Metrics for Expression 1, p15

analyze0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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 49 to 35 computations (28.6% saved)

sample1.6s (14.1%)

Memory

34.4MiB live, 1 822.3MiB allocated

Samples

725.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 446.0ms

ival-<=: 225.0ms (50.5% of total)

ival-add: 145.0ms (32.5% of total)

ival-and: 49.0ms (11% of total)

exact: 24.0ms (5.4% of total)

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

Bogosity

preprocess80.0ms (0.7%)

Memory

8.4MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 996×	`unsub-neg`
1 442×	`sub-neg`
1 360×	`distribute-neg-in`
1 220×	`distribute-rgt-in`
1 150×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	187
1	219	184
2	777	180
3	3000	180
4	5879	180
5	6826	180
6	7181	180
7	7304	180
8	7348	180
9	7732	180
0	9	9
0	13	9
1	23	9
2	62	9
3	183	9
4	339	9
5	339	9
0	339	9

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
(+.f64 e (+.f64 c (+.f64 d (+.f64 b a))))

Symmetry

(sort a b c d e)

explain120.0ms (1.1%)

Memory

14.6MiB live, 133.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`a`
-	-	`(+.f64 (+.f64 e d) c)`
-	-	`(+.f64 (+.f64 (+.f64 e d) c) b)`
-	-	`d`
-	-	`(+.f64 e d)`
-	-	`e`
-	-	`c`
-	-	`b`
-	-	`(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

32.0ms

512×

valid

Compiler

Compiled 90 to 40 computations (55.6% saved)

Precisions

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

ival-add: 10.0ms (95.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune2.0ms (0%)

Memory

-37.1MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify9.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 e d)
✓	cost-diff	(+.f64 (+.f64 e d) c)
✓	cost-diff	(+.f64 (+.f64 (+.f64 e d) c) b)
✓	cost-diff	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

Rules

360×	`lower-+.f32`
352×	`lower-+.f64`
270×	`associate-+r+`
166×	`associate-+l+`
106×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	13	29
1	23	29
2	62	29
3	183	29
4	339	29
5	339	29
0	339	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
(+.f64 (+.f64 (+.f64 e d) c) b)
(+.f64 (+.f64 e d) c)
(+.f64 e d)
e
d
c
b
a

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
(+.f64 e (+.f64 c (+.f64 d (+.f64 b a))))
(+.f64 (+.f64 (+.f64 e d) c) b)
(+.f64 (+.f64 e d) (+.f64 c b))
(+.f64 (+.f64 e d) c)
(+.f64 e d)
e
d
c
b
a

localize26.0ms (0.2%)

Memory

-24.8MiB live, 34.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 e d)
✓	accuracy	99.7%	(+.f64 (+.f64 (+.f64 e d) c) b)
✓	accuracy	99.6%	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
✓	accuracy	99.6%	(+.f64 (+.f64 e d) c)

Samples

19.0ms

256×

valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 9.0ms (94.4% of total)

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

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

series6.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

4 → 168

Calls

Call 1

Inputs
#<alt (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)>
#<alt (+.f64 (+.f64 (+.f64 e d) c) b)>
#<alt (+.f64 (+.f64 e d) c)>
#<alt (+.f64 e d)>

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

Calls

42 calls:

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

simplify259.0ms (2.3%)

Memory

22.6MiB live, 449.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 934×	`lower-fma.f64`
9 934×	`lower-fma.f32`
3 604×	`lower-*.f64`
3 604×	`lower-*.f32`
3 532×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	1456
1	463	1456
2	1533	1384
3	5999	1348
0	8243	1276

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 138

Calls

Call 1

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

Outputs
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (/.f64 a e) (+.f64 (/.f64 b e) (/.f64 c e))) d))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (/.f64 a e) (+.f64 (/.f64 b e) (/.f64 c e))) d))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (/.f64 a e) (+.f64 (/.f64 b e) (/.f64 c e))) d))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(+ a (+ b (+ c e)))
(+.f64 a (+.f64 c (+.f64 b e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (fma.f64 d (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d))) e))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (fma.f64 d (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d))) e))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (fma.f64 d (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d))) e))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c (+.f64 b e))) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c (+.f64 b e))) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c (+.f64 b e))) d) d)
(+ a (+ b (+ d e)))
(+.f64 a (+.f64 b (+.f64 d e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 a c) (+.f64 (/.f64 d c) (+.f64 (/.f64 b c) (/.f64 e c)))) c)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 a c) (+.f64 (/.f64 d c) (+.f64 (/.f64 b c) (/.f64 e c)))) c)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 a c) (+.f64 (/.f64 d c) (+.f64 (/.f64 b c) (/.f64 e c)))) c)
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a (+.f64 b (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a (+.f64 b (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a (+.f64 b (+.f64 d e))) c) c)
(+ a (+ c (+ d e)))
(+.f64 a (+.f64 (+.f64 c d) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 a b) (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (/.f64 e b)))) b)
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 a b) (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (/.f64 e b)))) b)
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 a b) (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (/.f64 e b)))) b)
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 (+.f64 c d) e)) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 (+.f64 c d) e)) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 (+.f64 c d) e)) b) b)
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 a (+.f64 (+.f64 c d) e)))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 e a) (+.f64 (/.f64 c a) (+.f64 (/.f64 b a) (/.f64 d a)))) a)
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 e a) (+.f64 (/.f64 c a) (+.f64 (/.f64 b a) (/.f64 d a)))) a)
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 e a) (+.f64 (/.f64 c a) (+.f64 (/.f64 b a) (/.f64 d a)))) a)
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 b (+.f64 (+.f64 c d) e)) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 b (+.f64 (+.f64 c d) e)) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 b (+.f64 (+.f64 c d) e)) a) a)
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
e
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 b e) (/.f64 c e)) (+.f64 d e))
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 b e) (/.f64 c e)) (+.f64 d e))
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 b e) (/.f64 c e)) (+.f64 d e))
e
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b (+.f64 c d)) e) e)
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b (+.f64 c d)) e) e)
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b (+.f64 c d)) e) e)
(+ b (+ c e))
(+.f64 c (+.f64 b e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
d
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 b d) (/.f64 c d)) (+.f64 d e))
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 b d) (/.f64 c d)) (+.f64 d e))
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 b d) (/.f64 c d)) (+.f64 d e))
d
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c (+.f64 b e)) d) d)
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c (+.f64 b e)) d) d)
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c (+.f64 b e)) d) d)
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 d c) (+.f64 (/.f64 b c) (/.f64 e c))) c)
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 d c) (+.f64 (/.f64 b c) (/.f64 e c))) c)
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 d c) (+.f64 (/.f64 b c) (/.f64 e c))) c)
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 d e)) c) c)
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 d e)) c) c)
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 d e)) c) c)
(+ c (+ d e))
(+.f64 (+.f64 c d) e)
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 (+.f64 c d) e))
b
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (/.f64 e b))) b)
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (/.f64 e b))) b)
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (/.f64 e b))) b)
b
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 c d) e) b) b)
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 c d) e) b) b)
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 c d) e) b) b)
(+ c d)
(+.f64 c d)
(+ c (+ d e))
(+.f64 (+.f64 c d) e)
(+ c (+ d e))
(+.f64 (+.f64 c d) e)
(+ c (+ d e))
(+.f64 (+.f64 c d) e)
e
(* e (+ 1 (+ (/ c e) (/ d e))))
(+.f64 e (fma.f64 e (/.f64 c e) d))
(* e (+ 1 (+ (/ c e) (/ d e))))
(+.f64 e (fma.f64 e (/.f64 c e) d))
(* e (+ 1 (+ (/ c e) (/ d e))))
(+.f64 e (fma.f64 e (/.f64 c e) d))
e
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 c d) e) e)
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 c d) e) e)
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 c d) e) e)
(+ c e)
(+.f64 c e)
(+ c (+ d e))
(+.f64 (+.f64 c d) e)
(+ c (+ d e))
(+.f64 (+.f64 c d) e)
(+ c (+ d e))
(+.f64 (+.f64 c d) e)
d
(* d (+ 1 (+ (/ c d) (/ e d))))
(+.f64 d (fma.f64 d (/.f64 c d) e))
(* d (+ 1 (+ (/ c d) (/ e d))))
(+.f64 d (fma.f64 d (/.f64 c d) e))
(* d (+ 1 (+ (/ c d) (/ e d))))
(+.f64 d (fma.f64 d (/.f64 c d) e))
d
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c e) d) d)
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c e) d) d)
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c e) d) d)
(+ d e)
(+.f64 d e)
(+ c (+ d e))
(+.f64 (+.f64 c d) e)
(+ c (+ d e))
(+.f64 (+.f64 c d) e)
(+ c (+ d e))
(+.f64 (+.f64 c d) e)
c
(* c (+ 1 (+ (/ d c) (/ e c))))
(fma.f64 c (+.f64 (/.f64 d c) (/.f64 e c)) c)
(* c (+ 1 (+ (/ d c) (/ e c))))
(fma.f64 c (+.f64 (/.f64 d c) (/.f64 e c)) c)
(* c (+ 1 (+ (/ d c) (/ e c))))
(fma.f64 c (+.f64 (/.f64 d c) (/.f64 e c)) c)
c
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(fma.f64 c (/.f64 (+.f64 d e) c) c)
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(fma.f64 c (/.f64 (+.f64 d e) c) c)
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(fma.f64 c (/.f64 (+.f64 d e) c) c)
d
(+ d e)
(+.f64 d e)
(+ d e)
(+.f64 d e)
(+ d e)
(+.f64 d e)
e
(* e (+ 1 (/ d e)))
(+.f64 d e)
(* e (+ 1 (/ d e)))
(+.f64 d e)
(* e (+ 1 (/ d e)))
(+.f64 d e)
e
(* -1 (* e (- (* -1 (/ d e)) 1)))
(+.f64 d e)
(* -1 (* e (- (* -1 (/ d e)) 1)))
(+.f64 d e)
(* -1 (* e (- (* -1 (/ d e)) 1)))
(+.f64 d e)
e
(+ d e)
(+.f64 d e)
(+ d e)
(+.f64 d e)
(+ d e)
(+.f64 d e)
d
(* d (+ 1 (/ e d)))
(+.f64 d e)
(* d (+ 1 (/ e d)))
(+.f64 d e)
(* d (+ 1 (/ e d)))
(+.f64 d e)
d
(* -1 (* d (- (* -1 (/ e d)) 1)))
(+.f64 d e)
(* -1 (* d (- (* -1 (/ e d)) 1)))
(+.f64 d e)
(* -1 (* d (- (* -1 (/ e d)) 1)))
(+.f64 d e)

rewrite560.0ms (5%)

Memory

7.0MiB live, 407.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 342×	`lower-fma.f64`
6 342×	`lower-fma.f32`
4 648×	`lower-*.f64`
4 648×	`lower-*.f32`
3 806×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	13	24
1	72	24
2	732	24
0	8342	24

Stop Event

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

Counts

4 → 372

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
(+.f64 (+.f64 (+.f64 e d) c) b)
(+.f64 (+.f64 e d) c)
(+.f64 e d)

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

eval62.0ms (0.6%)

Memory: -14.0MiB live, 143.4MiB allocated
Compiler: Compiled 13 268 to 1 484 computations (88.8% saved)

prune81.0ms (0.7%)

Memory

-17.5MiB live, 140.3MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	504	6	510
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	504	7	511

Accuracy

100.0%

Counts

511 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
	99.5%	(+.f64 (+.f64 (+.f64 (+.f64 c b) d) e) a)
▶	99.7%	(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))
▶	99.6%	(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
▶	99.7%	(+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))
▶	99.7%	(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
▶	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))

Compiler

Compiled 180 to 115 computations (36.1% saved)

simplify10.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 b a)
✓	cost-diff	(+.f64 d c)
✓	cost-diff	(+.f64 e (+.f64 d c))
✓	cost-diff	(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
✓	cost-diff	(+.f64 c b)
✓	cost-diff	(+.f64 e (+.f64 c b))
✓	cost-diff	(+.f64 a d)
✓	cost-diff	(+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))
✓	cost-diff	(+.f64 b a)
✓	cost-diff	(+.f64 c (+.f64 b a))
✓	cost-diff	(+.f64 d (+.f64 c (+.f64 b a)))
✓	cost-diff	(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
✓	cost-diff	(+.f64 c d)
✓	cost-diff	(+.f64 (+.f64 c d) e)
✓	cost-diff	(+.f64 b (+.f64 (+.f64 c d) e))
✓	cost-diff	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
✓	cost-diff	(+.f64 e c)
✓	cost-diff	(+.f64 b a)
✓	cost-diff	(+.f64 (+.f64 b a) d)
✓	cost-diff	(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))

Rules

360×	`lower-+.f32`
326×	`lower-+.f64`
298×	`associate-+r+`
208×	`associate-+l+`
74×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	140
0	44	140
1	87	140
2	194	140
3	364	140
4	368	140
0	368	140

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))
(+.f64 (+.f64 b a) d)
(+.f64 b a)
b
a
d
(+.f64 e c)
e
c
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
(+.f64 b (+.f64 (+.f64 c d) e))
b
(+.f64 (+.f64 c d) e)
(+.f64 c d)
c
d
e
(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
e
(+.f64 d (+.f64 c (+.f64 b a)))
d
(+.f64 c (+.f64 b a))
c
(+.f64 b a)
b
a
(+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))
(+.f64 a d)
a
d
(+.f64 e (+.f64 c b))
e
(+.f64 c b)
c
b
(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
(+.f64 e (+.f64 d c))
e
(+.f64 d c)
d
c
(+.f64 b a)
b
a

Outputs
(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))
(+.f64 a (+.f64 b (+.f64 e (+.f64 d c))))
(+.f64 (+.f64 b a) d)
(+.f64 b (+.f64 a d))
(+.f64 b a)
b
a
d
(+.f64 e c)
e
c
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 e (+.f64 d c))))
(+.f64 b (+.f64 (+.f64 c d) e))
(+.f64 b (+.f64 e (+.f64 d c)))
b
(+.f64 (+.f64 c d) e)
(+.f64 e (+.f64 d c))
(+.f64 c d)
(+.f64 d c)
c
d
e
(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
(+.f64 a (+.f64 b (+.f64 e (+.f64 d c))))
e
(+.f64 d (+.f64 c (+.f64 b a)))
(+.f64 a (+.f64 b (+.f64 d c)))
d
(+.f64 c (+.f64 b a))
(+.f64 b (+.f64 a c))
c
(+.f64 b a)
b
a
(+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))
(+.f64 a (+.f64 b (+.f64 e (+.f64 d c))))
(+.f64 a d)
a
d
(+.f64 e (+.f64 c b))
(+.f64 b (+.f64 e c))
e
(+.f64 c b)
(+.f64 b c)
c
b
(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
(+.f64 a (+.f64 b (+.f64 e (+.f64 d c))))
(+.f64 e (+.f64 d c))
e
(+.f64 d c)
d
c
(+.f64 b a)
b
a

localize71.0ms (0.6%)

Memory

-12.0MiB live, 121.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 d c)
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	99.7%	(+.f64 e (+.f64 d c))
✓	accuracy	99.6%	(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
✓	accuracy	100.0%	(+.f64 c b)
✓	accuracy	100.0%	(+.f64 a d)
✓	accuracy	99.8%	(+.f64 e (+.f64 c b))
✓	accuracy	99.6%	(+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	99.7%	(+.f64 c (+.f64 b a))
✓	accuracy	99.7%	(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
✓	accuracy	99.7%	(+.f64 d (+.f64 c (+.f64 b a)))
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	99.7%	(+.f64 b (+.f64 (+.f64 c d) e))
✓	accuracy	99.7%	(+.f64 (+.f64 c d) e)
✓	accuracy	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
✓	accuracy	100.0%	(+.f64 e c)
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	99.8%	(+.f64 (+.f64 b a) d)
✓	accuracy	99.7%	(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))

Samples

43.0ms

256×

valid

Compiler

Compiled 134 to 28 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 24.0ms (96.8% of total)

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

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

series18.0ms (0.2%)

Memory

-20.9MiB live, 16.8MiB allocated

Counts

18 → 720

Calls

Call 1

Inputs
#<alt (+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))>
#<alt (+.f64 (+.f64 b a) d)>
#<alt (+.f64 b a)>
#<alt (+.f64 e c)>
#<alt #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))>
#<alt (+.f64 b (+.f64 (+.f64 c d) e))>
#<alt (+.f64 (+.f64 c d) e)>
#<alt (+.f64 c d)>
#<alt (+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))>
#<alt (+.f64 d (+.f64 c (+.f64 b a)))>
#<alt (+.f64 c (+.f64 b a))>
#<alt (+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))>
#<alt (+.f64 a d)>
#<alt (+.f64 e (+.f64 c b))>
#<alt (+.f64 c b)>
#<alt (+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))>
#<alt (+.f64 e (+.f64 d c))>
#<alt (+.f64 d c)>

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

Calls

180 calls:

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

simplify381.0ms (3.4%)

Memory

34.0MiB live, 532.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 686×	`lower-fma.f64`
14 686×	`lower-fma.f32`
3 950×	`lower-+.f64`
3 950×	`lower-+.f32`
3 656×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	5882
1	956	5882
2	2779	5738
3	6892	5168
0	8842	4898

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 588

Calls

Call 1

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

Outputs
(+ a (+ c (+ d e)))
(+.f64 (+.f64 a (+.f64 c d)) e)
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 a (+.f64 c d)) e) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 a (+.f64 c d)) e) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 a (+.f64 c d)) e) b) b)
(+ b (+ c (+ d e)))
(+.f64 (+.f64 b (+.f64 c d)) e)
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(+.f64 a (+.f64 b (fma.f64 a (+.f64 (/.f64 c a) (/.f64 e a)) d)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(+.f64 a (+.f64 b (fma.f64 a (+.f64 (/.f64 c a) (/.f64 e a)) d)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(+.f64 a (+.f64 b (fma.f64 a (+.f64 (/.f64 c a) (/.f64 e a)) d)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 (+.f64 b (+.f64 c d)) e) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 (+.f64 b (+.f64 c d)) e) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 (+.f64 b (+.f64 c d)) e) a) a)
(+ a (+ b (+ c e)))
(+.f64 b (+.f64 (+.f64 c e) a))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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e
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e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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c
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c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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b
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b
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a
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a
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d
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d
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a
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b
(* b (+ 1 (/ a b)))
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b
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b
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a
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a
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c
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e
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e
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e
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c
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c
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e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
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(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
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(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
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e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
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(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
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(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
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(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
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(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(+.f64 (+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b))) e)
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
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(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
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(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
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(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
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(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
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a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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b
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(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
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b
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
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c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
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(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
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c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
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d
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d
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e
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e
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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c
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c
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
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d
(* d (+ 1 (+ (/ c d) (/ e d))))
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d
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
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e
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e
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(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
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d
(+ c d)
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c
(* c (+ 1 (/ d c)))
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c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
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(* -1 (* c (- (* -1 (/ d c)) 1)))
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c
(+ c d)
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(+ c d)
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(+ c d)
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d
(* d (+ 1 (/ c d)))
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d
(* -1 (* d (- (* -1 (/ c d)) 1)))
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(* -1 (* d (- (* -1 (/ c d)) 1)))
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(+ a (+ b (+ c (+ d e))))
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e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (+.f64 (/.f64 a e) (/.f64 b e)) (/.f64 d e)) c))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (+.f64 (/.f64 a e) (/.f64 b e)) (/.f64 d e)) c))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (+.f64 (/.f64 a e) (/.f64 b e)) (/.f64 d e)) c))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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(+ a (+ b (+ c e)))
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d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b (+.f64 (+.f64 c e) a)) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(+ a (+ b (+ d e)))
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(+ a (+ b (+ c (+ d e))))
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c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(+.f64 (+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b))) e)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(+.f64 (+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b))) e)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(+.f64 (+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b))) e)
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(+ a (+ c (+ d e)))
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(+ a (+ b (+ c (+ d e))))
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(+ a (+ b (+ c (+ d e))))
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b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 a (+.f64 c d)) e) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 a (+.f64 c d)) e) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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(+ b (+ c (+ d e)))
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(+ a (+ b (+ c (+ d e))))
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(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(+.f64 a (+.f64 b (fma.f64 a (+.f64 (/.f64 c a) (/.f64 e a)) d)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(+.f64 a (+.f64 b (fma.f64 a (+.f64 (/.f64 c a) (/.f64 e a)) d)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(+.f64 a (+.f64 b (fma.f64 a (+.f64 (/.f64 c a) (/.f64 e a)) d)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 (+.f64 b (+.f64 c d)) e) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 (+.f64 b (+.f64 c d)) e) a) a)
(+ a (+ b c))
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(+ a (+ b (+ c d)))
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(+ a (+ b (+ c d)))
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(+ a (+ b (+ c d)))
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d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 d (+.f64 a (fma.f64 d (/.f64 b d) c)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 d (+.f64 a (fma.f64 d (/.f64 b d) c)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 d (+.f64 a (fma.f64 d (/.f64 b d) c)))
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)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
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(+ a (+ b d))
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(+ a (+ b (+ c d)))
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(+ a (+ b (+ c d)))
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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 a (+.f64 d b)) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a (+.f64 d b)) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a (+.f64 d b)) c) c)
(+ a (+ c d))
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(+ a (+ b (+ c d)))
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(+ a (+ b (+ c d)))
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b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
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(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 b (fma.f64 b (/.f64 d b) (+.f64 a c)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 b (fma.f64 b (/.f64 d b) (+.f64 a c)))
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)))
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(+ b (+ c d))
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(+ a (+ b (+ c d)))
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(+ a (+ b (+ c d)))
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a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
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(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 a (+.f64 d (fma.f64 a (/.f64 c a) b)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 a (+.f64 d (fma.f64 a (/.f64 c a) b)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(fma.f64 a (/.f64 (+.f64 b (+.f64 c d)) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(fma.f64 a (/.f64 (+.f64 b (+.f64 c d)) a) a)
(+ a b)
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c
(* c (+ 1 (+ (/ a c) (/ b c))))
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(* c (+ 1 (+ (/ a c) (/ b c))))
(+.f64 c (fma.f64 c (/.f64 a c) b))
(* c (+ 1 (+ (/ a c) (/ b c))))
(+.f64 c (fma.f64 c (/.f64 a c) b))
c
(* -1 (* c (- (* -1 (/ (+ a b) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ a b) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ a b) c)) 1)))
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b
(* b (+ 1 (+ (/ a b) (/ c b))))
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b
(* -1 (* b (- (* -1 (/ (+ a c) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ a c) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ a c) b)) 1)))
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(+ b c)
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(+ a (+ b c))
(+.f64 a (+.f64 c b))
a
(* a (+ 1 (+ (/ b a) (/ c a))))
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(* a (+ 1 (+ (/ b a) (/ c a))))
(+.f64 a (fma.f64 a (/.f64 c a) b))
(* a (+ 1 (+ (/ b a) (/ c a))))
(+.f64 a (fma.f64 a (/.f64 c a) b))
a
(* -1 (* a (- (* -1 (/ (+ b c) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b c) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c b) a) a)
(* -1 (* a (- (* -1 (/ (+ b c) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c b) a) a)
(+ b (+ c (+ d e)))
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(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
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(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(+.f64 a (+.f64 b (fma.f64 a (+.f64 (/.f64 c a) (/.f64 e a)) d)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(+.f64 a (+.f64 b (fma.f64 a (+.f64 (/.f64 c a) (/.f64 e a)) d)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(+ a (+ b (+ c e)))
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(+ a (+ b (+ c (+ d e))))
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(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(+ a (+ b (+ c d)))
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(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (+.f64 (/.f64 a e) (/.f64 b e)) (/.f64 d e)) c))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (+.f64 (/.f64 a e) (/.f64 b e)) (/.f64 d e)) c))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (+.f64 (/.f64 a e) (/.f64 b e)) (/.f64 d e)) c))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(+ a (+ b (+ d e)))
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(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(+.f64 (+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b))) e)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(+.f64 (+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b))) e)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(+.f64 (+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b))) e)
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(+ a (+ c (+ d e)))
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(+ a (+ b (+ c (+ d e))))
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(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 a (+.f64 c d)) e) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 a (+.f64 c d)) e) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 a (+.f64 c d)) e) b) 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)
(+ b c)
(+.f64 c b)
(+ b (+ c e))
(+.f64 e (+.f64 c b))
(+ b (+ c e))
(+.f64 e (+.f64 c b))
(+ b (+ c e))
(+.f64 e (+.f64 c b))
e
(* e (+ 1 (+ (/ b e) (/ c e))))
(+.f64 e (fma.f64 e (/.f64 b e) c))
(* e (+ 1 (+ (/ b e) (/ c e))))
(+.f64 e (fma.f64 e (/.f64 b e) c))
(* e (+ 1 (+ (/ b e) (/ c e))))
(+.f64 e (fma.f64 e (/.f64 b e) c))
e
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1)))
(fma.f64 e (/.f64 (+.f64 c b) e) e)
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1)))
(fma.f64 e (/.f64 (+.f64 c b) e) e)
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1)))
(fma.f64 e (/.f64 (+.f64 c b) e) e)
(+ b e)
(+.f64 e b)
(+ b (+ c e))
(+.f64 e (+.f64 c b))
(+ b (+ c e))
(+.f64 e (+.f64 c b))
(+ b (+ c e))
(+.f64 e (+.f64 c b))
c
(* c (+ 1 (+ (/ b c) (/ e c))))
(+.f64 e (+.f64 c b))
(* c (+ 1 (+ (/ b c) (/ e c))))
(+.f64 e (+.f64 c b))
(* c (+ 1 (+ (/ b c) (/ e c))))
(+.f64 e (+.f64 c b))
c
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(fma.f64 c (/.f64 (+.f64 e b) c) c)
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(fma.f64 c (/.f64 (+.f64 e b) c) c)
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(fma.f64 c (/.f64 (+.f64 e b) c) c)
(+ c e)
(+.f64 c e)
(+ b (+ c e))
(+.f64 e (+.f64 c b))
(+ b (+ c e))
(+.f64 e (+.f64 c b))
(+ b (+ c e))
(+.f64 e (+.f64 c b))
b
(* b (+ 1 (+ (/ c b) (/ e b))))
(fma.f64 b (/.f64 e b) (+.f64 c b))
(* b (+ 1 (+ (/ c b) (/ e b))))
(fma.f64 b (/.f64 e b) (+.f64 c b))
(* b (+ 1 (+ (/ c b) (/ e b))))
(fma.f64 b (/.f64 e b) (+.f64 c b))
b
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1)))
(fma.f64 b (/.f64 (+.f64 c e) b) b)
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1)))
(fma.f64 b (/.f64 (+.f64 c e) b) b)
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1)))
(fma.f64 b (/.f64 (+.f64 c e) b) 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)
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)
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (+.f64 (/.f64 a e) (/.f64 b e)) (/.f64 d e)) c))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (+.f64 (/.f64 a e) (/.f64 b e)) (/.f64 d e)) c))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(+.f64 e (fma.f64 e (+.f64 (+.f64 (/.f64 a e) (/.f64 b e)) (/.f64 d e)) c))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(+ a (+ b (+ c e)))
(+.f64 b (+.f64 (+.f64 c e) a))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(+.f64 d (+.f64 a (fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) c)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b (+.f64 (+.f64 c e) a)) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b (+.f64 (+.f64 c e) a)) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b (+.f64 (+.f64 c e) a)) d) d)
(+ a (+ b (+ d e)))
(+.f64 b (+.f64 a (+.f64 d e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(+.f64 (+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b))) e)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(+.f64 (+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b))) e)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(+.f64 (+.f64 c (+.f64 d (fma.f64 c (/.f64 a c) b))) e)
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(+ a (+ c (+ d e)))
(+.f64 (+.f64 a (+.f64 c d)) e)
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) (+.f64 a c)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 a (+.f64 c d)) e) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 a (+.f64 c d)) e) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 (+.f64 a (+.f64 c d)) e) b) b)
(+ b (+ c (+ d e)))
(+.f64 (+.f64 b (+.f64 c d)) e)
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 (+.f64 b (+.f64 c d)) e))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(+.f64 a (+.f64 b (fma.f64 a (+.f64 (/.f64 c a) (/.f64 e a)) d)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(+.f64 a (+.f64 b (fma.f64 a (+.f64 (/.f64 c a) (/.f64 e a)) d)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(+.f64 a (+.f64 b (fma.f64 a (+.f64 (/.f64 c a) (/.f64 e a)) d)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 (+.f64 b (+.f64 c d)) e) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 (+.f64 b (+.f64 c d)) e) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 (+.f64 b (+.f64 c d)) e) a) a)
(+ c d)
(+.f64 c d)
(+ c (+ d e))
(+.f64 c (+.f64 d e))
(+ c (+ d e))
(+.f64 c (+.f64 d e))
(+ c (+ d e))
(+.f64 c (+.f64 d e))
e
(* e (+ 1 (+ (/ c e) (/ d e))))
(+.f64 e (fma.f64 e (/.f64 d e) c))
(* e (+ 1 (+ (/ c e) (/ d e))))
(+.f64 e (fma.f64 e (/.f64 d e) c))
(* e (+ 1 (+ (/ c e) (/ d e))))
(+.f64 e (fma.f64 e (/.f64 d e) c))
e
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 c d) e) e)
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 c d) e) e)
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 c d) e) e)
(+ c e)
(+.f64 c e)
(+ c (+ d e))
(+.f64 c (+.f64 d e))
(+ c (+ d e))
(+.f64 c (+.f64 d e))
(+ c (+ d e))
(+.f64 c (+.f64 d e))
d
(* d (+ 1 (+ (/ c d) (/ e d))))
(fma.f64 d (/.f64 e d) (+.f64 c d))
(* d (+ 1 (+ (/ c d) (/ e d))))
(fma.f64 d (/.f64 e d) (+.f64 c d))
(* d (+ 1 (+ (/ c d) (/ e d))))
(fma.f64 d (/.f64 e d) (+.f64 c d))
d
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c e) d) d)
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c e) d) d)
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c e) d) d)
(+ d e)
(+.f64 d e)
(+ c (+ d e))
(+.f64 c (+.f64 d e))
(+ c (+ d e))
(+.f64 c (+.f64 d e))
(+ c (+ d e))
(+.f64 c (+.f64 d e))
c
(* c (+ 1 (+ (/ d c) (/ e c))))
(+.f64 c (+.f64 d e))
(* c (+ 1 (+ (/ d c) (/ e c))))
(+.f64 c (+.f64 d e))
(* c (+ 1 (+ (/ d c) (/ e c))))
(+.f64 c (+.f64 d e))
c
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(fma.f64 c (/.f64 (+.f64 d e) c) c)
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(fma.f64 c (/.f64 (+.f64 d e) c) c)
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(fma.f64 c (/.f64 (+.f64 d e) c) c)
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)
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)

rewrite826.0ms (7.3%)

Memory

-16.3MiB live, 685.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 716×	`lower-/.f64`
4 716×	`lower-/.f32`
3 288×	`lower-*.f64`
3 288×	`lower-*.f32`
3 022×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	110
0	44	110
1	311	110
2	3768	110
0	9407	110

Stop Event

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

Counts

18 → 1 607

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))
(+.f64 (+.f64 b a) d)
(+.f64 b a)
(+.f64 e c)
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
(+.f64 b (+.f64 (+.f64 c d) e))
(+.f64 (+.f64 c d) e)
(+.f64 c d)
(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
(+.f64 d (+.f64 c (+.f64 b a)))
(+.f64 c (+.f64 b a))
(+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))
(+.f64 a d)
(+.f64 e (+.f64 c b))
(+.f64 c b)
(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
(+.f64 e (+.f64 d c))
(+.f64 d c)

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

eval305.0ms (2.7%)

Memory: 44.0MiB live, 662.6MiB allocated
Compiler: Compiled 64 789 to 2 494 computations (96.2% saved)

prune244.0ms (2.2%)

Memory

-39.5MiB live, 409.6MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	2 264	9	2 273
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	2 264	16	2 280

Accuracy

100.0%

Counts

2 280 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
▶	99.5%	(+.f64 (+.f64 (+.f64 (+.f64 c b) d) e) a)
✓	99.7%	(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))
✓	99.6%	(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
✓	99.7%	(+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))
	25.6%	(+.f64 #s(approx (+ (+ b a) d) (+.f64 d b)) (+.f64 e c))
✓	99.7%	(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
	25.6%	(+.f64 e #s(approx (+ d (+ c (+ b a))) (+.f64 b (+.f64 c d))))
▶	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))
	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))
▶	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))
	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d e) (+.f64 b c)))
▶	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))
	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 d e) c)))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
▶	23.2%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))

Compiler

Compiled 343 to 213 computations (37.9% saved)

simplify11.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 d e)
✓	cost-diff	(+.f64 (+.f64 d e) b)
✓	cost-diff	(+.f64 (+.f64 (+.f64 d e) b) c)
✓	cost-diff	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))
✓	cost-diff	(+.f64 e c)
✓	cost-diff	(+.f64 d (+.f64 e c))
✓	cost-diff	(+.f64 (+.f64 d (+.f64 e c)) b)
✓	cost-diff	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))
✓	cost-diff	(+.f64 e b)
✓	cost-diff	(+.f64 d c)
✓	cost-diff	(+.f64 (+.f64 d c) (+.f64 e b))
✓	cost-diff	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))
✓	cost-diff	(+.f64 d e)
✓	cost-diff	(+.f64 c (+.f64 d e))
✓	cost-diff	#s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e)))
✓	cost-diff	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
✓	cost-diff	(+.f64 c b)
✓	cost-diff	(+.f64 (+.f64 c b) d)
✓	cost-diff	(+.f64 (+.f64 (+.f64 c b) d) e)
✓	cost-diff	(+.f64 (+.f64 (+.f64 (+.f64 c b) d) e) a)

Rules

360×	`lower-+.f32`
332×	`lower-+.f64`
236×	`associate-+r+`
134×	`associate-+l+`
92×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	182
0	45	182
1	86	182
2	172	182
3	295	182
4	313	182
0	313	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 c b) d) e) a)
(+.f64 (+.f64 (+.f64 c b) d) e)
(+.f64 (+.f64 c b) d)
(+.f64 c b)
c
b
d
e
a
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
#s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e)))
(+.f64 c (+.f64 d e))
c
(+.f64 d e)
d
e
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))
(+.f64 (+.f64 d c) (+.f64 e b))
(+.f64 d c)
d
c
(+.f64 e b)
e
b
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))
(+.f64 (+.f64 d (+.f64 e c)) b)
(+.f64 d (+.f64 e c))
d
(+.f64 e c)
e
c
b
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))
(+.f64 (+.f64 (+.f64 d e) b) c)
(+.f64 (+.f64 d e) b)
(+.f64 d e)
d
e
b
c

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 c b) d) e) a)
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 (+.f64 (+.f64 c b) d) e)
(+.f64 c (+.f64 b (+.f64 d e)))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(+.f64 c b)
c
b
d
e
a
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
#s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e)))
(+.f64 c (+.f64 d e))
c
(+.f64 d e)
d
e
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 c (+.f64 b (+.f64 d e))))
(+.f64 (+.f64 d c) (+.f64 e b))
(+.f64 c (+.f64 b (+.f64 d e)))
(+.f64 d c)
(+.f64 c d)
d
c
(+.f64 e b)
(+.f64 b e)
e
b
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 c (+.f64 b (+.f64 d e))))
(+.f64 (+.f64 d (+.f64 e c)) b)
(+.f64 c (+.f64 b (+.f64 d e)))
(+.f64 d (+.f64 e c))
(+.f64 c (+.f64 d e))
d
(+.f64 e c)
(+.f64 c e)
e
c
b
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 c (+.f64 b (+.f64 d e))))
(+.f64 (+.f64 (+.f64 d e) b) c)
(+.f64 c (+.f64 b (+.f64 d e)))
(+.f64 (+.f64 d e) b)
(+.f64 b (+.f64 d e))
(+.f64 d e)
d
e
b
c

localize119.0ms (1.1%)

Memory

12.5MiB live, 94.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 d e)
✓	accuracy	99.7%	(+.f64 (+.f64 (+.f64 d e) b) c)
✓	accuracy	99.6%	(+.f64 (+.f64 d e) b)
✓	accuracy	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))
✓	accuracy	100.0%	(+.f64 e c)
✓	accuracy	99.7%	(+.f64 (+.f64 d (+.f64 e c)) b)
✓	accuracy	99.7%	(+.f64 d (+.f64 e c))
✓	accuracy	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))
✓	accuracy	100.0%	(+.f64 e b)
✓	accuracy	100.0%	(+.f64 d c)
✓	accuracy	99.6%	(+.f64 (+.f64 d c) (+.f64 e b))
✓	accuracy	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))
✓	accuracy	100.0%	(+.f64 d e)
✓	accuracy	99.6%	(+.f64 c (+.f64 d e))
✓	accuracy	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
✓	accuracy	24.1%	#s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e)))
✓	accuracy	100.0%	(+.f64 c b)
✓	accuracy	99.8%	(+.f64 (+.f64 c b) d)
✓	accuracy	99.7%	(+.f64 (+.f64 (+.f64 c b) d) e)
✓	accuracy	99.6%	(+.f64 (+.f64 (+.f64 (+.f64 c b) d) e) a)

Samples

70.0ms

256×

valid

Compiler

Compiled 140 to 28 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 52.0ms (99% of total)

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

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

series16.0ms (0.1%)

Memory

-1.0MiB live, 35.6MiB allocated

Counts

19 → 804

Calls

Call 1

Inputs
#<alt (+.f64 (+.f64 (+.f64 (+.f64 c b) d) e) a)>
#<alt (+.f64 (+.f64 (+.f64 c b) d) e)>
#<alt (+.f64 (+.f64 c b) d)>
#<alt (+.f64 c b)>
#<alt #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))>
#<alt #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e)))>
#<alt (+.f64 c (+.f64 d e))>
#<alt (+.f64 d e)>
#<alt #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))>
#<alt (+.f64 (+.f64 d c) (+.f64 e b))>
#<alt (+.f64 d c)>
#<alt (+.f64 e b)>
#<alt #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))>
#<alt (+.f64 (+.f64 d (+.f64 e c)) b)>
#<alt (+.f64 d (+.f64 e c))>
#<alt (+.f64 e c)>
#<alt #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))>
#<alt (+.f64 (+.f64 (+.f64 d e) b) c)>
#<alt (+.f64 (+.f64 d e) b)>

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

Calls

201 calls:

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

simplify359.0ms (3.2%)

Memory

-5.9MiB live, 593.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 156×	`lower-fma.f64`
11 156×	`lower-fma.f32`
5 392×	`lower-*.f64`
5 392×	`lower-*.f32`
4 210×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	7262
1	764	7262
2	2255	6920
3	7743	6920
0	8055	6518

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 660

Calls

Call 1

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

Outputs
(+ a (+ b (+ d e)))
(+.f64 b (+.f64 a (+.f64 d e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c)))) c)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c)))) c)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c)))) c)
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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(+ a (+ b (+ c (+ d e))))
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b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
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(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
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(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 e b) (+.f64 (/.f64 a b) (/.f64 c b)))) b)
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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(+ a (+ b (+ c e)))
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(+ a (+ b (+ c (+ d e))))
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(+ a (+ b (+ c (+ d e))))
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d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
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(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
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(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(fma.f64 d (+.f64 (/.f64 a d) (+.f64 (/.f64 c d) (+.f64 (/.f64 b d) (/.f64 e d)))) d)
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(+ a (+ b (+ c d)))
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(+ a (+ b (+ c (+ d e))))
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(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
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(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(fma.f64 e (+.f64 (/.f64 a e) (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (/.f64 d e)))) e)
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(fma.f64 e (+.f64 (/.f64 a e) (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (/.f64 d e)))) e)
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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(+ b (+ c (+ d e)))
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(+ a (+ b (+ c (+ d e))))
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(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 e a) (+.f64 (/.f64 d a) (+.f64 (/.f64 b a) (/.f64 c a)))) a)
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 e a) (+.f64 (/.f64 d a) (+.f64 (/.f64 b a) (/.f64 c a)))) a)
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 e a) (+.f64 (/.f64 d a) (+.f64 (/.f64 b a) (/.f64 c a)))) a)
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(+ b (+ d e))
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(+ b (+ c (+ d e)))
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(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c))) c)
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c))) c)
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c))) c)
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 d e)) c) c)
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
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(+ c (+ d e))
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(+ b (+ c (+ d e)))
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(+ b (+ c (+ d e)))
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(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
b
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
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(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 c b) (+.f64 (/.f64 d b) (/.f64 e b))) b)
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 c b) (+.f64 (/.f64 d b) (/.f64 e b))) b)
b
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
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(+ b (+ c e))
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(+ b (+ c (+ d e)))
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d
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
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(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
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(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 c d) (+.f64 (/.f64 b d) (/.f64 e d))) d)
d
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
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(+ b (+ c d))
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(+ b (+ c (+ d e)))
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e
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
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(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (/.f64 d e))) e)
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (/.f64 d e))) e)
e
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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(+ b d)
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(+ b (+ c d))
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(+ b (+ c d))
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c
(* c (+ 1 (+ (/ b c) (/ d c))))
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(* c (+ 1 (+ (/ b c) (/ d c))))
(fma.f64 c (+.f64 (/.f64 b c) (/.f64 d c)) c)
(* c (+ 1 (+ (/ b c) (/ d c))))
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c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
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(+ c d)
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b
(* b (+ 1 (+ (/ c b) (/ d b))))
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(* b (+ 1 (+ (/ c b) (/ d b))))
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(* b (+ 1 (+ (/ c b) (/ d b))))
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b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
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(+ b c)
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d
(* d (+ 1 (+ (/ b d) (/ c d))))
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(* d (+ 1 (+ (/ b d) (/ c d))))
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(* d (+ 1 (+ (/ b d) (/ c d))))
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d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
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b
(+ b c)
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c
(* c (+ 1 (/ b c)))
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(* c (+ 1 (/ b c)))
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(* c (+ 1 (/ b c)))
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c
(* -1 (* c (- (* -1 (/ b c)) 1)))
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(* -1 (* c (- (* -1 (/ b c)) 1)))
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(* -1 (* c (- (* -1 (/ b c)) 1)))
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c
(+ b c)
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(+ b c)
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(+ b c)
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b
(* b (+ 1 (/ c b)))
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(* b (+ 1 (/ c b)))
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(* b (+ 1 (/ c b)))
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b
(* -1 (* b (- (* -1 (/ c b)) 1)))
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(* -1 (* b (- (* -1 (/ c b)) 1)))
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(* -1 (* b (- (* -1 (/ c b)) 1)))
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e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
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(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
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(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(fma.f64 e (+.f64 (/.f64 a e) (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (/.f64 d e)))) e)
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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(+ a (+ b (+ c e)))
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d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
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(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
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(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(fma.f64 d (+.f64 (/.f64 a d) (+.f64 (/.f64 c d) (+.f64 (/.f64 b d) (/.f64 e d)))) d)
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(+ a (+ b (+ d e)))
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c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
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(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c)))) c)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c)))) c)
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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(+ a (+ c (+ d e)))
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(+ a (+ b (+ c (+ d e))))
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(+ a (+ b (+ c (+ d e))))
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b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
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(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 e b) (+.f64 (/.f64 a b) (/.f64 c b)))) b)
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 e b) (+.f64 (/.f64 a b) (/.f64 c b)))) b)
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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(+ b (+ c (+ d e)))
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(+ a (+ b (+ c (+ d e))))
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(+ a (+ b (+ c (+ d e))))
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(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 e a) (+.f64 (/.f64 d a) (+.f64 (/.f64 b a) (/.f64 c a)))) a)
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 e a) (+.f64 (/.f64 d a) (+.f64 (/.f64 b a) (/.f64 c a)))) a)
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a
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b
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b
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c
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c
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d
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d
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e
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e
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c
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c
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d
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d
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e
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e
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e
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d
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d
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d
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e
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e
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e
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e
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d
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d
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c
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c
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b
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b
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a
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a
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d
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d
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c
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c
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e
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e
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b
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b
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a
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b (+.f64 a (+.f64 e c))) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b (+.f64 a (+.f64 e c))) d) d)
(+ a (+ b (+ d e)))
(+.f64 b (+.f64 a (+.f64 d e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c)))) c)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c)))) c)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c)))) c)
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 a (+.f64 d e))) c) c)
(+ a (+ c (+ d e)))
(+.f64 d (+.f64 a (+.f64 e c)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 e b) (+.f64 (/.f64 a b) (/.f64 c b)))) b)
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 e b) (+.f64 (/.f64 a b) (/.f64 c b)))) b)
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 e b) (+.f64 (/.f64 a b) (/.f64 c b)))) b)
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d (+.f64 a (+.f64 e c))) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d (+.f64 a (+.f64 e c))) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d (+.f64 a (+.f64 e c))) b) b)
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
(+ a (+ b (+ c (+ d e))))
(+.f64 b (+.f64 d (+.f64 a (+.f64 e c))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 e a) (+.f64 (/.f64 d a) (+.f64 (/.f64 b a) (/.f64 c a)))) a)
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 e a) (+.f64 (/.f64 d a) (+.f64 (/.f64 b a) (/.f64 c a)))) a)
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 e a) (+.f64 (/.f64 d a) (+.f64 (/.f64 b a) (/.f64 c a)))) a)
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 d (+.f64 b (+.f64 e c))) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 d (+.f64 b (+.f64 e c))) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 d (+.f64 b (+.f64 e c))) a) a)
(+ b (+ c e))
(+.f64 b (+.f64 e c))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
d
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 c d) (+.f64 (/.f64 b d) (/.f64 e d))) d)
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 c d) (+.f64 (/.f64 b d) (/.f64 e d))) d)
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 c d) (+.f64 (/.f64 b d) (/.f64 e d))) d)
d
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b (+.f64 e c)) d) d)
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b (+.f64 e c)) d) d)
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b (+.f64 e c)) d) d)
(+ b (+ c d))
(+.f64 b (+.f64 d c))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
e
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (/.f64 d e))) e)
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (/.f64 d e))) e)
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (/.f64 d e))) e)
e
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b (+.f64 d c)) e) e)
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b (+.f64 d c)) e) e)
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b (+.f64 d c)) e) e)
(+ c (+ d e))
(+.f64 d (+.f64 e c))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
b
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 c b) (+.f64 (/.f64 d b) (/.f64 e b))) b)
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 c b) (+.f64 (/.f64 d b) (/.f64 e b))) b)
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 c b) (+.f64 (/.f64 d b) (/.f64 e b))) b)
b
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d (+.f64 e c)) b) b)
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d (+.f64 e c)) b) b)
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d (+.f64 e c)) b) b)
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
(+ b (+ c (+ d e)))
(+.f64 d (+.f64 b (+.f64 e c)))
c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c))) c)
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c))) c)
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (/.f64 e c))) c)
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 d e)) c) c)
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 d e)) c) c)
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 d e)) c) c)
(+ b e)
(+.f64 b e)
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
d
(* d (+ 1 (+ (/ b d) (/ e d))))
(fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) d)
(* d (+ 1 (+ (/ b d) (/ e d))))
(fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) d)
(* d (+ 1 (+ (/ b d) (/ e d))))
(fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) d)
d
(* -1 (* d (- (* -1 (/ (+ b e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b e) d) d)
(* -1 (* d (- (* -1 (/ (+ b e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b e) d) d)
(* -1 (* d (- (* -1 (/ (+ b e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b e) d) d)
(+ b d)
(+.f64 b d)
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
e
(* e (+ 1 (+ (/ b e) (/ d e))))
(fma.f64 e (+.f64 (/.f64 b e) (/.f64 d e)) e)
(* e (+ 1 (+ (/ b e) (/ d e))))
(fma.f64 e (+.f64 (/.f64 b e) (/.f64 d e)) e)
(* e (+ 1 (+ (/ b e) (/ d e))))
(fma.f64 e (+.f64 (/.f64 b e) (/.f64 d e)) e)
e
(* -1 (* e (- (* -1 (/ (+ b d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b d) e) e)
(* -1 (* e (- (* -1 (/ (+ b d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b d) e) e)
(* -1 (* e (- (* -1 (/ (+ b d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b d) e) e)
(+ d e)
(+.f64 d e)
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
b
(* b (+ 1 (+ (/ d b) (/ e b))))
(fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) b)
(* b (+ 1 (+ (/ d b) (/ e b))))
(fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) b)
(* b (+ 1 (+ (/ d b) (/ e b))))
(fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) b)
b
(* -1 (* b (- (* -1 (/ (+ d e) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d e) b) b)
(* -1 (* b (- (* -1 (/ (+ d e) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d e) b) b)
(* -1 (* b (- (* -1 (/ (+ d e) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d e) b) b)

rewrite481.0ms (4.3%)

Memory

-22.3MiB live, 681.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 980×	`lower-/.f64`
4 980×	`lower-/.f32`
3 354×	`lower-pow.f64`
3 354×	`lower-pow.f32`
3 230×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	159
0	45	159
1	309	159
2	3751	159
0	9772	159

Stop Event

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

Counts

19 → 1 292

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 c b) d) e) a)
(+.f64 (+.f64 (+.f64 c b) d) e)
(+.f64 (+.f64 c b) d)
(+.f64 c b)
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
#s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e)))
(+.f64 c (+.f64 d e))
(+.f64 d e)
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))
(+.f64 (+.f64 d c) (+.f64 e b))
(+.f64 d c)
(+.f64 e b)
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))
(+.f64 (+.f64 d (+.f64 e c)) b)
(+.f64 d (+.f64 e c))
(+.f64 e c)
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))
(+.f64 (+.f64 (+.f64 d e) b) c)
(+.f64 (+.f64 d e) b)

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

eval262.0ms (2.3%)

Memory: 25.8MiB live, 610.1MiB allocated
Compiler: Compiled 49 222 to 2 187 computations (95.6% saved)

prune380.0ms (3.4%)

Memory

-25.3MiB live, 543.3MiB allocated

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	1 994	8	2 002
Fresh	2	3	5
Picked	0	5	5
Done	0	6	6
Total	1 996	22	2 018

Accuracy

100.0%

Counts

2 018 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
✓	99.5%	(+.f64 (+.f64 (+.f64 (+.f64 c b) d) e) a)
✓	99.7%	(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))
✓	99.6%	(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
✓	99.7%	(+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))
	25.6%	(+.f64 #s(approx (+ (+ b a) d) (+.f64 d b)) (+.f64 e c))
✓	99.7%	(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
	25.6%	(+.f64 e #s(approx (+ d (+ c (+ b a))) (+.f64 b (+.f64 c d))))
	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))
▶	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b e) d) c))
	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b d) e) c))
▶	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))
	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d e) (+.f64 c b)))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))
▶	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 c (+.f64 b e)) d))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
▶	23.2%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))
	23.2%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 (+.f64 c d) e)))
✓	23.2%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
▶	21.2%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))

Compiler

Compiled 426 to 261 computations (38.7% saved)

simplify13.0ms (0.1%)

Memory

-14.5MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 b e)
✓	cost-diff	(+.f64 (+.f64 b e) d)
✓	cost-diff	(+.f64 (+.f64 (+.f64 b e) d) c)
✓	cost-diff	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b e) d) c))
✓	cost-diff	(+.f64 b c)
✓	cost-diff	(+.f64 e (+.f64 b c))
✓	cost-diff	(+.f64 (+.f64 e (+.f64 b c)) d)
✓	cost-diff	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))
✓	cost-diff	(+.f64 e c)
✓	cost-diff	(+.f64 d (+.f64 e c))
✓	cost-diff	#s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c)))
✓	cost-diff	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))
✓	cost-diff	(+.f64 d e)
✓	cost-diff	#s(approx (+ c (+ d e)) (+.f64 d e))
✓	cost-diff	#s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e)))
✓	cost-diff	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))
✓	cost-diff	(+.f64 b e)
✓	cost-diff	(+.f64 c (+.f64 b e))
✓	cost-diff	(+.f64 (+.f64 c (+.f64 b e)) d)
✓	cost-diff	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 c (+.f64 b e)) d))

Rules

360×	`lower-+.f32`
340×	`lower-+.f64`
262×	`associate-+r+`
150×	`associate-+l+`
96×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	213
0	46	213
1	85	213
2	158	213
3	326	213
4	349	213
0	349	213

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 c (+.f64 b e)) d))
(+.f64 (+.f64 c (+.f64 b e)) d)
(+.f64 c (+.f64 b e))
c
(+.f64 b e)
b
e
d
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))
#s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e)))
#s(approx (+ c (+ d e)) (+.f64 d e))
(+.f64 d e)
d
e
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))
#s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c)))
(+.f64 d (+.f64 e c))
d
(+.f64 e c)
e
c
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))
(+.f64 (+.f64 e (+.f64 b c)) d)
(+.f64 e (+.f64 b c))
e
(+.f64 b c)
b
c
d
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b e) d) c))
(+.f64 (+.f64 (+.f64 b e) d) c)
(+.f64 (+.f64 b e) d)
(+.f64 b e)
b
e
d
c

Outputs
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 c (+.f64 b e)) d))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 d (+.f64 c (+.f64 e b))))
(+.f64 (+.f64 c (+.f64 b e)) d)
(+.f64 d (+.f64 c (+.f64 e b)))
(+.f64 c (+.f64 b e))
(+.f64 c (+.f64 e b))
c
(+.f64 b e)
(+.f64 e b)
b
e
d
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 e d))))
#s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e)))
#s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 e d)))
#s(approx (+ c (+ d e)) (+.f64 d e))
#s(approx (+ c (+ d e)) (+.f64 e d))
(+.f64 d e)
(+.f64 e d)
d
e
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 e (+.f64 d c))))
#s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c)))
#s(approx (+ b (+ (+ c d) e)) (+.f64 e (+.f64 d c)))
(+.f64 d (+.f64 e c))
(+.f64 e (+.f64 d c))
d
(+.f64 e c)
e
c
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 d (+.f64 c (+.f64 e b))))
(+.f64 (+.f64 e (+.f64 b c)) d)
(+.f64 d (+.f64 c (+.f64 e b)))
(+.f64 e (+.f64 b c))
(+.f64 c (+.f64 e b))
e
(+.f64 b c)
(+.f64 c b)
b
c
d
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b e) d) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 d (+.f64 c (+.f64 e b))))
(+.f64 (+.f64 (+.f64 b e) d) c)
(+.f64 d (+.f64 c (+.f64 e b)))
(+.f64 (+.f64 b e) d)
(+.f64 e (+.f64 d b))
(+.f64 b e)
(+.f64 e b)
b
e
d
c

localize71.0ms (0.6%)

Memory

27.7MiB live, 145.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b e)
✓	accuracy	99.7%	(+.f64 (+.f64 b e) d)
✓	accuracy	99.7%	(+.f64 (+.f64 (+.f64 b e) d) c)
✓	accuracy	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b e) d) c))
✓	accuracy	100.0%	(+.f64 b c)
✓	accuracy	99.8%	(+.f64 e (+.f64 b c))
✓	accuracy	99.7%	(+.f64 (+.f64 e (+.f64 b c)) d)
✓	accuracy	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))
✓	accuracy	100.0%	(+.f64 e c)
✓	accuracy	99.7%	(+.f64 d (+.f64 e c))
✓	accuracy	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))
✓	accuracy	24.1%	#s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c)))
✓	accuracy	100.0%	(+.f64 d e)
✓	accuracy	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))
✓	accuracy	24.1%	#s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e)))
✓	accuracy	22.4%	#s(approx (+ c (+ d e)) (+.f64 d e))
✓	accuracy	100.0%	(+.f64 b e)
✓	accuracy	99.7%	(+.f64 (+.f64 c (+.f64 b e)) d)
✓	accuracy	99.7%	(+.f64 c (+.f64 b e))
✓	accuracy	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 c (+.f64 b e)) d))

Samples

40.0ms

256×

valid

Compiler

Compiled 139 to 28 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 23.0ms (98.6% of total)

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

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

series14.0ms (0.1%)

Memory

-7.7MiB live, 31.3MiB allocated

Counts

19 → 816

Calls

Call 1

Inputs
#<alt #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 c (+.f64 b e)) d))>
#<alt (+.f64 (+.f64 c (+.f64 b e)) d)>
#<alt (+.f64 c (+.f64 b e))>
#<alt (+.f64 b e)>
#<alt #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))>
#<alt #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e)))>
#<alt #s(approx (+ c (+ d e)) (+.f64 d e))>
#<alt (+.f64 d e)>
#<alt #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))>
#<alt #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c)))>
#<alt (+.f64 d (+.f64 e c))>
#<alt (+.f64 e c)>
#<alt #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))>
#<alt (+.f64 (+.f64 e (+.f64 b c)) d)>
#<alt (+.f64 e (+.f64 b c))>
#<alt (+.f64 b c)>
#<alt #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b e) d) c))>
#<alt (+.f64 (+.f64 (+.f64 b e) d) c)>
#<alt (+.f64 (+.f64 b e) d)>

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

Calls

204 calls:

Time	Variable		Point	Expression
2.0ms	e	@	-inf	(+ (+ (+ b e) d) c)
0.0ms	d	@	inf	(+ (+ (+ b e) d) c)
0.0ms	d	@	inf	(+ (+ (+ (+ e d) c) b) a)
0.0ms	d	@	inf	(+ b (+ (+ c d) e))
0.0ms	d	@	inf	(+ (+ (+ (+ e d) c) b) a)

simplify464.0ms (4.1%)

Memory

6.2MiB live, 633.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 746×	`lower-fma.f64`
10 746×	`lower-fma.f32`
5 168×	`lower-*.f64`
5 168×	`lower-*.f32`
4 126×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	7412
1	728	7412
2	2168	7052
3	7523	7052
0	8280	6644

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 672

Calls

Call 1

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

Outputs
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(fma.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 a e) (+.f64 (/.f64 b e) (/.f64 d e)))) e)
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(fma.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 a e) (+.f64 (/.f64 b e) (/.f64 d e)))) e)
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e
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d
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d
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c
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(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
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c
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b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
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(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
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(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (+.f64 (/.f64 a b) (/.f64 e b)))) b)
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
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(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
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(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
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a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
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(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
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(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 d c) (+.f64 (/.f64 b c) (/.f64 e c))) c)
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
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(+ c (+ d e))
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b
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
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(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
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b
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
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(+ b (+ c d))
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e
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
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(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
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e
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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d
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(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
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d
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c
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(* c (+ 1 (+ (/ b c) (/ e c))))
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c
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
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b
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b
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e
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e
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e
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b
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b
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b
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e
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e
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e
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e
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d
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d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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c
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c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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b
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b
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a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
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(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 b a) (+.f64 (/.f64 e a) (+.f64 (/.f64 c a) (/.f64 d a)))) a)
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 b a) (+.f64 (/.f64 e a) (+.f64 (/.f64 c a) (/.f64 d a)))) a)
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(+ c (+ d e))
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(+ b (+ c (+ d e)))
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(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
b
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
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(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
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(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (/.f64 e b))) b)
b
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
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(+ b (+ d e))
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(+ b (+ c (+ d e)))
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c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
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(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
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(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 d c) (+.f64 (/.f64 b c) (/.f64 e c))) c)
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
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(+ b (+ c e))
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(+ b (+ c (+ d e)))
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(+ b (+ c (+ d e)))
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d
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
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(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
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(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 b d) (+.f64 (/.f64 c d) (/.f64 e d))) d)
d
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
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(+ b (+ c d))
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(+ b (+ c (+ d e)))
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e
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
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(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
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(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 b e) (+.f64 (/.f64 c e) (/.f64 d e))) e)
e
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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(+ d e)
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(+ c (+ d e))
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c
(* c (+ 1 (+ (/ d c) (/ e c))))
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(* c (+ 1 (+ (/ d c) (/ e c))))
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(* c (+ 1 (+ (/ d c) (/ e c))))
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c
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
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(+ c e)
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d
(* d (+ 1 (+ (/ c d) (/ e d))))
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(* d (+ 1 (+ (/ c d) (/ e d))))
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d
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
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e
(* e (+ 1 (+ (/ c e) (/ d e))))
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(* e (+ 1 (+ (/ c e) (/ d e))))
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e
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e
(+ d e)
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d
(* d (+ 1 (/ e d)))
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d
(* -1 (* d (- (* -1 (/ e d)) 1)))
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d
(+ d e)
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e
(* e (+ 1 (/ d e)))
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(* e (+ 1 (/ d e)))
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e
(* -1 (* e (- (* -1 (/ d e)) 1)))
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e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
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(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
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(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
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e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
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d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
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(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
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(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(fma.f64 d (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (+.f64 (/.f64 c d) (/.f64 e d)))) d)
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
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(+ a (+ b (+ d e)))
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c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
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(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
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(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (+.f64 (/.f64 a c) (/.f64 e c)))) c)
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
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(+ a (+ c (+ d e)))
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b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
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(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
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(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
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b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
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(+ b (+ c (+ d e)))
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(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
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(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
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(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 b a) (+.f64 (/.f64 e a) (+.f64 (/.f64 c a) (/.f64 d a)))) a)
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
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(+ b (+ c e))
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d
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
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(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
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(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 b d) (+.f64 (/.f64 c d) (/.f64 e d))) d)
d
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
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(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
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(+ b (+ c d))
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e
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
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(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
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(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 b e) (+.f64 (/.f64 c e) (/.f64 d e))) e)
e
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
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(+ c (+ d e))
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(+ b (+ c (+ d e)))
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b
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
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(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
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(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (/.f64 e b))) b)
b
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
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(+ b (+ d e))
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c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
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(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
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c
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b
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a
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b
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(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(fma.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 a e) (+.f64 (/.f64 b e) (/.f64 d e)))) e)
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(fma.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 a e) (+.f64 (/.f64 b e) (/.f64 d e)))) e)
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(fma.f64 e (/.f64 (+.f64 a (+.f64 b (+.f64 c d))) e) e)
(+ a (+ b (+ c e)))
(+.f64 a (+.f64 c (+.f64 b e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(fma.f64 d (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (+.f64 (/.f64 c d) (/.f64 e d)))) d)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(fma.f64 d (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (+.f64 (/.f64 c d) (/.f64 e d)))) d)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(fma.f64 d (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (+.f64 (/.f64 c d) (/.f64 e d)))) d)
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c (+.f64 b e))) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c (+.f64 b e))) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c (+.f64 b e))) d) d)
(+ a (+ b (+ d e)))
(+.f64 a (+.f64 b (+.f64 d e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (+.f64 (/.f64 a c) (/.f64 e c)))) c)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (+.f64 (/.f64 a c) (/.f64 e c)))) c)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(fma.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (+.f64 (/.f64 a c) (/.f64 e c)))) c)
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a (+.f64 b (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a (+.f64 b (+.f64 d e))) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a (+.f64 b (+.f64 d e))) c) c)
(+ a (+ c (+ d e)))
(+.f64 a (+.f64 c (+.f64 d e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (+.f64 (/.f64 a b) (/.f64 e b)))) b)
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (+.f64 (/.f64 a b) (/.f64 e b)))) b)
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (+.f64 (/.f64 a b) (/.f64 e b)))) b)
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 c (+.f64 d e))) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 c (+.f64 d e))) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 c (+.f64 d e))) b) b)
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 d (+.f64 a (+.f64 c (+.f64 b e))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 b a) (+.f64 (/.f64 e a) (+.f64 (/.f64 c a) (/.f64 d a)))) a)
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 b a) (+.f64 (/.f64 e a) (+.f64 (/.f64 c a) (/.f64 d a)))) a)
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(fma.f64 a (+.f64 (/.f64 b a) (+.f64 (/.f64 e a) (+.f64 (/.f64 c a) (/.f64 d a)))) a)
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 b (+.f64 c (+.f64 d e))) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 b (+.f64 c (+.f64 d e))) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(fma.f64 a (/.f64 (+.f64 b (+.f64 c (+.f64 d e))) a) a)
(+ c (+ d e))
(+.f64 c (+.f64 d e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
b
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (/.f64 e b))) b)
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (/.f64 e b))) b)
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(fma.f64 b (+.f64 (/.f64 d b) (+.f64 (/.f64 c b) (/.f64 e b))) b)
b
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 c (+.f64 d e)) b) b)
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 c (+.f64 d e)) b) b)
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 c (+.f64 d e)) b) b)
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
e
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 b e) (+.f64 (/.f64 c e) (/.f64 d e))) e)
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 b e) (+.f64 (/.f64 c e) (/.f64 d e))) e)
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(fma.f64 e (+.f64 (/.f64 b e) (+.f64 (/.f64 c e) (/.f64 d e))) e)
e
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b (+.f64 c d)) e) e)
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b (+.f64 c d)) e) e)
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b (+.f64 c d)) e) e)
(+ b (+ c e))
(+.f64 c (+.f64 b e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
d
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 b d) (+.f64 (/.f64 c d) (/.f64 e d))) d)
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 b d) (+.f64 (/.f64 c d) (/.f64 e d))) d)
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(fma.f64 d (+.f64 (/.f64 b d) (+.f64 (/.f64 c d) (/.f64 e d))) d)
d
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c (+.f64 b e)) d) d)
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c (+.f64 b e)) d) d)
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 c (+.f64 b e)) d) d)
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 d c) (+.f64 (/.f64 b c) (/.f64 e c))) c)
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 d c) (+.f64 (/.f64 b c) (/.f64 e c))) c)
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(fma.f64 c (+.f64 (/.f64 d c) (+.f64 (/.f64 b c) (/.f64 e c))) c)
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 d e)) c) c)
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 d e)) c) c)
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 b (+.f64 d e)) c) c)
(+ d e)
(+.f64 d e)
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
b
(* b (+ 1 (+ (/ d b) (/ e b))))
(fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) b)
(* b (+ 1 (+ (/ d b) (/ e b))))
(fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) b)
(* b (+ 1 (+ (/ d b) (/ e b))))
(fma.f64 b (+.f64 (/.f64 d b) (/.f64 e b)) b)
b
(* -1 (* b (- (* -1 (/ (+ d e) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d e) b) b)
(* -1 (* b (- (* -1 (/ (+ d e) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d e) b) b)
(* -1 (* b (- (* -1 (/ (+ d e) b)) 1)))
(fma.f64 b (/.f64 (+.f64 d e) b) b)
(+ b d)
(+.f64 b d)
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
e
(* e (+ 1 (+ (/ b e) (/ d e))))
(fma.f64 e (+.f64 (/.f64 b e) (/.f64 d e)) e)
(* e (+ 1 (+ (/ b e) (/ d e))))
(fma.f64 e (+.f64 (/.f64 b e) (/.f64 d e)) e)
(* e (+ 1 (+ (/ b e) (/ d e))))
(fma.f64 e (+.f64 (/.f64 b e) (/.f64 d e)) e)
e
(* -1 (* e (- (* -1 (/ (+ b d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b d) e) e)
(* -1 (* e (- (* -1 (/ (+ b d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b d) e) e)
(* -1 (* e (- (* -1 (/ (+ b d) e)) 1)))
(fma.f64 e (/.f64 (+.f64 b d) e) e)
(+ b e)
(+.f64 b e)
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
(+ b (+ d e))
(+.f64 b (+.f64 d e))
d
(* d (+ 1 (+ (/ b d) (/ e d))))
(fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) d)
(* d (+ 1 (+ (/ b d) (/ e d))))
(fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) d)
(* d (+ 1 (+ (/ b d) (/ e d))))
(fma.f64 d (+.f64 (/.f64 b d) (/.f64 e d)) d)
d
(* -1 (* d (- (* -1 (/ (+ b e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b e) d) d)
(* -1 (* d (- (* -1 (/ (+ b e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b e) d) d)
(* -1 (* d (- (* -1 (/ (+ b e) d)) 1)))
(fma.f64 d (/.f64 (+.f64 b e) d) d)

rewrite425.0ms (3.8%)

Memory

13.1MiB live, 635.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 760×	`lower-/.f64`
4 760×	`lower-/.f32`
3 282×	`lower-pow.f64`
3 282×	`lower-pow.f32`
3 162×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	193
0	46	193
1	306	193
2	3415	193
0	9229	193

Stop Event

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

Counts

19 → 787

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 c (+.f64 b e)) d))
(+.f64 (+.f64 c (+.f64 b e)) d)
(+.f64 c (+.f64 b e))
(+.f64 b e)
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))
#s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e)))
#s(approx (+ c (+ d e)) (+.f64 d e))
(+.f64 d e)
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))
#s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c)))
(+.f64 d (+.f64 e c))
(+.f64 e c)
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))
(+.f64 (+.f64 e (+.f64 b c)) d)
(+.f64 e (+.f64 b c))
(+.f64 b c)
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b e) d) c))
(+.f64 (+.f64 (+.f64 b e) d) c)
(+.f64 (+.f64 b e) d)

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

eval196.0ms (1.7%)

Memory: 20.6MiB live, 501.9MiB allocated
Compiler: Compiled 31 126 to 1 386 computations (95.5% saved)

prune173.0ms (1.5%)

Memory

-36.9MiB live, 343.8MiB allocated

Pruning

22 alts after pruning (6 fresh and 16 done)

	Pruned	Kept	Total
New	1 495	3	1 498
Fresh	3	3	6
Picked	0	5	5
Done	0	11	11
Total	1 498	22	1 520

Accuracy

100.0%

Counts

1 520 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
✓	99.5%	(+.f64 (+.f64 (+.f64 (+.f64 c b) d) e) a)
✓	99.7%	(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))
✓	99.6%	(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
✓	99.7%	(+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))
	25.6%	(+.f64 #s(approx (+ (+ b a) d) (+.f64 d b)) (+.f64 e c))
✓	99.7%	(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
	25.6%	(+.f64 e #s(approx (+ d (+ c (+ b a))) (+.f64 b (+.f64 c d))))
	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))
	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d b) e) c))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b e) d) c))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))
	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e d) (+.f64 c b)))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 c (+.f64 b e)) d))
✓	25.6%	#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
	23.2%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 (+.f64 d c) e)))
✓	23.2%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))
✓	23.2%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
✓	21.2%	#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))

Compiler

Compiled 508 to 238 computations (53.1% saved)

regimes1.2s (10.7%)

Memory

-4.6MiB live, 149.1MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 (+.f64 c d) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 (+.f64 d c) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 d e) c)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 c (+.f64 b e)) d))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d e) (+.f64 b c)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d e) (+.f64 c b)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e d) (+.f64 c b)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b d) e) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b e) d) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d b) e) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
(+.f64 e #s(approx (+ d (+ c (+ b a))) (+.f64 b (+.f64 c d))))
(+.f64 #s(approx (+ (+ b a) d) (+.f64 d b)) (+.f64 e c))
(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
(+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))
(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))
(+.f64 (+.f64 (+.f64 (+.f64 c b) d) e) a)
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

Outputs
(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))

Calls

9 calls:

416.0ms	c
290.0ms	(+.f64 (+.f64 e d) c)
56.0ms	e
8.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
8.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

Results

Accuracy	Segments	Branch
99.7%	1	`a`
99.7%	1	`b`
99.7%	1	`c`
99.7%	1	`d`
99.7%	1	`e`
99.7%	1	`(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)`
99.7%	1	`(+.f64 (+.f64 (+.f64 e d) c) b)`
99.7%	1	`(+.f64 (+.f64 e d) c)`
99.7%	1	`(+.f64 e d)`

Compiler

Compiled 74 to 55 computations (25.7% saved)

regimes1.4s (12.5%)

Memory

9.4MiB live, 124.9MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 (+.f64 c d) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 (+.f64 d c) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 d e) c)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 c (+.f64 b e)) d))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d e) (+.f64 b c)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d e) (+.f64 c b)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e d) (+.f64 c b)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b d) e) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b e) d) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d b) e) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
(+.f64 e #s(approx (+ d (+ c (+ b a))) (+.f64 b (+.f64 c d))))
(+.f64 #s(approx (+ (+ b a) d) (+.f64 d b)) (+.f64 e c))
(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
(+.f64 (+.f64 a d) (+.f64 e (+.f64 c b)))
(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))

Outputs
(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))

Calls

9 calls:

517.0ms	a
435.0ms	d
418.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
7.0ms	(+.f64 e d)
7.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

Results

Accuracy	Segments	Branch
99.7%	1	`a`
99.7%	1	`b`
99.7%	1	`c`
99.7%	1	`d`
99.7%	1	`e`
99.7%	1	`(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)`
99.7%	1	`(+.f64 (+.f64 (+.f64 e d) c) b)`
99.7%	1	`(+.f64 (+.f64 e d) c)`
99.7%	1	`(+.f64 e d)`

Compiler

Compiled 74 to 55 computations (25.7% saved)

regimes79.0ms (0.7%)

Memory

21.2MiB live, 100.0MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 (+.f64 c d) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 (+.f64 d c) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 d e) c)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 c (+.f64 b e)) d))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d c) (+.f64 e b)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d e) (+.f64 b c)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d e) (+.f64 c b)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 d (+.f64 e c)) b))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e d) (+.f64 c b)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 e (+.f64 b c)) d))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b d) e) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 b e) d) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d b) e) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) b) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
(+.f64 e #s(approx (+ d (+ c (+ b a))) (+.f64 b (+.f64 c d))))
(+.f64 #s(approx (+ (+ b a) d) (+.f64 d b)) (+.f64 e c))

Outputs
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))

Calls

9 calls:

23.0ms	c
11.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
6.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
6.0ms	e
6.0ms	a

Results

Accuracy	Segments	Branch
25.6%	1	`a`
25.6%	1	`b`
25.6%	1	`c`
25.6%	1	`d`
25.6%	1	`e`
25.6%	1	`(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)`
25.6%	1	`(+.f64 (+.f64 (+.f64 e d) c) b)`
25.6%	1	`(+.f64 (+.f64 e d) c)`
25.6%	1	`(+.f64 e d)`

Compiler

Compiled 74 to 55 computations (25.7% saved)

regimes29.0ms (0.3%)

Memory

-16.9MiB live, 60.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 (+.f64 c d) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 d (+.f64 e c))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) b) c) (+.f64 (+.f64 d c) e)))

Outputs
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))

Calls

9 calls:

3.0ms	a
3.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
2.0ms	(+.f64 e d)
2.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
2.0ms	b

Results

Accuracy	Segments	Branch
23.2%	1	`a`
23.2%	1	`(+.f64 e d)`
23.2%	1	`e`
23.2%	1	`(+.f64 (+.f64 e d) c)`
23.2%	1	`(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)`
23.2%	1	`(+.f64 (+.f64 (+.f64 e d) c) b)`
23.2%	1	`c`
23.2%	1	`d`
23.2%	1	`b`

Compiler

Compiled 74 to 55 computations (25.7% saved)

regimes24.0ms (0.2%)

Memory

-4.7MiB live, 39.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))

Outputs
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))

Calls

9 calls:

13.0ms	e
1.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
1.0ms	d
1.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
1.0ms	c

Results

Accuracy	Segments	Branch
21.2%	1	`c`
21.2%	1	`e`
21.2%	1	`(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)`
21.2%	1	`b`
21.2%	1	`(+.f64 (+.f64 (+.f64 e d) c) b)`
21.2%	1	`(+.f64 (+.f64 e d) c)`
21.2%	1	`(+.f64 e d)`
21.2%	1	`d`
21.2%	1	`a`

Compiler

Compiled 74 to 55 computations (25.7% saved)

simplify6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	85
1	44	85

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))
(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))

Outputs
(+.f64 (+.f64 (+.f64 b a) d) (+.f64 e c))
(+.f64 e (+.f64 d (+.f64 c (+.f64 b a))))
(+.f64 e (+.f64 d (+.f64 (+.f64 b a) c)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 (+.f64 c d) e)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 b (+.f64 e (+.f64 d c))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) (+.f64 c (+.f64 d e))))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ b (+ (+ c d) e)) #s(approx (+ c (+ d e)) (+.f64 d e))))

soundness843.0ms (7.5%)

Memory

-159.2MiB live, 644.3MiB allocated

Rules

14 686×	`lower-fma.f64`
14 686×	`lower-fma.f32`
11 156×	`lower-fma.f64`
11 156×	`lower-fma.f32`
9 934×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	5882
1	956	5882
2	2779	5738
3	6892	5168
0	8842	4898
0	151	1456
1	463	1456
2	1533	1384
3	5999	1348
0	8243	1276
0	249	7262
1	764	7262
2	2255	6920
3	7743	6920
0	8055	6518
0	9	24
0	13	24
1	72	24
2	732	24
0	8342	24

Stop Event

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

Compiler

Compiled 141 to 82 computations (41.8% saved)

preprocess47.0ms (0.4%)

Memory: 21.8MiB live, 138.4MiB allocated
Remove: (sort a b c d e)
Compiler: Compiled 228 to 124 computations (45.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.6s (14.1%)

preprocess80.0ms (0.7%)

explain120.0ms (1.1%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify9.0ms (0.1%)

localize26.0ms (0.2%)

series6.0ms (0.1%)

simplify259.0ms (2.3%)

rewrite560.0ms (5%)

eval62.0ms (0.6%)

prune81.0ms (0.7%)

simplify10.0ms (0.1%)

localize71.0ms (0.6%)

series18.0ms (0.2%)

simplify381.0ms (3.4%)

rewrite826.0ms (7.3%)

eval305.0ms (2.7%)

prune244.0ms (2.2%)

simplify11.0ms (0.1%)

localize119.0ms (1.1%)

series16.0ms (0.1%)

simplify359.0ms (3.2%)

rewrite481.0ms (4.3%)

eval262.0ms (2.3%)

prune380.0ms (3.4%)

simplify13.0ms (0.1%)

localize71.0ms (0.6%)

series14.0ms (0.1%)

simplify464.0ms (4.1%)

rewrite425.0ms (3.8%)

eval196.0ms (1.7%)

prune173.0ms (1.5%)

regimes1.2s (10.7%)

regimes1.4s (12.5%)

regimes79.0ms (0.7%)

regimes29.0ms (0.3%)

regimes24.0ms (0.2%)

simplify6.0ms (0.1%)

soundness843.0ms (7.5%)

preprocess47.0ms (0.4%)

end0.0ms (0%)

Profiling