Metrics for Expression 1, p15

analyze0.0ms (0%)

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 53 to 34 computations (35.8% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

ival-<=: 0.0ms (0% of total)

sample1.9s (21.1%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 887.0ms

ival-<=: 538.0ms (60.6% of total)

ival-add: 254.0ms (28.6% of total)

ival-and: 70.0ms (7.9% of total)

const: 22.0ms (2.5% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess78.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1556×	`sum3-define`
1538×	`sum4-define`
1360×	`distribute-neg-in`
1336×	`fnmadd-define`
936×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	162
1	262	140
2	1142	139
3	5162	137
0	9	7
1	22	6
2	78	6
3	301	6
4	761	6
5	1216	6
0	1216	6

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

Inputs
(+ (+ (+ (+ e d) c) b) a)
(+ (+ (+ (+ e d) c) b) (neg a))
(+ (+ (+ (+ e d) c) (neg b)) a)
(+ (+ (+ (+ e d) (neg c)) b) a)
(+ (+ (+ (+ e (neg d)) c) b) a)
(+ (+ (+ (+ (neg e) d) c) b) a)
(neg (+ (+ (+ (+ e d) c) b) (neg a)))
(neg (+ (+ (+ (+ e d) c) (neg b)) a))
(neg (+ (+ (+ (+ e d) (neg c)) b) a))
(neg (+ (+ (+ (+ e (neg d)) c) b) a))
(neg (+ (+ (+ (+ (neg e) d) c) b) a))
(+ (+ (+ (+ e d) c) a) b)
(+ (+ (+ (+ e d) a) b) c)
(+ (+ (+ (+ e a) c) b) d)
(+ (+ (+ (+ a d) c) b) e)
(+ (+ (+ (+ e d) b) c) a)
(+ (+ (+ (+ e b) c) d) a)
(+ (+ (+ (+ b d) c) e) a)
(+ (+ (+ (+ e c) d) b) a)
(+ (+ (+ (+ c d) e) b) a)
(+ (+ (+ (+ d e) c) b) a)

Outputs
(+ (+ (+ (+ e d) c) b) a)
(sum5 e d c b a)
(+ (+ (+ (+ e d) c) b) (neg a))
(- (sum4 e d c b) a)
(+ (+ (+ (+ e d) c) (neg b)) a)
(sum5 e d c a (neg b))
(+ (+ (+ (+ e d) (neg c)) b) a)
(- (sum4 e d b a) c)
(+ (+ (+ (+ e (neg d)) c) b) a)
(sum5 e b c (neg d) a)
(+ (+ (+ (+ (neg e) d) c) b) a)
(- (sum4 d c b a) e)
(neg (+ (+ (+ (+ e d) c) b) (neg a)))
(- a (sum4 e d c b))
(neg (+ (+ (+ (+ e d) c) (neg b)) a))
(- b (sum4 e d c a))
(neg (+ (+ (+ (+ e d) (neg c)) b) a))
(- c (sum4 e d b a))
(neg (+ (+ (+ (+ e (neg d)) c) b) a))
(- (- d e) (sum3 c b a))
(neg (+ (+ (+ (+ (neg e) d) c) b) a))
(- e (sum4 d c b a))
(+ (+ (+ (+ e d) c) a) b)
(sum5 e d c b a)
(+ (+ (+ (+ e d) a) b) c)
(sum5 e d c b a)
(+ (+ (+ (+ e a) c) b) d)
(sum5 e d c b a)
(+ (+ (+ (+ a d) c) b) e)
(sum5 e d c b a)
(+ (+ (+ (+ e d) b) c) a)
(sum5 e d c b a)
(+ (+ (+ (+ e b) c) d) a)
(sum5 e d c b a)
(+ (+ (+ (+ b d) c) e) a)
(sum5 e d c b a)
(+ (+ (+ (+ e c) d) b) a)
(sum5 e d c b a)
(+ (+ (+ (+ c d) e) b) a)
(sum5 e d c b a)
(+ (+ (+ (+ d e) c) b) a)
(sum5 e d c b a)

Symmetry

(sort a b c d e)

explain87.0ms (1%)

FPErrors

Click to see full error table

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

Results

54.0ms

512×

valid

Compiler

Compiled 84 to 29 computations (65.5% saved)

Precisions

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

ival-add: 12.0ms (91.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
▶	99.3%	(+.f64 (+.f64 c (+.f64 (+.f64 e d) b)) a)

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 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)
✓	cost-diff	(+.f64 e d)
✓	cost-diff	(+.f64 (+.f64 e d) b)
✓	cost-diff	(+.f64 c (+.f64 (+.f64 e d) b))
✓	cost-diff	(+.f64 (+.f64 c (+.f64 (+.f64 e d) b)) a)

Rules

798×	`sum3-define`
720×	`sum4-define`
360×	`+-lowering-+.f64`
360×	`+-lowering-+.f32`
292×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	35	46
2	116	46
3	424	46
4	956	46
5	1261	46
0	1261	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize42.0ms (0.5%)

Localize:

Found 8 expressions of interest:

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

Results

30.0ms

256×

valid

Compiler

Compiled 64 to 13 computations (79.7% saved)

Precisions

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

ival-add: 8.0ms (102.1% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

7 → 312

Calls

Call 1

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

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 (+ 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 (+ 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 (+ 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 (+ 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)>
#<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)))>
#<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 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)))>
#<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)))>

Calls

78 calls:

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

rewrite371.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4294×	`-lowering-.f32`
4294×	`-lowering-.f64`
3342×	`/-lowering-/.f32`
3342×	`/-lowering-/.f64`
2382×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	115	33
2	1247	33
0	8948	33

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 519

Calls

Call 1

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

Outputs
(+.f64 c (+.f64 (+.f64 (+.f64 e d) b) a))
(+.f64 e (+.f64 (+.f64 c d) (+.f64 b a)))
(+.f64 (+.f64 e d) (+.f64 c (+.f64 b a)))
(+.f64 (+.f64 e d) (+.f64 (+.f64 c b) a))
(+.f64 b (+.f64 (+.f64 c (+.f64 e d)) a))
(+.f64 (+.f64 (+.f64 e d) b) (+.f64 c a))
(+.f64 a (+.f64 c (+.f64 (+.f64 e d) b)))
(+.f64 (+.f64 c (+.f64 e d)) (+.f64 b a))
(+.f64 (+.f64 c (+.f64 (+.f64 e d) b)) a)
(+.f64 (+.f64 (+.f64 (+.f64 e d) b) a) c)
(+.f64 (+.f64 b a) (+.f64 c (+.f64 e d)))
(+.f64 (+.f64 a c) (+.f64 (+.f64 e d) b))
(+.f64 (+.f64 a (+.f64 e d)) (+.f64 c b))
(+.f64 (+.f64 a (+.f64 c (+.f64 e d))) b)
(-.f64 (/.f64 (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b))) (+.f64 c (-.f64 (+.f64 (+.f64 e d) b) a))) (/.f64 (.f64 a a) (+.f64 c (-.f64 (+.f64 (+.f64 e d) b) a))))
(-.f64 (/.f64 (.f64 c c) (-.f64 c (+.f64 (+.f64 (+.f64 e d) b) a))) (/.f64 (.f64 (+.f64 (+.f64 (+.f64 e d) b) a) (+.f64 (+.f64 (+.f64 e d) b) a)) (-.f64 c (+.f64 (+.f64 (+.f64 e d) b) a))))
(-.f64 (/.f64 (.f64 a a) (-.f64 a (+.f64 c (+.f64 (+.f64 e d) b)))) (/.f64 (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b))) (-.f64 a (+.f64 c (+.f64 (+.f64 e d) b)))))
(-.f64 (/.f64 (.f64 (+.f64 c (+.f64 e d)) (+.f64 c (+.f64 e d))) (-.f64 (+.f64 c (+.f64 e d)) (+.f64 b a))) (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (-.f64 (+.f64 c (+.f64 e d)) (+.f64 b a))))
(fma.f64 (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 b (-.f64 b (+.f64 e d))))) (+.f64 c a))
(fma.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 c (+.f64 e d)) (.f64 (+.f64 c (+.f64 e d)) (+.f64 c (+.f64 e d))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 c (+.f64 e d)) (+.f64 c (+.f64 e d))) (.f64 b (-.f64 b (+.f64 c (+.f64 e d)))))) a)
(fma.f64 (+.f64 (.f64 e (.f64 e e)) (.f64 d (.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 e e) (.f64 d (-.f64 d e)))) (+.f64 c (+.f64 b a)))
(fma.f64 (+.f64 (.f64 e (.f64 e e)) (.f64 d (.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 e e) (.f64 d (-.f64 d e)))) (+.f64 (+.f64 c b) a))
(fma.f64 (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 c (.f64 c c))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (-.f64 c (+.f64 e d))))) (+.f64 b a))
(fma.f64 (+.f64 (.f64 c (.f64 c c)) (.f64 (+.f64 (+.f64 e d) b) (.f64 (+.f64 (+.f64 e d) b) (+.f64 (+.f64 e d) b)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 c c) (.f64 (+.f64 (+.f64 e d) b) (-.f64 (+.f64 (+.f64 e d) b) c)))) a)
(fma.f64 (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 e d) b)) (+.f64 c a))
(fma.f64 (-.f64 (.f64 (+.f64 c (+.f64 e d)) (+.f64 c (+.f64 e d))) (.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 c (-.f64 (+.f64 e d) b))) a)
(fma.f64 (-.f64 (.f64 e e) (.f64 d d)) (/.f64 #s(literal 1 binary64) (-.f64 e d)) (+.f64 c (+.f64 b a)))
(fma.f64 (-.f64 (.f64 e e) (.f64 d d)) (/.f64 #s(literal 1 binary64) (-.f64 e d)) (+.f64 (+.f64 c b) a))
(fma.f64 (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c c)) (/.f64 #s(literal 1 binary64) (+.f64 e (-.f64 d c))) (+.f64 b a))
(fma.f64 (-.f64 (.f64 c c) (.f64 (+.f64 (+.f64 e d) b) (+.f64 (+.f64 e d) b))) (/.f64 #s(literal 1 binary64) (-.f64 c (+.f64 (+.f64 e d) b))) a)
(/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b))))) (+.f64 (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b))) (.f64 a (-.f64 a (+.f64 c (+.f64 (+.f64 e d) b))))))
(/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b))))) (+.f64 (.f64 a a) (-.f64 (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b))) (*.f64 a (+.f64 c (+.f64 (+.f64 e d) b))))))
(/.f64 (*.f64 (+.f64 c (+.f64 (+.f64 (+.f64 e d) b) a)) (+.f64 c (-.f64 (+.f64 (+.f64 e d) b) a))) (+.f64 c (-.f64 (+.f64 (+.f64 e d) b) a)))
(/.f64 (neg.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b)))))) (neg.f64 (+.f64 (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b))) (.f64 a (-.f64 a (+.f64 c (+.f64 (+.f64 e d) b)))))))
(/.f64 (neg.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b)))))) (neg.f64 (+.f64 (.f64 a a) (-.f64 (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b))) (*.f64 a (+.f64 c (+.f64 (+.f64 e d) b)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 c (+.f64 (+.f64 (+.f64 e d) b) a)) (+.f64 c (-.f64 (+.f64 (+.f64 e d) b) a)))) (neg.f64 (+.f64 c (-.f64 (+.f64 (+.f64 e d) b) a))))
(/.f64 (+.f64 (.f64 c (.f64 c c)) (.f64 (+.f64 (+.f64 (+.f64 e d) b) a) (.f64 (+.f64 (+.f64 (+.f64 e d) b) a) (+.f64 (+.f64 (+.f64 e d) b) a)))) (+.f64 (.f64 c c) (-.f64 (.f64 (+.f64 (+.f64 (+.f64 e d) b) a) (+.f64 (+.f64 (+.f64 e d) b) a)) (*.f64 c (+.f64 (+.f64 (+.f64 e d) b) a)))))
(/.f64 (+.f64 (.f64 (+.f64 c (+.f64 e d)) (.f64 (+.f64 c (+.f64 e d)) (+.f64 c (+.f64 e d)))) (.f64 (+.f64 b a) (.f64 (+.f64 b a) (+.f64 b a)))) (+.f64 (.f64 (+.f64 c (+.f64 e d)) (+.f64 c (+.f64 e d))) (-.f64 (.f64 (+.f64 b a) (+.f64 b a)) (*.f64 (+.f64 c (+.f64 e d)) (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b))) (.f64 a (-.f64 a (+.f64 c (+.f64 (+.f64 e d) b))))) (+.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 c (-.f64 (+.f64 (+.f64 e d) b) a)) (*.f64 (+.f64 c (+.f64 (+.f64 (+.f64 e d) b) a)) (+.f64 c (-.f64 (+.f64 (+.f64 e d) b) a)))))
(/.f64 (-.f64 (.f64 c c) (.f64 (+.f64 (+.f64 (+.f64 e d) b) a) (+.f64 (+.f64 (+.f64 e d) b) a))) (-.f64 c (+.f64 (+.f64 (+.f64 e d) b) a)))
(/.f64 (-.f64 (.f64 a a) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b)))) (-.f64 a (+.f64 c (+.f64 (+.f64 e d) b))))
(/.f64 (-.f64 (.f64 (+.f64 c (+.f64 e d)) (+.f64 c (+.f64 e d))) (.f64 (+.f64 b a) (+.f64 b a))) (-.f64 (+.f64 c (+.f64 e d)) (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b))) (.f64 a (-.f64 a (+.f64 c (+.f64 (+.f64 e d) b))))) (+.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (.f64 (+.f64 c (+.f64 (+.f64 e d) b)) (+.f64 c (+.f64 (+.f64 e d) b))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 c (-.f64 (+.f64 (+.f64 e d) b) a)) (*.f64 (+.f64 c (+.f64 (+.f64 (+.f64 e d) b) a)) (+.f64 c (-.f64 (+.f64 (+.f64 e d) b) a))))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 c (.f64 c c))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (.f64 b a)))) (.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (-.f64 c (+.f64 e d)))) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (-.f64 c (+.f64 e d)))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (*.f64 b a)))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 c (.f64 c c))) (-.f64 b a)) (.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (-.f64 c (+.f64 e d)))) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (*.f64 c (-.f64 c (+.f64 e d)))) (-.f64 b a)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 c (.f64 c c))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (.f64 b a)))) (.f64 (+.f64 (.f64 c c) (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (+.f64 e d)))) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 (+.f64 (.f64 c c) (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (+.f64 e d)))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (*.f64 b a)))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 c (.f64 c c))) (-.f64 b a)) (.f64 (+.f64 (.f64 c c) (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (+.f64 e d)))) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (+.f64 (.f64 c c) (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (*.f64 c (+.f64 e d)))) (-.f64 b a)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c c)) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (.f64 b a)))) (.f64 (+.f64 e (-.f64 d c)) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 (+.f64 e (-.f64 d c)) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (*.f64 b a)))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c c)) (-.f64 b a)) (.f64 (+.f64 e (-.f64 d c)) (-.f64 (.f64 b b) (.f64 a a)))) (*.f64 (+.f64 e (-.f64 d c)) (-.f64 b a)))
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 c (.f64 c c)))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (.f64 b a)))) (.f64 (neg.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (-.f64 c (+.f64 e d))))) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 (neg.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (-.f64 c (+.f64 e d))))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (*.f64 b a)))))
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 c (.f64 c c)))) (-.f64 b a)) (.f64 (neg.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (-.f64 c (+.f64 e d))))) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (neg.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (*.f64 c (-.f64 c (+.f64 e d))))) (-.f64 b a)))
(/.f64 (+.f64 (.f64 (neg.f64 (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c c))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (.f64 b a)))) (.f64 (neg.f64 (+.f64 e (-.f64 d c))) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 (neg.f64 (+.f64 e (-.f64 d c))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (*.f64 b a)))))
(/.f64 (+.f64 (.f64 (neg.f64 (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c c))) (-.f64 b a)) (.f64 (neg.f64 (+.f64 e (-.f64 d c))) (-.f64 (.f64 b b) (.f64 a a)))) (*.f64 (neg.f64 (+.f64 e (-.f64 d c))) (-.f64 b a)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 e (.f64 e e)) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d)))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (.f64 b a)))) (.f64 (+.f64 (.f64 e e) (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (.f64 e (+.f64 c d)))) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 (+.f64 (.f64 e e) (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (.f64 e (+.f64 c d)))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (*.f64 b a)))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 e (.f64 e e)) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d)))) (-.f64 b a)) (.f64 (+.f64 (.f64 e e) (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (.f64 e (+.f64 c d)))) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (+.f64 (.f64 e e) (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (*.f64 e (+.f64 c d)))) (-.f64 b a)))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (.f64 b a)))) (.f64 (/.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (-.f64 c (+.f64 e d)))) (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 c (.f64 c c)))) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 (/.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (-.f64 c (+.f64 e d)))) (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 c (.f64 c c)))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (*.f64 b a)))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 b a)) (.f64 (/.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (-.f64 c (+.f64 e d)))) (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 c (.f64 c c)))) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (/.f64 (+.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c (-.f64 c (+.f64 e d)))) (+.f64 (.f64 (+.f64 e d) (.f64 (+.f64 e d) (+.f64 e d))) (.f64 c (*.f64 c c)))) (-.f64 b a)))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (.f64 b a)))) (.f64 (/.f64 (+.f64 e (-.f64 d c)) (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c c))) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 (/.f64 (+.f64 e (-.f64 d c)) (-.f64 (.f64 (+.f64 e d) (+.f64 e d)) (.f64 c c))) (+.f64 (.f64 b b) (-.f64 (.f64 a a) (*.f64 b a)))))
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simplify264.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

5038×	`+-lowering-+.f64`
5038×	`+-lowering-+.f32`
4014×	`-lowering-.f32`
4014×	`-lowering-.f64`
1696×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2900
1	573	2476
2	2040	2320
0	8231	2320

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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 (+ 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 (+ 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)))
(+ 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)))
(+ 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)
(+ 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)))
(+ 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)))
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)))
(+ 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)))

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

eval377.0ms (4.2%)

Compiler: Compiled 24979 to 1619 computations (93.5% saved)

prune90.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	868	10	878
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	869	11	880

Accuracy

100.0%

Counts

880 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(+.f64 (+.f64 (+.f64 (+.f64 c e) d) b) a)
	99.2%	(+.f64 (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 d e) c) #s(literal 1 binary64)) c) b) a)
▶	99.6%	(+.f64 (+.f64 e d) (+.f64 (+.f64 c b) a))
▶	99.5%	(+.f64 (+.f64 d (+.f64 e (+.f64 c b))) a)
✓	99.3%	(+.f64 (+.f64 c (+.f64 (+.f64 e d) b)) a)
	99.4%	(+.f64 (+.f64 c (+.f64 e d)) (+.f64 b a))
▶	20.2%	(+.f64 (+.f64 c e) a)
▶	99.5%	(+.f64 e (+.f64 (+.f64 c d) (+.f64 b a)))
	19.1%	(+.f64 e a)
	25.7%	(+.f64 d (+.f64 b (+.f64 e c)))
▶	18.9%	e

Compiler

Compiled 262 to 175 computations (33.2% saved)

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

800×	`sum3-define`
732×	`sum4-define`
360×	`+-lowering-+.f64`
360×	`+-lowering-+.f32`
256×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	56	77
2	213	77
3	635	77
4	1142	77
5	1217	77
0	1217	77

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize71.0ms (0.8%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 c b)
✓	accuracy	99.9%	(+.f64 e (+.f64 c b))
✓	accuracy	99.6%	(+.f64 d (+.f64 e (+.f64 c b)))
✓	accuracy	99.6%	(+.f64 (+.f64 d (+.f64 e (+.f64 c b))) a)
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	99.6%	(+.f64 e (+.f64 (+.f64 c d) (+.f64 b a)))
✓	accuracy	99.6%	(+.f64 (+.f64 c d) (+.f64 b a))
✓	accuracy	100.0%	(+.f64 c e)
✓	accuracy	99.7%	(+.f64 (+.f64 c e) a)
✓	accuracy	100.0%	(+.f64 e d)
✓	accuracy	100.0%	(+.f64 c b)
✓	accuracy	99.7%	(+.f64 (+.f64 c b) a)
✓	accuracy	99.6%	(+.f64 (+.f64 e d) (+.f64 (+.f64 c b) a))

Results

52.0ms

256×

valid

Compiler

Compiled 99 to 19 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 15.0ms (99.2% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Counts

13 → 504

Calls

Call 1

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

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

Calls

126 calls:

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

rewrite409.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2588×	`/-lowering-/.f32`
2588×	`/-lowering-/.f64`
2168×	`-lowering-.f32`
2168×	`-lowering-.f64`
2034×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	61
1	189	55
2	2495	55
0	9097	55

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 684

Calls

Call 1

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

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

simplify375.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

4808×	`+-lowering-+.f64`
4808×	`+-lowering-+.f32`
4694×	`-lowering-.f32`
4694×	`-lowering-.f64`
1532×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	296	4280
1	957	3708
2	3171	3456
0	8444	3456

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

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

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

eval184.0ms (2.1%)

Compiler: Compiled 27924 to 1808 computations (93.5% saved)

prune136.0ms (1.5%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1226	7	1233
Fresh	4	1	5
Picked	1	4	5
Done	1	0	1
Total	1232	12	1244

Accuracy

100.0%

Counts

1244 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (+.f64 e (+.f64 c b)) (+.f64 d a))
✓	99.6%	(+.f64 (+.f64 e d) (+.f64 (+.f64 c b) a))
▶	25.7%	(+.f64 (+.f64 e d) (+.f64 b c))
	23.2%	(+.f64 (+.f64 e d) c)
	99.6%	(+.f64 (+.f64 e c) (+.f64 d (+.f64 b a)))
✓	99.5%	(+.f64 (+.f64 d (+.f64 e (+.f64 c b))) a)
▶	99.7%	(+.f64 (+.f64 d (+.f64 c b)) (+.f64 e a))
	25.7%	(+.f64 (+.f64 b (+.f64 c d)) e)
✓	99.5%	(+.f64 e (+.f64 (+.f64 c d) (+.f64 b a)))
▶	21.1%	(+.f64 e d)
▶	25.7%	(+.f64 d (+.f64 b (+.f64 e c)))
✓	18.9%	e

Compiler

Compiled 240 to 160 computations (33.3% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

798×	`sum3-define`
720×	`sum4-define`
360×	`+-lowering-+.f64`
360×	`+-lowering-+.f32`
282×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	87
1	56	78
2	231	78
3	598	78
4	1056	78
5	1213	78
0	1213	78

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize93.0ms (1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 d a)
✓	accuracy	100.0%	(+.f64 c b)
✓	accuracy	99.9%	(+.f64 e (+.f64 c b))
✓	accuracy	99.7%	(+.f64 (+.f64 e (+.f64 c b)) (+.f64 d a))
✓	accuracy	100.0%	(+.f64 e d)
✓	accuracy	100.0%	(+.f64 b c)
✓	accuracy	99.6%	(+.f64 (+.f64 e d) (+.f64 b c))
✓	accuracy	100.0%	(+.f64 e c)
✓	accuracy	99.6%	(+.f64 d (+.f64 b (+.f64 e c)))
✓	accuracy	99.6%	(+.f64 b (+.f64 e c))
✓	accuracy	100.0%	(+.f64 e d)
✓	accuracy	100.0%	(+.f64 e a)
✓	accuracy	100.0%	(+.f64 c b)
✓	accuracy	99.8%	(+.f64 d (+.f64 c b))
✓	accuracy	99.6%	(+.f64 (+.f64 d (+.f64 c b)) (+.f64 e a))

Results

44.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 14.0ms (100.3% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

13 → 468

Calls

Call 1

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

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

Calls

117 calls:

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

rewrite395.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2316×	`fma-lowering-fma.f32`
2316×	`fma-lowering-fma.f64`
2176×	`-lowering-.f32`
2176×	`-lowering-.f64`
2052×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	61
1	199	52
2	2796	52
0	8487	52

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 587

Calls

Call 1

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

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

simplify333.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

4762×	`+-lowering-+.f64`
4762×	`+-lowering-+.f32`
4718×	`-lowering-.f32`
4718×	`-lowering-.f64`
1692×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	3698
1	750	3256
2	2462	3022
0	8588	3022

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(+ 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)))
(+ 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 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 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
(+ 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
(+ a e)
(+ a e)
(+ a e)
e
(* e (+ 1 (/ a e)))
(* e (+ 1 (/ a e)))
(* e (+ 1 (/ a e)))
e
(* -1 (* e (- (* -1 (/ a e)) 1)))
(* -1 (* e (- (* -1 (/ a e)) 1)))
(* -1 (* e (- (* -1 (/ a e)) 1)))
e
(+ a e)
(+ a e)
(+ a e)
a
(* a (+ 1 (/ e a)))
(* a (+ 1 (/ e a)))
(* a (+ 1 (/ e a)))
a
(* -1 (* a (- (* -1 (/ e a)) 1)))
(* -1 (* a (- (* -1 (/ e a)) 1)))
(* -1 (* a (- (* -1 (/ e a)) 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)))
(+ 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)))
(+ 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 (+ 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)
(+ 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)))
(+ 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
(+ 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)))
(+ 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)))
(+ 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
(+ 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 (+ 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)))
(+ 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)
(+ 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)))
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)))
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)))

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

eval164.0ms (1.8%)

Compiler: Compiled 22563 to 1350 computations (94% saved)

prune156.0ms (1.7%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	1134	8	1142
Fresh	0	3	3
Picked	0	5	5
Done	0	4	4
Total	1134	20	1154

Accuracy

100.0%

Counts

1154 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.7%	(+.f64 (+.f64 (+.f64 d e) c) b)
	25.7%	(+.f64 (+.f64 (+.f64 d b) e) c)
	25.7%	(+.f64 (+.f64 e (+.f64 d c)) b)
✓	99.6%	(+.f64 (+.f64 e (+.f64 c b)) (+.f64 d a))
▶	25.7%	(+.f64 (+.f64 e (+.f64 c b)) d)
✓	99.6%	(+.f64 (+.f64 e d) (+.f64 (+.f64 c b) a))
✓	25.7%	(+.f64 (+.f64 e d) (+.f64 b c))
	23.2%	(+.f64 (+.f64 e d) c)
▶	99.6%	(+.f64 (+.f64 e c) (+.f64 d (+.f64 b a)))
✓	99.5%	(+.f64 (+.f64 d (+.f64 e (+.f64 c b))) a)
✓	99.7%	(+.f64 (+.f64 d (+.f64 c b)) (+.f64 e a))
	25.7%	(+.f64 (+.f64 d (+.f64 c b)) e)
▶	25.7%	(+.f64 (+.f64 d (+.f64 b e)) c)
	25.7%	(+.f64 (+.f64 b (+.f64 c d)) e)
✓	99.5%	(+.f64 e (+.f64 (+.f64 c d) (+.f64 b a)))
✓	21.1%	(+.f64 e d)
▶	25.7%	(+.f64 d (+.f64 (+.f64 b e) c))
▶	23.2%	(+.f64 d (+.f64 c e))
✓	25.7%	(+.f64 d (+.f64 b (+.f64 e c)))
✓	18.9%	e

Compiler

Compiled 368 to 246 computations (33.2% saved)

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

796×	`sum3-define`
720×	`sum4-define`
360×	`+-lowering-+.f64`
360×	`+-lowering-+.f32`
240×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	50	83
2	161	79
3	481	79
4	973	79
5	1238	79
0	1238	79

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize73.0ms (0.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 c b)
✓	accuracy	99.9%	(+.f64 e (+.f64 c b))
✓	accuracy	99.6%	(+.f64 (+.f64 e (+.f64 c b)) d)
✓	accuracy	100.0%	(+.f64 b e)
✓	accuracy	99.8%	(+.f64 d (+.f64 b e))
✓	accuracy	99.7%	(+.f64 (+.f64 d (+.f64 b e)) c)
✓	accuracy	100.0%	(+.f64 b e)
✓	accuracy	99.7%	(+.f64 (+.f64 b e) c)
✓	accuracy	99.6%	(+.f64 d (+.f64 (+.f64 b e) c))
✓	accuracy	100.0%	(+.f64 c e)
✓	accuracy	99.7%	(+.f64 d (+.f64 c e))
✓	accuracy	100.0%	(+.f64 e c)
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	99.8%	(+.f64 d (+.f64 b a))
✓	accuracy	99.7%	(+.f64 (+.f64 e c) (+.f64 d (+.f64 b a)))

Results

50.0ms

256×

valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 15.0ms (99.2% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

14 → 504

Calls

Call 1

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

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 (+ 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 (+ 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 (+ 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>
#<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)>
#<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 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>
#<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 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 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 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 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 (+ 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 (+ 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 (+ 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 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 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 e>
#<alt (+ b e)>
#<alt (+ b e)>
#<alt (+ b e)>
#<alt b>
#<alt (* b (+ 1 (/ e b)))>
#<alt (* b (+ 1 (/ e b)))>
#<alt (* b (+ 1 (/ e b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ e b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ e b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ e b)) 1)))>
#<alt b>
#<alt (+ b e)>
#<alt (+ b e)>
#<alt (+ b e)>
#<alt e>
#<alt (* e (+ 1 (/ b e)))>
#<alt (* e (+ 1 (/ b e)))>
#<alt (* e (+ 1 (/ b e)))>
#<alt e>
#<alt (* -1 (* e (- (* -1 (/ b e)) 1)))>
#<alt (* -1 (* e (- (* -1 (/ b e)) 1)))>
#<alt (* -1 (* e (- (* -1 (/ b 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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)))>

Calls

126 calls:

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

rewrite498.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2692×	`/-lowering-/.f32`
2692×	`/-lowering-/.f64`
2054×	`-lowering-.f32`
2054×	`-lowering-.f64`
2030×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	63
1	196	60
2	2581	56
0	9084	56

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 689

Calls

Call 1

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

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

simplify332.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

5336×	`+-lowering-+.f64`
5336×	`+-lowering-+.f32`
2832×	`-lowering-.f32`
2832×	`-lowering-.f64`
1884×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	3924
1	863	3512
2	2831	3356
0	8041	3356

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

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 (+ 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 (+ 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 (+ 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
(+ 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)
(+ 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 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
(+ 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 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 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
(+ 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)))
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)))
(+ 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)))
(+ 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 (+ 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)
(+ 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)))
(+ 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)))
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)))
(+ 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)))
(+ 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 (+ 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)))
(+ 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 (+ 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)))
(+ 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)))
(+ 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)))

Outputs
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 c (+.f64 b d)))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(*.f64 e (+.f64 (/.f64 a e) (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(*.f64 e (+.f64 (/.f64 a e) (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(*.f64 e (+.f64 (/.f64 a e) (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 d e))))))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (+.f64 c (+.f64 b d))) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (+.f64 c (+.f64 b d))) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (+.f64 c (+.f64 b d))) e)) (-.f64 #s(literal 0 binary64) e))
(+ a (+ b (+ d e)))
(+.f64 d (+.f64 (+.f64 b e) a))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(*.f64 c (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b c)) (+.f64 (/.f64 d c) (+.f64 (/.f64 e c) (/.f64 a c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(*.f64 c (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b c)) (+.f64 (/.f64 d c) (+.f64 (/.f64 e c) (/.f64 a c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(*.f64 c (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b c)) (+.f64 (/.f64 d c) (+.f64 (/.f64 e c) (/.f64 a c)))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 d (+.f64 (+.f64 b e) a)) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 d (+.f64 (+.f64 b e) a)) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 d (+.f64 (+.f64 b e) a)) c)) (-.f64 #s(literal 0 binary64) c))
(+ a (+ b (+ c e)))
(+.f64 a (+.f64 b (+.f64 c e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(*.f64 d (+.f64 (/.f64 b d) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 a d)) (/.f64 c d)) (/.f64 e d))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(*.f64 d (+.f64 (/.f64 b d) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 a d)) (/.f64 c d)) (/.f64 e d))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(*.f64 d (+.f64 (/.f64 b d) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 a d)) (/.f64 c d)) (/.f64 e d))))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (+.f64 b (+.f64 c e))) d)) (-.f64 #s(literal 0 binary64) d))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (+.f64 b (+.f64 c e))) d)) (-.f64 #s(literal 0 binary64) d))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (+.f64 b (+.f64 c e))) d)) (-.f64 #s(literal 0 binary64) d))
(+ a (+ c (+ d e)))
(+.f64 a (+.f64 c (+.f64 d e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(*.f64 b (+.f64 (/.f64 d b) (+.f64 (+.f64 (/.f64 c b) (/.f64 e b)) (+.f64 #s(literal 1 binary64) (/.f64 a b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(*.f64 b (+.f64 (/.f64 d b) (+.f64 (+.f64 (/.f64 c b) (/.f64 e b)) (+.f64 #s(literal 1 binary64) (/.f64 a b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(*.f64 b (+.f64 (/.f64 d b) (+.f64 (+.f64 (/.f64 c b) (/.f64 e b)) (+.f64 #s(literal 1 binary64) (/.f64 a b)))))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (+.f64 c (+.f64 d e))) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (+.f64 c (+.f64 d e))) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (+.f64 c (+.f64 d e))) b)) (-.f64 #s(literal 0 binary64) b))
(+ b (+ c (+ d e)))
(+.f64 b (+.f64 c (+.f64 d e)))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
(+ a (+ b (+ c (+ d e))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d e))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(*.f64 a (+.f64 (/.f64 b a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 c a)) (+.f64 (/.f64 d a) (/.f64 e a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(*.f64 a (+.f64 (/.f64 b a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 c a)) (+.f64 (/.f64 d a) (/.f64 e a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(*.f64 a (+.f64 (/.f64 b a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 c a)) (+.f64 (/.f64 d a) (/.f64 e a)))))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (+.f64 c (+.f64 d e))) a))))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (+.f64 c (+.f64 d e))) a))))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (+.f64 c (+.f64 d e))) a))))
c
(+ c e)
(+.f64 c e)
(+ c e)
(+.f64 c e)
(+ c e)
(+.f64 c e)
e
(* e (+ 1 (/ c e)))
(*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 c e)))
(* e (+ 1 (/ c e)))
(*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 c e)))
(* e (+ 1 (/ c e)))
(*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 c e)))
e
(* -1 (* e (- (* -1 (/ c e)) 1)))
(*.f64 e (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 c e))))
(* -1 (* e (- (* -1 (/ c e)) 1)))
(*.f64 e (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 c e))))
(* -1 (* e (- (* -1 (/ c e)) 1)))
(*.f64 e (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 c e))))
e
(+ c e)
(+.f64 c e)
(+ c e)
(+.f64 c e)
(+ c e)
(+.f64 c e)
c
(* c (+ 1 (/ e c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 e c)))
(* c (+ 1 (/ e c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 e c)))
(* c (+ 1 (/ e c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 e c)))
c
(* -1 (* c (- (* -1 (/ e c)) 1)))
(*.f64 c (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 e c))))
(* -1 (* c (- (* -1 (/ e c)) 1)))
(*.f64 c (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 e c))))
(* -1 (* c (- (* -1 (/ e c)) 1)))
(*.f64 c (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 e c))))
(+ a b)
(+.f64 a b)
(+ a (+ b d))
(+.f64 a (+.f64 b d))
(+ a (+ b d))
(+.f64 a (+.f64 b d))
(+ a (+ b d))
(+.f64 a (+.f64 b d))
d
(* d (+ 1 (+ (/ a d) (/ b d))))
(*.f64 d (+.f64 (/.f64 a d) (+.f64 #s(literal 1 binary64) (/.f64 b d))))
(* d (+ 1 (+ (/ a d) (/ b d))))
(*.f64 d (+.f64 (/.f64 a d) (+.f64 #s(literal 1 binary64) (/.f64 b d))))
(* d (+ 1 (+ (/ a d) (/ b d))))
(*.f64 d (+.f64 (/.f64 a d) (+.f64 #s(literal 1 binary64) (/.f64 b d))))
d
(* -1 (* d (- (* -1 (/ (+ a b) d)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) d)) (-.f64 #s(literal 0 binary64) d))
(* -1 (* d (- (* -1 (/ (+ a b) d)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) d)) (-.f64 #s(literal 0 binary64) d))
(* -1 (* d (- (* -1 (/ (+ a b) d)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) d)) (-.f64 #s(literal 0 binary64) d))
(+ a d)
(+.f64 a d)
(+ a (+ b d))
(+.f64 a (+.f64 b d))
(+ a (+ b d))
(+.f64 a (+.f64 b d))
(+ a (+ b d))
(+.f64 a (+.f64 b d))
b
(* b (+ 1 (+ (/ a b) (/ d b))))
(*.f64 b (+.f64 (/.f64 a b) (+.f64 #s(literal 1 binary64) (/.f64 d b))))
(* b (+ 1 (+ (/ a b) (/ d b))))
(*.f64 b (+.f64 (/.f64 a b) (+.f64 #s(literal 1 binary64) (/.f64 d b))))
(* b (+ 1 (+ (/ a b) (/ d b))))
(*.f64 b (+.f64 (/.f64 a b) (+.f64 #s(literal 1 binary64) (/.f64 d b))))
b
(* -1 (* b (- (* -1 (/ (+ a d) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a d) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* -1 (/ (+ a d) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a d) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* -1 (/ (+ a d) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 a d) b)) (-.f64 #s(literal 0 binary64) b))
(+ b d)
(+.f64 b d)
(+ a (+ b d))
(+.f64 a (+.f64 b d))
(+ a (+ b d))
(+.f64 a (+.f64 b d))
(+ a (+ b d))
(+.f64 a (+.f64 b d))
a
(* a (+ 1 (+ (/ b a) (/ d a))))
(*.f64 a (+.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 d a))))
(* a (+ 1 (+ (/ b a) (/ d a))))
(*.f64 a (+.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 d a))))
(* a (+ 1 (+ (/ b a) (/ d a))))
(*.f64 a (+.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 d a))))
a
(* -1 (* a (- (* -1 (/ (+ b d) a)) 1)))
(.f64 a (.f64 (+.f64 (/.f64 (+.f64 b d) a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (+ b d) a)) 1)))
(.f64 a (.f64 (+.f64 (/.f64 (+.f64 b d) a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (+ b d) a)) 1)))
(.f64 a (.f64 (+.f64 (/.f64 (+.f64 b d) a) #s(literal 1 binary64)) #s(literal 1 binary64)))
a
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
b
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))
b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
a
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) a))
(+ 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))))
(*.f64 d (+.f64 (/.f64 c d) (+.f64 #s(literal 1 binary64) (/.f64 e d))))
(* d (+ 1 (+ (/ c d) (/ e d))))
(*.f64 d (+.f64 (/.f64 c d) (+.f64 #s(literal 1 binary64) (/.f64 e d))))
(* d (+ 1 (+ (/ c d) (/ e d))))
(*.f64 d (+.f64 (/.f64 c d) (+.f64 #s(literal 1 binary64) (/.f64 e d))))
d
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 d (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c e) d))))
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 d (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c e) d))))
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 d (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c e) 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 (/.f64 d c) (+.f64 #s(literal 1 binary64) (/.f64 e c))))
(* c (+ 1 (+ (/ d c) (/ e c))))
(*.f64 c (+.f64 (/.f64 d c) (+.f64 #s(literal 1 binary64) (/.f64 e c))))
(* c (+ 1 (+ (/ d c) (/ e c))))
(*.f64 c (+.f64 (/.f64 d c) (+.f64 #s(literal 1 binary64) (/.f64 e c))))
c
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b
(* b (+ 1 (+ (/ d b) (/ e b))))
(*.f64 b (+.f64 (/.f64 d b) (+.f64 #s(literal 1 binary64) (/.f64 e b))))
(* b (+ 1 (+ (/ d b) (/ e b))))
(*.f64 b (+.f64 (/.f64 d b) (+.f64 #s(literal 1 binary64) (/.f64 e b))))
(* b (+ 1 (+ (/ d b) (/ e b))))
(*.f64 b (+.f64 (/.f64 d b) (+.f64 #s(literal 1 binary64) (/.f64 e b))))
b
(* -1 (* b (- (* -1 (/ (+ d e) b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 d e) b))))
(* -1 (* b (- (* -1 (/ (+ d e) b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 d e) b))))
(* -1 (* b (- (* -1 (/ (+ d e) b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 d e) 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))))
(*.f64 e (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 d e))))
(* e (+ 1 (+ (/ b e) (/ d e))))
(*.f64 e (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 d e))))
(* e (+ 1 (+ (/ b e) (/ d e))))
(*.f64 e (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 d e))))
e
(* -1 (* e (- (* -1 (/ (+ b d) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (- (* -1 (/ (+ b d) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (- (* -1 (/ (+ b d) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) e)) (-.f64 #s(literal 0 binary64) e))
(+ b (+ c d))
(+.f64 c (+.f64 b 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)))))
(*.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 d e)))))
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(*.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 d e)))))
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(*.f64 e (+.f64 (/.f64 c e) (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 d e)))))
e
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c (+.f64 b d)) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c (+.f64 b d)) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c (+.f64 b d)) e)) (-.f64 #s(literal 0 binary64) e))
(+ 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)))))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (+.f64 #s(literal 1 binary64) (/.f64 e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (+.f64 #s(literal 1 binary64) (/.f64 e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (+.f64 #s(literal 1 binary64) (/.f64 e c)))))
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (+.f64 d e)) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (+.f64 d e)) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (+.f64 d e)) c)) (-.f64 #s(literal 0 binary64) c))
(+ 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)))))
(*.f64 b (+.f64 (/.f64 c b) (+.f64 (/.f64 d b) (+.f64 #s(literal 1 binary64) (/.f64 e b)))))
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(*.f64 b (+.f64 (/.f64 c b) (+.f64 (/.f64 d b) (+.f64 #s(literal 1 binary64) (/.f64 e b)))))
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(*.f64 b (+.f64 (/.f64 c b) (+.f64 (/.f64 d b) (+.f64 #s(literal 1 binary64) (/.f64 e b)))))
b
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c (+.f64 d e)) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c (+.f64 d e)) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c (+.f64 d e)) b)) (-.f64 #s(literal 0 binary64) b))
(+ b (+ c e))
(+.f64 b (+.f64 c 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)))))
(*.f64 d (+.f64 (/.f64 c d) (+.f64 (/.f64 b d) (+.f64 #s(literal 1 binary64) (/.f64 e d)))))
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(*.f64 d (+.f64 (/.f64 c d) (+.f64 (/.f64 b d) (+.f64 #s(literal 1 binary64) (/.f64 e d)))))
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(*.f64 d (+.f64 (/.f64 c d) (+.f64 (/.f64 b d) (+.f64 #s(literal 1 binary64) (/.f64 e d)))))
d
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 d (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (+.f64 c e)) d))))
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 d (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (+.f64 c e)) d))))
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 d (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (+.f64 c e)) d))))
(+ b c)
(+.f64 b c)
(+ b (+ c e))
(+.f64 b (+.f64 c e))
(+ b (+ c e))
(+.f64 b (+.f64 c e))
(+ b (+ c e))
(+.f64 b (+.f64 c e))
e
(* e (+ 1 (+ (/ b e) (/ c e))))
(*.f64 e (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 c e))))
(* e (+ 1 (+ (/ b e) (/ c e))))
(*.f64 e (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 c e))))
(* e (+ 1 (+ (/ b e) (/ c e))))
(*.f64 e (+.f64 (/.f64 b e) (+.f64 #s(literal 1 binary64) (/.f64 c e))))
e
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) e)) (-.f64 #s(literal 0 binary64) e))
(+ b e)
(+.f64 b e)
(+ b (+ c e))
(+.f64 b (+.f64 c e))
(+ b (+ c e))
(+.f64 b (+.f64 c e))
(+ b (+ c e))
(+.f64 b (+.f64 c e))
c
(* c (+ 1 (+ (/ b c) (/ e c))))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 #s(literal 1 binary64) (/.f64 e c))))
(* c (+ 1 (+ (/ b c) (/ e c))))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 #s(literal 1 binary64) (/.f64 e c))))
(* c (+ 1 (+ (/ b c) (/ e c))))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 #s(literal 1 binary64) (/.f64 e c))))
c
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b e) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b e) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b e) c)) (-.f64 #s(literal 0 binary64) c))
(+ c e)
(+.f64 c e)
(+ b (+ c e))
(+.f64 b (+.f64 c e))
(+ b (+ c e))
(+.f64 b (+.f64 c e))
(+ b (+ c e))
(+.f64 b (+.f64 c e))
b
(* b (+ 1 (+ (/ c b) (/ e b))))
(*.f64 b (+.f64 (/.f64 c b) (+.f64 #s(literal 1 binary64) (/.f64 e b))))
(* b (+ 1 (+ (/ c b) (/ e b))))
(*.f64 b (+.f64 (/.f64 c b) (+.f64 #s(literal 1 binary64) (/.f64 e b))))
(* b (+ 1 (+ (/ c b) (/ e b))))
(*.f64 b (+.f64 (/.f64 c b) (+.f64 #s(literal 1 binary64) (/.f64 e b))))
b
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c e) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c e) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c e) b)) (-.f64 #s(literal 0 binary64) b))
b
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
c
(* c (+ 1 (/ b c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 b c)))
(* c (+ 1 (/ b c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 b c)))
(* c (+ 1 (/ b c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 b c)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(*.f64 c (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b c))))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(*.f64 c (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b c))))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(*.f64 c (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b c))))
c
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
b
(* b (+ 1 (/ c b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 c b)))
(* b (+ 1 (/ c b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 c b)))
(* b (+ 1 (/ c b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 c b)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 c b))))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 c b))))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 c b))))

eval139.0ms (1.6%)

Compiler: Compiled 24653 to 1735 computations (93% saved)

prune156.0ms (1.7%)

Pruning

23 alts after pruning (9 fresh and 14 done)

	Pruned	Kept	Total
New	1235	3	1238
Fresh	0	6	6
Picked	0	5	5
Done	0	9	9
Total	1235	23	1258

Accuracy

100.0%

Counts

1258 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.7%	(+.f64 (+.f64 (+.f64 d e) c) b)
	25.7%	(+.f64 (+.f64 (+.f64 d e) b) c)
	25.7%	(+.f64 (+.f64 (+.f64 d b) e) c)
	25.7%	(+.f64 (+.f64 e (+.f64 d c)) b)
✓	99.6%	(+.f64 (+.f64 e (+.f64 c b)) (+.f64 d a))
✓	25.7%	(+.f64 (+.f64 e (+.f64 c b)) d)
✓	99.6%	(+.f64 (+.f64 e d) (+.f64 (+.f64 c b) a))
✓	25.7%	(+.f64 (+.f64 e d) (+.f64 b c))
	23.2%	(+.f64 (+.f64 e d) c)
✓	99.6%	(+.f64 (+.f64 e c) (+.f64 d (+.f64 b a)))
✓	99.5%	(+.f64 (+.f64 d (+.f64 e (+.f64 c b))) a)
✓	99.7%	(+.f64 (+.f64 d (+.f64 c b)) (+.f64 e a))
	25.7%	(+.f64 (+.f64 d (+.f64 c b)) e)
✓	25.7%	(+.f64 (+.f64 d (+.f64 b e)) c)
	25.7%	(+.f64 (+.f64 c (+.f64 d b)) e)
	23.2%	(+.f64 (+.f64 c d) e)
	25.7%	(+.f64 (+.f64 b (+.f64 c d)) e)
✓	99.5%	(+.f64 e (+.f64 (+.f64 c d) (+.f64 b a)))
✓	21.1%	(+.f64 e d)
✓	25.7%	(+.f64 d (+.f64 (+.f64 b e) c))
✓	23.2%	(+.f64 d (+.f64 c e))
✓	25.7%	(+.f64 d (+.f64 b (+.f64 e c)))
✓	18.9%	e

Compiler

Compiled 491 to 253 computations (48.5% saved)

regimes88.0ms (1%)

Counts

30 → 1

Calls

Call 1

Inputs
e
(+.f64 e a)
(+.f64 e d)
(+.f64 d (+.f64 c e))
(+.f64 (+.f64 c d) e)
(+.f64 (+.f64 c e) a)
(+.f64 (+.f64 e d) c)
(+.f64 d (+.f64 b (+.f64 e c)))
(+.f64 d (+.f64 (+.f64 b e) c))
(+.f64 (+.f64 b (+.f64 c d)) e)
(+.f64 (+.f64 c (+.f64 d b)) e)
(+.f64 (+.f64 d (+.f64 b e)) c)
(+.f64 (+.f64 d (+.f64 c b)) e)
(+.f64 (+.f64 e d) (+.f64 b c))
(+.f64 (+.f64 e (+.f64 c b)) d)
(+.f64 (+.f64 e (+.f64 d c)) b)
(+.f64 (+.f64 (+.f64 d b) e) c)
(+.f64 (+.f64 (+.f64 d e) b) c)
(+.f64 (+.f64 (+.f64 d e) c) b)
(+.f64 e (+.f64 (+.f64 c d) (+.f64 b a)))
(+.f64 (+.f64 c (+.f64 e d)) (+.f64 b a))
(+.f64 (+.f64 c (+.f64 (+.f64 e d) b)) a)
(+.f64 (+.f64 d (+.f64 c b)) (+.f64 e a))
(+.f64 (+.f64 d (+.f64 e (+.f64 c b))) a)
(+.f64 (+.f64 e c) (+.f64 d (+.f64 b a)))
(+.f64 (+.f64 e d) (+.f64 (+.f64 c b) a))
(+.f64 (+.f64 e (+.f64 c b)) (+.f64 d a))
(+.f64 (+.f64 (+.f64 (+.f64 c e) d) b) a)
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
(+.f64 (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 d e) c) #s(literal 1 binary64)) c) b) a)

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

Calls

9 calls:

13.0ms	c
10.0ms	a
10.0ms	(+.f64 (+.f64 e d) c)
9.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
9.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)

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)

regimes49.0ms (0.6%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	e
7.0ms	(+.f64 (+.f64 e d) c)
7.0ms	(+.f64 e d)
7.0ms	a
7.0ms	b

Results

Accuracy	Segments	Branch
99.5%	1	`a`
99.5%	1	`b`
99.5%	1	`c`
99.5%	1	`d`
99.5%	1	`e`
99.5%	1	`(+.f64 (+.f64 e d) c)`
99.5%	1	`(+.f64 e d)`

Compiler

Compiled 48 to 38 computations (20.8% saved)

regimes44.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	(+.f64 e d)
7.0ms	d
6.0ms	a
6.0ms	(+.f64 (+.f64 e d) c)
6.0ms	b

Results

Accuracy	Segments	Branch
25.7%	1	`a`
25.7%	1	`b`
25.7%	1	`c`
25.7%	1	`d`
25.7%	1	`e`
25.7%	1	`(+.f64 (+.f64 e d) c)`
25.7%	1	`(+.f64 e d)`

Compiler

Compiled 48 to 38 computations (20.8% saved)

regimes33.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

14.0ms	(+.f64 (+.f64 e d) c)
3.0ms	e
3.0ms	b
3.0ms	d
3.0ms	(+.f64 e d)

Results

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

Compiler

Compiled 48 to 38 computations (20.8% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(+.f64 e d)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
21.1%	1	`b`
21.1%	1	`c`
21.1%	1	`a`
21.1%	1	`e`
21.1%	1	`(+.f64 e d)`
21.1%	1	`d`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes13.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
e
(+.f64 e a)

Outputs
(+.f64 e a)

Calls

5 calls:

6.0ms	c
2.0ms	b
2.0ms	e
2.0ms	d
2.0ms	a

Results

Accuracy	Segments	Branch
19.1%	1	`b`
19.1%	1	`c`
19.1%	1	`e`
19.1%	1	`d`
19.1%	1	`a`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
e

Outputs
e

Calls

5 calls:

1.0ms	b
1.0ms	c
1.0ms	d
1.0ms	a
1.0ms	e

Results

Accuracy	Segments	Branch
18.9%	1	`d`
18.9%	1	`e`
18.9%	1	`b`
18.9%	1	`c`
18.9%	1	`a`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	32	37

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.8s (19.8%)

Rules

5038×	`+-lowering-+.f64`
5038×	`+-lowering-+.f32`
4808×	`+-lowering-+.f64`
4808×	`+-lowering-+.f32`
4762×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	231	3698
1	750	3256
2	2462	3022
0	8588	3022
0	296	4280
1	957	3708
2	3171	3456
0	8444	3456
0	18	61
1	189	55
2	2495	55
0	9097	55
0	9	7
1	22	6
2	78	6
3	301	6
4	761	6
5	1216	6
0	1216	6
0	176	2900
1	573	2476
2	2040	2320
0	8231	2320
0	12	37
1	115	33
2	1247	33
0	8948	33

Stop Event

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

Compiler

Compiled 252 to 157 computations (37.7% saved)

preprocess68.0ms (0.8%)

Remove: (sort a b c d e)
Compiler: Compiled 252 to 144 computations (42.9% saved)

analyze0.0ms (0%)

sample1.9s (21.1%)

preprocess78.0ms (0.9%)

explain87.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.3%)

localize42.0ms (0.5%)

series8.0ms (0.1%)

rewrite371.0ms (4.1%)

simplify264.0ms (2.9%)

eval377.0ms (4.2%)

prune90.0ms (1%)

simplify24.0ms (0.3%)

localize71.0ms (0.8%)

series11.0ms (0.1%)

rewrite409.0ms (4.6%)

simplify375.0ms (4.2%)

eval184.0ms (2.1%)

prune136.0ms (1.5%)

simplify30.0ms (0.3%)

localize93.0ms (1%)

series8.0ms (0.1%)

rewrite395.0ms (4.4%)

simplify333.0ms (3.7%)

eval164.0ms (1.8%)

prune156.0ms (1.7%)

simplify31.0ms (0.3%)

localize73.0ms (0.8%)

series8.0ms (0.1%)

rewrite498.0ms (5.6%)

simplify332.0ms (3.7%)

eval139.0ms (1.6%)

prune156.0ms (1.7%)

regimes88.0ms (1%)

regimes49.0ms (0.6%)

regimes44.0ms (0.5%)

regimes33.0ms (0.4%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.8s (19.8%)

preprocess68.0ms (0.8%)

end0.0ms (0%)

Profiling