Metrics for Expression, p6

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 41 to 33 computations (19.5% saved)

sample1.6s (26.1%)

Memory

28.9MiB live, 2 284.8MiB allocated

Samples

901.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 642.0ms

ival-<=: 253.0ms (39.4% of total)

ival-add: 225.0ms (35% of total)

ival-mult: 90.0ms (14% of total)

ival-and: 39.0ms (6.1% of total)

exact: 32.0ms (5% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess248.0ms (4.1%)

Memory

21.7MiB live, 60.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	132
1	150	126
2	449	126
3	2011	126
4	5325	126
5	6447	126
6	6863	126
7	7028	126
8	7070	126
9	7075	126
10	7130	126
11	7138	126
12	7138	126
13	7138	126
14	7530	126
15	7530	126
16	7530	126
0	9	9
0	13	9
1	21	9
2	57	9
3	159	9
4	286	9
5	287	9
0	287	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a b c d)

explain96.0ms (1.6%)

Memory

-21.3MiB live, 216.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
89	16	(-13.055385071407308 -2.833516924357553 3.4230927673515565 12.584656694275411)	50	(-13.718675022410864 -2.314059749671923 3.3278109582762996 13.13408074659763)	`(+.f64 a (+.f64 b (+.f64 c d)))`
0	0	-	0	-	`a`
0	0	-	0	-	`d`
0	0	-	0	-	`(+.f64 c d)`
0	0	-	0	-	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
0	0	-	0	-	`(+.f64 b (+.f64 c d))`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 a (+.f64 b (+.f64 c d)))`	cancellation	55	86

Confusion

	Predicted +	Predicted -
+	45	85
-	10	116

Precision

0.8181818181818182

Recall

0.34615384615384615

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	45	61	24
-	10	25	91

Precision?

0.75177304964539

Recall?

0.8153846153846154

Freqs

test

number	freq
0	201
1	55

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions

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

ival-add: 7.0ms (65.2% of total)

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify10.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

200×	`lower-fma.f64`
200×	`lower-fma.f32`
200×	`lower-+.f32`
194×	`lower-+.f64`
104×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	13	29
1	21	29
2	57	29
3	159	29
4	286	29
5	287	29
0	287	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.4%)

Memory

2.4MiB live, 43.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

16.0ms

256×

valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

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

ival-add: 6.0ms (77.1% of total)

ival-mult: 2.0ms (25.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-23.6MiB live, 14.6MiB allocated

Counts

4 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(* (+ a (+ b (+ c d))) 2)
0.0ms	b	@	-inf	(* (+ a (+ b (+ c d))) 2)
0.0ms	d	@	inf	(+ a (+ b (+ c d)))
0.0ms	a	@	inf	(* (+ a (+ b (+ c d))) 2)
0.0ms	c	@	inf	(* (+ a (+ b (+ c d))) 2)

simplify527.0ms (8.7%)

Memory

-20.9MiB live, 293.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 904×	`lower-fma.f64`
6 904×	`lower-fma.f32`
3 448×	`lower-*.f64`
3 448×	`lower-*.f32`
2 444×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 136

Calls

Call 1

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

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

rewrite295.0ms (4.9%)

Memory

30.2MiB live, 491.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 242×	`lower-fma.f64`
6 242×	`lower-fma.f32`
4 710×	`lower-*.f32`
4 708×	`lower-*.f64`
3 658×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	13	24
1	58	24
2	569	24
0	8247	24

Stop Event

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

Counts

4 → 373

Calls

Call 1

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

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

eval65.0ms (1.1%)

Memory: 2.2MiB live, 113.3MiB allocated
Compiler: Compiled 13 299 to 1 451 computations (89.1% saved)

prune81.0ms (1.3%)

Memory

-18.6MiB live, 143.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	504	5	509
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	505	5	510

Accuracy

100.0%

Counts

510 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
▶	11.8%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
▶	11.8%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 c (+.f64 d a))) #s(literal 2 binary64))
▶	11.7%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
▶	6.1%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))

Compiler

Compiled 106 to 74 computations (30.2% saved)

simplify11.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
208×	`lower-+.f32`
194×	`lower-+.f64`
114×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
0	37	143
1	60	143
2	132	143
3	250	143
4	273	143
0	273	143

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (0.9%)

Memory

-24.5MiB live, 93.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	100.0%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
✓	accuracy	95.7%	(+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d)))
✓	accuracy	21.5%	#s(approx (+ b (+ c d)) (+.f64 c d))
✓	accuracy	100.0%	(+.f64 d a)
✓	accuracy	100.0%	(+.f64 c (+.f64 d a))
✓	accuracy	100.0%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 c (+.f64 d a))) #s(literal 2 binary64))
✓	accuracy	11.8%	#s(approx (+ a (+ b (+ c d))) (+.f64 c (+.f64 d a)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) c)
✓	accuracy	11.7%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) b)
✓	accuracy	6.1%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
✓	accuracy	100.0%	(+.f64 (+.f64 b c) (+.f64 a d))
✓	accuracy	100.0%	(+.f64 b c)
✓	accuracy	100.0%	(+.f64 a d)
✓	accuracy	100.0%	(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))

Samples

35.0ms

256×

valid

Compiler

Compiled 113 to 19 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 8.0ms (51.4% of total)

ival-mult: 7.0ms (45% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

16 → 576

Calls

Call 1

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

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

Calls

144 calls:

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

simplify333.0ms (5.5%)

Memory

-10.8MiB live, 419.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 356×	`lower-fma.f64`
9 356×	`lower-fma.f32`
3 804×	`lower-*.f64`
3 804×	`lower-*.f32`
1 512×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	3368
1	589	3368
2	1640	3356
3	5045	3350
0	8238	3350

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 516

Calls

Call 1

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

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

rewrite556.0ms (9.2%)

Memory

27.2MiB live, 631.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 060×	`lower-*.f32`
6 050×	`lower-*.f64`
4 698×	`lower-/.f64`
4 698×	`lower-/.f32`
4 292×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	126
0	37	126
1	158	126
2	1547	126
0	9627	126

Stop Event

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

Counts

16 → 596

Calls

Call 1

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

Outputs
(+.f64 (.f64 b #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(+.f64 (.f64 b #s(literal 2 binary64)) (.f64 (+.f64 c (+.f64 a d)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) (.f64 #s(literal 2 binary64) (+.f64 a d)))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) (.f64 #s(literal 2 binary64) (+.f64 b c)))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) (.f64 #s(literal 2 binary64) d))
(+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c d))))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c d))) (.f64 #s(literal 2 binary64) a))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 b a)) (.f64 #s(literal 2 binary64) (+.f64 c d)))
(+.f64 (.f64 (+.f64 b c) #s(literal 2 binary64)) (.f64 (+.f64 a d) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 a d) #s(literal 2 binary64)) (.f64 (+.f64 b c) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))
(+.f64 (.f64 a #s(literal 2 binary64)) (.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 b a) #s(literal 2 binary64)) (.f64 (+.f64 c d) #s(literal 2 binary64)))
(fma.f64 b #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(fma.f64 b #s(literal 2 binary64) (*.f64 (+.f64 c (+.f64 a d)) #s(literal 2 binary64)))
(fma.f64 (+.f64 b c) #s(literal 2 binary64) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(fma.f64 a #s(literal 2 binary64) (*.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)))
(fma.f64 (+.f64 a d) #s(literal 2 binary64) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(fma.f64 #s(literal 2 binary64) b (*.f64 (+.f64 c (+.f64 a d)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 b c) (*.f64 #s(literal 2 binary64) (+.f64 a d)))
(fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c d))))
(fma.f64 #s(literal 2 binary64) (+.f64 a d) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c d)) (*.f64 #s(literal 2 binary64) a))
(fma.f64 #s(literal 2 binary64) (+.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 c d)))
(fma.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a)) (*.f64 #s(literal 2 binary64) d))
(fma.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (+.f64 b a) #s(literal 2 binary64) (*.f64 (+.f64 c d) #s(literal 2 binary64)))
(fma.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c))))) (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 a (+.f64 b (+.f64 c d))) (+.f64 b (-.f64 c (+.f64 a d))))) (+.f64 b (-.f64 c (+.f64 a d))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a a) (.f64 (+.f64 b (+.f64 c d)) (.f64 (+.f64 b (+.f64 c d)) (+.f64 b (+.f64 c d)))))) (fma.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a) (*.f64 a a)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 a (+.f64 b (+.f64 c d))) (-.f64 a (+.f64 b (+.f64 c d))))) (-.f64 a (+.f64 b (+.f64 c d))))
(/.f64 (.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)))) #s(literal 2 binary64)) (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c))))
(/.f64 (.f64 (.f64 (+.f64 a (+.f64 b (+.f64 c d))) (+.f64 b (-.f64 c (+.f64 a d)))) #s(literal 2 binary64)) (+.f64 b (-.f64 c (+.f64 a d))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 (+.f64 b (+.f64 c d)) (.f64 (+.f64 b (+.f64 c d)) (+.f64 b (+.f64 c d))))) #s(literal 2 binary64)) (fma.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a) (*.f64 a a)))
(/.f64 (.f64 (.f64 (+.f64 a (+.f64 b (+.f64 c d))) (-.f64 a (+.f64 b (+.f64 c d)))) #s(literal 2 binary64)) (-.f64 a (+.f64 b (+.f64 c d))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)))))) (neg.f64 (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 a (+.f64 b (+.f64 c d))) (+.f64 b (-.f64 c (+.f64 a d)))))) (neg.f64 (+.f64 b (-.f64 c (+.f64 a d)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a a) (.f64 (+.f64 b (+.f64 c d)) (.f64 (+.f64 b (+.f64 c d)) (+.f64 b (+.f64 c d))))))) (neg.f64 (fma.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a) (*.f64 a a))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 a (+.f64 b (+.f64 c d))) (-.f64 a (+.f64 b (+.f64 c d)))))) (neg.f64 (-.f64 a (+.f64 b (+.f64 c d)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 a d) (.f64 (+.f64 a d) (+.f64 a d)) (.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 a (+.f64 b (+.f64 c d))) (+.f64 b (-.f64 c (+.f64 a d)))) #s(literal 2 binary64))) (neg.f64 (+.f64 b (-.f64 c (+.f64 a d)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 (+.f64 b (+.f64 c d)) (.f64 (+.f64 b (+.f64 c d)) (+.f64 b (+.f64 c d))))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a) (*.f64 a a))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 a (+.f64 b (+.f64 c d))) (-.f64 a (+.f64 b (+.f64 c d)))) #s(literal 2 binary64))) (neg.f64 (-.f64 a (+.f64 b (+.f64 c d)))))
(/.f64 (+.f64 (pow.f64 (.f64 b #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))) #s(literal 3 binary64))) (fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))) (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d)))) (.f64 (.f64 b #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d)))))))
(/.f64 (+.f64 (pow.f64 (.f64 b #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 c (+.f64 a d)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 c (+.f64 a d)) #s(literal 2 binary64)) (.f64 (+.f64 c (+.f64 a d)) #s(literal 2 binary64))) (.f64 (.f64 b #s(literal 2 binary64)) (.f64 (+.f64 c (+.f64 a d)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) (.f64 #s(literal 2 binary64) (+.f64 b c)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) (.f64 #s(literal 2 binary64) (+.f64 a d))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) (.f64 #s(literal 2 binary64) (+.f64 a d))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) (.f64 #s(literal 2 binary64) (+.f64 a d)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 b c)) (.f64 #s(literal 2 binary64) (+.f64 b c))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a d)) (.f64 #s(literal 2 binary64) (+.f64 b c))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) d) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) (.f64 #s(literal 2 binary64) d)))))
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eval272.0ms (4.5%)

Memory: -9.0MiB live, 301.1MiB allocated
Compiler: Compiled 26 273 to 2 320 computations (91.2% saved)

prune133.0ms (2.2%)

Memory

8.6MiB live, 245.9MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 110	2	1 112
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	1 110	7	1 117

Accuracy

100.0%

Counts

1 117 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
✓	11.8%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
▶	11.8%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
✓	11.8%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 c (+.f64 d a))) #s(literal 2 binary64))
▶	8.4%	(*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ c (+ d a)) (+.f64 a d))) #s(literal 2 binary64))
✓	11.7%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
✓	6.1%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))

Compiler

Compiled 76 to 52 computations (31.6% saved)

simplify6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

100×	`lower-+.f32`
94×	`lower-+.f64`
44×	`associate-+r+`
36×	`associate-+l+`
30×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	91
0	23	91
1	38	91
2	59	91
3	86	91
4	88	91
0	88	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (1.5%)

Memory

-58.6MiB live, 59.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 c a)
✓	accuracy	100.0%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
✓	accuracy	98.6%	(+.f64 (+.f64 c a) d)
✓	accuracy	11.8%	#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d))
✓	accuracy	100.0%	(+.f64 a d)
✓	accuracy	100.0%	(*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ c (+ d a)) (+.f64 a d))) #s(literal 2 binary64))
✓	accuracy	11.8%	#s(approx (+ a (+ b (+ c d))) #s(approx (+ c (+ d a)) (+.f64 a d)))
✓	accuracy	3.1%	#s(approx (+ c (+ d a)) (+.f64 a d))

Samples

76.0ms

256×

valid

Compiler

Compiled 57 to 16 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-add: 37.0ms (95.8% of total)

ival-mult: 2.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

8 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

simplify308.0ms (5.1%)

Memory

-11.3MiB live, 630.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 684×	`lower-fma.f64`
10 684×	`lower-fma.f32`
3 604×	`lower-*.f64`
3 604×	`lower-*.f32`
1 942×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	1984
1	478	1984
2	1340	1948
3	4176	1846
4	7439	1846
0	8214	1816

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 272

Calls

Call 1

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

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

rewrite477.0ms (7.9%)

Memory

-0.2MiB live, 471.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 900×	`lower-/.f64`
4 900×	`lower-/.f32`
4 212×	`lower-fma.f64`
4 212×	`lower-fma.f32`
3 780×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	23	84
1	120	84
2	1175	84
0	8498	84

Stop Event

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

Counts

8 → 168

Calls

Call 1

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

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

eval52.0ms (0.9%)

Memory: 26.0MiB live, 100.7MiB allocated
Compiler: Compiled 6 512 to 652 computations (90% saved)

prune78.0ms (1.3%)

Memory

-15.0MiB live, 73.3MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	440	0	440
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	440	7	447

Accuracy

100.0%

Counts

447 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
✓	11.8%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
✓	11.8%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
✓	11.8%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 c (+.f64 d a))) #s(literal 2 binary64))
✓	8.4%	(*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ c (+ d a)) (+.f64 a d))) #s(literal 2 binary64))
✓	11.7%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
✓	6.1%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))

Compiler

Compiled 137 to 76 computations (44.5% saved)

regimes31.0ms (0.5%)

Memory

-3.6MiB live, 71.5MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	a
4.0ms	(+.f64 b (+.f64 c d))
3.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms	(+.f64 c d)
3.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

Results

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

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes30.0ms (0.5%)

Memory

-7.7MiB live, 73.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	a
4.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms	c
3.0ms	(+.f64 c d)
3.0ms	d

Results

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

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes24.0ms (0.4%)

Memory

28.8MiB live, 65.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	a
3.0ms	(+.f64 b (+.f64 c d))
3.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
3.0ms	b

Results

Accuracy	Segments	Branch
11.8%	1	`c`
11.8%	1	`d`
13.8%	2	`(+.f64 c d)`
11.8%	1	`a`
14.1%	2	`b`
16.9%	2	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
16.9%	2	`(+.f64 a (+.f64 b (+.f64 c d)))`
14.7%	2	`(+.f64 b (+.f64 c d))`

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes5.0ms (0.1%)

Memory

-26.9MiB live, 12.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
16.2%	2	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
16.2%	2	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes11.0ms (0.2%)

Memory

-3.7MiB live, 35.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

2.0ms	d
1.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
1.0ms	b
1.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
1.0ms	(+.f64 b (+.f64 c d))

Results

Accuracy	Segments	Branch
6.1%	1	`a`
6.1%	1	`d`
6.1%	1	`c`
6.1%	1	`(+.f64 c d)`
6.1%	1	`b`
6.1%	1	`(+.f64 b (+.f64 c d))`
6.1%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
6.1%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 60 to 43 computations (28.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.013167130433856755	0.020812560343571818

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.013167130433856755	0.020812560343571818

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.013167130433856755	0.020812560343571818

Compiler

Compiled 16 to 16 computations (0% saved)

simplify6.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	153
1	48	153

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ c (+ d a)) (+.f64 a d))) #s(literal 2 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 c (+.f64 d a))) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ c (+ d a)) (+.f64 a d))) #s(literal 2 binary64)) #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 #s(literal 2 binary64) b)) #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))

Outputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b (+.f64 c d))))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ c (+ d a)) (+.f64 a d))) #s(literal 2 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 c (+.f64 d a))) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ a (+ b (+ c d))) #s(approx (+ c (+ d a)) (+.f64 a d)))) (.f64 #s(literal 2 binary64) #s(approx (+ a (+ b (+ c d))) (+.f64 c (+.f64 a d)))))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ c (+ d a)) (+.f64 a d))) #s(literal 2 binary64)) #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(literal 2 binary64) #s(approx (+ a (+ b (+ c d))) #s(approx (+ c (+ d a)) (+.f64 a d)))) #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 #s(literal 2 binary64) b)) #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

soundness515.0ms (8.5%)

Memory

-22.3MiB live, 461.8MiB allocated

Rules

9 356×	`lower-fma.f64`
9 356×	`lower-fma.f32`
6 904×	`lower-fma.f64`
6 904×	`lower-fma.f32`
6 242×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	3368
1	589	3368
2	1640	3356
3	5045	3350
0	8238	3350
0	137	890
1	436	890
2	1261	890
3	4083	878
0	8128	875
0	9	24
0	13	24
1	58	24
2	569	24
0	8247	24

Stop Event

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

Compiler

Compiled 181 to 92 computations (49.2% saved)

preprocess102.0ms (1.7%)

Memory: 10.5MiB live, 89.3MiB allocated
Remove: (sort a b c d)
Compiler: Compiled 314 to 138 computations (56.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.6s (26.1%)

preprocess248.0ms (4.1%)

explain96.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.2%)

localize24.0ms (0.4%)

series10.0ms (0.2%)

simplify527.0ms (8.7%)

rewrite295.0ms (4.9%)

eval65.0ms (1.1%)

prune81.0ms (1.3%)

simplify11.0ms (0.2%)

localize57.0ms (0.9%)

series11.0ms (0.2%)

simplify333.0ms (5.5%)

rewrite556.0ms (9.2%)

eval272.0ms (4.5%)

prune133.0ms (2.2%)

simplify6.0ms (0.1%)

localize91.0ms (1.5%)

series5.0ms (0.1%)

simplify308.0ms (5.1%)

rewrite477.0ms (7.9%)

eval52.0ms (0.9%)

prune78.0ms (1.3%)

regimes31.0ms (0.5%)

regimes30.0ms (0.5%)

regimes24.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes11.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness515.0ms (8.5%)

preprocess102.0ms (1.7%)

end0.0ms (0%)

Profiling