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-add: 2.0ms (38.4% of total)

ival-sub: 1.0ms (19.2% of total)

ival-div: 1.0ms (19.2% of total)

ival-neg: 1.0ms (19.2% of total)

const: 0.0ms (0% of total)

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

sample641.0ms (10.8%)

Results

448.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-add: 68.0ms (28.9% of total)

ival-div: 60.0ms (25.5% of total)

ival-sub: 55.0ms (23.4% of total)

ival-neg: 43.0ms (18.3% of total)

const: 7.0ms (3% of total)

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

Bogosity

preprocess134.0ms (2.3%)

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))

explain53.0ms (0.9%)

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

35.0ms

512×

valid

Compiler

Compiled 56 to 20 computations (64.3% saved)

Precisions

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

ival-neg: 7.0ms (39.8% of total)

ival-div: 4.0ms (22.8% of total)

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

ival-add: 3.0ms (17.1% 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)

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize23.0ms (0.4%)

Localize:

Found 3 expressions of interest:

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

Results

17.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (38% of total)

ival-add: 2.0ms (38% of total)

ival-sub: 1.0ms (19% of total)

const: 0.0ms (0% of total)

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

series6.0ms (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
2.0ms	f	@	-inf	(/ (+ f n) (- n f))
0.0ms	n	@	inf	(/ (+ f n) (- n f))
0.0ms	f	@	inf	(/ (+ f n) (- n f))
0.0ms	n	@	-inf	(/ (+ f n) (- n f))
0.0ms	f	@	0	(/ (+ f n) (- n f))

rewrite354.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

2614×	`-lowering-.f32`
2614×	`-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	334	13
3	5150	13
0	8041	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 324

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

simplify216.0ms (3.6%)

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	490
2	1502	433
3	6923	433
0	8483	433

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

eval65.0ms (1.1%)

Compiler: Compiled 10026 to 975 computations (90.3% saved)

prune102.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	387	9	396
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	387	10	397

Accuracy

100.0%

Counts

397 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	49.4%	(/.f64 (+.f64 f n) n)
	86.3%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
	49.5%	(/.f64 n (-.f64 n f))
▶	51.5%	(/.f64 f (-.f64 n f))
▶	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
▶	50.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
	51.8%	(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64)))
	48.5%	#s(literal 1 binary64)
▶	50.4%	#s(literal -1 binary64)

Compiler

Compiled 147 to 99 computations (32.7% saved)

simplify130.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 f n)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 f n))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(/.f64 (+.f64 f n) n)
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 f (-.f64 n f))
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 (-.f64 n f) (+.f64 f n))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))

Rules

1232×	`fnmadd-define`
1034×	`fma-define`
980×	`fmsub-define`
928×	`fnmsub-define`
876×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	29	63
2	50	62
3	89	62
4	170	62
5	372	62
6	842	62
7	1662	62
8	3083	62
9	4099	62
10	4441	62
11	4635	62
12	4757	62
13	4793	62
0	4793	62

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize65.0ms (1.1%)

Localize:

Found 11 expressions of interest:

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

Results

41.0ms

256×

valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

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

ival-div: 11.0ms (60.5% of total)

ival-add: 3.0ms (16.5% of total)

ival-sub: 2.0ms (11% of total)

ival-mult: 2.0ms (11% of total)

const: 1.0ms (5.5% of total)

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

series12.0ms (0.2%)

Counts

9 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	f	@	inf	(+ 1 (* 2 (/ f n)))
1.0ms	f	@	0	(/ f (- n f))
0.0ms	f	@	-inf	(/ f (- n f))
0.0ms	f	@	inf	(* 2 (/ f n))
0.0ms	n	@	inf	(/ (- n f) (+ f n))

rewrite344.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4340×	`-lowering-.f32`
4340×	`-lowering-.f64`
3654×	`/-lowering-/.f32`
3654×	`/-lowering-/.f64`
1608×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	89	44
2	730	44
0	8845	44

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 717

Calls

Call 1

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

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

simplify355.0ms (6%)

Algorithm

1×	egg-herbie

Rules

2612×	`-lowering-.f32`
2612×	`-lowering-.f64`
1912×	`fnmadd-define`
1488×	`+-lowering-+.f64`
1488×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	1673
1	1111	1420
2	3546	1366
0	8262	1366

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval228.0ms (3.8%)

Compiler: Compiled 23716 to 2402 computations (89.9% saved)

prune143.0ms (2.4%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1109	3	1112
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	1111	11	1122

Accuracy

100.0%

Counts

1122 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	86.3%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
▶	49.5%	(/.f64 n (-.f64 n f))
✓	51.5%	(/.f64 f (-.f64 n f))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
▶	51.3%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
▶	49.4%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	50.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
	51.8%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))
▶	48.5%	#s(literal 1 binary64)
✓	50.4%	#s(literal -1 binary64)

Compiler

Compiled 131 to 90 computations (31.3% saved)

simplify162.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-128	(/.f64 n (-.f64 n f))
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 n f)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	cost-diff	0	(/.f64 f n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	cost-diff	0	(/.f64 f n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	cost-diff	256	(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
✓	cost-diff	256	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))

Rules

1896×	`fma-lowering-fma.f32`
1896×	`fma-lowering-fma.f64`
1708×	`fnmsub-define`
1678×	`-lowering-.f32`
1678×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	28	65
2	50	63
3	130	57
4	247	57
5	641	57
6	2758	57
7	6561	57
0	8673	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize56.0ms (0.9%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(/.f64 n (-.f64 n f))
✓	accuracy	100.0%	(/.f64 n f)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	accuracy	100.0%	(/.f64 f n)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	accuracy	100.0%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
✓	accuracy	86.7%	(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))

Results

37.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 68 to 13 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 8.0ms (55% of total)

ival-sub: 3.0ms (20.6% of total)

ival-mult: 2.0ms (13.7% of total)

ival-add: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

8 → 192

Calls

Call 1

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

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

48 calls:

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

rewrite236.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3708×	`-lowering-.f32`
3708×	`-lowering-.f64`
3572×	`/-lowering-/.f32`
3572×	`/-lowering-/.f64`
1422×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	85	42
2	721	34
0	9215	34

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 424

Calls

Call 1

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

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

simplify236.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2600×	`-lowering-.f32`
2600×	`-lowering-.f64`
2438×	`/-lowering-/.f32`
2438×	`/-lowering-/.f64`
2134×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	1246
1	836	1119
2	2521	1027
0	8430	1027

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

eval88.0ms (1.5%)

Compiler: Compiled 14462 to 1369 computations (90.5% saved)

prune98.0ms (1.6%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	824	0	824
Fresh	0	1	1
Picked	0	5	5
Done	0	5	5
Total	824	11	835

Accuracy

100.0%

Counts

835 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	86.3%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
✓	49.5%	(/.f64 n (-.f64 n f))
✓	51.5%	(/.f64 f (-.f64 n f))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
✓	51.3%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	49.4%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	50.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
▶	51.8%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))
✓	48.5%	#s(literal 1 binary64)
✓	50.4%	#s(literal -1 binary64)

Compiler

Compiled 85 to 58 computations (31.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	11	18
2	15	18
3	18	18
4	19	18
0	19	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize28.0ms (0.5%)

Localize:

Found 3 expressions of interest:

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

Results

19.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

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

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)>

Calls

15 calls:

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

rewrite190.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2056×	`-lowering-.f32`
2056×	`-lowering-.f64`
1900×	`fma-lowering-fma.f32`
1900×	`fma-lowering-fma.f64`
1862×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	32	14
2	266	14
3	4995	14
0	8622	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) n) f) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) (neg.f64 (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f)))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) n) f) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))))
(-.f64 (/.f64 (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) n) f) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) n) f) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(fma.f64 n (*.f64 (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 n (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) n) f) #s(literal 1 binary64) #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 n #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) f) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) (neg.f64 (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f)))))
(fma.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) f) (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) f) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 n f)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) f) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) f)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 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))
(fma.f64 (*.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)))))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) f) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)) (neg.f64 (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)))))
(fma.f64 (pow.f64 (/.f64 f (.f64 #s(literal -2 binary64) n)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 f (.f64 #s(literal -2 binary64) n)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal 2 binary64)) f))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -2 binary64) n) f) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n)))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal 2 binary64)) f)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))) (-.f64 (.f64 #s(literal -8 binary64) (*.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 8 binary64) (*.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal 2 binary64)) f)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)))))))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) n) f) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (.f64 (/.f64 (/.f64 n f) (/.f64 f n)) (/.f64 (/.f64 n f) (/.f64 f n))))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal 2 binary64)) f)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal 2 binary64)) f))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal 2 binary64)) f)) (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal 2 binary64)) f)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal 2 binary64)) f))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))) (-.f64 (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n))))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal 2 binary64)) f))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (.f64 (/.f64 (/.f64 n f) (/.f64 f n)) (/.f64 (/.f64 n f) (/.f64 f n))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal 2 binary64)) f))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 (.f64 #s(literal -2 binary64) n) f) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)))) (+.f64 (.f64 (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)))) (.f64 (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n)))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))) (-.f64 (.f64 #s(literal -8 binary64) (*.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 8 binary64) (*.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (.f64 (/.f64 (/.f64 n f) (/.f64 f n)) (/.f64 (/.f64 n f) (/.f64 f n))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -8 binary64) (*.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))))
(.f64 (+.f64 (/.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) (/.f64 f n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) n) f) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n))))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))) (.f64 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n)))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 8 binary64) (.f64 (/.f64 n f) (/.f64 (/.f64 n f) (/.f64 f n)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 n f) (+.f64 (.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 f (.f64 #s(literal -2 binary64) n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) f)) (/.f64 (*.f64 n #s(literal 2 binary64)) f))
(neg.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f))
(neg.f64 (.f64 (/.f64 (.f64 n #s(literal 2 binary64)) f) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 f (*.f64 n #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (/.f64 f n))
(/.f64 (*.f64 n #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) f))
(/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 #s(literal -2 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 (*.f64 #s(literal -2 binary64) n) f)
(/.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1 binary64)) f)
(pow.f64 (/.f64 f (*.f64 #s(literal -2 binary64) n)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal 2 binary64)) f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(.f64 #s(literal -2 binary64) (.f64 (/.f64 n f) #s(literal 1 binary64)))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(.f64 n (.f64 (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64)))
(.f64 n (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) f)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) n) f) #s(literal 1 binary64))
(.f64 (.f64 n #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) f))
(.f64 (.f64 n #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) f) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))
(.f64 (/.f64 (.f64 n #s(literal 2 binary64)) f) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) f) (.f64 #s(literal -2 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) f) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64)))
(*.f64 (/.f64 n f) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 n f)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) f))
(*.f64 #s(literal 2 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) f)))
(.f64 #s(literal 2 binary64) (.f64 n (/.f64 #s(literal -1 binary64) f)))
(.f64 (.f64 #s(literal -2 binary64) n) (/.f64 #s(literal 1 binary64) f))
(.f64 (-.f64 #s(literal 0 binary64) n) (.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) f)))
(*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) f)))
(.f64 (/.f64 #s(literal -1 binary64) f) (.f64 n #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) f) n)
(.f64 (.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -2 binary64) f))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) f))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) f))
(.f64 (pow.f64 (/.f64 f (.f64 #s(literal -2 binary64) n)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 f (*.f64 #s(literal -2 binary64) n)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 n #s(literal 2 binary64)))
(neg.f64 (*.f64 n #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 n #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) n)
(.f64 #s(literal -2 binary64) (.f64 n #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(*.f64 n #s(literal -2 binary64))
(.f64 (.f64 n #s(literal 2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) n))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) n))
(.f64 (.f64 #s(literal -2 binary64) n) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1 binary64) n) #s(literal -2 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) n)) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) n)) #s(literal -2 binary64))

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1270×	`fnmadd-define`
1206×	`fma-define`
736×	`fmsub-define`
666×	`sum3-define`
638×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	282
1	50	282
2	122	282
3	259	282
4	517	282
5	776	282
6	1380	282
7	2206	282
8	3070	282
9	3804	282
10	3804	282
0	3804	282

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

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)

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

eval31.0ms (0.5%)

Compiler: Compiled 3144 to 361 computations (88.5% saved)

prune22.0ms (0.4%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	198	11	209

Accuracy

100.0%

Counts

209 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	86.3%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
✓	49.5%	(/.f64 n (-.f64 n f))
✓	51.5%	(/.f64 f (-.f64 n f))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
✓	51.3%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	49.4%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	50.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
✓	51.8%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))
✓	48.5%	#s(literal 1 binary64)
✓	50.4%	#s(literal -1 binary64)

Compiler

Compiled 170 to 88 computations (48.2% saved)

regimes15.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	f
5.0ms	n
5.0ms	(/.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)

regimes15.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

regimes8.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	f
4.0ms	n

Results

Accuracy	Segments	Branch
77.8%	3	`f`
80.1%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
79.8%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.5%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.5%	3	`n`

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.1%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.9%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	n
1.0ms	f

Results

Accuracy	Segments	Branch
50.4%	1	`f`
50.4%	1	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch24.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3747698544346868700.0	1.445060964908333e+20
13.0ms	-3.2522240246716833e+25	-2.6313327897258672e+20

Results

13.0ms

256×

valid

Compiler

Compiled 335 to 266 computations (20.6% saved)

Precisions

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

ival-div: 2.0ms (31.1% of total)

ival-add: 2.0ms (31.1% of total)

ival-sub: 1.0ms (15.6% of total)

ival-neg: 1.0ms (15.6% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	23560895235187650.0	468016087399239230.0
12.0ms	-3.2522240246716833e+25	-2.6313327897258672e+20

Results

15.0ms

256×

valid

Compiler

Compiled 303 to 227 computations (25.1% saved)

Precisions

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

ival-div: 4.0ms (49% of total)

ival-add: 2.0ms (24.5% of total)

ival-sub: 1.0ms (12.3% of total)

ival-neg: 1.0ms (12.3% of total)

const: 0.0ms (0% of total)

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

bsearch48.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	23560895235187650.0	468016087399239230.0
12.0ms	-3.2522240246716833e+25	-2.6313327897258672e+20

Results

13.0ms

256×

valid

Compiler

Compiled 271 to 195 computations (28% saved)

Precisions

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

ival-div: 2.0ms (31.4% of total)

ival-add: 2.0ms (31.4% of total)

ival-sub: 1.0ms (15.7% of total)

ival-neg: 1.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3747698544346868700.0	1.445060964908333e+20
13.0ms	-3.2522240246716833e+25	-2.6313327897258672e+20

Results

13.0ms

256×

valid

Compiler

Compiled 271 to 202 computations (25.5% saved)

Precisions

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

ival-div: 2.0ms (30.9% of total)

ival-add: 2.0ms (30.9% of total)

ival-sub: 1.0ms (15.5% of total)

ival-neg: 1.0ms (15.5% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3747698544346868700.0	1.445060964908333e+20
13.0ms	-3.2522240246716833e+25	-2.6313327897258672e+20

Results

13.0ms

256×

valid

Compiler

Compiled 207 to 170 computations (17.9% saved)

Precisions

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

ival-div: 2.0ms (31.9% of total)

ival-add: 2.0ms (31.9% of total)

ival-sub: 1.0ms (15.9% of total)

ival-neg: 1.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	23560895235187650.0	468016087399239230.0
13.0ms	-3.2522240246716833e+25	-2.6313327897258672e+20

Results

14.0ms

256×

valid

Compiler

Compiled 143 to 138 computations (3.5% saved)

Precisions

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

ival-add: 3.0ms (39.1% of total)

ival-div: 2.0ms (26.1% of total)

ival-sub: 1.0ms (13% of total)

ival-neg: 1.0ms (13% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	133
1	81	133
2	90	133
3	96	133
4	100	133
5	101	133

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n #s(literal -4800000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 n #s(literal 4600000000000000000 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))))
(if (<=.f64 n #s(literal -280000000000000016777216 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 24500000000000000 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64))) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -280000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 27000000000000000 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -300000000000000008388608 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 3900000000000000000 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -115999999999999991611392 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 42000000000000000000 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -195000000000000002097152 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 195000000000000000 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 n #s(literal -4800000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 n #s(literal 4600000000000000000 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 n f) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))))
(if (<=.f64 n #s(literal -280000000000000016777216 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 24500000000000000 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64))) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -280000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 27000000000000000 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -300000000000000008388608 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 3900000000000000000 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -115999999999999991611392 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 42000000000000000000 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -195000000000000002097152 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 195000000000000000 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

soundness1.5s (24.4%)

Rules

3906×	`-lowering-.f32`
3906×	`-lowering-.f64`
2614×	`-lowering-.f32`
2614×	`-lowering-.f64`
2612×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	317	1673
1	1111	1420
2	3546	1366
0	8262	1366
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	5	13
1	37	13
2	334	13
3	5150	13
0	8041	13
0	140	542
1	475	490
2	1502	433
3	6923	433
0	8483	433

Stop Event

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

Compiler

Compiled 450 to 243 computations (46% saved)

preprocess52.0ms (0.9%)

Compiler: Compiled 318 to 124 computations (61% saved)

analyze15.0ms (0.3%)

sample641.0ms (10.8%)

preprocess134.0ms (2.3%)

explain53.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify64.0ms (1.1%)

localize23.0ms (0.4%)

series6.0ms (0.1%)

rewrite354.0ms (6%)

simplify216.0ms (3.6%)

eval65.0ms (1.1%)

prune102.0ms (1.7%)

simplify130.0ms (2.2%)

localize65.0ms (1.1%)

series12.0ms (0.2%)

rewrite344.0ms (5.8%)

simplify355.0ms (6%)

eval228.0ms (3.8%)

prune143.0ms (2.4%)

simplify162.0ms (2.7%)

localize56.0ms (0.9%)

series7.0ms (0.1%)

rewrite236.0ms (4%)

simplify236.0ms (4%)

eval88.0ms (1.5%)

prune98.0ms (1.6%)

simplify4.0ms (0.1%)

localize28.0ms (0.5%)

series5.0ms (0.1%)

rewrite190.0ms (3.2%)

simplify71.0ms (1.2%)

eval31.0ms (0.5%)

prune22.0ms (0.4%)

regimes15.0ms (0.3%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes23.0ms (0.4%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch24.0ms (0.4%)

bsearch25.0ms (0.4%)

bsearch48.0ms (0.8%)

bsearch24.0ms (0.4%)

bsearch24.0ms (0.4%)

bsearch24.0ms (0.4%)

simplify14.0ms (0.2%)

soundness1.5s (24.4%)

preprocess52.0ms (0.9%)

end0.0ms (0%)

Profiling