Metrics for Expression, p6

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 41 to 33 computations (19.5% saved)

sample1.2s (17%)

Memory

44.9MiB live, 2 136.2MiB allocated

Samples

726.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 429.0ms

ival-<=: 192.0ms (44.8% of total)

ival-add: 114.0ms (26.6% of total)

ival-mult: 48.0ms (11.2% of total)

ival-and: 40.0ms (9.3% of total)

exact: 31.0ms (7.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess242.0ms (3.4%)

Memory

21.1MiB live, 59.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 512×	`distribute-rgt-in`
1 442×	`unsub-neg`
1 426×	`distribute-lft-in`
1 278×	`associate--r+`
940×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	132
1	150	126
2	449	126
3	2011	126
4	5325	126
5	6447	126
6	6863	126
7	7028	126
8	7070	126
9	7075	126
10	7130	126
11	7138	126
12	7138	126
13	7138	126
14	7530	126
15	7530	126
16	7530	126
0	9	9
1	17	9
2	53	9
3	154	9
4	281	9
5	282	9
0	282	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (+ a (+ b (+ c d))) 2)

Outputs
(* (+ a (+ b (+ c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Symmetry

(sort a b c d)

explain113.0ms (1.6%)

Memory

-52.6MiB live, 189.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
79	8	(-13.974925704474717 -2.7638728841802918 3.292944252363415 13.409485596593415)	46	(-13.659684035060033 -2.3526359373135928 3.0644438881336336 12.615566537921888)	`(+.f64 a (+.f64 b (+.f64 c d)))`
0	0	-	0	-	`a`
0	0	-	0	-	`d`
0	0	-	0	-	`(+.f64 c d)`
0	0	-	0	-	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
0	0	-	0	-	`(+.f64 b (+.f64 c d))`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 a (+.f64 b (+.f64 c d)))`	cancellation	41	91

Confusion

	Predicted +	Predicted -
+	37	88
-	4	127

Precision

0.9024390243902439

Recall

0.296

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	65	23
-	4	26	101

Precision?

0.7727272727272727

Recall?

0.816

Freqs

test

number	freq
0	215
1	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions

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

ival-add: 7.0ms (65.1% of total)

ival-mult: 3.0ms (27.9% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.3%	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify9.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 c d)
✓	cost-diff	(+.f64 b (+.f64 c d))
✓	cost-diff	(+.f64 a (+.f64 b (+.f64 c d)))
✓	cost-diff	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Rules

200×	`+-lowering-+.f64`
200×	`+-lowering-+.f32`
200×	`accelerator-lowering-fma.f32`
200×	`accelerator-lowering-fma.f64`
104×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	17	29
2	53	29
3	154	29
4	281	29
5	282	29
0	282	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ a (+ b (+ c d))) 2)
(+ a (+ b (+ c d)))
a
(+ b (+ c d))
b
(+ c d)
c
d
2

Outputs
(* (+ a (+ b (+ c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+ b (+ c d))
(+.f64 b (+.f64 c d))
b
(+ c d)
(+.f64 c d)
c
d
2
#s(literal 2 binary64)

localize31.0ms (0.4%)

Memory

-29.1MiB live, 48.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	100.0%	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
✓	accuracy	99.3%	(+.f64 b (+.f64 c d))
✓	accuracy	95.7%	(+.f64 a (+.f64 b (+.f64 c d)))

Samples

21.0ms

256×

valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

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

ival-add: 11.0ms (88.3% of total)

ival-mult: 1.0ms (8% 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

13.5MiB live, 13.5MiB allocated

Counts

4 → 156

Calls

Call 1

Inputs
#<alt (* (+ a (+ b (+ c d))) 2)>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ b (+ c d))>
#<alt (+ c d)>

Outputs
#<alt (* 2 (+ b (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* 2 (+ a (+ c d)))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* 2 (+ a (+ b d)))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* 2 (+ a (+ b c)))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (+ b (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt a>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (+ a (+ b d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (+ a (+ b c))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (+ c d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt b>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (+ b d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (+ b c)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt d>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt c>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt c>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt d>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	d	@	inf	(+ a (+ b (+ c d)))
0.0ms	b	@	-inf	(* (+ a (+ b (+ c d))) 2)
0.0ms	a	@	inf	(* (+ a (+ b (+ c d))) 2)
0.0ms	a	@	-inf	(* (+ a (+ b (+ c d))) 2)
0.0ms	b	@	inf	(* (+ a (+ b (+ c d))) 2)

rewrite408.0ms (5.8%)

Memory

-12.0MiB live, 464.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 242×	`accelerator-lowering-fma.f32`
6 242×	`accelerator-lowering-fma.f64`
4 710×	`-lowering-.f32`
4 710×	`-lowering-.f64`
3 658×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	54	24
2	565	24
0	8256	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 373

Calls

Call 1

Inputs
(* (+ a (+ b (+ c d))) 2)
(+ a (+ b (+ c d)))
(+ b (+ c d))
(+ c d)

Outputs
(+.f64 (.f64 a #s(literal 2 binary64)) (.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (.f64 (+.f64 c d) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 c d) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 a b)))
(+.f64 (.f64 #s(literal 2 binary64) b) (.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) (.f64 #s(literal 2 binary64) (+.f64 a d)))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))) (.f64 #s(literal 2 binary64) b))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b c))) (.f64 #s(literal 2 binary64) d))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b d))) (.f64 #s(literal 2 binary64) c))
(+.f64 (.f64 b #s(literal 2 binary64)) (.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 b c) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 a (+.f64 b c)) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 a (+.f64 b d)) #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64)))
(fma.f64 a #s(literal 2 binary64) (*.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)))
(fma.f64 b #s(literal 2 binary64) (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(fma.f64 (+.f64 c d) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) a (*.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))))
(fma.f64 #s(literal 2 binary64) (+.f64 c d) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c d)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 b c) (*.f64 #s(literal 2 binary64) (+.f64 a d)))
(fma.f64 #s(literal 2 binary64) (+.f64 a b) (*.f64 (+.f64 c d) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)) (*.f64 #s(literal 2 binary64) b))
(fma.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b c)) (*.f64 #s(literal 2 binary64) d))
(fma.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b d)) (*.f64 #s(literal 2 binary64) c))
(fma.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (-.f64 c d) (.f64 d d))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (fma.f64 b (.f64 b b) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (.f64 b b))) #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))
(fma.f64 (.f64 (+.f64 c d) (-.f64 c d)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (+.f64 b c) #s(literal 2 binary64) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(fma.f64 (+.f64 a b) #s(literal 2 binary64) (*.f64 (+.f64 c d) #s(literal 2 binary64)))
(fma.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64) (*.f64 b #s(literal 2 binary64)))
(fma.f64 (+.f64 a (+.f64 b c)) #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64)))
(fma.f64 (+.f64 a (+.f64 b d)) #s(literal 2 binary64) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 c (.f64 c c) (.f64 d (.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 c (-.f64 c d) (.f64 d d))) (.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 c d) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 c d)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 b (.f64 b b) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (.f64 b b))) (.f64 a #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 a (+.f64 c d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 b (+.f64 c d)) (+.f64 b (-.f64 (+.f64 c d) a)) (.f64 a a)) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 b (+.f64 c d)) (.f64 (+.f64 b (+.f64 c d)) (+.f64 b (+.f64 c d))) (.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 a (+.f64 c d)) b) (.f64 (+.f64 b (+.f64 a (+.f64 c d))) (.f64 (-.f64 (-.f64 a (+.f64 c d)) b) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 b (+.f64 c d)) (.f64 (+.f64 b (+.f64 c d)) (+.f64 b (+.f64 c d))) (.f64 a (.f64 a a)))) (fma.f64 (+.f64 b (+.f64 c d)) (+.f64 b (-.f64 (+.f64 c d) a)) (*.f64 a a)))
(/.f64 (.f64 (+.f64 b (+.f64 a (+.f64 c d))) (.f64 (-.f64 (-.f64 a (+.f64 c d)) b) #s(literal 2 binary64))) (-.f64 (-.f64 a (+.f64 c d)) b))
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(/.f64 (.f64 (fma.f64 (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d))) (.f64 (+.f64 c d) (.f64 (.f64 (+.f64 c d) (+.f64 c d)) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d))))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (.f64 b b)))) (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d))) (-.f64 (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d))) (.f64 b (.f64 b b))))))
(/.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d)))) (.f64 (fma.f64 (+.f64 c d) (+.f64 b (+.f64 c d)) (.f64 b b)) (-.f64 b (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (.f64 b b)))) (.f64 (fma.f64 (+.f64 c d) (+.f64 b (+.f64 c d)) (.f64 b b)) (-.f64 b (+.f64 c d))))
(/.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d)))) (.f64 (fma.f64 (+.f64 c d) (+.f64 b (+.f64 c d)) (.f64 b b)) (-.f64 b (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 (+.f64 c d) (+.f64 c d)) (fma.f64 (+.f64 c d) (+.f64 c d) (.f64 b b)))))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 c d) (+.f64 c d) (.f64 b b)) (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d)))) (fma.f64 (+.f64 c d) (+.f64 c d) (*.f64 b b)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))) #s(literal -1 binary64))
(.f64 (+.f64 b (+.f64 c d)) (.f64 (-.f64 b (+.f64 c d)) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d)))))
(*.f64 (+.f64 b (+.f64 c d)) (/.f64 (-.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))))
(.f64 (fma.f64 b (.f64 b b) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b))))
(.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (.f64 b b)) (.f64 (+.f64 b (+.f64 c d)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (.f64 b b)))))
(.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (.f64 b b)) (/.f64 (+.f64 b (+.f64 c d)) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b))))
(.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))))
(.f64 (neg.f64 (fma.f64 b (.f64 b b) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b)))))
(.f64 (neg.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) (+.f64 c d))))
(.f64 (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d (.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 d (-.f64 d (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c)))))
(*.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (.f64 b b))) (fma.f64 b (.f64 b b) (.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))) (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))))
(.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 c d) b)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 c d) b)))
(.f64 (.f64 (+.f64 b (+.f64 c d)) (+.f64 b (-.f64 c d))) (/.f64 #s(literal 1 binary64) (+.f64 b (-.f64 c d))))
(.f64 (/.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))) (+.f64 b (+.f64 c d)))
(.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d)))) (fma.f64 (.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)) (.f64 (+.f64 c d) (.f64 (-.f64 (+.f64 c d) b) (.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (fma.f64 (.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)) (-.f64 (.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b)))))
(.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d)))) (.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (.f64 b b)) (-.f64 (.f64 b b) (.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))) (-.f64 (.f64 b b) (.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(.f64 (/.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (.f64 (fma.f64 (+.f64 c d) (+.f64 b (+.f64 c d)) (.f64 b b)) (-.f64 b (+.f64 c d)))) (fma.f64 (+.f64 c d) (+.f64 b (+.f64 c d)) (*.f64 b b)))
(+.f64 c d)
(+.f64 d c)
(+.f64 (/.f64 (.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (.f64 d d) (-.f64 c d))))
(-.f64 (/.f64 (.f64 c c) (-.f64 c d)) (/.f64 (.f64 d d) (-.f64 c d)))
(-.f64 (/.f64 (.f64 d d) (-.f64 d c)) (/.f64 (.f64 c c) (-.f64 d c)))
(fma.f64 c (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d d) (-.f64 c d))))
(fma.f64 (.f64 c c) (/.f64 #s(literal 1 binary64) (-.f64 c d)) (neg.f64 (/.f64 (.f64 d d) (-.f64 c d))))
(fma.f64 (/.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d))) (+.f64 c d) (neg.f64 (/.f64 (*.f64 d d) (-.f64 c d))))
(fma.f64 (/.f64 (.f64 c c) (.f64 (fma.f64 c c (.f64 d (+.f64 c d))) (-.f64 c d))) (fma.f64 c c (.f64 d (+.f64 c d))) (neg.f64 (/.f64 (*.f64 d d) (-.f64 c d))))
(neg.f64 (neg.f64 (+.f64 c d)))
(/.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) (fma.f64 c (-.f64 c d) (.f64 d d)))
(/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (-.f64 c d))
(/.f64 (neg.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d)))) (neg.f64 (fma.f64 c (-.f64 c d) (.f64 d d))))
(/.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (-.f64 c d)))
(/.f64 (fma.f64 (.f64 d (.f64 d d)) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c))))) (.f64 (fma.f64 c (-.f64 c d) (.f64 d d)) (fma.f64 (.f64 d (.f64 d d)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c))))))
(/.f64 (.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) (.f64 (fma.f64 c c (.f64 d (+.f64 c d))) (-.f64 c d))) (.f64 (fma.f64 c (-.f64 c d) (.f64 d d)) (.f64 (fma.f64 c c (.f64 d (+.f64 c d))) (-.f64 c d))))
(/.f64 (.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) (.f64 (fma.f64 c c (.f64 d (+.f64 c d))) (-.f64 c d))) (.f64 (-.f64 c d) (fma.f64 (.f64 d d) (fma.f64 c c (.f64 d d)) (.f64 c (.f64 c (.f64 c c))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 c d)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 d c) (*.f64 (+.f64 c d) (-.f64 d c))))
(/.f64 (*.f64 (+.f64 c d) (-.f64 d c)) (-.f64 d c))
(/.f64 (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d))) (.f64 (-.f64 c d) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d))))
(/.f64 (-.f64 (.f64 (.f64 c c) (-.f64 c d)) (.f64 (-.f64 c d) (.f64 d d))) (*.f64 (-.f64 c d) (-.f64 c d)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 c (-.f64 c d) (.f64 d d)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (neg.f64 (-.f64 c d))))
(/.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 d c))) (neg.f64 (-.f64 d c)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 c c) (-.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 d d) (-.f64 c d)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 c c) (-.f64 c d)) (/.f64 (.f64 c c) (-.f64 c d)) (fma.f64 (/.f64 (.f64 d d) (-.f64 c d)) (/.f64 (.f64 d d) (-.f64 c d)) (.f64 (/.f64 (.f64 c c) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 c c) (-.f64 c d)) (/.f64 (.f64 c c) (-.f64 c d))) (.f64 (/.f64 (.f64 d d) (-.f64 c d)) (/.f64 (.f64 d d) (-.f64 c d)))) (fma.f64 c (/.f64 c (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d))))
(/.f64 (.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) #s(literal 1 binary64)) (fma.f64 c (-.f64 c d) (*.f64 d d)))
(/.f64 (.f64 (.f64 (+.f64 c d) (-.f64 c d)) #s(literal 1 binary64)) (-.f64 c d))
(/.f64 (.f64 (fma.f64 (.f64 d (.f64 d d)) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (-.f64 c d) (.f64 d d)))) (fma.f64 (.f64 d (.f64 d d)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c)))))
(/.f64 (.f64 (.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) (.f64 (fma.f64 c c (.f64 d (+.f64 c d))) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (fma.f64 c (-.f64 c d) (.f64 d d)))) (.f64 (fma.f64 c c (.f64 d (+.f64 c d))) (-.f64 c d)))
(/.f64 (.f64 (.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) (.f64 (fma.f64 c c (.f64 d (+.f64 c d))) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 c d))) (fma.f64 (.f64 d d) (fma.f64 c c (.f64 d d)) (.f64 c (.f64 c (.f64 c c)))))
(/.f64 (.f64 (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 c d))) (fma.f64 c c (*.f64 d d)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) #s(literal -1 binary64))
(.f64 (+.f64 c d) (.f64 (-.f64 c d) (/.f64 #s(literal 1 binary64) (-.f64 c d))))
(*.f64 (+.f64 c d) (/.f64 (-.f64 c d) (-.f64 c d)))
(.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 c (-.f64 c d) (*.f64 d d))))
(.f64 (fma.f64 c (-.f64 c d) (.f64 d d)) (.f64 (+.f64 c d) (/.f64 #s(literal 1 binary64) (fma.f64 c (-.f64 c d) (.f64 d d)))))
(.f64 (fma.f64 c (-.f64 c d) (.f64 d d)) (/.f64 (+.f64 c d) (fma.f64 c (-.f64 c d) (*.f64 d d))))
(.f64 (.f64 (+.f64 c d) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (-.f64 c d)))
(.f64 (neg.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (-.f64 c d) (*.f64 d d)))))
(.f64 (neg.f64 (.f64 (+.f64 c d) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c d))))
(*.f64 #s(literal 1 binary64) (+.f64 c d))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (-.f64 c d) (.f64 d d))) (fma.f64 c (.f64 c c) (.f64 d (*.f64 d d))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) (.f64 (+.f64 c d) (-.f64 c d)))
(.f64 (.f64 (+.f64 c d) (-.f64 d c)) (/.f64 #s(literal 1 binary64) (-.f64 d c)))
(.f64 (/.f64 (.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d))) (+.f64 c d))
(.f64 (/.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) (fma.f64 (.f64 d (-.f64 d c)) (.f64 d (.f64 (-.f64 d c) (.f64 d (-.f64 d c)))) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c))))) (fma.f64 (.f64 d (-.f64 d c)) (-.f64 (.f64 d (-.f64 d c)) (.f64 c c)) (.f64 c (.f64 c (*.f64 c c)))))
(.f64 (/.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) (.f64 (fma.f64 c (-.f64 c d) (.f64 d d)) (-.f64 (.f64 c c) (.f64 d (-.f64 d c))))) (-.f64 (.f64 c c) (.f64 d (-.f64 d c))))
(.f64 (/.f64 (.f64 (+.f64 c d) (-.f64 c d)) (.f64 (fma.f64 c c (.f64 d (+.f64 c d))) (-.f64 c d))) (fma.f64 c c (*.f64 d (+.f64 c d))))

simplify338.0ms (4.8%)

Memory

34.9MiB live, 388.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 904×	`accelerator-lowering-fma.f32`
6 904×	`accelerator-lowering-fma.f64`
3 448×	`-lowering-.f32`
3 448×	`-lowering-.f64`
2 444×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	890
1	436	890
2	1261	890
3	4083	878
0	8128	875

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* 2 b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+ a (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+ a (+ b c))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+ c d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+ b c)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
d
(+ c d)
(+ c d)
(+ c d)
c
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
c
(+ c d)
(+ c d)
(+ c d)
d
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))

Outputs
(* 2 (+ b (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 (+ a (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 (+ a (+ b d)))
(*.f64 #s(literal 2 binary64) (+.f64 b (+.f64 d a)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 (+ a (+ b c)))
(*.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 b (+.f64 d (fma.f64 a (/.f64 c a) a)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 b (+.f64 d (fma.f64 a (/.f64 c a) a)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 b (+.f64 d (fma.f64 a (/.f64 c a) a)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 c (+.f64 b (+.f64 d a)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b d))
(+.f64 b (+.f64 d a))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 c (+.f64 b (+.f64 d a)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b c))
(+.f64 b (+.f64 c a))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 c (+.f64 b (+.f64 d a)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ c d)
(+.f64 c d)
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 b (+.f64 c d))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 b (+.f64 c d))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 b (+.f64 c d))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 b (+.f64 c d))
(+ b d)
(+.f64 b d)
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 b (+.f64 c d))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 b (+.f64 c d))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 b (+.f64 c d))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 b (+.f64 c d))
(+ b c)
(+.f64 b c)
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 b (+.f64 c d))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 b (+.f64 c d))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 b (+.f64 c d))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 b (+.f64 c d))
d
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
c
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
c
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
d
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)

eval81.0ms (1.1%)

Memory: -8.9MiB live, 143.6MiB allocated
Compiler: Compiled 13 259 to 1 450 computations (89.1% saved)

prune69.0ms (1%)

Memory

10.8MiB live, 181.8MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	523	6	529
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	524	6	530

Accuracy

100.0%

Counts

530 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
	12.0%	(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
▶	12.0%	(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
▶	8.2%	(*.f64 (+.f64 a d) #s(literal 2 binary64))
▶	11.9%	(*.f64 c #s(literal 2 binary64))
▶	5.9%	(*.f64 b #s(literal 2 binary64))

Compiler

Compiled 116 to 88 computations (24.1% saved)

simplify52.0ms (0.7%)

Memory

-18.5MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 c d)
✓	cost-diff	(+.f64 a (+.f64 c d))
✓	cost-diff	(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
✓	cost-diff	(+.f64 a d)
✓	cost-diff	(*.f64 (+.f64 a d) #s(literal 2 binary64))
✓	cost-diff	(*.f64 c #s(literal 2 binary64))
✓	cost-diff	(*.f64 b #s(literal 2 binary64))
✓	cost-diff	(+.f64 a d)
✓	cost-diff	(+.f64 b c)
✓	cost-diff	(+.f64 (+.f64 b c) (+.f64 a d))
✓	cost-diff	(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))

Rules

200×	`+-lowering-+.f64`
200×	`+-lowering-+.f32`
200×	`accelerator-lowering-fma.f32`
200×	`accelerator-lowering-fma.f64`
102×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	31	67
2	85	67
3	202	67
4	252	67
5	252	67
0	252	67

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ (+ b c) (+ a d)) 2)
(+ (+ b c) (+ a d))
(+ b c)
b
c
(+ a d)
a
d
2
(* b 2)
b
2
(* c 2)
c
2
(* (+ a d) 2)
(+ a d)
a
d
2
(* (+ a (+ c d)) 2)
(+ a (+ c d))
a
(+ c d)
c
d
2

Outputs
(* (+ (+ b c) (+ a d)) 2)
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) #s(literal 2 binary64))
(+ (+ b c) (+ a d))
(+.f64 b (+.f64 a (+.f64 c d)))
(+ b c)
(+.f64 b c)
b
c
(+ a d)
(+.f64 a d)
a
d
2
#s(literal 2 binary64)
(* b 2)
(*.f64 b #s(literal 2 binary64))
b
2
#s(literal 2 binary64)
(* c 2)
(*.f64 c #s(literal 2 binary64))
c
2
#s(literal 2 binary64)
(* (+ a d) 2)
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(+ a d)
(+.f64 a d)
a
d
2
#s(literal 2 binary64)
(* (+ a (+ c d)) 2)
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
a
(+ c d)
(+.f64 c d)
c
d
2
#s(literal 2 binary64)

localize50.0ms (0.7%)

Memory

12.5MiB live, 90.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	100.0%	(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
✓	accuracy	98.0%	(+.f64 a (+.f64 c d))
✓	accuracy	100.0%	(+.f64 a d)
✓	accuracy	100.0%	(*.f64 (+.f64 a d) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 c #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 b #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 b c) (+.f64 a d))
✓	accuracy	100.0%	(+.f64 b c)
✓	accuracy	100.0%	(+.f64 a d)
✓	accuracy	100.0%	(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))

Samples

33.0ms

256×

valid

Compiler

Compiled 69 to 17 computations (75.4% saved)

Precisions

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

ival-mult: 7.0ms (56.4% of total)

ival-add: 5.0ms (40.3% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-15.9MiB live, 22.6MiB allocated

Counts

10 → 288

Calls

Call 1

Inputs
#<alt (* (+ (+ b c) (+ a d)) 2)>
#<alt (+ (+ b c) (+ a d))>
#<alt (+ b c)>
#<alt (+ a d)>
#<alt (* b 2)>
#<alt (* c 2)>
#<alt (* (+ a d) 2)>
#<alt (* (+ a (+ c d)) 2)>
#<alt (+ a (+ c d))>
#<alt (+ c d)>

Outputs
#<alt (* 2 (+ a (+ c d)))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* 2 (+ a (+ b d)))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* 2 (+ b (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* 2 (+ a (+ b c)))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (+ a (+ b d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (+ b (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt a>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (+ a (+ b c))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt c>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt b>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt b>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt c>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt d>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt a>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt a>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt d>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 d)>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt (* 2 (+ c d))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* 2 (+ a d))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* 2 (+ a c))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (+ c d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt a>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (+ a d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (+ a c)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt d>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt c>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt c>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt d>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	d	@	inf	(* (+ a (+ c d)) 2)
1.0ms	c	@	0	(* (+ a (+ c d)) 2)
0.0ms	b	@	0	(* b 2)
0.0ms	b	@	inf	(* b 2)
0.0ms	b	@	-inf	(* b 2)

rewrite388.0ms (5.5%)

Memory

-1.6MiB live, 634.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 632×	`/-lowering-/.f32`
4 632×	`/-lowering-/.f64`
4 004×	`-lowering-.f32`
4 004×	`-lowering-.f64`
3 572×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	86	48
2	905	48
0	8159	48

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 529

Calls

Call 1

Inputs
(* (+ (+ b c) (+ a d)) 2)
(+ (+ b c) (+ a d))
(+ b c)
(+ a d)
(* b 2)
(* c 2)
(* (+ a d) 2)
(* (+ a (+ c d)) 2)
(+ a (+ c d))
(+ c d)

Outputs
(+.f64 (.f64 b #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(+.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 b c)))
(+.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 b c) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) (.f64 (+.f64 a d) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) (.f64 #s(literal 2 binary64) d))
(+.f64 (.f64 (+.f64 b c) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))
(fma.f64 b #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(fma.f64 (+.f64 b c) #s(literal 2 binary64) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(fma.f64 (+.f64 a d) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 (+.f64 a d) #s(literal 2 binary64) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(fma.f64 #s(literal 2 binary64) (+.f64 b c) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 a d) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 #s(literal 2 binary64) (+.f64 a d) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a)) (*.f64 #s(literal 2 binary64) d))
(fma.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 d (.f64 d d) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 d (-.f64 d a)))) (.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 d (.f64 d d) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 d (-.f64 d a)))) (.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 a d) (-.f64 a d))) (/.f64 #s(literal 1 binary64) (-.f64 a d)) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 a d) (-.f64 a d))) (/.f64 #s(literal 1 binary64) (-.f64 a d)) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 d (.f64 d d) (.f64 a (.f64 a a))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 d (-.f64 d a)))) (.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 (.f64 (fma.f64 d (.f64 d d) (.f64 a (.f64 a a))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 d (-.f64 d a)))) (.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 (+.f64 a d) (-.f64 a d)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a d)) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 (.f64 (.f64 (+.f64 a d) (-.f64 a d)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a d)) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c (+.f64 a d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)) (.f64 (+.f64 b c) (+.f64 b c))) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 (+.f64 a d) (*.f64 (+.f64 a d) (+.f64 a d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (-.f64 c (+.f64 a d))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 b (+.f64 c (+.f64 a d))) (+.f64 b (-.f64 c (+.f64 a d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)) (.f64 (+.f64 b c) (+.f64 b c))) (.f64 (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 (+.f64 a d) (*.f64 (+.f64 a d) (+.f64 a d)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (-.f64 c (+.f64 a d))) (.f64 (.f64 (+.f64 b (+.f64 c (+.f64 a d))) (+.f64 b (-.f64 c (+.f64 a d)))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d))))) (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 b (+.f64 c (+.f64 a d))) (+.f64 b (-.f64 c (+.f64 a d))))) (+.f64 b (-.f64 c (+.f64 a d))))
(/.f64 (.f64 (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)))) #s(literal 2 binary64)) (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c))))
(/.f64 (.f64 (.f64 (+.f64 b (+.f64 c (+.f64 a d))) (+.f64 b (-.f64 c (+.f64 a d)))) #s(literal 2 binary64)) (+.f64 b (-.f64 c (+.f64 a d))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)))))) (neg.f64 (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 b (+.f64 c (+.f64 a d))) (+.f64 b (-.f64 c (+.f64 a d)))))) (neg.f64 (+.f64 b (-.f64 c (+.f64 a d)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b (+.f64 c (+.f64 a d))) (+.f64 b (-.f64 c (+.f64 a d)))) #s(literal 2 binary64))) (neg.f64 (+.f64 b (-.f64 c (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (.f64 b #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))) #s(literal 3 binary64))) (fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))) (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d)))) (.f64 (.f64 b #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) (.f64 #s(literal 2 binary64) (+.f64 b c))) (.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 b c))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 b c) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 b c) #s(literal 2 binary64)) (.f64 (+.f64 b c) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 b c) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) (.f64 #s(literal 2 binary64) (+.f64 b c)) (-.f64 (.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) (.f64 (+.f64 a d) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) d) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) (.f64 #s(literal 2 binary64) d)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 b c) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 b c) #s(literal 2 binary64)) (.f64 (+.f64 b c) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 b c) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 d #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64)) (.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 d #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))) (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))) (-.f64 (.f64 b #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d)))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (neg.f64 (-.f64 c d))))
(/.f64 (neg.f64 (-.f64 (.f64 d d) (.f64 c c))) (neg.f64 (-.f64 d c)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 c c) (-.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 d d) (-.f64 c d)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 c c) (-.f64 c d)) (/.f64 (.f64 c c) (-.f64 c d)) (fma.f64 (/.f64 (.f64 d d) (-.f64 c d)) (/.f64 (.f64 d d) (-.f64 c d)) (.f64 (/.f64 (.f64 c c) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 c c) (-.f64 c d)) (/.f64 (.f64 c c) (-.f64 c d))) (.f64 (/.f64 (.f64 d d) (-.f64 c d)) (/.f64 (.f64 d d) (-.f64 c d)))) (+.f64 (/.f64 (.f64 c c) (-.f64 c d)) (/.f64 (.f64 d d) (-.f64 c d))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) #s(literal -1 binary64))
(.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 d (-.f64 d c) (*.f64 c c))))
(.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 d d (-.f64 (.f64 c c) (.f64 c d)))))
(.f64 (.f64 (+.f64 c d) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (-.f64 c d)))
(.f64 (neg.f64 (fma.f64 c (.f64 c c) (.f64 d (.f64 d d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d (-.f64 d c) (*.f64 c c)))))
(.f64 (neg.f64 (.f64 (+.f64 c d) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c d))))
(*.f64 #s(literal 1 binary64) (+.f64 c d))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (-.f64 d c)))

simplify1.4s (19.9%)

Memory

3.8MiB live, 593.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 758×	`accelerator-lowering-fma.f32`
10 758×	`accelerator-lowering-fma.f64`
4 330×	`-lowering-.f32`
4 330×	`-lowering-.f64`
2 040×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	1646
1	658	1646
2	1776	1604
3	5433	1556
0	8349	1517

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* 2 b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(+ a (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+ a (+ b c))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
c
(+ b c)
(+ b c)
(+ b c)
b
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
b
(+ b c)
(+ b c)
(+ b c)
c
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
d
(+ a d)
(+ a d)
(+ a d)
a
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
a
(+ a d)
(+ a d)
(+ a d)
d
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 d)
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(* 2 a)
(* a (+ 2 (* 2 (/ d a))))
(* a (+ 2 (* 2 (/ d a))))
(* a (+ 2 (* 2 (/ d a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* 2 a)
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(* 2 d)
(* d (+ 2 (* 2 (/ a d))))
(* d (+ 2 (* 2 (/ a d))))
(* d (+ 2 (* 2 (/ a d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ a d)) 2)))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(* 2 (+ c d))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* 2 (+ a d))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* 2 (+ a c))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(+ c d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+ a d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+ a c)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
d
(+ c d)
(+ c d)
(+ c d)
c
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
c
(+ c d)
(+ c d)
(+ c d)
d
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))

Outputs
(* 2 (+ a (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 (+ a (+ b d)))
(*.f64 #s(literal 2 binary64) (+.f64 b (+.f64 a d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 (+ b (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d b)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 (+ a (+ b c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c b)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(fma.f64 b (+.f64 (/.f64 a b) (/.f64 d b)) (+.f64 c b))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(fma.f64 b (+.f64 (/.f64 a b) (/.f64 d b)) (+.f64 c b))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(fma.f64 b (+.f64 (/.f64 a b) (/.f64 d b)) (+.f64 c b))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 c d)) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 c d)) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 c d)) b) b)
(+ a (+ b d))
(+.f64 b (+.f64 a d))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b)))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b)))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a d)) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a d)) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a d)) c) c)
(+ b (+ c d))
(+.f64 c (+.f64 d b))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(fma.f64 a (+.f64 (/.f64 b a) (/.f64 c a)) (+.f64 a d))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(fma.f64 a (+.f64 (/.f64 b a) (/.f64 c a)) (+.f64 a d))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(fma.f64 a (+.f64 (/.f64 b a) (/.f64 c a)) (+.f64 a d))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c (+.f64 d b)) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c (+.f64 d b)) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c (+.f64 d b)) a) a)
(+ a (+ b c))
(+.f64 a (+.f64 c b))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 a (+.f64 c (fma.f64 d (/.f64 b d) d)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 a (+.f64 c (fma.f64 d (/.f64 b d) d)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 a (+.f64 c (fma.f64 d (/.f64 b d) d)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c b)) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c b)) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c b)) d) d)
c
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
b
(* b (+ 1 (/ c b)))
(+.f64 c b)
(* b (+ 1 (/ c b)))
(+.f64 c b)
(* b (+ 1 (/ c b)))
(+.f64 c b)
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
b
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
c
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
d
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
a
(* a (+ 1 (/ d a)))
(+.f64 a d)
(* a (+ 1 (/ d a)))
(+.f64 a d)
(* a (+ 1 (/ d a)))
(+.f64 a d)
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)
a
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
d
(* d (+ 1 (/ a d)))
(+.f64 a d)
(* d (+ 1 (/ a d)))
(+.f64 a d)
(* d (+ 1 (/ a d)))
(+.f64 a d)
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 (+ c d))
(*.f64 #s(literal 2 binary64) (+.f64 c d))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 (+ a d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 (+ a c))
(*.f64 #s(literal 2 binary64) (+.f64 a c))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ c d)
(+.f64 c d)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 a (fma.f64 a (/.f64 c a) d))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 a (fma.f64 a (/.f64 c a) d))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 a (fma.f64 a (/.f64 c a) d))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c d) a) a)
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c d) a) a)
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c d) a) a)
(+ a d)
(+.f64 a d)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(fma.f64 c (/.f64 a c) (+.f64 c d))
(* c (+ 1 (+ (/ a c) (/ d c))))
(fma.f64 c (/.f64 a c) (+.f64 c d))
(* c (+ 1 (+ (/ a c) (/ d c))))
(fma.f64 c (/.f64 a c) (+.f64 c d))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a d) c) c)
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a d) c) c)
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a d) c) c)
(+ a c)
(+.f64 a c)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a c) d) d)
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a c) d) d)
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a c) d) d)
d
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
c
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
c
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
d
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)

eval270.0ms (3.8%)

Memory: 7.3MiB live, 200.3MiB allocated
Compiler: Compiled 18 484 to 2 013 computations (89.1% saved)

prune292.0ms (4.1%)

Memory

3.3MiB live, 199.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	871	2	873
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	872	7	879

Accuracy

100.0%

Counts

879 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	12.0%	(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
✓	100.0%	(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
▶	12.0%	(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
✓	12.0%	(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
✓	8.2%	(*.f64 (+.f64 a d) #s(literal 2 binary64))
✓	11.9%	(*.f64 c #s(literal 2 binary64))
✓	5.9%	(*.f64 b #s(literal 2 binary64))

Compiler

Compiled 69 to 52 computations (24.6% saved)

simplify6.0ms (0.1%)

Memory

-27.0MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 c a)
✓	cost-diff	(+.f64 (+.f64 c a) d)
✓	cost-diff	(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
✓	cost-diff	(+.f64 a d)
✓	cost-diff	(+.f64 (+.f64 a d) c)
✓	cost-diff	(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))

Rules

48×	`+-lowering-+.f64`
48×	`+-lowering-+.f32`
48×	`accelerator-lowering-fma.f32`
48×	`accelerator-lowering-fma.f64`
28×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	17	38
2	43	38
3	65	38
0	65	38

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ (+ a d) c) 2)
(+ (+ a d) c)
(+ a d)
a
d
c
2
(* (+ (+ c a) d) 2)
(+ (+ c a) d)
(+ c a)
c
a
d
2

Outputs
(* (+ (+ a d) c) 2)
(*.f64 (+.f64 a (+.f64 d c)) #s(literal 2 binary64))
(+ (+ a d) c)
(+.f64 a (+.f64 d c))
(+ a d)
(+.f64 a d)
a
d
c
2
#s(literal 2 binary64)
(* (+ (+ c a) d) 2)
(*.f64 (+.f64 a (+.f64 d c)) #s(literal 2 binary64))
(+ (+ c a) d)
(+.f64 a (+.f64 d c))
(+ c a)
(+.f64 a c)
c
a
d
2
#s(literal 2 binary64)

localize31.0ms (0.4%)

Memory

11.6MiB live, 65.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 c a)
✓	accuracy	100.0%	(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
✓	accuracy	98.6%	(+.f64 (+.f64 c a) d)
✓	accuracy	100.0%	(+.f64 (+.f64 a d) c)
✓	accuracy	100.0%	(+.f64 a d)
✓	accuracy	100.0%	(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))

Samples

17.0ms

256×

valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

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

ival-add: 4.0ms (53.8% of total)

ival-mult: 3.0ms (40.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

6 → 192

Calls

Call 1

Inputs
#<alt (* (+ (+ a d) c) 2)>
#<alt (+ (+ a d) c)>
#<alt (+ a d)>
#<alt (* (+ (+ c a) d) 2)>
#<alt (+ (+ c a) d)>
#<alt (+ c a)>

Outputs
#<alt (* 2 (+ c d))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* 2 (+ a c))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* 2 (+ a d))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (+ c d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt a>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (+ a c)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (+ a d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt d>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt a>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt a>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt d>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* 2 (+ a d))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* 2 (+ c d))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* 2 (+ a c))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (+ a d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (+ c d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt a>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (+ a c)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt a>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt c>
#<alt (* c (+ 1 (/ a c)))>
#<alt (* c (+ 1 (/ a c)))>
#<alt (* c (+ 1 (/ a c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ a c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ a c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ a c)) 1)))>
#<alt c>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt a>
#<alt (* a (+ 1 (/ c a)))>
#<alt (* a (+ 1 (/ c a)))>
#<alt (* a (+ 1 (/ c a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ c a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ c a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ c a)) 1)))>

Calls

48 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(+ c a)
0.0ms	a	@	-inf	(+ c a)
0.0ms	c	@	-inf	(+ c a)
0.0ms	c	@	inf	(+ c a)
0.0ms	a	@	inf	(+ c a)

rewrite357.0ms (5%)

Memory

12.1MiB live, 594.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 032×	`-lowering-.f32`
6 032×	`-lowering-.f64`
5 094×	`accelerator-lowering-fma.f32`
5 094×	`accelerator-lowering-fma.f64`
4 284×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	60	30
2	587	30
0	8294	30

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 492

Calls

Call 1

Inputs
(* (+ (+ a d) c) 2)
(+ (+ a d) c)
(+ a d)
(* (+ (+ c a) d) 2)
(+ (+ c a) d)
(+ c a)

Outputs
(+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) (+.f64 d c)))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 d c)) (.f64 #s(literal 2 binary64) a))
(+.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal 2 binary64) (+.f64 a c)))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 a c)) (.f64 #s(literal 2 binary64) d))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) (.f64 #s(literal 2 binary64) c))
(+.f64 (.f64 #s(literal 2 binary64) c) (.f64 #s(literal 2 binary64) (+.f64 a d)))
(+.f64 (.f64 a #s(literal 2 binary64)) (.f64 (+.f64 d c) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 d c) #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))
(+.f64 (.f64 d #s(literal 2 binary64)) (.f64 (+.f64 a c) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 a c) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64)))
(+.f64 (.f64 c #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)))
(fma.f64 a #s(literal 2 binary64) (*.f64 (+.f64 d c) #s(literal 2 binary64)))
(fma.f64 d #s(literal 2 binary64) (*.f64 (+.f64 a c) #s(literal 2 binary64)))
(fma.f64 (+.f64 a d) #s(literal 2 binary64) (*.f64 c #s(literal 2 binary64)))
(fma.f64 c #s(literal 2 binary64) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 2 binary64) (+.f64 d c)))
(fma.f64 #s(literal 2 binary64) d (*.f64 #s(literal 2 binary64) (+.f64 a c)))
(fma.f64 #s(literal 2 binary64) (+.f64 a d) (*.f64 #s(literal 2 binary64) c))
(fma.f64 #s(literal 2 binary64) c (*.f64 #s(literal 2 binary64) (+.f64 a d)))
(fma.f64 #s(literal 2 binary64) (+.f64 a c) (*.f64 #s(literal 2 binary64) d))
(fma.f64 #s(literal 2 binary64) (+.f64 d c) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (+.f64 a c) #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64)))
(fma.f64 (fma.f64 a (.f64 a a) (.f64 d (.f64 d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 d (-.f64 d a)))) #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64)))
(fma.f64 (fma.f64 a (.f64 a a) (.f64 c (.f64 c c))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a c) (.f64 c c))) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))
(fma.f64 (.f64 (+.f64 a d) (-.f64 a d)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a d)) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (.f64 (+.f64 a c) (-.f64 c a)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 c a)) #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))
(fma.f64 (+.f64 d c) #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a a) (.f64 c (.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a c) (.f64 c c))) (.f64 #s(literal 2 binary64) d))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 a c) (-.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 c a)) (*.f64 #s(literal 2 binary64) d))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a a) (.f64 d (.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 d (-.f64 d a)))) (.f64 #s(literal 2 binary64) c))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 a d) (-.f64 a d))) (/.f64 #s(literal 1 binary64) (-.f64 a d)) (*.f64 #s(literal 2 binary64) c))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a (+.f64 d c))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (-.f64 d (+.f64 a c)) (.f64 (+.f64 a c) (+.f64 a c))) (.f64 #s(literal 2 binary64) (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (*.f64 (+.f64 a c) (+.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a d) (+.f64 a d) (.f64 c (-.f64 c (+.f64 a d)))) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (*.f64 c c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 c (-.f64 a d)) (.f64 (.f64 (+.f64 a (+.f64 d c)) #s(literal 2 binary64)) (+.f64 c (-.f64 a d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 d (-.f64 a c)) (.f64 (.f64 (+.f64 a (+.f64 d c)) #s(literal 2 binary64)) (+.f64 d (-.f64 a c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (-.f64 d (+.f64 a c)) (.f64 (+.f64 a c) (+.f64 a c))) (.f64 (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (*.f64 (+.f64 a c) (+.f64 a c)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a d) (+.f64 a d) (.f64 c (-.f64 c (+.f64 a d)))) (.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (*.f64 c c))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 c (-.f64 a d)) (.f64 (+.f64 a (+.f64 d c)) (.f64 (+.f64 c (-.f64 a d)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 d (-.f64 a c)) (.f64 (+.f64 a (+.f64 d c)) (.f64 (+.f64 d (-.f64 a c)) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c))))) (fma.f64 d (-.f64 d (+.f64 a c)) (*.f64 (+.f64 a c) (+.f64 a c))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (.f64 c c)))) (fma.f64 (+.f64 a d) (+.f64 a d) (*.f64 c (-.f64 c (+.f64 a d)))))
(/.f64 (.f64 (.f64 (+.f64 a (+.f64 d c)) #s(literal 2 binary64)) (+.f64 c (-.f64 a d))) (+.f64 c (-.f64 a d)))
(/.f64 (.f64 (.f64 (+.f64 a (+.f64 d c)) #s(literal 2 binary64)) (+.f64 d (-.f64 a c))) (+.f64 d (-.f64 a c)))
(/.f64 (.f64 (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c)))) #s(literal 2 binary64)) (fma.f64 d (-.f64 d (+.f64 a c)) (*.f64 (+.f64 a c) (+.f64 a c))))
(/.f64 (.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (.f64 c c))) #s(literal 2 binary64)) (fma.f64 (+.f64 a d) (+.f64 a d) (*.f64 c (-.f64 c (+.f64 a d)))))
(/.f64 (.f64 (+.f64 a (+.f64 d c)) (.f64 (+.f64 c (-.f64 a d)) #s(literal 2 binary64))) (+.f64 c (-.f64 a d)))
(/.f64 (.f64 (+.f64 a (+.f64 d c)) (.f64 (+.f64 d (-.f64 a c)) #s(literal 2 binary64))) (+.f64 d (-.f64 a c)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c)))))) (neg.f64 (fma.f64 d (-.f64 d (+.f64 a c)) (*.f64 (+.f64 a c) (+.f64 a c)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (.f64 c c))))) (neg.f64 (fma.f64 (+.f64 a d) (+.f64 a d) (*.f64 c (-.f64 c (+.f64 a d))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 a (+.f64 d c)) #s(literal 2 binary64)) (+.f64 c (-.f64 a d)))) (neg.f64 (+.f64 c (-.f64 a d))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 a (+.f64 d c)) #s(literal 2 binary64)) (+.f64 d (-.f64 a c)))) (neg.f64 (+.f64 d (-.f64 a c))))
(/.f64 (neg.f64 (.f64 (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c)))) #s(literal 2 binary64))) (neg.f64 (fma.f64 d (-.f64 d (+.f64 a c)) (*.f64 (+.f64 a c) (+.f64 a c)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (.f64 c c))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 a d) (+.f64 a d) (*.f64 c (-.f64 c (+.f64 a d))))))
(/.f64 (neg.f64 (.f64 (+.f64 a (+.f64 d c)) (.f64 (+.f64 c (-.f64 a d)) #s(literal 2 binary64)))) (neg.f64 (+.f64 c (-.f64 a d))))
(/.f64 (neg.f64 (.f64 (+.f64 a (+.f64 d c)) (.f64 (+.f64 d (-.f64 a c)) #s(literal 2 binary64)))) (neg.f64 (+.f64 d (-.f64 a c))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 d c)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 d c)) (.f64 #s(literal 2 binary64) (+.f64 d c))) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) (+.f64 d c))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) d) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 a c)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal 2 binary64) d) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 a c)) (.f64 #s(literal 2 binary64) (+.f64 a c))) (.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal 2 binary64) (+.f64 a c))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 a c)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) d) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 a c)) (.f64 #s(literal 2 binary64) (+.f64 a c)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a c)) (.f64 #s(literal 2 binary64) d)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) c) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) (.f64 #s(literal 2 binary64) (+.f64 a d)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) c) (.f64 #s(literal 2 binary64) c)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) (.f64 #s(literal 2 binary64) c)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) c) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) c) (.f64 #s(literal 2 binary64) c) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) (.f64 #s(literal 2 binary64) (+.f64 a d))) (.f64 (.f64 #s(literal 2 binary64) c) (.f64 #s(literal 2 binary64) (+.f64 a d))))))
(/.f64 (+.f64 (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 d c) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 d c) #s(literal 2 binary64)) (.f64 (+.f64 d c) #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 (+.f64 d c) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 d #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 a c) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 d #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 a c) #s(literal 2 binary64)) (.f64 (+.f64 a c) #s(literal 2 binary64))) (.f64 (.f64 d #s(literal 2 binary64)) (.f64 (+.f64 a c) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 a c) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 d #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 a c) #s(literal 2 binary64)) (.f64 (+.f64 a c) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 d #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a c) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 c #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 c #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 c #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 c #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64))) (.f64 (.f64 c #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 d c)) (.f64 #s(literal 2 binary64) (+.f64 d c)))) (-.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) (+.f64 d c))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a c)) (.f64 #s(literal 2 binary64) (+.f64 a c)))) (-.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal 2 binary64) (+.f64 a c))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 a c)) (.f64 #s(literal 2 binary64) (+.f64 a c))) (.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal 2 binary64) d))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 a c)) (.f64 #s(literal 2 binary64) d)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) (.f64 #s(literal 2 binary64) (+.f64 a d))) (.f64 (.f64 #s(literal 2 binary64) c) (.f64 #s(literal 2 binary64) c))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) (.f64 #s(literal 2 binary64) c)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) c) (.f64 #s(literal 2 binary64) c)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) (.f64 #s(literal 2 binary64) (+.f64 a d)))) (-.f64 (.f64 #s(literal 2 binary64) c) (.f64 #s(literal 2 binary64) (+.f64 a d))))
(/.f64 (-.f64 (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 (+.f64 d c) #s(literal 2 binary64)) (.f64 (+.f64 d c) #s(literal 2 binary64)))) (-.f64 (.f64 a #s(literal 2 binary64)) (.f64 (+.f64 d c) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 d #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a c) #s(literal 2 binary64)) (.f64 (+.f64 a c) #s(literal 2 binary64)))) (-.f64 (.f64 d #s(literal 2 binary64)) (.f64 (+.f64 a c) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 a c) #s(literal 2 binary64)) (.f64 (+.f64 a c) #s(literal 2 binary64))) (.f64 (.f64 d #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) (-.f64 (.f64 (+.f64 a c) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64))) (.f64 (.f64 c #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64)))) (-.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 c #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)))) (-.f64 (.f64 c #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (.f64 (+.f64 d c) (-.f64 (+.f64 d c) a))) (fma.f64 a (.f64 a a) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (+.f64 d c))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (+.f64 d c)) (*.f64 (+.f64 a (+.f64 d c)) (-.f64 a (+.f64 d c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 d (+.f64 a c)) (*.f64 (+.f64 a (+.f64 d c)) (-.f64 d (+.f64 a c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 c (+.f64 a d)) (*.f64 (+.f64 a (+.f64 d c)) (-.f64 c (+.f64 a d)))))
(/.f64 (*.f64 (+.f64 a (+.f64 d c)) (-.f64 a (+.f64 d c))) (-.f64 a (+.f64 d c)))
(/.f64 (*.f64 (+.f64 a (+.f64 d c)) (-.f64 d (+.f64 a c))) (-.f64 d (+.f64 a c)))
(/.f64 (*.f64 (+.f64 a (+.f64 d c)) (-.f64 c (+.f64 a d))) (-.f64 c (+.f64 a d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (+.f64 d c)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 a c) (+.f64 a c)) (+.f64 c (-.f64 a d))) (.f64 (+.f64 c (-.f64 a d)) (.f64 d d))) (*.f64 (+.f64 c (-.f64 a d)) (+.f64 c (-.f64 a d))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 a d) (+.f64 a d)) (+.f64 d (-.f64 a c))) (.f64 (+.f64 d (-.f64 a c)) (.f64 c c))) (*.f64 (+.f64 d (-.f64 a c)) (+.f64 d (-.f64 a c))))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c))) (.f64 (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c))) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c)))) (.f64 (.f64 d (.f64 d d)) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d))))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 a c) (.f64 (.f64 (+.f64 a c) (+.f64 a c)) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c)))) (.f64 (.f64 d (.f64 d d)) (-.f64 (.f64 d (.f64 d d)) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c)))))) (fma.f64 d (-.f64 d (+.f64 a c)) (*.f64 (+.f64 a c) (+.f64 a c)))))
(/.f64 (.f64 (.f64 (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c)))) (-.f64 (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c))) (.f64 d (.f64 d d)))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c))) (.f64 d (.f64 d d))) (fma.f64 d (-.f64 d (+.f64 a c)) (*.f64 (+.f64 a c) (+.f64 a c)))))
(/.f64 (.f64 (.f64 (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c)))) (-.f64 (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c))) (.f64 d (.f64 d d)))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 a c) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c))) (.f64 (.f64 d d) (fma.f64 d d (*.f64 (+.f64 a c) (+.f64 a c))))) (+.f64 c (-.f64 a d))))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d))) (.f64 (.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d))) (.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c))))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 a d) (.f64 (.f64 (+.f64 a d) (+.f64 a d)) (.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)))) (.f64 (.f64 c (.f64 c c)) (-.f64 (.f64 c (.f64 c c)) (.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)))))) (fma.f64 (+.f64 a d) (+.f64 a d) (*.f64 c (-.f64 c (+.f64 a d))))))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (.f64 c c))) (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 (.f64 c (neg.f64 c)) c))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 (.f64 c (neg.f64 c)) c)) (fma.f64 (+.f64 a d) (+.f64 a d) (*.f64 c (-.f64 c (+.f64 a d))))))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (.f64 c c))) (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 (.f64 c (neg.f64 c)) c))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d))) (.f64 (.f64 c c) (fma.f64 c c (.f64 (+.f64 a d) (+.f64 a d))))) (+.f64 d (-.f64 a c))))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 a c) (+.f64 a c) (.f64 d d)) (.f64 (+.f64 a (+.f64 d c)) (+.f64 c (-.f64 a d)))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 a c) (+.f64 a c) (.f64 d d)) (+.f64 c (-.f64 a d))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c)))))) (neg.f64 (neg.f64 (fma.f64 d (-.f64 d (+.f64 a c)) (.f64 (+.f64 a c) (+.f64 a c))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (.f64 c c))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a d) (+.f64 a d) (.f64 c (-.f64 c (+.f64 a d)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 a (+.f64 d c)) (neg.f64 (+.f64 c (-.f64 a d))))) (neg.f64 (neg.f64 (+.f64 c (-.f64 a d)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 a (+.f64 d c)) (+.f64 d (-.f64 a c))))) (neg.f64 (neg.f64 (+.f64 d (-.f64 a c)))))
(/.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (neg.f64 (fma.f64 a a (.f64 (+.f64 d c) (-.f64 (+.f64 d c) a)))))
(/.f64 (neg.f64 (*.f64 (+.f64 a (+.f64 d c)) (-.f64 a (+.f64 d c)))) (neg.f64 (-.f64 a (+.f64 d c))))
(/.f64 (neg.f64 (*.f64 (+.f64 a (+.f64 d c)) (-.f64 d (+.f64 a c)))) (neg.f64 (-.f64 d (+.f64 a c))))
(/.f64 (neg.f64 (*.f64 (+.f64 a (+.f64 d c)) (-.f64 c (+.f64 a d)))) (neg.f64 (-.f64 c (+.f64 a d))))
(/.f64 (fma.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)) (.f64 a (.f64 a a))) (fma.f64 (+.f64 d c) (+.f64 d c) (-.f64 (.f64 a a) (*.f64 (+.f64 d c) a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (+.f64 a c) (+.f64 a c)) (+.f64 c (-.f64 a d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 d d) (+.f64 c (-.f64 a d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (+.f64 a c) (+.f64 a c)) (+.f64 c (-.f64 a d))) (/.f64 (.f64 (+.f64 a c) (+.f64 a c)) (+.f64 c (-.f64 a d))) (fma.f64 (/.f64 (.f64 d d) (+.f64 c (-.f64 a d))) (/.f64 (.f64 d d) (+.f64 c (-.f64 a d))) (.f64 (/.f64 (.f64 (+.f64 a c) (+.f64 a c)) (+.f64 c (-.f64 a d))) (/.f64 (*.f64 d d) (+.f64 c (-.f64 a d)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (+.f64 a d) (+.f64 a d)) (+.f64 d (-.f64 a c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 c c) (+.f64 d (-.f64 a c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (+.f64 a d) (+.f64 a d)) (+.f64 d (-.f64 a c))) (/.f64 (.f64 (+.f64 a d) (+.f64 a d)) (+.f64 d (-.f64 a c))) (fma.f64 (/.f64 (.f64 c c) (+.f64 d (-.f64 a c))) (/.f64 (.f64 c c) (+.f64 d (-.f64 a c))) (.f64 (/.f64 (.f64 (+.f64 a d) (+.f64 a d)) (+.f64 d (-.f64 a c))) (/.f64 (*.f64 c c) (+.f64 d (-.f64 a c)))))))
(/.f64 (-.f64 (.f64 (+.f64 d c) (+.f64 d c)) (.f64 a a)) (-.f64 (+.f64 d c) a))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 a c) (+.f64 a c)) (+.f64 c (-.f64 a d))) (/.f64 (.f64 (+.f64 a c) (+.f64 a c)) (+.f64 c (-.f64 a d)))) (.f64 (/.f64 (.f64 d d) (+.f64 c (-.f64 a d))) (/.f64 (.f64 d d) (+.f64 c (-.f64 a d))))) (+.f64 (/.f64 (.f64 (+.f64 a c) (+.f64 a c)) (+.f64 c (-.f64 a d))) (/.f64 (.f64 d d) (+.f64 c (-.f64 a d)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 a d) (+.f64 a d)) (+.f64 d (-.f64 a c))) (/.f64 (.f64 (+.f64 a d) (+.f64 a d)) (+.f64 d (-.f64 a c)))) (.f64 (/.f64 (.f64 c c) (+.f64 d (-.f64 a c))) (/.f64 (.f64 c c) (+.f64 d (-.f64 a c))))) (+.f64 (/.f64 (.f64 (+.f64 a d) (+.f64 a d)) (+.f64 d (-.f64 a c))) (/.f64 (.f64 c c) (+.f64 d (-.f64 a c)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a (+.f64 d c))) #s(literal -1 binary64))
(.f64 (+.f64 a (+.f64 d c)) (.f64 (+.f64 c (-.f64 a d)) (/.f64 #s(literal 1 binary64) (+.f64 c (-.f64 a d)))))
(.f64 (+.f64 a (+.f64 d c)) (.f64 (+.f64 d (-.f64 a c)) (/.f64 #s(literal 1 binary64) (+.f64 d (-.f64 a c)))))
(.f64 (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 d (-.f64 d (+.f64 a c)) (*.f64 (+.f64 a c) (+.f64 a c)))))
(.f64 (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 (+.f64 a c) (+.f64 c (-.f64 a d))))))
(.f64 (fma.f64 d (-.f64 d (+.f64 a c)) (.f64 (+.f64 a c) (+.f64 a c))) (.f64 (+.f64 a (+.f64 d c)) (/.f64 #s(literal 1 binary64) (fma.f64 d (-.f64 d (+.f64 a c)) (.f64 (+.f64 a c) (+.f64 a c))))))
(.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a d) (+.f64 a d) (*.f64 c (-.f64 c (+.f64 a d))))))
(.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 (+.f64 a d) (+.f64 d (-.f64 a c))))))
(.f64 (fma.f64 (+.f64 a d) (+.f64 a d) (.f64 c (-.f64 c (+.f64 a d)))) (.f64 (+.f64 a (+.f64 d c)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a d) (+.f64 a d) (.f64 c (-.f64 c (+.f64 a d)))))))
(.f64 (.f64 (+.f64 a (+.f64 d c)) (+.f64 c (-.f64 a d))) (/.f64 #s(literal 1 binary64) (+.f64 c (-.f64 a d))))
(.f64 (.f64 (+.f64 a (+.f64 d c)) (+.f64 d (-.f64 a c))) (/.f64 #s(literal 1 binary64) (+.f64 d (-.f64 a c))))
(.f64 (neg.f64 (fma.f64 d (.f64 d d) (.f64 (+.f64 a c) (.f64 (+.f64 a c) (+.f64 a c))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d (-.f64 d (+.f64 a c)) (*.f64 (+.f64 a c) (+.f64 a c))))))
(.f64 (neg.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 c (.f64 c c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 a d) (+.f64 a d) (*.f64 c (-.f64 c (+.f64 a d)))))))
(.f64 (.f64 (+.f64 a (+.f64 d c)) (neg.f64 (+.f64 c (-.f64 a d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 c (-.f64 a d)))))
(.f64 (neg.f64 (.f64 (+.f64 a (+.f64 d c)) (+.f64 d (-.f64 a c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 d (-.f64 a c)))))
(.f64 (fma.f64 a (.f64 a a) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 (+.f64 d c) (-.f64 (+.f64 d c) a)))))
(*.f64 #s(literal 1 binary64) (+.f64 a (+.f64 d c)))
(.f64 (.f64 (+.f64 a (+.f64 d c)) (-.f64 a (+.f64 d c))) (/.f64 #s(literal 1 binary64) (-.f64 a (+.f64 d c))))
(.f64 (.f64 (+.f64 a (+.f64 d c)) (-.f64 d (+.f64 a c))) (/.f64 #s(literal 1 binary64) (-.f64 d (+.f64 a c))))
(.f64 (.f64 (+.f64 a (+.f64 d c)) (-.f64 c (+.f64 a d))) (/.f64 #s(literal 1 binary64) (-.f64 c (+.f64 a d))))
(+.f64 a c)
(+.f64 c a)
(+.f64 (/.f64 (.f64 c c) (-.f64 c a)) (neg.f64 (/.f64 (.f64 a a) (-.f64 c a))))
(-.f64 (/.f64 (.f64 c c) (-.f64 c a)) (/.f64 (.f64 a a) (-.f64 c a)))
(-.f64 (/.f64 (.f64 a a) (-.f64 a c)) (/.f64 (.f64 c c) (-.f64 a c)))
(fma.f64 (.f64 c c) (/.f64 #s(literal 1 binary64) (-.f64 c a)) (neg.f64 (/.f64 (.f64 a a) (-.f64 c a))))
(neg.f64 (neg.f64 (+.f64 a c)))
(/.f64 (fma.f64 a (.f64 a a) (.f64 c (.f64 c c))) (fma.f64 a (-.f64 a c) (.f64 c c)))
(/.f64 (fma.f64 a (.f64 a a) (.f64 c (.f64 c c))) (fma.f64 a a (.f64 c (-.f64 c a))))
(/.f64 (*.f64 (+.f64 a c) (-.f64 c a)) (-.f64 c a))
(/.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 c (.f64 c c)))) (neg.f64 (fma.f64 a (-.f64 a c) (.f64 c c))))
(/.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 c (.f64 c c)))) (neg.f64 (fma.f64 a a (.f64 c (-.f64 c a)))))
(/.f64 (*.f64 (+.f64 a c) (neg.f64 (-.f64 c a))) (neg.f64 (-.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (.f64 c (-.f64 c a))) (fma.f64 a (.f64 a a) (.f64 c (.f64 c c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a c) (*.f64 (+.f64 a c) (-.f64 a c))))
(/.f64 (*.f64 (+.f64 a c) (-.f64 a c)) (-.f64 a c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a c))))
(/.f64 (-.f64 (.f64 (.f64 c c) (-.f64 c a)) (.f64 (-.f64 c a) (.f64 a a))) (*.f64 (-.f64 c a) (-.f64 c a)))
(/.f64 (.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a)))))) #s(literal 1 binary64)) (.f64 (fma.f64 c (.f64 (.f64 c c) (.f64 c (.f64 c c))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (fma.f64 a (-.f64 a c) (*.f64 c c))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 c (.f64 c c))) (.f64 (fma.f64 c c (.f64 a (+.f64 a c))) (-.f64 c a))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 c c (.f64 a (+.f64 a c))) (-.f64 c a)) (fma.f64 a (-.f64 a c) (*.f64 c c))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 c (.f64 c c))) (.f64 (fma.f64 c c (.f64 a (+.f64 a c))) (-.f64 c a))) #s(literal 1 binary64)) (.f64 (fma.f64 c (.f64 c (.f64 c c)) (.f64 (.f64 a a) (fma.f64 a a (*.f64 c c)))) (-.f64 c a)))
(/.f64 (.f64 (.f64 (fma.f64 c c (.f64 a a)) (.f64 (+.f64 a c) (-.f64 c a))) #s(literal 1 binary64)) (.f64 (fma.f64 c c (.f64 a a)) (-.f64 c a)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 c (.f64 c c))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a c) (.f64 c c)))))
(/.f64 (neg.f64 (*.f64 (+.f64 a c) (neg.f64 (-.f64 c a)))) (neg.f64 (neg.f64 (-.f64 c a))))
(/.f64 (neg.f64 (*.f64 (+.f64 a c) (-.f64 a c))) (neg.f64 (-.f64 a c)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 c c) (-.f64 c a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a a) (-.f64 c a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 c c) (-.f64 c a)) (/.f64 (.f64 c c) (-.f64 c a)) (fma.f64 (/.f64 (.f64 a a) (-.f64 c a)) (/.f64 (.f64 a a) (-.f64 c a)) (.f64 (/.f64 (.f64 c c) (-.f64 c a)) (/.f64 (*.f64 a a) (-.f64 c a))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 c c) (-.f64 c a)) (/.f64 (.f64 c c) (-.f64 c a))) (.f64 (/.f64 (.f64 a a) (-.f64 c a)) (/.f64 (.f64 a a) (-.f64 c a)))) (+.f64 (/.f64 (.f64 c c) (-.f64 c a)) (/.f64 (.f64 a a) (-.f64 c a))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a c)) #s(literal -1 binary64))
(.f64 (+.f64 a c) (.f64 (-.f64 c a) (/.f64 #s(literal 1 binary64) (-.f64 c a))))
(.f64 (fma.f64 a (.f64 a a) (.f64 c (.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a c) (*.f64 c c))))
(.f64 (fma.f64 a (.f64 a a) (.f64 c (.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 c (-.f64 c a)))))
(.f64 (fma.f64 a (-.f64 a c) (.f64 c c)) (.f64 (+.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a c) (.f64 c c)))))
(.f64 (.f64 (+.f64 a c) (-.f64 c a)) (/.f64 #s(literal 1 binary64) (-.f64 c a)))
(.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 c (.f64 c c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a c) (*.f64 c c)))))
(.f64 (.f64 (+.f64 a c) (neg.f64 (-.f64 c a))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c a))))
(*.f64 #s(literal 1 binary64) (+.f64 a c))
(.f64 (.f64 (+.f64 a c) (-.f64 a c)) (/.f64 #s(literal 1 binary64) (-.f64 a c)))

simplify442.0ms (6.2%)

Memory

-10.3MiB live, 388.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 678×	`accelerator-lowering-fma.f32`
5 678×	`accelerator-lowering-fma.f64`
3 082×	`-lowering-.f32`
3 082×	`-lowering-.f64`
1 722×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	864
1	291	864
2	714	864
3	2180	864
4	5372	864
5	7461	864
0	8269	864

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* 2 (+ c d))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* 2 (+ a c))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* 2 (+ a d))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(+ c d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+ a c)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+ a d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
d
(+ a d)
(+ a d)
(+ a d)
a
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
a
(+ a d)
(+ a d)
(+ a d)
d
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* 2 (+ a d))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* 2 (+ c d))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* 2 (+ a c))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(+ a d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+ c d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+ a c)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
a
(+ a c)
(+ a c)
(+ a c)
c
(* c (+ 1 (/ a c)))
(* c (+ 1 (/ a c)))
(* c (+ 1 (/ a c)))
c
(* -1 (* c (- (* -1 (/ a c)) 1)))
(* -1 (* c (- (* -1 (/ a c)) 1)))
(* -1 (* c (- (* -1 (/ a c)) 1)))
c
(+ a c)
(+ a c)
(+ a c)
a
(* a (+ 1 (/ c a)))
(* a (+ 1 (/ c a)))
(* a (+ 1 (/ c a)))
a
(* -1 (* a (- (* -1 (/ c a)) 1)))
(* -1 (* a (- (* -1 (/ c a)) 1)))
(* -1 (* a (- (* -1 (/ c a)) 1)))

Outputs
(* 2 (+ c d))
(*.f64 #s(literal 2 binary64) (+.f64 c d))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 (+ a c))
(*.f64 #s(literal 2 binary64) (+.f64 c a))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 (+ a d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ c d)
(+.f64 c d)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+.f64 c (+.f64 d a))
(+ a c)
(+.f64 c a)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 c (+.f64 d a))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 c (+.f64 d a))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 c (+.f64 d a))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+.f64 c (+.f64 d a))
(+ a d)
(+.f64 d a)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 c (+.f64 d a))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 c (+.f64 d a))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 c (+.f64 d a))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+.f64 c (+.f64 d a))
d
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
a
(* a (+ 1 (/ d a)))
(+.f64 d a)
(* a (+ 1 (/ d a)))
(+.f64 d a)
(* a (+ 1 (/ d a)))
(+.f64 d a)
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 d a)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 d a)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 d a)
a
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
d
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* d (+ 1 (/ a d)))
(+.f64 d a)
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)
(* 2 (+ a d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 (+ c d))
(*.f64 #s(literal 2 binary64) (+.f64 c d))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 (+ a c))
(*.f64 #s(literal 2 binary64) (+.f64 c a))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ a d)
(+.f64 d a)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 c (+.f64 d a))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 c (+.f64 d a))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 c (+.f64 d a))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+.f64 c (+.f64 d a))
(+ c d)
(+.f64 c d)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+.f64 c (+.f64 d a))
(+ a c)
(+.f64 c a)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 c (+.f64 d a))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 c (+.f64 d a))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 c (+.f64 d a))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+.f64 c (+.f64 d a))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+.f64 c (+.f64 d a))
a
(+ a c)
(+.f64 c a)
(+ a c)
(+.f64 c a)
(+ a c)
(+.f64 c a)
c
(* c (+ 1 (/ a c)))
(+.f64 c a)
(* c (+ 1 (/ a c)))
(+.f64 c a)
(* c (+ 1 (/ a c)))
(+.f64 c a)
c
(* -1 (* c (- (* -1 (/ a c)) 1)))
(+.f64 c a)
(* -1 (* c (- (* -1 (/ a c)) 1)))
(+.f64 c a)
(* -1 (* c (- (* -1 (/ a c)) 1)))
(+.f64 c a)
c
(+ a c)
(+.f64 c a)
(+ a c)
(+.f64 c a)
(+ a c)
(+.f64 c a)
a
(* a (+ 1 (/ c a)))
(+.f64 c a)
(* a (+ 1 (/ c a)))
(+.f64 c a)
(* a (+ 1 (/ c a)))
(+.f64 c a)
a
(* -1 (* a (- (* -1 (/ c a)) 1)))
(+.f64 c a)
(* -1 (* a (- (* -1 (/ c a)) 1)))
(+.f64 c a)
(* -1 (* a (- (* -1 (/ c a)) 1)))
(+.f64 c a)

eval81.0ms (1.1%)

Memory: 11.3MiB live, 206.2MiB allocated
Compiler: Compiled 14 140 to 1 054 computations (92.5% saved)

prune86.0ms (1.2%)

Memory

-17.2MiB live, 113.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	684	0	684
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	684	7	691

Accuracy

100.0%

Counts

691 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	12.0%	(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
✓	100.0%	(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
✓	12.0%	(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
✓	12.0%	(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
✓	8.2%	(*.f64 (+.f64 a d) #s(literal 2 binary64))
✓	11.9%	(*.f64 c #s(literal 2 binary64))
✓	5.9%	(*.f64 b #s(literal 2 binary64))

Compiler

Compiled 130 to 78 computations (40% saved)

regimes33.0ms (0.5%)

Memory

18.8MiB live, 57.9MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 b #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))

Calls

8 calls:

8.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
4.0ms	b
4.0ms	(+.f64 c d)
4.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
4.0ms	c

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`c`
100.0%	1	`d`
100.0%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
100.0%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`
100.0%	1	`(+.f64 b (+.f64 c d))`
100.0%	1	`(+.f64 c d)`

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes163.0ms (2.3%)

Memory

-25.8MiB live, 54.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 b #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Calls

8 calls:

72.0ms	(+.f64 c d)
71.0ms	b
3.0ms	(+.f64 b (+.f64 c d))
3.0ms	c
3.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.3%	1	`a`
94.3%	1	`b`
94.3%	1	`c`
94.3%	1	`d`
94.3%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
94.3%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`
94.3%	1	`(+.f64 b (+.f64 c d))`
94.3%	1	`(+.f64 c d)`

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes129.0ms (1.8%)

Memory

5.6MiB live, 43.9MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 b #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))

Calls

8 calls:

108.0ms	c
3.0ms	(+.f64 c d)
3.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms	b
3.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

Results

Accuracy	Segments	Branch
13.7%	2	`a`
13.9%	2	`b`
12.0%	1	`c`
13.7%	2	`(+.f64 c d)`
12.0%	1	`d`
14.8%	2	`(+.f64 b (+.f64 c d))`
17.0%	2	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
17.0%	2	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes4.0ms (0.1%)

Memory

8.1MiB live, 8.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 b #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 a d) #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))

Calls

2 calls:

2.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
2.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

Results

Accuracy	Segments	Branch
16.9%	2	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
16.9%	2	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 b #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))

Outputs
(*.f64 b #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))

Calls

2 calls:

2.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
2.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

Results

Accuracy	Segments	Branch
16.3%	2	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
16.3%	2	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes255.0ms (3.6%)

Memory

-8.6MiB live, 30.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b #s(literal 2 binary64))

Outputs
(*.f64 b #s(literal 2 binary64))

Calls

8 calls:

1.0ms	b
1.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
1.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
1.0ms	(+.f64 c d)
1.0ms	(+.f64 b (+.f64 c d))

Results

Accuracy	Segments	Branch
5.9%	1	`c`
5.9%	1	`d`
5.9%	1	`a`
5.9%	1	`(+.f64 c d)`
5.9%	1	`b`
5.9%	1	`(+.f64 b (+.f64 c d))`
5.9%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
5.9%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 60 to 43 computations (28.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.003782536145090276	0.0043167916789457195

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.003782536145090276	0.0043167916789457195

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.003782536145090276	0.0043167916789457195

Compiler

Compiled 16 to 16 computations (0% saved)

simplify8.0ms (0.1%)

Memory

-19.9MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	77
1	36	77

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 b #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64)))
(*.f64 b #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b (+.f64 c d))))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 b #s(literal 2 binary64)) (.f64 c #s(literal 2 binary64)))
(*.f64 b #s(literal 2 binary64))

soundness432.0ms (6.1%)

Memory

10.7MiB live, 391.3MiB allocated

Rules

6 904×	`accelerator-lowering-fma.f32`
6 904×	`accelerator-lowering-fma.f64`
6 242×	`accelerator-lowering-fma.f32`
6 242×	`accelerator-lowering-fma.f64`
4 710×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	890
1	436	890
2	1261	890
3	4083	878
0	8128	875
0	9	24
1	54	24
2	565	24
0	8256	24

Stop Event

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

Compiler

Compiled 151 to 78 computations (48.3% saved)

preprocess78.0ms (1.1%)

Memory: -15.5MiB live, 143.2MiB allocated
Remove: (sort a b c d)
Compiler: Compiled 270 to 120 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.2s (17%)

preprocess242.0ms (3.4%)

explain113.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize31.0ms (0.4%)

series7.0ms (0.1%)

rewrite408.0ms (5.8%)

simplify338.0ms (4.8%)

eval81.0ms (1.1%)

prune69.0ms (1%)

simplify52.0ms (0.7%)

localize50.0ms (0.7%)

series11.0ms (0.2%)

rewrite388.0ms (5.5%)

simplify1.4s (19.9%)

eval270.0ms (3.8%)

prune292.0ms (4.1%)

simplify6.0ms (0.1%)

localize31.0ms (0.4%)

series3.0ms (0%)

rewrite357.0ms (5%)

simplify442.0ms (6.2%)

eval81.0ms (1.1%)

prune86.0ms (1.2%)

regimes33.0ms (0.5%)

regimes163.0ms (2.3%)

regimes129.0ms (1.8%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes255.0ms (3.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness432.0ms (6.1%)

preprocess78.0ms (1.1%)

end0.0ms (0%)

Profiling