Metrics for subtraction fraction

analyze37.0ms (0.6%)

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: 24.0ms

ival-add: 20.0ms (82.5% of total)

ival-sub: 1.0ms (4.1% of total)

ival-div: 1.0ms (4.1% of total)

ival-neg: 1.0ms (4.1% of total)

const: 0.0ms (0% of total)

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

sample692.0ms (11.5%)

Results

488.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-div: 64.0ms (29.5% of total)

ival-add: 54.0ms (24.9% of total)

ival-sub: 47.0ms (21.7% of total)

ival-neg: 41.0ms (18.9% of total)

const: 8.0ms (3.7% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess137.0ms (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))

explain98.0ms (1.6%)

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

56.0ms

512×

valid

Compiler

Compiled 56 to 20 computations (64.3% saved)

Precisions

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

ival-add: 5.0ms (33.1% of total)

ival-div: 4.0ms (26.5% of total)

ival-sub: 3.0ms (19.9% of total)

ival-neg: 3.0ms (19.9% 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)

simplify126.0ms (2.1%)

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)

localize30.0ms (0.5%)

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

22.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-sub: 4.0ms (51.5% of total)

ival-div: 2.0ms (25.8% of total)

ival-add: 2.0ms (25.8% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite263.0ms (4.3%)

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)))))

simplify229.0ms (3.8%)

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)))

eval58.0ms (1%)

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

prune78.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	388	8	396
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	388	9	397

Accuracy

100.0%

Counts

397 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	50.8%	(/.f64 (+.f64 f n) n)
	51.3%	(/.f64 n (-.f64 n f))
▶	50.5%	(/.f64 f (-.f64 n f))
▶	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
▶	99.8%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
	50.8%	(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64)))
	50.1%	#s(literal 1 binary64)
▶	49.4%	#s(literal -1 binary64)

Compiler

Compiled 137 to 85 computations (38% saved)

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
✓	cost-diff	512	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
✓	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

1046×	`fnmadd-define`
916×	`fma-define`
774×	`sum3-define`
772×	`fmsub-define`
740×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	34	73
2	53	71
3	108	71
4	228	71
5	474	71
6	937	71
7	1558	71
8	2512	71
9	3525	71
10	4016	71
11	4037	71
12	4056	71
13	4064	71
0	4064	71

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize105.0ms (1.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n 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

83.0ms

256×

valid

Compiler

Compiled 89 to 15 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (41.6% of total)

ival-mult: 6.0ms (31.2% of total)

ival-add: 3.0ms (15.6% of total)

ival-sub: 2.0ms (10.4% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Counts

10 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite358.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3670×	`/-lowering-/.f32`
3670×	`/-lowering-/.f64`
3438×	`-lowering-.f32`
3438×	`-lowering-.f64`
1598×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	94	51
2	919	51
0	8588	51

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 888

Calls

Call 1

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

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

simplify492.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

2128×	`fma-lowering-fma.f32`
2128×	`fma-lowering-fma.f64`
2102×	`-lowering-.f32`
2102×	`-lowering-.f64`
1812×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	476	2508
1	1703	2109
2	5317	2028
0	8347	2028

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval221.0ms (3.7%)

Compiler: Compiled 37899 to 2721 computations (92.8% saved)

prune158.0ms (2.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1499	2	1501
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	1501	9	1510

Accuracy

100.0%

Counts

1510 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	50.8%	(/.f64 (+.f64 f n) n)
▶	51.3%	(/.f64 n (-.f64 n f))
✓	50.5%	(/.f64 f (-.f64 n f))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
▶	86.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))))
▶	50.8%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))
▶	50.1%	#s(literal 1 binary64)
✓	49.4%	#s(literal -1 binary64)

Compiler

Compiled 71 to 46 computations (35.2% saved)

simplify143.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 n (-.f64 n f))
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	256	(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
✓	cost-diff	256	(/.f64 (-.f64 n f) (*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) n)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -2 binary64) n) f)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))

Rules

2750×	`-lowering-.f32`
2750×	`-lowering-.f64`
1482×	`sum3-define`
1452×	`fnmadd-define`
1210×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	38	70
2	90	66
3	275	60
4	614	60
5	1388	60
6	4179	60
0	8587	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize81.0ms (1.3%)

Localize:

Found 9 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 (/.f64 n f) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(/.f64 (-.f64 n f) (*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))))
✓	accuracy	87.1%	(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
✓	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)
✓	accuracy	99.6%	(/.f64 (*.f64 #s(literal -2 binary64) n) f)

Results

62.0ms

256×

valid

Compiler

Compiled 78 to 16 computations (79.5% saved)

Precisions

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

ival-div: 9.0ms (49% of total)

ival-mult: 5.0ms (27.2% of total)

ival-add: 3.0ms (16.3% of total)

ival-sub: 1.0ms (5.4% of total)

const: 1.0ms (5.4% of total)

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

series11.0ms (0.2%)

Counts

9 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(* f (+ (/ n f) 1))
1.0ms	f	@	-inf	(/ (- n f) (* f (+ (/ n f) 1)))
0.0ms	n	@	inf	(+ -1 (/ (* -2 n) f))
0.0ms	n	@	inf	(/ (* -2 n) f)
0.0ms	f	@	-inf	(/ 1 (/ (- n f) (* f (+ (/ n f) 1))))

rewrite241.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3690×	`/-lowering-/.f32`
3690×	`/-lowering-/.f64`
3488×	`-lowering-.f32`
3488×	`-lowering-.f64`
1634×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	104	53
2	898	44
0	9133	44

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 448

Calls

Call 1

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

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

simplify219.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2506×	`-lowering-.f32`
2506×	`-lowering-.f64`
1972×	`fnmadd-define`
1488×	`fma-lowering-fma.f32`
1488×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	1582
1	1044	1388
2	3376	1334
0	8203	1334

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval86.0ms (1.4%)

Compiler: Compiled 13644 to 1731 computations (87.3% saved)

prune105.0ms (1.7%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	727	1	728
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	728	9	737

Accuracy

100.0%

Counts

737 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	50.8%	(/.f64 (+.f64 f n) n)
▶	86.3%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64)))
✓	51.3%	(/.f64 n (-.f64 n f))
✓	50.5%	(/.f64 f (-.f64 n f))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
✓	50.8%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))
✓	50.1%	#s(literal 1 binary64)
✓	49.4%	#s(literal -1 binary64)

Compiler

Compiled 69 to 45 computations (34.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	12	28
0	12	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize51.0ms (0.8%)

Localize:

Found 4 expressions of interest:

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

Results

42.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

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

ival-div: 4.0ms (54.8% of total)

ival-add: 3.0ms (41.1% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite175.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3100×	`-lowering-.f32`
3100×	`-lowering-.f64`
2970×	`/-lowering-/.f32`
2970×	`/-lowering-/.f64`
1830×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	49	24
2	415	24
0	8672	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 284

Calls

Call 1

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

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

simplify471.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

3672×	`-lowering-.f32`
3672×	`-lowering-.f64`
1932×	`sum4-define`
1328×	`sum5-define`
1210×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	626
1	436	543
2	1348	508
3	6562	508
0	8108	508

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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

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

eval51.0ms (0.9%)

Compiler: Compiled 10608 to 872 computations (91.8% saved)

prune47.0ms (0.8%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	426	0	426
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	426	9	435

Accuracy

100.0%

Counts

435 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	50.8%	(/.f64 (+.f64 f n) n)
✓	86.3%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64)))
✓	51.3%	(/.f64 n (-.f64 n f))
✓	50.5%	(/.f64 f (-.f64 n f))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
✓	50.8%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))
✓	50.1%	#s(literal 1 binary64)
✓	49.4%	#s(literal -1 binary64)

Compiler

Compiled 165 to 78 computations (52.7% saved)

regimes16.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

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)

regimes11.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.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 (+.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	f
3.0ms	n
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

Calls

2 calls:

3.0ms	n
3.0ms	f

Results

Accuracy	Segments	Branch
77.2%	3	`f`
77.8%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.7%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	f
2.0ms	n

Results

Accuracy	Segments	Branch
76.3%	3	`f`
77.2%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.0%	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
49.4%	1	`f`
49.4%	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
13.0ms	1.634886512039536e-74	3.3007898865945656e-71
10.0ms	-2.4138514627545012e-55	-3.093242569612192e-57

Results

15.0ms

240×

valid

Compiler

Compiled 285 to 205 computations (28.1% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.634886512039536e-74	3.3007898865945656e-71
10.0ms	-2.4138514627545012e-55	-3.093242569612192e-57

Results

16.0ms

240×

valid

Compiler

Compiled 255 to 160 computations (37.3% saved)

Precisions

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

ival-neg: 3.0ms (36.8% of total)

ival-div: 2.0ms (24.6% of total)

ival-add: 2.0ms (24.6% of total)

ival-sub: 1.0ms (12.3% 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
12.0ms	1.634886512039536e-74	3.3007898865945656e-71
10.0ms	-2.4138514627545012e-55	-3.093242569612192e-57

Results

15.0ms

240×

valid

Compiler

Compiled 195 to 145 computations (25.6% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.634886512039536e-74	3.3007898865945656e-71
10.0ms	-2.4138514627545012e-55	-3.093242569612192e-57

Results

15.0ms

240×

valid

Compiler

Compiled 135 to 130 computations (3.7% saved)

Precisions

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

ival-div: 2.0ms (33.1% of total)

ival-add: 2.0ms (33.1% of total)

ival-sub: 1.0ms (16.6% of total)

ival-neg: 1.0ms (16.6% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	83
1	59	83
2	62	83
3	64	83
4	65	83

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 -7509100025308133/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 2486616182048933/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64))) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -2484628684844603/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 2864581841720371/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -6349606639047319/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 7708510164351693/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056 binary64)) (/.f64 f (-.f64 n f)) #s(literal 1 binary64)))
(if (<=.f64 n #s(literal -7453886054533809/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 1025729175095185/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 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 -7509100025308133/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 2486616182048933/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64))) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -2484628684844603/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 2864581841720371/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -6349606639047319/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 7708510164351693/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056 binary64)) (/.f64 f (-.f64 n f)) #s(literal 1 binary64)))
(if (<=.f64 n #s(literal -7453886054533809/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 1025729175095185/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

soundness952.0ms (15.8%)

Rules

3906×	`-lowering-.f32`
3906×	`-lowering-.f64`
2614×	`-lowering-.f32`
2614×	`-lowering-.f64`
2366×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	37	13
2	334	13
3	5150	13
0	8041	13
0	6	8
1	17	8
2	37	8
3	83	7
4	198	7
5	491	7
6	1119	7
7	2470	7
8	2816	7
9	2970	7
10	2989	7
11	2997	7
0	2997	7
0	140	542
1	475	490
2	1502	433
3	6923	433
0	8483	433

Stop Event

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

Compiler

Compiled 252 to 136 computations (46% saved)

preprocess43.0ms (0.7%)

Compiler: Compiled 206 to 90 computations (56.3% saved)

analyze37.0ms (0.6%)

sample692.0ms (11.5%)

preprocess137.0ms (2.3%)

explain98.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify126.0ms (2.1%)

localize30.0ms (0.5%)

series4.0ms (0.1%)

rewrite263.0ms (4.3%)

simplify229.0ms (3.8%)

eval58.0ms (1%)

prune78.0ms (1.3%)

simplify101.0ms (1.7%)

localize105.0ms (1.7%)

series17.0ms (0.3%)

rewrite358.0ms (5.9%)

simplify492.0ms (8.1%)

eval221.0ms (3.7%)

prune158.0ms (2.6%)

simplify143.0ms (2.4%)

localize81.0ms (1.3%)

series11.0ms (0.2%)

rewrite241.0ms (4%)

simplify219.0ms (3.6%)

eval86.0ms (1.4%)

prune105.0ms (1.7%)

simplify4.0ms (0.1%)

localize51.0ms (0.8%)

series2.0ms (0%)

rewrite175.0ms (2.9%)

simplify471.0ms (7.8%)

eval51.0ms (0.9%)

prune47.0ms (0.8%)

regimes16.0ms (0.3%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

bsearch24.0ms (0.4%)

bsearch25.0ms (0.4%)

bsearch24.0ms (0.4%)

bsearch24.0ms (0.4%)

simplify11.0ms (0.2%)

soundness952.0ms (15.8%)

preprocess43.0ms (0.7%)

end0.0ms (0%)

Profiling