Metrics for subtraction fraction

analyze43.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-add: 2.0ms (38.2% of total)

ival-sub: 1.0ms (19.1% of total)

ival-div: 1.0ms (19.1% of total)

ival-neg: 1.0ms (19.1% of total)

const: 0.0ms (0% of total)

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

sample745.0ms (14.6%)

Results

464.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-div: 62.0ms (28.4% of total)

ival-add: 57.0ms (26.1% of total)

ival-sub: 51.0ms (23.3% of total)

ival-neg: 39.0ms (17.8% of total)

const: 7.0ms (3.2% of total)

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

Bogosity

preprocess133.0ms (2.6%)

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	1875	42
5	3550	42
6	4850	42
7	4918	42
8	5399	42
9	5431	42
10	5431	42
11	5449	42
0	6	8
1	17	8
2	37	8
3	83	7
4	198	7
5	491	7
6	1120	7
7	2471	7
8	2817	7
9	2971	7
10	2990	7
11	2998	7
0	2998	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))

explain70.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

52.0ms

512×

valid

Compiler

Compiled 56 to 20 computations (64.3% saved)

Precisions

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

ival-neg: 7.0ms (38.3% of total)

ival-add: 5.0ms (27.3% of total)

ival-div: 4.0ms (21.9% of total)

ival-sub: 3.0ms (16.4% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify64.0ms (1.3%)

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	1664	15
11	2895	15
12	2897	15
13	2935	15
14	3304	15
15	3320	15
0	3320	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)

localize101.0ms (2%)

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

92.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (39.3% of total)

ival-add: 2.0ms (39.3% of total)

ival-sub: 1.0ms (19.6% 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))

rewrite303.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2614×	`-lowering-.f32`
2614×	`-lowering-.f64`
2366×	`/-lowering-/.f32`
2366×	`/-lowering-/.f64`
1090×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	37	13
2	336	13
3	5172	13
0	8194	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 324

Calls

Call 1

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

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

simplify240.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	542
1	479	490
2	1504	433
3	6922	433
0	8487	433

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval45.0ms (0.9%)

Compiler: Compiled 10026 to 972 computations (90.3% saved)

prune90.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

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

Accuracy

100.0%

Counts

397 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	52.4%	(/.f64 (+.f64 f n) n)
▶	87.4%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
	52.8%	(/.f64 n (-.f64 n f))
▶	49.4%	(/.f64 f (-.f64 n f))
	49.4%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
	51.7%	#s(literal 1 binary64)
▶	48.3%	#s(literal -1 binary64)

Compiler

Compiled 129 to 85 computations (34.1% saved)

simplify173.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2050×	`-lowering-.f32`
2050×	`-lowering-.f64`
1984×	`fnmsub-define`
1816×	`sum4-define`
1748×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	40	65
2	76	65
3	171	65
4	265	65
5	533	65
6	2035	65
7	6279	65
0	8012	65

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize115.0ms (2.2%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	accuracy	100.0%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
✓	accuracy	87.9%	(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 (+.f64 f n) n)
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(/.f64 f (-.f64 n f))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))

Results

94.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 79 to 15 computations (81% saved)

Precisions

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

ival-div: 11.0ms (56.7% of total)

ival-mult: 3.0ms (15.5% of total)

ival-sub: 2.0ms (10.3% of total)

ival-add: 2.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Counts

10 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	f	@	0	(/ f (- n f))
1.0ms	n	@	-inf	(* n (+ 1 (/ f n)))
0.0ms	f	@	-inf	(/ 1 (- n f))
0.0ms	f	@	inf	(* n (+ 1 (/ f n)))
0.0ms	n	@	inf	(/ f (- n f))

rewrite335.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4272×	`-lowering-.f32`
4272×	`-lowering-.f64`
3418×	`/-lowering-/.f32`
3418×	`/-lowering-/.f64`
1550×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	99	45
2	854	45
0	9299	45

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 915

Calls

Call 1

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

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

simplify331.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

2876×	`-lowering-.f32`
2876×	`-lowering-.f64`
2380×	`+-lowering-+.f64`
2380×	`+-lowering-+.f32`
1624×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	1902
1	1090	1657
2	3273	1533
0	8452	1533

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (+.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 (/.f64 (.f64 #s(literal -2 binary64) n) f) f))))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (+.f64 (.f64 n (+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) n) f) f) f) (/.f64 #s(literal -2 binary64) (.f64 f f)))) (/.f64 #s(literal -2 binary64) f))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 f (+.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal -2 binary64) f) n))) n))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+.f64 (.f64 (/.f64 (/.f64 (.f64 f f) n) n) (+.f64 (/.f64 (.f64 f #s(literal 2 binary64)) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 f #s(literal 2 binary64)) n)))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 f (+.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal -2 binary64) 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 (.f64 #s(literal -2 binary64) f) n)))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) 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 (.f64 #s(literal -2 binary64) f) n))) n))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 (.f64 (/.f64 (/.f64 (.f64 f f) n) n) (+.f64 (/.f64 (.f64 f #s(literal 2 binary64)) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 f #s(literal 2 binary64)) n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f)) (/.f64 (.f64 n (.f64 #s(literal -2 binary64) n)) (.f64 f f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) n) f))) (.f64 n (+.f64 (/.f64 #s(literal -1 binary64) f) (.f64 n (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) n) f) f) f))))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) n) f))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 n (+.f64 (.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 n #s(literal 2 binary64)) (/.f64 (.f64 n (.f64 n (+.f64 (.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)))) f)) f))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(+.f64 (.f64 n (.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f))
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(+.f64 (.f64 n (+.f64 (neg.f64 (.f64 n (/.f64 n (pow.f64 f #s(literal 4 binary64))))) (.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 f f))))) (/.f64 #s(literal -1 binary64) f))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ 1 (/ f n)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
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eval280.0ms (5.5%)

Compiler: Compiled 30607 to 2158 computations (92.9% saved)

prune170.0ms (3.3%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1462	1	1463
Fresh	0	3	3
Picked	0	5	5
Done	0	1	1
Total	1462	10	1472

Accuracy

100.0%

Counts

1472 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	52.4%	(/.f64 (+.f64 f n) n)
✓	87.4%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
▶	52.8%	(/.f64 n (-.f64 n f))
✓	49.4%	(/.f64 f (-.f64 n f))
▶	49.1%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
▶	49.4%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
▶	51.7%	#s(literal 1 binary64)
✓	48.3%	#s(literal -1 binary64)

Compiler

Compiled 76 to 50 computations (34.2% saved)

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 7 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 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

860×	`fnmadd-define`
748×	`fma-define`
568×	`fnmsub-define`
568×	`fmsub-define`
524×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	22	40
2	34	40
3	54	40
4	79	40
5	143	40
6	263	40
7	494	40
8	1203	40
9	2088	40
10	2456	40
11	2569	40
12	2757	40
13	2832	40
14	2848	40
0	2848	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize65.0ms (1.3%)

Localize:

Found 7 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 (*.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

47.0ms

256×

valid

Compiler

Compiled 44 to 13 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 6.0ms (49.5% of total)

ival-sub: 2.0ms (16.5% of total)

ival-mult: 2.0ms (16.5% of total)

ival-add: 1.0ms (8.3% of total)

const: 1.0ms (8.3% of total)

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

series11.0ms (0.2%)

Counts

7 → 156

Calls

Call 1

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

39 calls:

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

rewrite260.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3988×	`-lowering-.f32`
3988×	`-lowering-.f64`
3308×	`/-lowering-/.f32`
3308×	`/-lowering-/.f64`
1310×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	72	30
2	637	30
0	8322	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 313

Calls

Call 1

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

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

simplify201.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

3508×	`-lowering-.f32`
3508×	`-lowering-.f64`
1262×	`div-sub`
1158×	`--lowering--.f32`
1158×	`--lowering--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	846
1	451	805
2	1287	755
3	4814	753
0	8184	753

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

eval52.0ms (1%)

Compiler: Compiled 8285 to 916 computations (88.9% saved)

prune71.0ms (1.4%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	469	0	469
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	469	10	479

Accuracy

100.0%

Counts

479 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	52.4%	(/.f64 (+.f64 f n) n)
✓	87.4%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
✓	52.8%	(/.f64 n (-.f64 n f))
✓	49.4%	(/.f64 f (-.f64 n f))
✓	49.1%	(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓	49.4%	(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓	51.7%	#s(literal 1 binary64)
✓	48.3%	#s(literal -1 binary64)

Compiler

Compiled 142 to 75 computations (47.2% saved)

regimes11.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

Calls

2 calls:

3.0ms	n
3.0ms	f

Results

Accuracy	Segments	Branch
78.7%	3	`f`
79.7%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.6%	3	`n`

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.6%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
79.3%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.3%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
79.0%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	n
1.0ms	f

Results

Accuracy	Segments	Branch
48.3%	1	`f`
48.3%	1	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch32.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.2204322065105308e-76	8.511898294344831e-67
17.0ms	-947080674630.9232	-2.402758313202768e-17

Results

19.0ms

320×

valid

Compiler

Compiled 375 to 270 computations (28% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.9514153476550555e-52	1.082257170050752e-45
18.0ms	-947080674630.9232	-2.402758313202768e-17

Results

19.0ms

320×

valid

Compiler

Compiled 335 to 210 computations (37.3% saved)

Precisions

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

ival-sub: 2.0ms (25.1% of total)

ival-div: 2.0ms (25.1% of total)

ival-add: 2.0ms (25.1% of total)

ival-neg: 2.0ms (25.1% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.9514153476550555e-52	1.082257170050752e-45
15.0ms	-947080674630.9232	-2.402758313202768e-17

Results

19.0ms

320×

valid

Compiler

Compiled 335 to 210 computations (37.3% saved)

Precisions

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

ival-div: 3.0ms (33.2% of total)

ival-sub: 2.0ms (22.1% of total)

ival-add: 2.0ms (22.1% of total)

ival-neg: 2.0ms (22.1% 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
12.0ms	2.9514153476550555e-52	1.082257170050752e-45
9.0ms	-1560944249006732.0	-141921016619665.78

Results

14.0ms

240×

valid

Compiler

Compiled 195 to 145 computations (25.6% saved)

Precisions

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

ival-div: 2.0ms (29.2% of total)

ival-neg: 2.0ms (29.2% of total)

ival-sub: 1.0ms (14.6% of total)

ival-add: 1.0ms (14.6% of total)

const: 0.0ms (0% of total)

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

bsearch56.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.2204322065105308e-76	8.511898294344831e-67
40.0ms	-947080674630.9232	-2.402758313202768e-17

Results

31.0ms

320×

valid

Compiler

Compiled 255 to 210 computations (17.6% saved)

Precisions

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

ival-sub: 2.0ms (25.9% of total)

ival-div: 2.0ms (25.9% of total)

ival-add: 2.0ms (25.9% of total)

ival-neg: 1.0ms (13% 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
14.0ms	2.2204322065105308e-76	8.511898294344831e-67
8.0ms	-1560944249006732.0	-141921016619665.78

Results

13.0ms

240×

valid

Compiler

Compiled 135 to 130 computations (3.7% saved)

Precisions

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

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

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

ival-add: 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)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	116
1	74	116
2	83	116
3	89	116
4	93	116
5	94	116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n #s(literal -3713820117856141/77371252455336267181195264 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 6605074233567479/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f)) (/.f64 (+.f64 f n) n)))
(if (<=.f64 n #s(literal -7253554917687775/604462909807314587353088 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 2358995333375681/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (/.f64 f (-.f64 n f)) (/.f64 (+.f64 f n) n)))
(if (<=.f64 n #s(literal -940834429856889/9903520314283042199192993792 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 2468256835981809/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -250000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 f (-.f64 n f)) #s(literal 1 binary64)))
(if (<=.f64 n #s(literal -7156840852118605/19342813113834066795298816 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 6874996420128891/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64)))
(if (<=.f64 n #s(literal -145000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 5828006676677187/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n #s(literal -3713820117856141/77371252455336267181195264 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 6605074233567479/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f)) (/.f64 (+.f64 f n) n)))
(if (<=.f64 n #s(literal -7253554917687775/604462909807314587353088 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 2358995333375681/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (/.f64 f (-.f64 n f)) (/.f64 (+.f64 f n) n)))
(if (<=.f64 n #s(literal -940834429856889/9903520314283042199192993792 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 2468256835981809/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -250000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 f (-.f64 n f)) #s(literal 1 binary64)))
(if (<=.f64 n #s(literal -7156840852118605/19342813113834066795298816 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 6874996420128891/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64)))
(if (<=.f64 n #s(literal -145000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 5828006676677187/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

soundness827.0ms (16.2%)

Rules

3906×	`-lowering-.f32`
3906×	`-lowering-.f64`
2876×	`-lowering-.f32`
2876×	`-lowering-.f64`
2380×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	1902
1	1090	1657
2	3273	1533
0	8452	1533
0	6	8
1	17	8
2	37	8
3	83	7
4	198	7
5	491	7
6	1120	7
7	2471	7
8	2817	7
9	2971	7
10	2990	7
11	2998	7
0	2998	7
0	140	542
1	479	490
2	1504	433
3	6922	433
0	8487	433

Stop Event

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

Compiler

Compiled 360 to 195 computations (45.8% saved)

preprocess57.0ms (1.1%)

Compiler: Compiled 264 to 116 computations (56.1% saved)

analyze43.0ms (0.8%)

sample745.0ms (14.6%)

preprocess133.0ms (2.6%)

explain70.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify64.0ms (1.3%)

localize101.0ms (2%)

series4.0ms (0.1%)

rewrite303.0ms (5.9%)

simplify240.0ms (4.7%)

eval45.0ms (0.9%)

prune90.0ms (1.8%)

simplify173.0ms (3.4%)

localize115.0ms (2.2%)

series16.0ms (0.3%)

rewrite335.0ms (6.5%)

simplify331.0ms (6.5%)

eval280.0ms (5.5%)

prune170.0ms (3.3%)

simplify69.0ms (1.3%)

localize65.0ms (1.3%)

series11.0ms (0.2%)

rewrite260.0ms (5.1%)

simplify201.0ms (3.9%)

eval52.0ms (1%)

prune71.0ms (1.4%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch32.0ms (0.6%)

bsearch33.0ms (0.7%)

bsearch31.0ms (0.6%)

bsearch24.0ms (0.5%)

bsearch56.0ms (1.1%)

bsearch24.0ms (0.5%)

simplify11.0ms (0.2%)

soundness827.0ms (16.2%)

preprocess57.0ms (1.1%)

end0.0ms (0%)

Profiling