Metrics for subtraction fraction

analyze18.0ms (0.4%)

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: 8.0ms

ival-add: 4.0ms (49.6% of total)

ival-sub: 1.0ms (12.4% of total)

ival-div: 1.0ms (12.4% of total)

ival-neg: 1.0ms (12.4% of total)

const: 0.0ms (0% of total)

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

sample633.0ms (12.9%)

Results

424.0ms

8256×

valid

Precisions

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

ival-div: 79.0ms (33.7% of total)

ival-add: 58.0ms (24.7% of total)

ival-sub: 47.0ms (20% of total)

ival-neg: 41.0ms (17.5% of total)

const: 7.0ms (3% of total)

backward-pass: 2.0ms (0.9% of total)

Bogosity

preprocess134.0ms (2.7%)

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))

explain72.0ms (1.5%)

FPErrors

Click to see full error table

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

Results

32.0ms

512×

valid

Compiler

Compiled 56 to 20 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (30.7% of total)

ival-sub: 3.0ms (23% of total)

ival-add: 3.0ms (23% of total)

ival-neg: 3.0ms (23% 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)

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize36.0ms (0.7%)

Localize:

Found 3 expressions of interest:

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

Results

29.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-sub: 16.0ms (81.8% of total)

ival-div: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite321.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 327

Calls

Call 1

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

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

simplify214.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval58.0ms (1.2%)

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

prune86.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	391	8	399
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	391	9	400

Accuracy

100.0%

Counts

400 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	45.7%	(/.f64 (+.f64 f n) n)
▶	89.7%	(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))) (-.f64 n f))
	46.2%	(/.f64 n (-.f64 n f))
▶	55.9%	(/.f64 f (-.f64 n f))
▶	46.2%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
	56.0%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
	45.0%	#s(literal 1 binary64)
▶	54.9%	#s(literal -1 binary64)

Compiler

Compiled 125 to 85 computations (32% saved)

simplify161.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 f n)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 f n))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(/.f64 (+.f64 f n) n)
✓	cost-diff	-128	(/.f64 f (-.f64 n f))
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 n f)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 n f))
✓	cost-diff	256	(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))
✓	cost-diff	256	(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))) (-.f64 n f))

Rules

2070×	`-lowering-.f32`
2070×	`-lowering-.f64`
1678×	`fma-lowering-fma.f32`
1678×	`fma-lowering-fma.f64`
1652×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	76
1	35	75
2	55	72
3	128	63
4	210	63
5	542	63
6	2134	63
7	6649	63
0	8507	63

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize96.0ms (2%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 f n)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 f n))
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 (+.f64 f n) n)
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(/.f64 f (-.f64 n f))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 n f))
✓	accuracy	100.0%	(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))) (-.f64 n f))
✓	accuracy	90.1%	(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))

Results

79.0ms

256×

valid

Compiler

Compiled 75 to 17 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 28.0ms (49.1% of total)

ival-mult: 23.0ms (40.3% of total)

ival-add: 4.0ms (7% of total)

ival-sub: 1.0ms (1.8% of total)

const: 1.0ms (1.8% of total)

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

series43.0ms (0.9%)

Counts

11 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
29.0ms	n	@	-inf	(+ 1 (* 2 (/ f n)))
1.0ms	n	@	inf	(/ f (- n f))
1.0ms	f	@	0	(* f (+ 1 (/ n f)))
0.0ms	n	@	-inf	(/ f (- n f))
0.0ms	f	@	-inf	(/ (* f (+ 1 (/ n f))) (- n f))

rewrite304.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4262×	`-lowering-.f32`
4262×	`-lowering-.f64`
3144×	`/-lowering-/.f32`
3144×	`/-lowering-/.f64`
1700×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	102	60
2	891	48
0	9187	48

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 540

Calls

Call 1

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

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

simplify442.0ms (9%)

Algorithm

1×	egg-herbie

Rules

2750×	`-lowering-.f32`
2750×	`-lowering-.f64`
2006×	`/-lowering-/.f32`
2006×	`/-lowering-/.f64`
1854×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	1409
1	775	1326
2	2361	1255
3	7896	1255
0	8807	1255

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval145.0ms (3%)

Compiler: Compiled 14835 to 1518 computations (89.8% saved)

prune132.0ms (2.7%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	884	2	886
Fresh	0	3	3
Picked	1	4	5
Done	0	1	1
Total	885	10	895

Accuracy

100.0%

Counts

895 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	45.7%	(/.f64 (+.f64 f n) n)
✓	89.7%	(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))) (-.f64 n f))
▶	46.2%	(/.f64 n (-.f64 n f))
✓	55.9%	(/.f64 f (-.f64 n f))
▶	55.5%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
▶	45.7%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
▶	56.0%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
▶	45.0%	#s(literal 1 binary64)
✓	54.9%	#s(literal -1 binary64)

Compiler

Compiled 105 to 72 computations (31.4% saved)

simplify91.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

1308×	`fnmadd-define`
1056×	`fma-define`
822×	`sum3-define`
760×	`fnmsub-define`
760×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	25	51
2	37	51
3	57	51
4	82	51
5	146	51
6	266	51
7	507	51
8	1238	51
9	2227	51
10	2950	51
11	3602	51
12	3819	51
13	3914	51
14	3986	51
15	4002	51
0	4002	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize60.0ms (1.2%)

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

Results

44.0ms

256×

valid

Compiler

Compiled 55 to 15 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 12.0ms (50.1% of total)

ival-mult: 6.0ms (25% of total)

ival-sub: 3.0ms (12.5% of total)

ival-add: 3.0ms (12.5% of total)

const: 1.0ms (4.2% of total)

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

series14.0ms (0.3%)

Counts

9 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	n	@	0	(/ n (- n f))
0.0ms	n	@	inf	(/ (* n -2) f)
0.0ms	n	@	-inf	(/ (* n -2) f)
0.0ms	n	@	inf	(* n -2)
0.0ms	n	@	-inf	(* n -2)

rewrite249.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3524×	`/-lowering-/.f32`
3524×	`/-lowering-/.f64`
3202×	`-lowering-.f32`
3202×	`-lowering-.f64`
1800×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	92	38
2	805	38
0	9035	38

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 294

Calls

Call 1

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

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

simplify199.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

3530×	`-lowering-.f32`
3530×	`-lowering-.f64`
1252×	`div-sub`
1160×	`--lowering--.f32`
1160×	`--lowering--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1020
1	455	976
2	1292	941
3	4787	935
0	8173	935

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval71.0ms (1.4%)

Compiler: Compiled 6714 to 802 computations (88.1% saved)

prune45.0ms (0.9%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	498	0	498
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	498	10	508

Accuracy

100.0%

Counts

508 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	45.7%	(/.f64 (+.f64 f n) n)
✓	89.7%	(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))) (-.f64 n f))
✓	46.2%	(/.f64 n (-.f64 n f))
✓	55.9%	(/.f64 f (-.f64 n f))
✓	55.5%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	45.7%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	56.0%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
✓	45.0%	#s(literal 1 binary64)
✓	54.9%	#s(literal -1 binary64)

Compiler

Compiled 141 to 75 computations (46.8% saved)

regimes12.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes9.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	f
3.0ms	n

Results

Accuracy	Segments	Branch
80.8%	3	`f`
78.4%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
80.8%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
80.7%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.4%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.2%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.1%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.0%	3	`f`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.5%)

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:

22.0ms	f
1.0ms	n

Results

Accuracy	Segments	Branch
54.9%	1	`n`
54.9%	1	`f`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch22.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	190709892498805.7	38011292531140070.0
11.0ms	-7.513647552612736e-56	-1.2117512664434075e-60

Results

12.0ms

240×

valid

Compiler

Compiled 299 to 226 computations (24.4% saved)

Precisions

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

ival-div: 2.0ms (32.9% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	190709892498805.7	38011292531140070.0
13.0ms	-7.513647552612736e-56	-1.2117512664434075e-60

Results

12.0ms

240×

valid

Compiler

Compiled 269 to 181 computations (32.7% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	190709892498805.7	38011292531140070.0
12.0ms	-7.513647552612736e-56	-1.2117512664434075e-60

Results

14.0ms

240×

valid

Compiler

Compiled 255 to 167 computations (34.5% saved)

Precisions

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

ival-neg: 3.0ms (38.6% of total)

ival-div: 2.0ms (25.7% of total)

ival-add: 2.0ms (25.7% of total)

ival-sub: 1.0ms (12.9% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	190709892498805.7	38011292531140070.0
12.0ms	-7.513647552612736e-56	-1.2117512664434075e-60

Results

13.0ms

240×

valid

Compiler

Compiled 255 to 182 computations (28.6% saved)

Precisions

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

ival-div: 2.0ms (34.1% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	190709892498805.7	38011292531140070.0
7.0ms	-3.161915876667139e-15	-1.4508222436321323e-15

Results

11.0ms

192×

valid

Compiler

Compiled 207 to 154 computations (25.6% saved)

Precisions

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

ival-add: 2.0ms (34.2% of total)

ival-sub: 1.0ms (17.1% of total)

ival-div: 1.0ms (17.1% of total)

ival-neg: 1.0ms (17.1% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	190709892498805.7	38011292531140070.0
12.0ms	-5.0254786330180426e-26	-2.6046053338102768e-33

Results

16.0ms

256×

valid

Compiler

Compiled 207 to 170 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 4.0ms (44.6% of total)

ival-div: 2.0ms (22.3% of total)

ival-sub: 1.0ms (11.1% of total)

ival-neg: 1.0ms (11.1% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	190709892498805.7	38011292531140070.0
7.0ms	-3.161915876667139e-15	-1.4508222436321323e-15

Results

10.0ms

192×

valid

Compiler

Compiled 111 to 106 computations (4.5% saved)

Precisions

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

ival-sub: 1.0ms (21.2% of total)

ival-div: 1.0ms (21.2% of total)

ival-add: 1.0ms (21.2% of total)

ival-neg: 1.0ms (21.2% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f #s(literal -8282095616148677/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 f (-.f64 n f)) (if (<=.f64 f #s(literal 460000000000000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal -2 binary64)) f))))
(if (<=.f64 f #s(literal -2042916918650007/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 f (-.f64 n f)) (if (<=.f64 f #s(literal 230000000000000 binary64)) (/.f64 n (-.f64 n f)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))))
(if (<=.f64 f #s(literal -6846532376016239/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (/.f64 f (-.f64 n f)) (if (<=.f64 f #s(literal 210000000000000 binary64)) (/.f64 n (-.f64 n f)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -7288244142210835/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 f (-.f64 n f)) (if (<=.f64 f #s(literal 540000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -5197367460935741/2535301200456458802993406410752 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 13500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -7992587079153375/713623846352979940529142984724747568191373312 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 200000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64)))
(if (<=.f64 f #s(literal -7352373481323731/2535301200456458802993406410752 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 195000000000000 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f #s(literal -8282095616148677/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 f (-.f64 n f)) (if (<=.f64 f #s(literal 460000000000000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 n #s(literal -2 binary64)) f))))
(if (<=.f64 f #s(literal -2042916918650007/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 f (-.f64 n f)) (if (<=.f64 f #s(literal 230000000000000 binary64)) (/.f64 n (-.f64 n f)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))))
(if (<=.f64 f #s(literal -6846532376016239/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (/.f64 f (-.f64 n f)) (if (<=.f64 f #s(literal 210000000000000 binary64)) (/.f64 n (-.f64 n f)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -7288244142210835/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 f (-.f64 n f)) (if (<=.f64 f #s(literal 540000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -5197367460935741/2535301200456458802993406410752 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 13500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -7992587079153375/713623846352979940529142984724747568191373312 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 200000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64)))
(if (<=.f64 f #s(literal -7352373481323731/2535301200456458802993406410752 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 195000000000000 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

soundness954.0ms (19.4%)

Rules

3906×	`-lowering-.f32`
3906×	`-lowering-.f64`
2750×	`-lowering-.f32`
2750×	`-lowering-.f64`
2006×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
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	230	1409
1	775	1326
2	2361	1255
3	7896	1255
0	8807	1255
0	140	542
1	475	502
2	1500	444
3	6914	444
0	8470	444

Stop Event

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

Compiler

Compiled 502 to 273 computations (45.6% saved)

preprocess49.0ms (1%)

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

analyze18.0ms (0.4%)

sample633.0ms (12.9%)

preprocess134.0ms (2.7%)

explain72.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify56.0ms (1.1%)

localize36.0ms (0.7%)

series4.0ms (0.1%)

rewrite321.0ms (6.5%)

simplify214.0ms (4.4%)

eval58.0ms (1.2%)

prune86.0ms (1.7%)

simplify161.0ms (3.3%)

localize96.0ms (2%)

series43.0ms (0.9%)

rewrite304.0ms (6.2%)

simplify442.0ms (9%)

eval145.0ms (3%)

prune132.0ms (2.7%)

simplify91.0ms (1.8%)

localize60.0ms (1.2%)

series14.0ms (0.3%)

rewrite249.0ms (5.1%)

simplify199.0ms (4.1%)

eval71.0ms (1.4%)

prune45.0ms (0.9%)

regimes12.0ms (0.3%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes24.0ms (0.5%)

bsearch22.0ms (0.4%)

bsearch24.0ms (0.5%)

bsearch23.0ms (0.5%)

bsearch23.0ms (0.5%)

bsearch18.0ms (0.4%)

bsearch25.0ms (0.5%)

bsearch18.0ms (0.4%)

simplify11.0ms (0.2%)

soundness954.0ms (19.4%)

preprocess49.0ms (1%)

end0.0ms (0%)

Profiling