (.f64 f (+.f64 f n))))) (-.f64 (.f64 n n) (*.f64 f (+.f64 f n))))
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(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64))
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simplify348.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

2784×	`-lowering-.f32`
2784×	`-lowering-.f64`
2442×	`+-lowering-+.f64`
2442×	`+-lowering-+.f32`
2050×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	1352
1	962	1244
2	2946	1150
0	8308	1150

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

eval251.0ms (5.4%)

Compiler: Compiled 23892 to 1988 computations (91.7% saved)

prune141.0ms (3%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1023	2	1025
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	1023	10	1033

Accuracy

100.0%

Counts

1033 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	84.8%	(/.f64 (+.f64 f n) (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))))
✓	57.6%	(/.f64 n (-.f64 n f))
✓	44.1%	(/.f64 f (-.f64 n f))
▶	43.8%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
▶	57.6%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
▶	58.2%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
▶	44.3%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
✓	56.8%	#s(literal 1 binary64)
✓	43.0%	#s(literal -1 binary64)

Compiler

Compiled 74 to 51 computations (31.1% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

164×	`sum3-define`
104×	`fma-define`
88×	`+-lowering-+.f64`
88×	`+-lowering-+.f32`
68×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	28	58
2	42	58
3	57	58
4	78	58
5	98	58
6	132	58
7	160	58
8	209	58
9	313	58
10	328	58
11	336	58
12	337	58
0	337	58

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize82.0ms (1.8%)

Localize:

Found 10 expressions of interest:

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

Results

65.0ms

256×

valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

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

ival-div: 6.0ms (38.1% of total)

ival-add: 4.0ms (25.4% of total)

ival-mult: 4.0ms (25.4% of total)

ival-sub: 1.0ms (6.3% of total)

const: 1.0ms (6.3% of total)

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

series11.0ms (0.2%)

Counts

9 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite223.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3330×	`/-lowering-/.f32`
3330×	`/-lowering-/.f64`
3158×	`-lowering-.f32`
3158×	`-lowering-.f64`
1724×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	88	41
2	801	41
0	8922	41

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 278

Calls

Call 1

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

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

simplify155.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2800×	`fnmadd-define`
2570×	`fma-define`
2050×	`sum3-define`
1756×	`fma-lowering-fma.f32`
1756×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	915
1	117	897
2	285	879
3	503	879
4	953	879
5	1465	879
6	2506	879
7	4879	879
8	7198	879
0	8170	879

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval75.0ms (1.6%)

Compiler: Compiled 6629 to 746 computations (88.7% saved)

prune42.0ms (0.9%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	533	0	533
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	533	10	543

Accuracy

100.0%

Counts

543 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	84.8%	(/.f64 (+.f64 f n) (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))))
✓	57.6%	(/.f64 n (-.f64 n f))
✓	44.1%	(/.f64 f (-.f64 n f))
✓	43.8%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	57.6%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	58.2%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
✓	44.3%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
✓	56.8%	#s(literal 1 binary64)
✓	43.0%	#s(literal -1 binary64)

Compiler

Compiled 138 to 77 computations (44.2% saved)

regimes14.0ms (0.3%)

Counts

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.2%)

Counts

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

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

Calls

2 calls:

3.0ms	n
3.0ms	f

Results

Accuracy	Segments	Branch
78.6%	3	`f`
77.8%	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 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.5%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

6 → 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))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.3%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.2%)

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
78.3%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

4 → 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))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.2%	3	`f`

Compiler

Compiled 3 to 2 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
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal -1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.9%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (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
2.0ms	n

Results

Accuracy	Segments	Branch
76.5%	3	`n`
77.6%	3	`f`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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	f
1.0ms	n

Results

Accuracy	Segments	Branch
43.0%	1	`n`
43.0%	1	`f`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.3965567076308457e-51	1.3549793482761459e-39
12.0ms	-4.230336693938424e+75	-3.547573347423268e+71

Results

16.0ms

288×

valid

Compiler

Compiled 359 to 282 computations (21.4% saved)

Precisions

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

ival-sub: 2.0ms (26.6% of total)

ival-div: 2.0ms (26.6% of total)

ival-add: 2.0ms (26.6% of total)

ival-neg: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.61140262576644e-105	1.9387170456508613e-98
11.0ms	-4.230336693938424e+75	-3.547573347423268e+71

Results

15.0ms

272×

valid

Compiler

Compiled 305 to 215 computations (29.5% saved)

Precisions

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

ival-div: 2.0ms (29.7% of total)

ival-add: 2.0ms (29.7% of total)

ival-sub: 1.0ms (14.9% of total)

ival-neg: 1.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	8.170454016456053e-60	1.3722751017117614e-59
10.0ms	-4.230336693938424e+75	-3.547573347423268e+71

Results

10.0ms

192×

valid

Compiler

Compiled 207 to 138 computations (33.3% saved)

Precisions

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

ival-sub: 1.0ms (20.8% of total)

ival-div: 1.0ms (20.8% of total)

ival-add: 1.0ms (20.8% of total)

ival-neg: 1.0ms (20.8% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.3965567076308457e-51	1.3549793482761459e-39
13.0ms	-4.230336693938424e+75	-3.547573347423268e+71

Results

17.0ms

288×

valid

Compiler

Compiled 303 to 216 computations (28.7% saved)

Precisions

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

ival-sub: 2.0ms (27.3% of total)

ival-div: 2.0ms (27.3% of total)

ival-add: 2.0ms (27.3% of total)

ival-neg: 1.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.3965567076308457e-51	1.3549793482761459e-39
12.0ms	-4.230336693938424e+75	-3.547573347423268e+71

Results

16.0ms

288×

valid

Compiler

Compiled 303 to 226 computations (25.4% saved)

Precisions

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

ival-div: 3.0ms (36.4% of total)

ival-sub: 2.0ms (24.3% of total)

ival-add: 2.0ms (24.3% of total)

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

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.3965567076308457e-51	1.3549793482761459e-39
11.0ms	-4.230336693938424e+75	-3.547573347423268e+71

Results

15.0ms

288×

valid

Compiler

Compiled 231 to 190 computations (17.7% saved)

Precisions

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

ival-sub: 2.0ms (26.9% of total)

ival-div: 2.0ms (26.9% of total)

ival-add: 2.0ms (26.9% of total)

ival-neg: 1.0ms (13.4% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.170454016456053e-60	1.3722751017117614e-59
10.0ms	-4.230336693938424e+75	-3.547573347423268e+71

Results

12.0ms

192×

valid

Compiler

Compiled 111 to 106 computations (4.5% saved)

Precisions

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

ival-sub: 1.0ms (21% of total)

ival-div: 1.0ms (21% of total)

ival-add: 1.0ms (21% of total)

ival-neg: 1.0ms (21% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
10×	`*-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	151
1	84	151
2	93	151
3	99	151
4	103	151
5	104	151

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f #s(literal -48999999999999999011723599568437945007619757599163155574449539466276110336 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 4268429180062943/3138550867693340381917894711603833208051177722232017256448 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal -2 binary64)) f))))
(if (<=.f64 f #s(literal -419999999999999978358354890802057568802718328941026978280518111058722816 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 2924367647388653/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 n (-.f64 n f)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))))
(if (<=.f64 f #s(literal -13000000000000000250220688488498292662086011053465034426066648794239336448 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 2826955303645415/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))
(if (<=.f64 f #s(literal -6599999999999999982178924877544961724540834306966869413948711438674558976 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 3537834798240593/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 f (-.f64 n f))))
(if (<=.f64 f #s(literal -130000000000000002502206884884982926620860110534650344260666487942393364480 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -124999999999999990817472647060149865438600401899933485907830802472545288192 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 5198224874617095/49039857307708443467467104868809893875799651909875269632 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64)))
(if (<=.f64 f #s(literal -380000000000000006107008252858665330923323895561349772434572148511604736 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f #s(literal -48999999999999999011723599568437945007619757599163155574449539466276110336 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 4268429180062943/3138550867693340381917894711603833208051177722232017256448 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal -2 binary64)) f))))
(if (<=.f64 f #s(literal -419999999999999978358354890802057568802718328941026978280518111058722816 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 2924367647388653/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 n (-.f64 n f)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))))
(if (<=.f64 f #s(literal -13000000000000000250220688488498292662086011053465034426066648794239336448 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 2826955303645415/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))))
(if (<=.f64 f #s(literal -6599999999999999982178924877544961724540834306966869413948711438674558976 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 3537834798240593/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 f (-.f64 n f))))
(if (<=.f64 f #s(literal -130000000000000002502206884884982926620860110534650344260666487942393364480 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -124999999999999990817472647060149865438600401899933485907830802472545288192 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 5198224874617095/49039857307708443467467104868809893875799651909875269632 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64)))
(if (<=.f64 f #s(literal -380000000000000006107008252858665330923323895561349772434572148511604736 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 381638965992131/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

soundness921.0ms (19.7%)

Rules

3906×	`-lowering-.f32`
3906×	`-lowering-.f64`
2784×	`-lowering-.f32`
2784×	`-lowering-.f64`
2442×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	286	1352
1	962	1244
2	2946	1150
0	8308	1150
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

Compiler

Compiled 516 to 283 computations (45.2% saved)

preprocess50.0ms (1.1%)

Compiler: Compiled 334 to 136 computations (59.3% saved)

Iter	Nodes	Cost
0	15	60
1	28	58
2	42	58
3	57	58
4	78	58
5	98	58
6	132	58
7	160	58
8	209	58
9	313	58
10	328	58
11	336	58
12	337	58
0	337	58

Iter	Nodes	Cost
0	15	60
1	28	58
2	42	58
3	57	58
4	78	58
5	98	58
6	132	58
7	160	58
8	209	58
9	313	58
10	328	58
11	336	58
12	337	58
0	337	58

analyze15.0ms (0.3%)

sample629.0ms (13.4%)

preprocess133.0ms (2.8%)

explain69.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (1.2%)

localize34.0ms (0.7%)

series4.0ms (0.1%)

rewrite312.0ms (6.7%)

simplify214.0ms (4.6%)

eval57.0ms (1.2%)

prune94.0ms (2%)

simplify132.0ms (2.8%)

localize50.0ms (1.1%)

series9.0ms (0.2%)

rewrite321.0ms (6.9%)

simplify348.0ms (7.4%)

eval251.0ms (5.4%)

prune141.0ms (3%)

simplify15.0ms (0.3%)

localize82.0ms (1.8%)

series11.0ms (0.2%)

rewrite223.0ms (4.8%)

simplify155.0ms (3.3%)

eval75.0ms (1.6%)

prune42.0ms (0.9%)

regimes14.0ms (0.3%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes11.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch28.0ms (0.6%)

bsearch26.0ms (0.5%)

bsearch17.0ms (0.4%)

bsearch28.0ms (0.6%)

bsearch28.0ms (0.6%)

bsearch27.0ms (0.6%)

bsearch19.0ms (0.4%)

simplify11.0ms (0.2%)

soundness921.0ms (19.7%)

preprocess50.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	60
1	28	58
2	42	58
3	57	58
4	78	58
5	98	58
6	132	58
7	160	58
8	209	58
9	313	58
10	328	58
11	336	58
12	337	58
0	337	58