Metrics for subtraction fraction

analyze11.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated

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 10 to 8 computations (20% saved)

sample602.0ms (11.2%)

Memory

42.7MiB live, 760.2MiB allocated

Samples

356.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-div: 54.0ms (29.7% of total)

ival-add: 47.0ms (25.8% of total)

ival-sub: 38.0ms (20.9% of total)

ival-neg: 35.0ms (19.2% of total)

ival-true: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess69.0ms (1.3%)

Memory

-7.9MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Rules

424×	`times-frac`
310×	`div-sub`
304×	`lower-fma.f64`
304×	`lower-fma.f32`
214×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	61	35
2	171	35
3	414	35
4	1172	35
5	1446	35
6	1503	35
7	1571	35
8	1628	35
0	6	8
0	10	8
1	21	8
2	41	8
3	78	7
4	163	7
5	307	7
6	610	7
7	722	7
8	754	7
9	770	7
10	771	7
0	771	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

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

explain80.0ms (1.5%)

Memory

-13.8MiB live, 110.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

27.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-div: 5.0ms (38.7% of total)

ival-sub: 3.0ms (23.2% of total)

ival-add: 3.0ms (23.2% of total)

ival-neg: 2.0ms (15.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify26.0ms (0.5%)

Memory

26.9MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 f n)
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(neg.f64 (+.f64 f n))
✓	cost-diff	128	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
214×	`div-sub`
176×	`lower-*.f64`
176×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
(-.f64 f n)

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

localize27.0ms (0.5%)

Memory

-9.3MiB live, 29.2MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

ival-div: 8.0ms (65.2% of total)

ival-sub: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

ival-neg: 1.0ms (8.1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))>
#<alt (neg.f64 (+.f64 f n))>
#<alt (+.f64 f n)>
#<alt (-.f64 f n)>

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

Calls

24 calls:

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

rewrite213.0ms (4%)

Memory

8.7MiB live, 317.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 824×	`lower-*.f64`
2 824×	`lower-*.f32`
2 620×	`lower-/.f32`
2 618×	`lower-/.f64`
1 912×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	46	18
2	327	17
0	5530	17

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 572

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)

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

simplify565.0ms (10.5%)

Memory

-14.4MiB live, 597.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
3 728×	`lower-*.f64`
3 728×	`lower-*.f32`
1 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

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

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

eval144.0ms (2.7%)

Memory: -1.4MiB live, 169.2MiB allocated
Compiler: Compiled 15 932 to 1 649 computations (89.6% saved)

prune100.0ms (1.9%)

Memory

-23.8MiB live, 171.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	652	7	659
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	653	7	660

Accuracy

100.0%

Counts

660 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
▶	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	49.0%	(/.f64 (neg.f64 n) (-.f64 f n))
▶	53.1%	(/.f64 (neg.f64 f) (-.f64 f n))
	49.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
▶	47.9%	#s(literal 1 binary64)
▶	52.1%	#s(literal -1 binary64)

Compiler

Compiled 96 to 66 computations (31.3% saved)

simplify29.0ms (0.5%)

Memory

7.4MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 f n)
✓	cost-diff	0	(neg.f64 n)
✓	cost-diff	128	(/.f64 (neg.f64 n) (-.f64 f n))
✓	cost-diff	0	(-.f64 f n)
✓	cost-diff	0	(neg.f64 f)
✓	cost-diff	128	(/.f64 (neg.f64 f) (-.f64 f n))
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(/.f64 (+.f64 f n) (-.f64 n f))

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
134×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	43
0	20	43
1	33	43
2	53	41
3	79	41
4	126	41
5	260	41
6	504	41
7	661	41
8	693	41
9	721	41
10	730	41
0	730	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.7%)

Memory

-1.8MiB live, 75.9MiB allocated

Localize:

Found 9 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (43.9% of total)

ival-sub: 2.0ms (17.5% of total)

ival-add: 2.0ms (17.5% of total)

ival-neg: 2.0ms (17.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

8 → 168

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 f n) (-.f64 n f))>
#<alt (+.f64 f n)>
#<alt (-.f64 n f)>
#<alt (/.f64 (neg.f64 f) (-.f64 f n))>
#<alt (neg.f64 f)>
#<alt (-.f64 f n)>
#<alt (/.f64 (neg.f64 n) (-.f64 f n))>
#<alt (neg.f64 n)>

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

Calls

42 calls:

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

rewrite316.0ms (5.9%)

Memory

-19.9MiB live, 418.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 168×	`lower-*.f64`
4 168×	`lower-*.f32`
3 564×	`lower-/.f32`
3 558×	`lower-/.f64`
3 266×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	18	32
1	76	30
2	547	30
3	7318	30
0	8371	30

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

8 → 881

Calls

Call 1

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

simplify473.0ms (8.8%)

Memory

16.1MiB live, 689.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 980×	`lower-fma.f64`
11 980×	`lower-fma.f32`
3 690×	`lower-*.f64`
3 690×	`lower-*.f32`
2 844×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	1348
1	870	1283
2	2484	1157
3	7636	1157
0	8219	1075

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 156

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

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

eval262.0ms (4.9%)

Memory: 7.3MiB live, 271.6MiB allocated
Compiler: Compiled 27 623 to 2 246 computations (91.9% saved)

prune151.0ms (2.8%)

Memory

-10.3MiB live, 373.8MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 192	4	1 196
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	1 195	8	1 203

Accuracy

100.0%

Counts

1 203 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
▶	49.0%	(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	49.0%	(/.f64 n (-.f64 n f))
▶	53.1%	(/.f64 f (-.f64 n f))
▶	48.6%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	47.9%	#s(literal 1 binary64)
✓	52.1%	#s(literal -1 binary64)

Compiler

Compiled 89 to 61 computations (31.5% saved)

simplify64.0ms (1.2%)

Memory

23.4MiB live, 61.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

720×	`lower-fma.f32`
716×	`lower-fma.f64`
528×	`lower-*.f64`
528×	`lower-*.f32`
208×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
0	24	57
1	37	57
2	44	57
3	54	57
4	65	57
5	94	57
6	143	57
7	257	57
8	604	57
9	1018	57
10	1368	57
11	1599	57
12	1648	57
13	1675	57
14	1687	57
15	1687	57
0	1687	57

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (1%)

Memory

1.6MiB live, 116.5MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 f n)
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(/.f64 n (-.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 f n))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) f)
✓	accuracy	99.8%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))

Samples

32.0ms

256×

valid

Compiler

Compiled 59 to 18 computations (69.5% saved)

Precisions

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

ival-div: 10.0ms (56.9% of total)

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

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

ival-sub: 1.0ms (5.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-13.8MiB live, 22.5MiB allocated

Counts

8 → 180

Calls

Call 1

Inputs
#<alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal -2 binary64) f)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 f n))>
#<alt (/.f64 f n)>
#<alt (/.f64 f (-.f64 n f))>
#<alt (-.f64 n f)>
#<alt (/.f64 n (-.f64 n f))>
#<alt (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))>

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

Calls

45 calls:

Time	Variable		Point	Expression
4.0ms	n	@	0	(+ (* n (/ -2 f)) -1)
1.0ms	n	@	inf	(+ (* n (/ -2 f)) -1)
0.0ms	f	@	0	(+ (* n (/ -2 f)) -1)
0.0ms	f	@	-inf	(/ f n)
0.0ms	f	@	0	(/ -2 f)

rewrite302.0ms (5.6%)

Memory

7.7MiB live, 451.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 868×	`lower-fma.f32`
6 864×	`lower-fma.f64`
4 918×	`lower-*.f64`
4 918×	`lower-*.f32`
3 884×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
0	24	36
1	106	36
2	758	36
0	8661	36

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

8 → 501

Calls

Call 1

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

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

simplify340.0ms (6.3%)

Memory

19.9MiB live, 449.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 308×	`lower-fma.f64`
13 308×	`lower-fma.f32`
3 582×	`lower-*.f64`
3 582×	`lower-*.f32`
1 786×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1189
1	613	1167
2	1629	1086
3	5395	1070
0	8115	995

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 177

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

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

eval95.0ms (1.8%)

Memory: 9.4MiB live, 196.0MiB allocated
Compiler: Compiled 16 017 to 1 337 computations (91.7% saved)

prune100.0ms (1.9%)

Memory

-25.8MiB live, 169.2MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	826	0	826
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	826	8	834

Accuracy

100.0%

Counts

834 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.2%	(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓	49.0%	(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	49.0%	(/.f64 n (-.f64 n f))
✓	53.1%	(/.f64 f (-.f64 n f))
✓	48.6%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	47.9%	#s(literal 1 binary64)
✓	52.1%	#s(literal -1 binary64)

Compiler

Compiled 117 to 62 computations (47% saved)

regimes13.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

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)

regimes10.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	f
3.0ms	n
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
80.3%	3	`f`
74.7%	3	`n`
98.8%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.5%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes9.0ms (0.2%)

Memory

-36.3MiB live, 2.8MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

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

3 calls:

1.0ms	f
1.0ms	n
1.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
52.1%	1	`n`
52.1%	1	`f`
52.1%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999604	0.4678307724594199

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999604	0.4678307724594199

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999604	0.4678307724594199

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch13.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-0.9999999999999604	0.4678307724594199

Samples

4.0ms

240×

valid

Compiler

Compiled 133 to 131 computations (1.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify15.0ms (0.3%)

Memory

-13.0MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Rules

108×	`unsub-neg_binary64`
78×	`distribute-lft-neg-in_binary64`
68×	`neg-mul-1_binary64`
38×	`cancel-sign-sub_binary64`
38×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	82
1	39	82
2	53	82
3	66	78
4	82	78
5	113	78
6	140	78
7	188	78
8	249	78
9	289	78
10	316	78
11	336	78
12	340	78

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.1s (20.4%)

Memory

-10.4MiB live, 600.5MiB allocated

Rules

14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
11 980×	`lower-fma.f64`
11 980×	`lower-fma.f32`
4 168×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	1348
1	870	1283
2	2484	1157
3	7636	1157
0	8219	1075
0	10	32
0	18	32
1	76	30
2	547	30
3	7318	30
0	8371	30
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432
0	6	18
0	10	18
1	46	18
2	327	17
0	5530	17

Stop Event

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

Compiler

Compiled 170 to 82 computations (51.8% saved)

preprocess115.0ms (2.2%)

Memory: -4.7MiB live, 70.3MiB allocated
Compiler: Compiled 180 to 54 computations (70% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	12	43
0	20	43
1	33	43
2	53	41
3	79	41
4	126	41
5	260	41
6	504	41
7	661	41
8	693	41
9	721	41
10	730	41
0	730	41

Iter	Nodes	Cost
0	24	82
1	39	82
2	53	82
3	66	78
4	82	78
5	113	78
6	140	78
7	188	78
8	249	78
9	289	78
10	316	78
11	336	78
12	340	78

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	12	43
0	20	43
1	33	43
2	53	41
3	79	41
4	126	41
5	260	41
6	504	41
7	661	41
8	693	41
9	721	41
10	730	41
0	730	41

Iter	Nodes	Cost
0	24	82
1	39	82
2	53	82
3	66	78
4	82	78
5	113	78
6	140	78
7	188	78
8	249	78
9	289	78
10	316	78
11	336	78
12	340	78

analyze11.0ms (0.2%)

sample602.0ms (11.2%)

preprocess69.0ms (1.3%)

explain80.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.5%)

localize27.0ms (0.5%)

series5.0ms (0.1%)

rewrite213.0ms (4%)

simplify565.0ms (10.5%)

eval144.0ms (2.7%)

prune100.0ms (1.9%)

simplify29.0ms (0.5%)

localize37.0ms (0.7%)

series7.0ms (0.1%)

rewrite316.0ms (5.9%)

simplify473.0ms (8.8%)

eval262.0ms (4.9%)

prune151.0ms (2.8%)

simplify64.0ms (1.2%)

localize54.0ms (1%)

series12.0ms (0.2%)

rewrite302.0ms (5.6%)

simplify340.0ms (6.3%)

eval95.0ms (1.8%)

prune100.0ms (1.9%)

regimes13.0ms (0.2%)

regimes10.0ms (0.2%)

regimes3.0ms (0%)

regimes9.0ms (0.2%)

regimes1.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

simplify15.0ms (0.3%)

soundness1.1s (20.4%)

preprocess115.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	12	43
0	20	43
1	33	43
2	53	41
3	79	41
4	126	41
5	260	41
6	504	41
7	661	41
8	693	41
9	721	41
10	730	41
0	730	41

Iter	Nodes	Cost
0	24	82
1	39	82
2	53	82
3	66	78
4	82	78
5	113	78
6	140	78
7	188	78
8	249	78
9	289	78
10	316	78
11	336	78
12	340	78