Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze26.0ms (0.3%)

Memory

-2.8MiB live, 35.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
75%	74.9%	25%	0.2%	0%	0%	0%	5
75%	74.9%	25%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	8
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	9
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	10
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	11
96.9%	96.7%	3.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample971.0ms (10.6%)

Memory

41.6MiB live, 1 374.2MiB allocated

Samples

646.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 413.0ms

ival-mult: 275.0ms (66.5% of total)

ival-add: 82.0ms (19.8% of total)

ival-div: 48.0ms (11.6% of total)

ival-true: 6.0ms (1.5% of total)

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

Bogosity

explain150.0ms (1.6%)

Memory

17.5MiB live, 212.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
103	0	-	18	(1.7265790638591674e+267 -1.7243432186193594e+142 -1.7345027559593083e-40 2.5135455036332396e+158)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
4	3	(-9.317432230905949e+169 -3.921647494953748e+145 4.3169341463219896e+181 2.9524836081628355e+250)	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	14	(7.291596146239764e+140 5.648323476625514e-161 -6.18259622216906e+203 -1.8916283718732298e+274)	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	0	-	0	-	`a`
0	0	-	0	-	`d`
0	0	-	0	-	`(*.f64 d d)`
0	0	-	0	-	`(*.f64 c c)`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`c`
0	0	-	0	-	`b`
0	0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	51	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	64
↳	`(*.f64 a c)`	overflow	36
↳	`(*.f64 b d)`	overflow	35
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	112
↳	`(*.f64 c c)`	overflow	57
↳	`(*.f64 d d)`	overflow	69
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	19	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	112
↳	`(*.f64 c c)`	overflow	57
↳	`(*.f64 d d)`	overflow	69
`+.f64`	`(+.f64 (.f64 c c) (.f64 d d))`	nan-rescue	14	0
↳	`(*.f64 c c)`	overflow	57
↳	`(*.f64 d d)`	overflow	69
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	8	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	64
↳	`(*.f64 a c)`	overflow	36
↳	`(*.f64 b d)`	overflow	35
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	7	0
↳	`(*.f64 a c)`	overflow	36
↳	`(*.f64 b d)`	overflow	35
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	4	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	12
↳	`(*.f64 c c)`	underflow	56
↳	`(*.f64 d d)`	underflow	56
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	3	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	3
↳	`(*.f64 a c)`	underflow	28
↳	`(*.f64 b d)`	underflow	24
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	12
↳	`(*.f64 c c)`	underflow	56
↳	`(*.f64 d d)`	underflow	56

Confusion

	Predicted +	Predicted -
+	85	18
-	2	151

Precision

0.9770114942528736

Recall

0.8252427184466019

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	85	0	18
-	2	0	151

Precision?

0.9770114942528736

Recall?

0.8252427184466019

Freqs

test

number	freq
0	169
1	72
2	11
3	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 162 to 48 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (62.9% of total)

ival-add: 4.0ms (19.4% of total)

ival-div: 3.0ms (14.5% of total)

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

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

preprocess325.0ms (3.5%)

Memory

-4.5MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 210×	`times-frac`
1 210×	`div-sub`
1 068×	`distribute-rgt-in`
1 028×	`distribute-lft-in`
988×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	218
1	132	210
2	209	210
3	377	210
4	914	210
5	2299	210
6	3076	210
7	3886	210
8	4759	210
9	5156	210
10	5284	210
11	5444	210
12	5444	210
13	5480	210
14	5496	210
15	5496	210
16	5856	210
17	6830	210
18	6982	210
19	6994	210
20	6998	210
21	7006	210
22	7014	210
23	7014	210
24	7122	210
25	7170	210
26	7170	210
0	11	15
0	18	15
1	22	15
0	22	13

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.8%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify4.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a c)
cost-diff	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
cost-diff	128	(+.f64 (.f64 c c) (.f64 d d))
cost-diff	128	(+.f64 (.f64 a c) (.f64 b d))

Rules

12×	`lower-fma.f64`
12×	`lower-fma.f32`
12×	`lower-*.f32`
8×	`lift-*.f64`
8×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	18	45
1	22	45
0	22	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)

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

localize28.0ms (0.3%)

Memory

-0.3MiB live, 35.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b d)
accuracy	0	(*.f64 a c)
accuracy	0.9062458716604117	(+.f64 (.f64 a c) (.f64 b d))
accuracy	24.233855427936053	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

21.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 7.0ms (67.2% of total)

ival-add: 2.0ms (19.2% of total)

ival-div: 1.0ms (9.6% of total)

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

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

series32.0ms (0.4%)

Memory

-10.5MiB live, 35.4MiB allocated

Counts

5 → 168

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())
#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())
#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())

Outputs
#s(alt (* b d) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
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#s(alt (/ b d) (taylor inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (/ (* a c) d)) d) (taylor inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) (taylor inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	b	@	-inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
7.0ms	b	@	inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
2.0ms	d	@	-inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
1.0ms	c	@	inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
1.0ms	c	@	0	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))

simplify119.0ms (1.3%)

Memory

23.9MiB live, 136.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 644×	`lower-fma.f64`
7 644×	`lower-fma.f32`
4 318×	`lower-*.f64`
4 318×	`lower-*.f32`
1 834×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1428
1	618	1418
2	1890	1394
3	5760	1392
0	8315	1262

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* b d)
(* b d)
(* b d)
(* b d)

Outputs
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* c (+ a (/ (* b d) c)))
(fma.f64 c a (*.f64 d b))
(* c (+ a (/ (* b d) c)))
(fma.f64 c a (*.f64 d b))
(* c (+ a (/ (* b d) c)))
(fma.f64 c a (*.f64 d b))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (.f64 d d) a (/.f64 (.f64 (.f64 (.f64 d d) d) b) c)) c)) c)) c)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 c a (*.f64 d b))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (.f64 d d) a (/.f64 (.f64 (.f64 (.f64 d d) d) b) c)) c)) c)) c)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b (+ d (/ (* a c) b)))
(fma.f64 c a (*.f64 d b))
(* b (+ d (/ (* a c) b)))
(fma.f64 c a (*.f64 d b))
(* b (+ d (/ (* a c) b)))
(fma.f64 c a (*.f64 d b))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 c a (*.f64 d b))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a (+ c (/ (* b d) a)))
(fma.f64 c a (*.f64 d b))
(* a (+ c (/ (* b d) a)))
(fma.f64 c a (*.f64 d b))
(* a (+ c (/ (* b d) a)))
(fma.f64 c a (*.f64 d b))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c)
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 c a (*.f64 d b))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c)
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c (.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (/.f64 d (.f64 (.f64 c c) c)) (neg.f64 a) (/.f64 b (*.f64 c c))) d (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (.f64 (.f64 c c) c)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c))
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* d (+ b (/ (* a c) d)))
(fma.f64 c a (*.f64 d b))
(* d (+ b (/ (* a c) d)))
(fma.f64 c a (*.f64 d b))
(* d (+ b (/ (* a c) d)))
(fma.f64 c a (*.f64 d b))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (.f64 (.f64 c b) c) d)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (fma.f64 (.f64 c b) c (/.f64 (.f64 (.f64 (.f64 c c) c) a) d)) d)) d)) d)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 c a (*.f64 d b))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (.f64 (.f64 c b) c) d)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (fma.f64 (.f64 c b) c (/.f64 (.f64 (.f64 (.f64 c c) c) a) d)) d)) d)) d)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)

rewrite194.0ms (2.1%)

Memory

-58.7MiB live, 211.2MiB allocated

Rules

5 970×	`lower-fma.f64`
5 970×	`lower-fma.f32`
5 332×	`lower-*.f32`
5 324×	`lower-*.f64`
2 426×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	18	35
1	58	35
2	435	35
3	5073	35
0	8760	31

Stop Event

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

Counts

5 → 346

Calls

Call 1

Inputs
(+.f64 (.f64 a c) (.f64 b d))
(+.f64 (.f64 c c) (.f64 d d))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(*.f64 a c)
(*.f64 b d)

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d b (.f64 c a))) (-.f64 (.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a)) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d)))) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (.f64 d b) (fma.f64 d b (*.f64 c a)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d))) (.f64 (fma.f64 (.f64 (.f64 a a) c) c (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b))) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (.f64 (neg.f64 d) b) (-.f64 (.f64 d b) (.f64 c a)))))) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (.f64 (neg.f64 d) b) (-.f64 (.f64 d b) (*.f64 c a)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d))) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a))) (.f64 c a) (.f64 (.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b))) (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 (.f64 c c) a)) a (.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) (-.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) (.f64 (.f64 (.f64 a a) c) c)))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d b (.f64 c a))) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d b (.f64 c a)))) (fma.f64 d b (.f64 c a)))
(.f64 (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 d b) (.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 d b) (*.f64 c a))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (.f64 c a))) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d b (*.f64 c a))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)))) (fma.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d))))
(.f64 (.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 a a) c) c (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b))))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (.f64 c a))))
(.f64 (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d b (.f64 c a))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d b (.f64 c a))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a)))
(.f64 (fma.f64 (.f64 (.f64 a a) c) c (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b))) (.f64 (fma.f64 d b (.f64 c a)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (-.f64 (.f64 d b) (.f64 c a)) (*.f64 d b))))))
(.f64 (fma.f64 (.f64 (.f64 a a) c) c (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b))) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)))))
(.f64 (fma.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (-.f64 (.f64 d b) (.f64 c a)) (*.f64 d b)))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)))))
(.f64 (fma.f64 d b (.f64 c a)) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(.f64 (fma.f64 d b (.f64 c a)) (/.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 (neg.f64 d) b (.f64 c a))))
(.f64 (fma.f64 d b (.f64 c a)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 d b) (.f64 c a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) #s(literal -1 binary64))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) c) c (.f64 (.f64 (.f64 d d) b) b)) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d b (.f64 c a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (.f64 c a)))) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (.f64 (.f64 d d) b) b)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d))) (-.f64 (.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a)) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (.f64 c a)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 (.f64 c c) a)) a (.f64 (.f64 (.f64 (.f64 d d) b) b) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (.f64 (*.f64 d d) b) b)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d))) (-.f64 (.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a)) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b))))) (-.f64 (.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a)) (.f64 (.f64 (.f64 d d) b) (.f64 (*.f64 b b) d))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a))) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a))) (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d))) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) c) c (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b))))) (fma.f64 (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d)) (-.f64 (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 b b) d)) (.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a))) (.f64 (.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a)) (.f64 (.f64 (.f64 a a) c) (.f64 (.f64 c c) a)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (fma.f64 (neg.f64 d) b (.f64 c a)))) (.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (fma.f64 (neg.f64 d) b (.f64 c a))))) (fma.f64 (.f64 (.f64 a a) c) (/.f64 c (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (fma.f64 (neg.f64 d) b (.f64 c a)))) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (fma.f64 (neg.f64 d) b (.f64 c a)))) (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (fma.f64 (neg.f64 d) b (.f64 c a)))) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (fma.f64 (neg.f64 d) b (.f64 c a))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (fma.f64 (neg.f64 d) b (.f64 c a))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (fma.f64 (neg.f64 d) b (.f64 c a))) (.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 d b) (.f64 c a)))) (neg.f64 (-.f64 (.f64 d b) (.f64 c a))))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d d (.f64 c c)))) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d d (.f64 c c)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (.f64 c c)))) (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (fma.f64 (neg.f64 d) b (.f64 c a))) (fma.f64 d d (.f64 c c))) (/.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (fma.f64 (neg.f64 d) b (.f64 c a))) (fma.f64 d d (.f64 c c))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (fma.f64 d d (.f64 c c))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 c c) (/.f64 (fma.f64 d b (.f64 c a)) (.f64 (.f64 (fma.f64 d d (.f64 c c)) (+.f64 d c)) (-.f64 c d)))) (.f64 (.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (.f64 c a)) (.f64 (.f64 (fma.f64 d d (.f64 c c)) (+.f64 d c)) (-.f64 c d)))))
(+.f64 (.f64 (.f64 (.f64 (+.f64 d c) (-.f64 d c)) (.f64 d d)) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c))))) (.f64 (.f64 (.f64 (.f64 c c) c) c) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c))))))
(+.f64 (.f64 (.f64 (.f64 (.f64 c c) c) c) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c))))) (.f64 (.f64 (.f64 (+.f64 d c) (-.f64 d c)) (.f64 d d)) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c))))))
(+.f64 (.f64 (.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c)))) (.f64 (.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c)))))
(+.f64 (.f64 (.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c)))) (.f64 (.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c)))))
(+.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (.f64 (.f64 (fma.f64 d d (.f64 c c)) (+.f64 d c)) (-.f64 c d))) (.f64 c c)) (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (.f64 (.f64 (fma.f64 d d (.f64 c c)) (+.f64 d c)) (-.f64 c d))) (.f64 (neg.f64 d) d)))
(+.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c)))) (.f64 (.f64 (+.f64 d c) (-.f64 d c)) (.f64 d d))) (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c)))) (.f64 (.f64 (.f64 c c) c) c)))
(+.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c)))) (.f64 (.f64 (.f64 c c) c) c)) (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c)))) (.f64 (.f64 (+.f64 d c) (-.f64 d c)) (.f64 d d))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (.f64 d b)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (.f64 c a)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (.f64 c a)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (.f64 d b)))
(*.f64 (exp.f64 (log.f64 a)) c)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 c a)
(*.f64 a c)
(pow.f64 (*.f64 c a) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 c a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 c a)))
(*.f64 (exp.f64 (log.f64 b)) d)
(*.f64 d (exp.f64 (log.f64 b)))
(*.f64 d b)
(*.f64 b d)
(pow.f64 (*.f64 d b) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 d b)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 d b)))

eval53.0ms (0.6%)

Memory: 26.2MiB live, 98.0MiB allocated
Compiler: Compiled 17 875 to 1 049 computations (94.1% saved)

prune84.0ms (0.9%)

Memory

-10.2MiB live, 150.1MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	499	15	514
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	500	15	515

Accuracy

100.0%

Counts

515 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.1%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
▶	37.7%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	38.5%	(/.f64 (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d b (.f64 c a))) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d d (.f64 c c))))
▶	61.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))))
▶	61.3%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c)))))
	41.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)))
	51.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
	53.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	52.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	43.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (.f64 (.f64 c b) c) d)) d)) d))
	49.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c))
	41.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	43.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	35.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
	43.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c))

Compiler

Compiled 524 to 280 computations (46.6% saved)

simplify135.0ms (1.5%)

Memory

6.5MiB live, 52.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 d b (*.f64 c a))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c))))
cost-diff	832	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c)))))
cost-diff	0	(*.f64 b d)
cost-diff	0	(*.f64 a c)
cost-diff	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff	128	(+.f64 (.f64 a c) (.f64 b d))
cost-diff	0	(fma.f64 c c (*.f64 d d))
cost-diff	0	(/.f64 b (fma.f64 c c (*.f64 d d)))
cost-diff	0	(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
cost-diff	0	(/.f64 a c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
cost-diff	0	(*.f64 c c)
cost-diff	0	(fma.f64 d d (*.f64 c c))
cost-diff	0	(/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))))

Rules

1 584×	`lower-fma.f32`
1 578×	`lower-fma.f64`
1 202×	`times-frac`
1 120×	`lower-*.f32`
1 106×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	250
0	54	243
1	82	241
2	162	237
3	474	237
4	1044	237
5	2005	237
6	3031	237
7	3744	237
8	4357	237
9	4895	237
10	5024	237
11	5174	237
12	5474	237
13	5506	237
14	5506	237
15	5506	237
0	5506	237

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize314.0ms (3.4%)

Memory

0.4MiB live, 115.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.2539034976055602	(fma.f64 d b (*.f64 c a))
accuracy	0.5462727274154211	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c)))))
accuracy	1.2518129215419802	(/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))
accuracy	23.378509778919693	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c))))
accuracy	0	(*.f64 a c)
accuracy	0.9062458716604117	(+.f64 (.f64 a c) (.f64 b d))
accuracy	24.233855427936053	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy	26.296914629273882	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	0	(*.f64 d d)
accuracy	8.993287927325738	(/.f64 b (fma.f64 c c (*.f64 d d)))
accuracy	9.583175658178257	(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
accuracy	28.975582658668873	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
accuracy	0	(/.f64 a c)
accuracy	35.8854229809886	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0	(*.f64 c a)
accuracy	0.2539034976055602	(fma.f64 d b (*.f64 c a))
accuracy	0.5462727274154211	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))))
accuracy	24.00357414039414	(/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))

Samples

51.0ms

256×

valid

Compiler

Compiled 250 to 28 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 12.0ms (40.2% of total)

ival-mult: 12.0ms (40.2% of total)

ival-add: 4.0ms (13.4% of total)

ival-neg: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series154.0ms (1.7%)

Memory

-13.9MiB live, 113.8MiB allocated

Counts

21 → 744

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) (patch (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())
#s(alt (fma.f64 d d (.f64 c c)) (patch (fma.f64 d d (.f64 c c)) #<representation binary64>) () ())
#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())
#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (patch (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #<representation binary64>) () ())
#s(alt (/.f64 b (fma.f64 c c (.f64 d d))) (patch (/.f64 b (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())
#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (.f64 c c))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())
#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())
#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())
#s(alt (.f64 c a) (patch (.f64 c a) #<representation binary64>) () ())
#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (.f64 c c)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())

Outputs
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (/ d b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) (patch (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) (patch (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) (patch (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) (patch (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 d d (.f64 c c)) (patch (fma.f64 d d (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (.f64 c c)) (patch (fma.f64 d d (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (.f64 c c)) (patch (fma.f64 d d (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (.f64 c c)) (patch (fma.f64 d d (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (patch (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) (taylor 0 c) (#s(alt (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (patch (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) (taylor 0 c) (#s(alt (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (patch (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) (taylor 0 c) (#s(alt (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (patch (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (/ b (pow d 2)) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (.f64 d d))) (patch (/.f64 b (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (.f64 d d))) (patch (/.f64 b (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (.f64 d d))) (patch (/.f64 b (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (.f64 d d))) (patch (/.f64 b (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (.f64 c c))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (.f64 c c))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (.f64 c c))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (.f64 c c))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ d b)) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ d b)) (/ (* a c) (pow b 2))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ d b)) (* c (+ (* -1 (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (/ a (pow b 2))))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ d b)) (* c (+ (* c (+ (* -1 (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d)))) (/ a (pow b 2))))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* b d)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 3))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 3)))))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor 0 c) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 c a) (patch (.f64 c a) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 c a) (patch (.f64 c a) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 c a) (patch (.f64 c a) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 c a) (patch (.f64 c a) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 c c)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 c c)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 c c)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 c c)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (/ c a) (taylor inf c) (#s(alt (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) (patch (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ d b)) (taylor -inf d) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))) (taylor -inf d) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ (- (+ (* -1 (/ (pow c 2) (* b d))) (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) d)) (/ 1 b)))) (taylor -inf d) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) (taylor -inf d) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* b d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 c c)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 c c)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 c c)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 c c)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
48.0ms	c	@	-inf	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ -1 (* (/ 1 (+ (* d b) (* c a))) (neg (+ (* d d) (* c c))))) (* (/ 1 (+ (* d b) (* c a))) (neg (+ (* d d) (* c c)))) (/ 1 (+ (* d b) (* c a))) (+ (* d b) (* c a)) (* c a) (* d d) (+ (* c c) (* d d)))
38.0ms	b	@	inf	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ -1 (* (/ 1 (+ (* d b) (* c a))) (neg (+ (* d d) (* c c))))) (* (/ 1 (+ (* d b) (* c a))) (neg (+ (* d d) (* c c)))) (/ 1 (+ (* d b) (* c a))) (+ (* d b) (* c a)) (* c a) (* d d) (+ (* c c) (* d d)))
3.0ms	b	@	-inf	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ -1 (* (/ 1 (+ (* d b) (* c a))) (neg (+ (* d d) (* c c))))) (* (/ 1 (+ (* d b) (* c a))) (neg (+ (* d d) (* c c)))) (/ 1 (+ (* d b) (* c a))) (+ (* d b) (* c a)) (* c a) (* d d) (+ (* c c) (* d d)))
3.0ms	b	@	0	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ -1 (* (/ 1 (+ (* d b) (* c a))) (neg (+ (* d d) (* c c))))) (* (/ 1 (+ (* d b) (* c a))) (neg (+ (* d d) (* c c)))) (/ 1 (+ (* d b) (* c a))) (+ (* d b) (* c a)) (* c a) (* d d) (+ (* c c) (* d d)))
3.0ms	c	@	inf	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ -1 (* (/ 1 (+ (* d b) (* c a))) (neg (+ (* d d) (* c c))))) (* (/ 1 (+ (* d b) (* c a))) (neg (+ (* d d) (* c c)))) (/ 1 (+ (* d b) (* c a))) (+ (* d b) (* c a)) (* c a) (* d d) (+ (* c c) (* d d)))

simplify285.0ms (3.1%)

Memory

1.8MiB live, 145.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 228×	`lower-*.f64`
6 228×	`lower-*.f32`
6 058×	`lower-fma.f64`
6 058×	`lower-fma.f32`
3 558×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	975	12205
1	3317	11879
0	8076	11174

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

Calls

Call 1

Inputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(* a c)
(* a c)
(* a c)
(* a c)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(* -1 (/ d b))
(+ (* -1 (/ d b)) (/ (* a c) (pow b 2)))
(+ (* -1 (/ d b)) (* c (+ (* -1 (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (/ a (pow b 2)))))
(+ (* -1 (/ d b)) (* c (+ (* c (+ (* -1 (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d)))) (/ a (pow b 2)))))
(/ 1 (* b d))
(+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d)))
(+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 3))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 3)))))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a c)
(* a c)
(* a c)
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* a c)
(* a c)
(* a c)
(* a c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* -1 (/ c a))
(* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)))
(* c (- (+ (* -1 (/ (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (pow c 2))) (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(* c (- (+ (* -1 (/ (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (pow c 2))) (+ (/ (* b d) (* (pow a 2) c)) (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3))))) (/ 1 a)))
(/ 1 (* a c))
(/ (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)) c)
(/ (- (+ (/ 1 a) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))) c)
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* a c)
(* a c)
(* a c)
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ c a)
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
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(* a c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a c)))
(/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)
(/ (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)
(/ (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (+ (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))) (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))))) a)
(/ 1 (* a c))
(/ (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)) a)
(/ (- (+ (/ 1 c) (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))) (/ (* b d) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))) (/ (* b d) (* a (pow c 2))))) a)
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* a c)
(* a c)
(* a c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (+ (pow c 2) (pow d 2)) (* a c))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* a c)
(* a c)
(* a c)
(* a c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a c)))
(* -1 (/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a))
(* -1 (/ (+ c (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a)) (/ (pow d 2) c))) a))
(* -1 (/ (+ c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4)))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a)) (/ (pow d 2) c))) a))
(/ 1 (* a c))
(* -1 (/ (- (/ (* b d) (* a (pow c 2))) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a (pow c 3))) (/ (* b d) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 2)) (pow c 3))) a)) (/ (* b d) (pow c 2))) a)) (/ 1 c)) a))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* a c)
(* a c)
(* a c)
(* a c)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (* b d) (pow c 2))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(/ b (pow c 2))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* b d)
(* b d)
(* b d)
(* b d)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* -1 (/ c a))
(+ (* -1 (/ c a)) (/ (* b d) (pow a 2)))
(+ (* -1 (/ c a)) (* d (+ (* -1 (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (/ b (pow a 2)))))
(+ (* -1 (/ c a)) (* d (+ (* d (+ (* -1 (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c)))) (/ b (pow a 2)))))
(/ 1 (* a c))
(+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ b (pow d 2))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* b d)
(* b d)
(* b d)
(* b d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* -1 (/ d b))
(* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)))
(* d (- (+ (* -1 (/ (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (pow d 2))) (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (* -1 (/ (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (pow d 2))) (+ (/ (* a c) (* (pow b 2) d)) (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3))))) (/ 1 b)))
(/ 1 (* b d))
(/ (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)) d)
(/ (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))) d)
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))) d)
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/ b (pow d 2))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* b d)
(* b d)
(* b d)
(* b d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (/ d b))
(* -1 (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))))
(* -1 (* d (+ (* -1 (/ (- (+ (* -1 (/ (pow c 2) (* b d))) (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) d)) (/ 1 b))))
(* -1 (* d (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(/ 1 (* b d))
(* -1 (/ (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)) d))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))

Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (.f64 (.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 c (.f64 (.f64 d d) (.f64 d d))) (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (.f64 d d))) c (/.f64 b d))
(/ d b)
(/.f64 d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) (/.f64 d b))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 d b)) (/.f64 (.f64 a a) (.f64 (.f64 (.f64 b b) b) d))) c (/.f64 (neg.f64 a) (.f64 b b))) c (/.f64 d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 d b)) (/.f64 (.f64 (.f64 c a) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 d b)) (/.f64 (.f64 a a) (.f64 (.f64 (.f64 b b) b) d)))) (.f64 d b))) (/.f64 (.f64 a a) (.f64 (.f64 (.f64 b b) b) d))) c (/.f64 (neg.f64 a) (.f64 b b))) c (/.f64 d b))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(/ b d)
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(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (.f64 c c) d) (.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) c) d) (.f64 (.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (.f64 c c) d) (.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) c) d) (.f64 (.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(/.f64 (fma.f64 b (/.f64 (.f64 c c) (.f64 d d)) (neg.f64 b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (/.f64 (.f64 (.f64 c c) b) (*.f64 d d))) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (.f64 b (+.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 c c) (*.f64 d d))))) b) (neg.f64 d))
(/ b (pow d 2))
(/.f64 b (*.f64 d d))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (.f64 c c) (.f64 d d)) b) (*.f64 d d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/.f64 (+.f64 b (.f64 b (-.f64 (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (/.f64 (.f64 c c) (.f64 d d))))) (.f64 d d))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) b) (fma.f64 (neg.f64 b) (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (/.f64 (.f64 (.f64 c c) b) (.f64 d d)))) (.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 d d)) #s(literal 1 binary64)) (.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 d d)) #s(literal 1 binary64)) (.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 d d)) #s(literal 1 binary64)) (.f64 d d))
(* b d)
(*.f64 d b)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (.f64 c c) d) (.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) c) d) (.f64 (.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (.f64 c c) d) (.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (.f64 (.f64 c c) c) d) (.f64 (.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ d b))
(/.f64 (neg.f64 d) b)
(* -1 (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))))
(.f64 (fma.f64 (neg.f64 a) (/.f64 c (.f64 (*.f64 b b) d)) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ (- (+ (* -1 (/ (pow c 2) (* b d))) (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) d)) (/ 1 b))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (-.f64 (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 c c) (.f64 (neg.f64 b) d))) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (.f64 (.f64 b b) b) d))) d)) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 c a) (-.f64 (/.f64 (.f64 c c) (neg.f64 b)) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (.f64 b b) b)))) (.f64 d b)) (-.f64 (/.f64 (.f64 c c) (neg.f64 b)) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (*.f64 b b) b)))) (neg.f64 d))) d)) (neg.f64 d))
(/ 1 (* b d))
(/.f64 #s(literal 1 binary64) (*.f64 d b))
(* -1 (/ (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)) d))
(/.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) d)) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (.f64 (.f64 (.f64 b b) b) d)) (.f64 (neg.f64 a) (/.f64 c (*.f64 b b)))) (neg.f64 d)) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 a a) a) (/.f64 (.f64 (.f64 c c) c) (.f64 (pow.f64 b #s(literal 4 binary64)) d)) (.f64 (neg.f64 (.f64 a a)) (/.f64 (.f64 c c) (.f64 (.f64 b b) b)))) (neg.f64 d)) (.f64 a (/.f64 c (.f64 b b)))) (neg.f64 d)) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d))
(* b d)
(*.f64 d b)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 d d)) #s(literal 1 binary64)) (.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 d d)) #s(literal 1 binary64)) (.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 d d)) #s(literal 1 binary64)) (.f64 d d))

rewrite658.0ms (7.2%)

Memory

2.7MiB live, 319.4MiB allocated

Rules

4 622×	`lower-fma.f32`
4 616×	`lower-fma.f64`
4 530×	`lower-*.f32`
4 516×	`lower-*.f64`
3 978×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	202
0	54	191
1	197	189
2	1290	189
0	8386	189

Stop Event

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

Counts

21 → 1 854

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 a c (.f64 (neg.f64 b) d))))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 a c (*.f64 (neg.f64 b) d))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 (neg.f64 c) a))))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 b d (*.f64 (neg.f64 c) a))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 (.f64 (.f64 a c) a) c (.f64 (.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 (.f64 (.f64 b d) b) d (.f64 (.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 d c) (-.f64 d c)))) (pow.f64 (fma.f64 a c (.f64 b d)) #s(literal -1/2 binary64))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d)))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 d c) (-.f64 d c)))) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 d c) (-.f64 d c)) (neg.f64 (fma.f64 a c (*.f64 b d)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 d c) (-.f64 d c)))) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 a c (*.f64 b d))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 a c (.f64 (neg.f64 b) d))))) (/.f64 (.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 a c (*.f64 (neg.f64 b) d))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 (neg.f64 c) a))))) (/.f64 (.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 b d (*.f64 (neg.f64 c) a))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))))) (/.f64 (.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 (.f64 (.f64 a c) a) c (.f64 (.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))))) (/.f64 (.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 (.f64 (.f64 b d) b) d (.f64 (.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 c d) (-.f64 c d)))) (pow.f64 (fma.f64 a c (.f64 b d)) #s(literal -1/2 binary64))) (/.f64 (.f64 (+.f64 c d) (-.f64 c d)) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d)))) (/.f64 (.f64 (+.f64 c d) (-.f64 c d)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 c d) (-.f64 c d)))) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 c d) (-.f64 c d)) (neg.f64 (fma.f64 a c (*.f64 b d)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d d (.f64 c c)) (.f64 (+.f64 c d) (-.f64 c d)))) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 a c (*.f64 b d))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c) (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 a c (.f64 (neg.f64 b) d))))) (/.f64 (fma.f64 (.f64 (.f64 d d) d) d (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 a c (*.f64 (neg.f64 b) d))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c) (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 a c (.f64 (neg.f64 b) d))))) (/.f64 (fma.f64 (.f64 d d) (.f64 (+.f64 d c) (-.f64 d c)) (.f64 (.f64 (.f64 c c) c) c)) (fma.f64 a c (*.f64 (neg.f64 b) d))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c) (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 (neg.f64 c) a))))) (/.f64 (fma.f64 (.f64 (.f64 d d) d) d (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 b d (*.f64 (neg.f64 c) a))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 b d (.f64 (neg.f64 c) a))) (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 b d (.f64 (neg.f64 c) a)))) (.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 b d (.f64 (neg.f64 c) a))) (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 b d (.f64 (neg.f64 c) a))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 b d (.f64 (neg.f64 c) a))) (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 b d (.f64 (neg.f64 c) a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 a c (.f64 (neg.f64 b) d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 a c (.f64 (neg.f64 b) d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 a c (.f64 (neg.f64 b) d))) (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 a c (.f64 (neg.f64 b) d))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 a c (.f64 (neg.f64 b) d))) (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 a c (.f64 (neg.f64 b) d))) (.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 a c (.f64 (neg.f64 b) d))) (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 b d (.f64 (neg.f64 c) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 b d (.f64 (neg.f64 c) a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 b d (.f64 (neg.f64 c) a))) (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 b d (.f64 (neg.f64 c) a))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 b d (.f64 (neg.f64 c) a))) (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 b d (.f64 (neg.f64 c) a))) (.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 b d (.f64 (neg.f64 c) a))) (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 c) a)))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (fma.f64 a c (.f64 (neg.f64 b) d)))) (neg.f64 (neg.f64 (fma.f64 a c (.f64 (neg.f64 b) d)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (fma.f64 a c (.f64 (neg.f64 b) d)))) (fma.f64 a c (.f64 (neg.f64 b) d)))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (fma.f64 b d (.f64 (neg.f64 c) a)))) (neg.f64 (neg.f64 (fma.f64 b d (.f64 (neg.f64 c) a)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (fma.f64 b d (.f64 (neg.f64 c) a)))) (fma.f64 b d (.f64 (neg.f64 c) a)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a c) a) c (.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 c) a)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 b d) b) d (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 b) d)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))))) (fma.f64 (.f64 (.f64 a c) a) c (.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 c) a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))))) (fma.f64 (.f64 (.f64 b d) b) d (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 b) d)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 a c (.f64 (neg.f64 b) d))) (.f64 (fma.f64 a c (.f64 (neg.f64 b) d)) (.f64 (.f64 (.f64 b d) b) d))) (.f64 (fma.f64 a c (.f64 (neg.f64 b) d)) (fma.f64 a c (*.f64 (neg.f64 b) d))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 b d (.f64 (neg.f64 c) a))) (.f64 (fma.f64 b d (.f64 (neg.f64 c) a)) (.f64 (.f64 (.f64 a c) a) c))) (.f64 (fma.f64 b d (.f64 (neg.f64 c) a)) (fma.f64 b d (*.f64 (neg.f64 c) a))))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (fma.f64 a c (.f64 (neg.f64 b) d))) (neg.f64 (fma.f64 a c (.f64 (neg.f64 b) d))))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (fma.f64 b d (.f64 (neg.f64 c) a))) (neg.f64 (fma.f64 b d (.f64 (neg.f64 c) a))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c)))) (neg.f64 (fma.f64 (.f64 (.f64 a c) a) c (.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 c) a))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c)))) (neg.f64 (fma.f64 (.f64 (.f64 b d) b) d (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 b) d))))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 a c (.f64 (neg.f64 b) d))) (neg.f64 (neg.f64 (fma.f64 a c (.f64 (neg.f64 b) d)))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 a c (.f64 (neg.f64 b) d))) (fma.f64 a c (.f64 (neg.f64 b) d)))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 (neg.f64 c) a))) (neg.f64 (neg.f64 (fma.f64 b d (.f64 (neg.f64 c) a)))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 (neg.f64 c) a))) (fma.f64 b d (.f64 (neg.f64 c) a)))
(/.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a c) a) c (.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 c) a)))))))
(/.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 b d) b) d (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 b) d)))))))
(/.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))) (fma.f64 (.f64 (.f64 a c) a) c (.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 c) a)))))
(/.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))) (fma.f64 (.f64 (.f64 b d) b) d (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 b) d)))))
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a c (*.f64 b d))))
(/.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))))
(neg.f64 (neg.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 (.f64 (.f64 (.f64 b d) b) d) (/.f64 #s(literal 1 binary64) (fma.f64 b d (.f64 (neg.f64 c) a))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 b d (.f64 (neg.f64 c) a)))))
(fma.f64 (.f64 (.f64 (.f64 a c) a) c) (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 (neg.f64 b) d))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 a c (.f64 (neg.f64 b) d)))))
(fma.f64 (.f64 b d) #s(literal 1 binary64) (.f64 (*.f64 a c) #s(literal 1 binary64)))
(fma.f64 (.f64 a c) #s(literal 1 binary64) (.f64 (*.f64 b d) #s(literal 1 binary64)))
(fma.f64 a c (*.f64 b d))
(fma.f64 b d (*.f64 a c))
(fma.f64 c a (*.f64 b d))
(fma.f64 d b (*.f64 a c))
(fma.f64 #s(literal 1 binary64) (.f64 b d) (.f64 #s(literal 1 binary64) (*.f64 a c)))
(fma.f64 #s(literal 1 binary64) (.f64 a c) (.f64 #s(literal 1 binary64) (*.f64 b d)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 a c (.f64 (neg.f64 b) d))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 a c (.f64 (neg.f64 b) d))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 b d (.f64 (neg.f64 c) a))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 b d (.f64 (neg.f64 c) a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 a c (.f64 (neg.f64 b) d))) (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 a c (.f64 (neg.f64 b) d))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 b d (.f64 (neg.f64 c) a))) (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 b d (.f64 (neg.f64 c) a))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 a c) #s(literal 1 binary64)) (.f64 (.f64 b d) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 b d) #s(literal 1 binary64)) (.f64 (.f64 a c) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 a c)) (.f64 #s(literal 1 binary64) (.f64 b d)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 b d)) (.f64 #s(literal 1 binary64) (.f64 a c)))
(+.f64 (neg.f64 (.f64 (neg.f64 c) a)) (neg.f64 (.f64 (neg.f64 b) d)))
(+.f64 (neg.f64 (.f64 (neg.f64 b) d)) (neg.f64 (.f64 (neg.f64 c) a)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 a c (.f64 (neg.f64 b) d))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 a c (.f64 (neg.f64 b) d)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 b d) b) d) (fma.f64 b d (.f64 (neg.f64 c) a))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 a c) a) c) (fma.f64 b d (.f64 (neg.f64 c) a)))))
(+.f64 (.f64 b d) (.f64 a c))
(+.f64 (.f64 a c) (.f64 b d))
(*.f64 a c)
(*.f64 c a)
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)))
(*.f64 d d)
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1 binary64))
(pow.f64 d #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( c c) (* d d)) (*.f64 c c))))
(.f64 #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))

eval942.0ms (10.3%)

Memory: 69.4MiB live, 672.9MiB allocated
Compiler: Compiled 98 365 to 5 484 computations (94.4% saved)

prune872.0ms (9.5%)

Memory

-23.9MiB live, 629.3MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	2 909	15	2 924
Fresh	5	5	10
Picked	3	2	5
Done	0	0	0
Total	2 917	22	2 939

Accuracy

100.0%

Counts

2 939 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.7%	(/.f64 (fma.f64 c a (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	32.1%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	23.6%	(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 (neg.f64 c) a))) (.f64 (fma.f64 b d (.f64 (neg.f64 c) a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))))
	29.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	40.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 d b)))
	44.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
	35.4%	(/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (+ (* d b) (* c a))) (neg (+ (* d d) (* c c)))) (.f64 (-.f64 (fma.f64 b (/.f64 d (.f64 (.f64 a a) c)) (/.f64 (-.f64 (/.f64 (.f64 d d) (neg.f64 a)) (/.f64 (.f64 (.f64 d b) (.f64 d b)) (.f64 (.f64 a a) a))) (.f64 c c))) (/.f64 #s(literal 1 binary64) a)) c)))
	53.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
▶	52.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
▶	54.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	52.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
▶	41.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	35.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
▶	25.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d))
	18.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))
	43.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c))
	43.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	35.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) b) d))
	39.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d)))
▶	44.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))))
	19.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) d) (.f64 b (/.f64 d (.f64 c c)))))

Compiler

Compiled 651 to 357 computations (45.2% saved)

simplify6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 a d)
cost-diff	0	(fma.f64 (/.f64 a d) c b)
cost-diff	0	(/.f64 (fma.f64 (/.f64 a d) c b) d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
cost-diff	0	(fma.f64 c c (*.f64 d d))
cost-diff	0	(/.f64 c (fma.f64 c c (*.f64 d d)))
cost-diff	0	(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))))
cost-diff	0	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
cost-diff	0	(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
cost-diff	0	(.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d))
cost-diff	0	(/.f64 b d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
cost-diff	0	(/.f64 d c)
cost-diff	0	(fma.f64 b (/.f64 d c) a)
cost-diff	0	(/.f64 (fma.f64 b (/.f64 d c) a) c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))

Rules

44×	`lower-*.f32`
38×	`lower-*.f64`
32×	`lower-/.f32`
28×	`lower-fma.f32`
22×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	236
0	46	236
1	60	236
2	68	236
3	72	236
0	72	231

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
b
(/.f64 d c)
d
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d))
(.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d)
(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
b
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))))
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
a
(/.f64 c (fma.f64 c c (*.f64 d d)))
c
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a d) c b)
(/.f64 a d)
a
d
c
b

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 b (/.f64 d c) a)
(fma.f64 (/.f64 d c) b a)
b
(/.f64 d c)
d
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 d b) #s(approx (+ ( c c) (* d d)) (*.f64 d d))))
(.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d)
(/.f64 (.f64 d b) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
b
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
a
(/.f64 c (fma.f64 c c (*.f64 d d)))
(/.f64 c (fma.f64 d d (*.f64 c c)))
c
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 d d)
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a d) c b)
(/.f64 a d)
a
d
c
b

localize83.0ms (0.9%)

Memory

-45.0MiB live, 132.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 a d)
accuracy	0.5128014513252428	(/.f64 (fma.f64 (/.f64 a d) c b) d)
accuracy	2.914216125947516	(fma.f64 (/.f64 a d) c b)
accuracy	30.149055472420844	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
accuracy	0	(*.f64 d d)
accuracy	3.3637518305770127	(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
accuracy	17.414902351536533	(/.f64 c (fma.f64 c c (*.f64 d d)))
accuracy	25.03220842242451	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))))
accuracy	8.993287927325738	(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
accuracy	9.583175658178257	(.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d)
accuracy	28.8621278511367	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	28.975582658668873	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d))
accuracy	0	(/.f64 b d)
accuracy	37.746788598317885	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy	0	(/.f64 d c)
accuracy	1.006385986375063	(/.f64 (fma.f64 b (/.f64 d c) a) c)
accuracy	3.0284846922066566	(fma.f64 b (/.f64 d c) a)
accuracy	28.98082433864881	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))

Samples

63.0ms

256×

valid

Compiler

Compiled 193 to 26 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 15.0ms (47.7% of total)

ival-mult: 12.0ms (38.1% of total)

ival-add: 5.0ms (15.9% of total)

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

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

series103.0ms (1.1%)

Memory

27.9MiB live, 142.2MiB allocated

Counts

19 → 696

Calls

Call 1

Inputs
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b (/.f64 d c) a) c) (patch (/.f64 (fma.f64 b (/.f64 d c) a) c) #<representation binary64>) () ())
#s(alt (fma.f64 b (/.f64 d c) a) (patch (fma.f64 b (/.f64 d c) a) #<representation binary64>) () ())
#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())
#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 d d))) d)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 d d))) d) (patch (.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d) #<representation binary64>) () ())
#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (.f64 d d))) (patch (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (.f64 d d)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) #<representation binary64>) () ())
#s(alt (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) (patch (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) #<representation binary64>) () ())
#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())
#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())
#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())
#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())

Outputs
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 d c) a) c) (patch (/.f64 (fma.f64 b (/.f64 d c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 d c) a) c) (patch (/.f64 (fma.f64 b (/.f64 d c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 d c) a) c) (patch (/.f64 (fma.f64 b (/.f64 d c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 d c) a) c) (patch (/.f64 (fma.f64 b (/.f64 d c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 d c) a) (patch (fma.f64 b (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 d c) a) (patch (fma.f64 b (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 d c) a) (patch (fma.f64 b (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 d c) a) (patch (fma.f64 b (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 d d))) d)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 d d))) d)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 d d))) d)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 d d))) d)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 d d))) d) (patch (.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) (taylor 0 c) (#s(alt (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 d d))) d) (patch (.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) (taylor 0 c) (#s(alt (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 d d))) d) (patch (.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) (taylor 0 c) (#s(alt (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 d d))) d) (patch (.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (/ b (pow d 2)) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (.f64 d d))) (patch (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (.f64 d d))) (patch (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (.f64 d d))) (patch (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (.f64 d d))) (patch (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 d d)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 d d)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 d d)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (.f64 d d)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor 0 c) (#s(alt (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) (patch (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) (patch (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) (patch (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) (patch (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor -inf d) (#s(alt (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) (patch (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) (taylor -inf d) (#s(alt (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) (patch (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) (patch (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) (patch (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	a	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* c c) (* d d)))) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (* d d))
8.0ms	b	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* c c) (* d d)))) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (* d d))
7.0ms	b	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* c c) (* d d)))) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (* d d))
4.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* c c) (* d d)))) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (* d d))
3.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* c c) (* d d)))) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (* d d))

simplify252.0ms (2.7%)

Memory

24.2MiB live, 326.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 518×	`lower-fma.f64`
9 518×	`lower-fma.f32`
6 052×	`lower-*.f64`
6 052×	`lower-*.f32`
2 528×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	550	9028
1	1723	8870
2	5226	8695
0	8494	8111

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 684

Calls

Call 1

Inputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (* b d) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ (* a c) (pow d 2))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(/ c (pow d 2))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/ 1 c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ a c)
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))
(/ 1 c)
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (pow d 2))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) d)
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) c)
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
b
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) c)
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (* b d) (pow c 2))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(/ b (pow c 2))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ a c)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))
(/ 1 c)
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ b (pow d 2))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (* a c) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/ b (pow d 2))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ (* a c) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)

Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) (.f64 d d))) a (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (.f64 d d))) c (/.f64 b d))
(/ (* b d) (pow c 2))
(.f64 (/.f64 d (.f64 c c)) b)
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 c a (.f64 d b)) (.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 c a (.f64 d b)) (.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 c a (.f64 d b)) (.f64 c c))
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) (.f64 d d))) a (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) (.f64 d d))) a (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(/.f64 (.f64 b (fma.f64 c (/.f64 c (.f64 d d)) #s(literal -1 binary64))) (neg.f64 d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (.f64 (.f64 c c) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (.f64 (.f64 d d) d))) (*.f64 c c) (/.f64 b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 7 binary64))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (.f64 c c)) (/.f64 b (.f64 (.f64 d d) d))) (.f64 c c) (/.f64 b d))
(/ b (pow d 2))
(/.f64 b (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(/.f64 (.f64 (neg.f64 b) (fma.f64 c (/.f64 c (.f64 d d)) #s(literal -1 binary64))) (*.f64 d d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (.f64 (.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (.f64 (.f64 d d) (.f64 d d)))) (.f64 c c) (/.f64 b (*.f64 d d)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (.f64 c c)) (/.f64 b (.f64 (.f64 d d) (.f64 d d)))) (.f64 c c) (/.f64 b (.f64 d d)))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) (.f64 d d))) a (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (.f64 d d))) c (/.f64 b d))
(/ (* a c) (pow d 2))
(.f64 (/.f64 c (.f64 d d)) a)
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(.f64 (-.f64 (/.f64 a (.f64 d d)) (/.f64 (.f64 (.f64 c c) a) (.f64 (.f64 d d) (*.f64 d d)))) c)
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (.f64 (.f64 d d) (.f64 d d)))) (.f64 c c) (/.f64 a (.f64 d d))) c)
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (.f64 c c)) (/.f64 a (.f64 (.f64 d d) (.f64 d d)))) (.f64 c c) (/.f64 a (*.f64 d d))) c)
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(fma.f64 (neg.f64 c) (/.f64 (.f64 c c) (.f64 (.f64 d d) (.f64 d d))) (/.f64 c (*.f64 d d)))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(.f64 (fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 d d) (.f64 d d)))) (.f64 c c) (/.f64 #s(literal 1 binary64) (.f64 d d))) c)
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64)))) (.f64 c c) (/.f64 #s(literal -1 binary64) (.f64 (.f64 d d) (.f64 d d)))) (.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d))) c)
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) (.f64 d d))) a (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (.f64 (neg.f64 d) d) (/.f64 a (.f64 c c)) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (neg.f64 d) d) d) (/.f64 b (.f64 c c)) (.f64 d b)) c) a)) c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
a
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b a)
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b a)
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b a)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (.f64 (neg.f64 d) d) (/.f64 a (.f64 c c)) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (neg.f64 d) d) d) (/.f64 b (.f64 c c)) (.f64 d b)) c) a)) c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (.f64 (neg.f64 d) d) (/.f64 a (.f64 c c)) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (neg.f64 d) d) d) (/.f64 b (.f64 c c)) (.f64 d b)) c) a)) c)
(/ (* b d) (pow c 2))
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(/.f64 (fma.f64 b (-.f64 (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (.f64 c (/.f64 c (.f64 d d)))) b) (*.f64 d d))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (neg.f64 (fma.f64 b (fma.f64 c (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 c c) (.f64 c c)) (/.f64 b (.f64 (.f64 d d) (.f64 d d))) b)))) (.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 c) c) d) b (.f64 c a)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (.f64 c c) b (/.f64 (.f64 (.f64 (.f64 c c) c) a) d)) (neg.f64 d))) d) b) d)
(/ (* a c) (pow d 2))
(.f64 (/.f64 c (.f64 d d)) a)
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/.f64 (fma.f64 (.f64 (.f64 (neg.f64 c) c) c) (/.f64 a (.f64 d d)) (.f64 c a)) (*.f64 d d))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 a (fma.f64 (.f64 (neg.f64 c) c) (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 d d) (.f64 d d)))) (.f64 c a)) (*.f64 d d))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 7 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (fma.f64 (.f64 (neg.f64 c) c) (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 d d) (.f64 d d)))) (.f64 c a))) (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 c (.f64 c (.f64 c (/.f64 c (.f64 d d))))) (.f64 d d))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 d d) (.f64 d d))) (-.f64 c (.f64 c (.f64 c (/.f64 c (.f64 d d)))))) (*.f64 d d))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (.f64 c (.f64 c (/.f64 c (.f64 d d)))) (/.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 d d) (.f64 d d))))) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 c) c) d) b (.f64 c a)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (.f64 c c) b (/.f64 (.f64 (.f64 (.f64 c c) c) a) d)) (neg.f64 d))) d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)

rewrite191.0ms (2.1%)

Memory

-39.7MiB live, 371.5MiB allocated

Rules

9 898×	`lower-fma.f32`
9 892×	`lower-fma.f64`
6 118×	`lower-*.f32`
6 112×	`lower-*.f64`
3 382×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	218
0	46	218
1	158	218
2	1079	218
0	8461	213

Stop Event

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

Counts

19 → 528

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
(/.f64 d c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d))
(.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d)
(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))))
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(/.f64 c (fma.f64 c c (*.f64 d d)))
(fma.f64 c c (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a d) c b)
(/.f64 a d)
(*.f64 d d)

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (*.f64 a a))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) (/.f64 d c) a)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (*.f64 c c)))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 d c) b a))) (/.f64 #s(literal -1 binary64) c))
(*.f64 (pow.f64 (/.f64 c (fma.f64 (/.f64 d c) b a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (fma.f64 (/.f64 d c) b a)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c))) c) (/.f64 (fma.f64 (/.f64 d c) b a) (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (*.f64 c c)))))
(.f64 (pow.f64 (/.f64 c (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) (/.f64 d c) a)))
(.f64 (pow.f64 (/.f64 c (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (.f64 a a)) c) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) (/.f64 d c) a)))
(.f64 (/.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c))) c) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) c))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (.f64 a a)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) (/.f64 d c) a)) (/.f64 #s(literal 1 binary64) c)))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c)))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (/.f64 d c) b a))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (*.f64 c c)))) (/.f64 #s(literal 1 binary64) c)))
(.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (*.f64 c c))) c)))
(.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c))) (/.f64 #s(literal 1 binary64) (.f64 c (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (*.f64 c c))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 (fma.f64 (/.f64 d c) b a) c) (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) (fma.f64 (/.f64 d c) b (neg.f64 a))))
(*.f64 (fma.f64 (/.f64 d c) b a) (/.f64 #s(literal 1 binary64) c))
(pow.f64 (/.f64 c (fma.f64 (/.f64 d c) b a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (*.f64 a a)) c)) (fma.f64 (neg.f64 b) (/.f64 d c) a))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c))) c)) (neg.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (*.f64 c c)))))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (*.f64 a a)) c) (fma.f64 (/.f64 d c) b (neg.f64 a)))
(/.f64 (/.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c))) c) (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (*.f64 c c))))
(/.f64 (.f64 (fma.f64 (/.f64 d c) b a) (fma.f64 (neg.f64 b) (/.f64 d c) a)) (neg.f64 (.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c)))
(/.f64 (.f64 (fma.f64 (/.f64 d c) b a) (fma.f64 (neg.f64 b) (/.f64 d c) a)) (neg.f64 (.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a)))))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c)))) (neg.f64 (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c))) c)))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c)))) (neg.f64 (.f64 c (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c))))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) (fma.f64 (/.f64 d c) b a)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (.f64 a a)) (.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (.f64 a a)) (.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (*.f64 a a)) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c))) (/.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (*.f64 c c) c))) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c) (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c))) c) (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a))) (-.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 c (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)))) (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 d c) b a)))
(/.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c))) (.f64 c (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)))))
(/.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c))) (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c))) c))
(/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (neg.f64 c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 c (fma.f64 (/.f64 d c) b a))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) c)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) c))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (.f64 (/.f64 d c) b) (.f64 (/.f64 #s(literal 1 binary64) c) a))
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (.f64 (/.f64 #s(literal 1 binary64) c) (.f64 (/.f64 d c) b)))
(fma.f64 (.f64 (/.f64 d c) b) (/.f64 #s(literal 1 binary64) c) (.f64 a (/.f64 #s(literal 1 binary64) c)))
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (.f64 (.f64 (/.f64 d c) b) (/.f64 #s(literal 1 binary64) c)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a)))) (/.f64 (.f64 a a) (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c)) (fma.f64 (/.f64 d c) b (neg.f64 a))) c) (/.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 d c) b (neg.f64 a))) c))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) c))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) c))
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 (/.f64 d c) b a))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 d c) b) (/.f64 #s(literal 1 binary64) c)) (*.f64 a (/.f64 #s(literal 1 binary64) c)))
(+.f64 (.f64 a (/.f64 #s(literal 1 binary64) c)) (.f64 (*.f64 (/.f64 d c) b) (/.f64 #s(literal 1 binary64) c)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) c) (.f64 (/.f64 d c) b)) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) c) a) (.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 d c) b)))
(.f64 (-.f64 (.f64 a a) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 a (*.f64 (/.f64 d c) b))))
(.f64 (.f64 (fma.f64 (/.f64 d c) b a) (fma.f64 (neg.f64 b) (/.f64 d c) a)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 d c) a)))
(.f64 (neg.f64 (fma.f64 (.f64 a a) a (/.f64 (.f64 (.f64 (.f64 (.f64 d d) d) b) (.f64 b b)) (.f64 (.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 d c) b)) (/.f64 (.f64 (.f64 (.f64 d d) b) b) (.f64 c c))))))
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(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) d) (.f64 (.f64 (/.f64 a d) c) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) d) (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 a d) c)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (.f64 (.f64 (/.f64 a d) c) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 a d) c)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 a d) c) (/.f64 b d))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (.f64 (.f64 (/.f64 a d) c) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 a d) c)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (.f64 (.f64 (/.f64 a d) c) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 a d) c)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (.f64 (.f64 (/.f64 a d) c) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 a d) c)))
(fma.f64 (*.f64 (/.f64 a d) c) (/.f64 #s(literal 1 binary64) d) (/.f64 b d))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (.f64 (.f64 (/.f64 a d) c) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 a d) c)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))) (/.f64 (.f64 b b) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) d) (/.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) d))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) d))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) d))
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 (/.f64 a d) c b))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 a d) c) (/.f64 #s(literal 1 binary64) d)) (/.f64 b d))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 a d) c)) (/.f64 b d))
(+.f64 (/.f64 b d) (.f64 (.f64 (/.f64 a d) c) (/.f64 #s(literal 1 binary64) d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 a d) c)))
(.f64 (-.f64 (.f64 b b) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 b (*.f64 (/.f64 a d) c))))
(.f64 (.f64 (fma.f64 (/.f64 a d) c b) (fma.f64 (neg.f64 a) (/.f64 c d) b)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) (/.f64 c d) b)))
(.f64 (neg.f64 (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 a d) c)) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 a d) c b)))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (.f64 b b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 a) (/.f64 c d) b)) #s(literal 1 binary64)))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (.f64 b b)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 a) (/.f64 c d) b)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b))
(.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 a d) c)) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d))) (.f64 (fma.f64 (/.f64 a d) c b) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (.f64 (/.f64 a d) c)) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d))))))
(.f64 (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (.f64 (/.f64 a d) c)) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (*.f64 d d)))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (*.f64 (/.f64 a d) c) (fma.f64 (/.f64 c d) a (neg.f64 b))))))
(.f64 (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (.f64 (/.f64 a d) c)) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)))))
(.f64 (fma.f64 (/.f64 a d) c b) (.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 a) (/.f64 c d) b))))
(*.f64 (fma.f64 (/.f64 a d) c b) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b)))) (.f64 (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))))) (+.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (fma.f64 (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)))) (neg.f64 (-.f64 b (.f64 (/.f64 a d) c))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 a d) c b) (fma.f64 (neg.f64 a) (/.f64 c d) b))) (neg.f64 (fma.f64 (neg.f64 a) (/.f64 c d) b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 a d) c b) (fma.f64 (neg.f64 a) (/.f64 c d) b))) (fma.f64 (/.f64 c d) a (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 a d) c)) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (*.f64 d d))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d))))) (fma.f64 b (-.f64 b (.f64 (/.f64 a d) c)) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (*.f64 d d))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (.f64 b b))) (.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (fma.f64 (/.f64 c d) a (neg.f64 b))))
(/.f64 (-.f64 (.f64 b b) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d))) (-.f64 b (.f64 (/.f64 a d) c)))
(/.f64 (*.f64 (fma.f64 (/.f64 a d) c b) (fma.f64 (neg.f64 a) (/.f64 c d) b)) (fma.f64 (neg.f64 a) (/.f64 c d) b))
(/.f64 (neg.f64 (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d)))) (neg.f64 (fma.f64 b b (.f64 (.f64 (/.f64 a d) c) (fma.f64 (/.f64 c d) a (neg.f64 b))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d)))) (neg.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 a d) c)) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (*.f64 d d)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (*.f64 b b)) (neg.f64 (fma.f64 (neg.f64 a) (/.f64 c d) b)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (*.f64 b b)) (fma.f64 (/.f64 c d) a (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) (-.f64 (.f64 b b) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (.f64 (.f64 (/.f64 a d) c) (fma.f64 (/.f64 c d) a (neg.f64 b)))) (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)))
(/.f64 (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 a d) c)) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (*.f64 d d))))))
(/.f64 (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d))) (fma.f64 b b (.f64 (.f64 (/.f64 a d) c) (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(/.f64 (fma.f64 (.f64 b b) b (/.f64 (.f64 (.f64 (.f64 (.f64 c c) c) a) (.f64 a a)) (.f64 (.f64 d d) d))) (fma.f64 b (-.f64 b (.f64 (/.f64 a d) c)) (/.f64 (.f64 (.f64 (.f64 a a) c) c) (*.f64 d d))))
(neg.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)))
(fma.f64 (.f64 (.f64 c a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) d) b)
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 c d) b)
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 a) d) b)
(fma.f64 (*.f64 (neg.f64 a) c) (/.f64 #s(literal -1 binary64) d) b)
(fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (/.f64 a d) c))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 c (/.f64 #s(literal 1 binary64) a)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c a) b)
(fma.f64 (/.f64 c d) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) b)
(fma.f64 (/.f64 c d) a b)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 a d) c) b)
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 a d) c))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 a) (/.f64 c d) b)) (neg.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(fma.f64 (neg.f64 a) (*.f64 (/.f64 #s(literal -1 binary64) d) c) b)
(fma.f64 (/.f64 a d) c b)
(fma.f64 b #s(literal 1 binary64) (*.f64 (/.f64 a d) c))
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) d) b)
(fma.f64 c (/.f64 a d) b)
(fma.f64 a (*.f64 (/.f64 #s(literal 1 binary64) d) c) b)
(fma.f64 a (/.f64 c d) b)
(-.f64 (/.f64 (.f64 b b) (-.f64 b (.f64 (/.f64 a d) c))) (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (-.f64 b (*.f64 (/.f64 a d) c))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 a d) c b)))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) c) (.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (neg.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(+.f64 (*.f64 (/.f64 a d) c) b)
(+.f64 b (*.f64 (/.f64 a d) c))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (pow.f64 (/.f64 d a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d a) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) d) a)
(*.f64 #s(literal 1 binary64) (/.f64 a d))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) d))
(*.f64 a (/.f64 #s(literal 1 binary64) d))
(pow.f64 (/.f64 d a) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) a))
(/.f64 #s(literal 1 binary64) (/.f64 d a))
(/.f64 (neg.f64 a) (neg.f64 d))
(/.f64 a d)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d a)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) d)))
(neg.f64 (/.f64 (neg.f64 a) d))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (neg.f64 a) d))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) d))
(exp.f64 (*.f64 (log.f64 (/.f64 d a)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)))
(*.f64 d d)
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1 binary64))
(pow.f64 d #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)))

eval340.0ms (3.7%)

Memory: 11.4MiB live, 436.7MiB allocated
Compiler: Compiled 23 710 to 1 735 computations (92.7% saved)

prune244.0ms (2.7%)

Memory

28.3MiB live, 543.5MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 219	11	1 230
Fresh	7	8	15
Picked	2	3	5
Done	0	2	2
Total	1 228	24	1 252

Accuracy

100.0%

Counts

1 252 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.7%	(/.f64 (fma.f64 c a (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	23.6%	(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 (neg.f64 c) a))) (.f64 (fma.f64 b d (.f64 (neg.f64 c) a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))))
	40.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 d b)))
	44.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
▶	52.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
✓	54.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	20.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
	20.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 d b) c)) c))
✓	41.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	51.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 a d) c b))))
	51.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 a d) c b) (/.f64 #s(literal 1 binary64) d)))
✓	35.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
▶	18.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))
	40.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
▶	43.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	35.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) b) d))
▶	39.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d)))
	27.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)))
✓	44.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))))
	19.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d)))))
	16.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a #s(approx (/ c (+ ( c c) (* d d))) (/.f64 (-.f64 c (.f64 c (.f64 c (/.f64 c (.f64 d d))))) (.f64 d d)))))
▶	32.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d))))
	19.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (.f64 (/.f64 d (.f64 c c)) b)))

Compiler

Compiled 623 to 347 computations (44.3% saved)

simplify185.0ms (2%)

Memory

-1.8MiB live, 166.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
cost-diff	0	(.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d))
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)
cost-diff	0	(fma.f64 c a (*.f64 d b))
cost-diff	0	(/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d))
cost-diff	0	#s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)))
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d))))
cost-diff	0	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff	0	(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff	0	(.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))
cost-diff	0	(/.f64 #s(literal 1 binary64) c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
cost-diff	0	(/.f64 c d)
cost-diff	0	(fma.f64 (/.f64 c d) a b)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
cost-diff	64	(/.f64 (fma.f64 (/.f64 c d) a b) d)

Rules

6 052×	`lower-*.f32`
6 038×	`lower-*.f64`
4 290×	`lower-/.f32`
4 278×	`lower-/.f64`
2 334×	`cube-div`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	39	306
0	56	288
1	83	278
2	104	278
3	180	278
4	220	278
5	248	278
6	291	278
7	427	274
8	528	274
9	758	274
10	1752	274
11	2132	274
12	2279	274
13	2401	274
14	2588	274
15	2878	274
16	4062	274
17	4942	274
18	6019	274
19	6821	274
20	7143	274
21	7185	274
22	7185	274
23	7884	274
0	8047	274

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (1.3%)

Memory

-36.9MiB live, 203.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.6195320408893386	(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
accuracy	3.6584487935439816	(.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d))
accuracy	19.136340651663016	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)
accuracy	28.975582658668873	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d)))
accuracy	0	#s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)))
accuracy	0.7538979928166806	(fma.f64 c a (*.f64 d b))
accuracy	16.325354211250612	(/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d))
accuracy	30.149055472420844	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d))))
accuracy	8.993287927325738	(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy	9.583175658178257	(.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d)
accuracy	26.296914629273882	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	28.975582658668873	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))
accuracy	0	(/.f64 #s(literal 1 binary64) c)
accuracy	0.21875	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
accuracy	35.8854229809886	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
accuracy	0	(/.f64 c d)
accuracy	0.5128014513252428	(/.f64 (fma.f64 (/.f64 c d) a b) d)
accuracy	1.9655153914156689	(fma.f64 (/.f64 c d) a b)
accuracy	30.149055472420844	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))

Samples

100.0ms

256×

valid

Compiler

Compiled 228 to 34 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 27.0ms (53.5% of total)

ival-div: 16.0ms (31.7% of total)

ival-add: 6.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (0.6%)

Memory

22.6MiB live, 142.2MiB allocated

Counts

19 → 720

Calls

Call 1

Inputs
#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 c c))) d)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (.f64 c c))) d) (patch (.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) #<representation binary64>) () ())
#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (.f64 c c))) (patch (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (.f64 c c)) (patch #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d))) (patch #s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)) (patch (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)) #<representation binary64>) () ())
#s(alt (fma.f64 c a (.f64 d b)) (patch (fma.f64 c a (.f64 d b)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d))) #<representation binary64>) () ())
#s(alt (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)) (patch (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) #<representation binary64>) () ())

Outputs
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d))) (patch #s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)) (patch (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)) (patch (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)) (patch (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)) (patch (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (fma.f64 c a (.f64 d b)) (patch (fma.f64 c a (.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 c a (.f64 d b)) (patch (fma.f64 c a (.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 c a (.f64 d b)) (patch (fma.f64 c a (.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 c a (.f64 d b)) (patch (fma.f64 c a (.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (/ 1 d) (taylor -inf d) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) (taylor -inf d) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) (taylor -inf d) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) (taylor -inf d) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d))) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)) (patch (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) (taylor -inf d) (#s(alt (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)) (patch (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) (taylor -inf d) (#s(alt (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)) (patch (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) (taylor -inf d) (#s(alt (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)) (patch (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) d)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	((/ (+ (* (/ c d) a) b) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ c d) a) b) (/ c d) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (/ (+ (* c a) (* d b)) (* d d)) (+ (* c a) (* d b)) (* (/ 1 (+ (* d d) (* c c))) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (* (/ 1 (+ (* d d) (* c c))) d)) (/ 1 (+ (* d d) (* c c))))
2.0ms	c	@	-inf	((/ (+ (* (/ c d) a) b) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ c d) a) b) (/ c d) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (/ (+ (* c a) (* d b)) (* d d)) (+ (* c a) (* d b)) (* (/ 1 (+ (* d d) (* c c))) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (* (/ 1 (+ (* d d) (* c c))) d)) (/ 1 (+ (* d d) (* c c))))
2.0ms	d	@	-inf	((/ (+ (* (/ c d) a) b) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ c d) a) b) (/ c d) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (/ (+ (* c a) (* d b)) (* d d)) (+ (* c a) (* d b)) (* (/ 1 (+ (* d d) (* c c))) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (* (/ 1 (+ (* d d) (* c c))) d)) (/ 1 (+ (* d d) (* c c))))
2.0ms	c	@	inf	((/ (+ (* (/ c d) a) b) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ c d) a) b) (/ c d) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (/ (+ (* c a) (* d b)) (* d d)) (+ (* c a) (* d b)) (* (/ 1 (+ (* d d) (* c c))) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (* (/ 1 (+ (* d d) (* c c))) d)) (/ 1 (+ (* d d) (* c c))))
2.0ms	b	@	-inf	((/ (+ (* (/ c d) a) b) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ c d) a) b) (/ c d) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (/ (+ (* c a) (* d b)) (* d d)) (+ (* c a) (* d b)) (* (/ 1 (+ (* d d) (* c c))) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (* (/ 1 (+ (* d d) (* c c))) d)) (/ 1 (+ (* d d) (* c c))))

simplify288.0ms (3.1%)

Memory

-15.8MiB live, 278.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 498×	`lower-fma.f64`
8 498×	`lower-fma.f32`
5 368×	`lower-*.f64`
5 368×	`lower-*.f32`
2 722×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	9656
1	1493	9482
2	4403	9290
0	8239	8665

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 714

Calls

Call 1

Inputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ 1 (pow d 2))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
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b
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b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
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b
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(/ a c)
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(/ c d)
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(/ c d)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (* b d) (pow c 2))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(/ b (pow c 2))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ d (pow c 2))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (* b d) (pow c 2))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(/ 1 (pow c 2))
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ b (pow d 2))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(/ 1 d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/ b (pow d 2))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(/ 1 d)
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))

Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 (neg.f64 d) d) d)) b (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) (.f64 d d))) a (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (.f64 d d))) c (/.f64 b d))
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 (neg.f64 d) d) d)) b (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) (.f64 d d))) a (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (.f64 d d))) c (/.f64 b d))
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 (neg.f64 d) d) d)) b (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) (.f64 d d))) a (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (.f64 d d)) #s(literal 1 binary64)) d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (.f64 (.f64 c c) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (.f64 (.f64 d d) d))) (*.f64 c c) (/.f64 b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 7 binary64))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (.f64 c c)) (/.f64 b (.f64 (.f64 d d) d))) (.f64 c c) (/.f64 b d))
(/ b (pow d 2))
(/.f64 b (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(/.f64 (.f64 (neg.f64 b) (fma.f64 c (/.f64 c (.f64 d d)) #s(literal -1 binary64))) (*.f64 d d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (.f64 (.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (.f64 (.f64 d d) (.f64 d d)))) (.f64 c c) (/.f64 b (*.f64 d d)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (.f64 c c)) (/.f64 b (.f64 (.f64 d d) (.f64 d d)))) (.f64 c c) (/.f64 b (.f64 d d)))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 (neg.f64 d) d) d)) b (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) (.f64 d d))) a (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d)
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 d d) d))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64)))) (.f64 c c) (/.f64 #s(literal -1 binary64) (.f64 (.f64 d d) d))) (.f64 c c) (/.f64 #s(literal 1 binary64) d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 (neg.f64 d) d) d)) b (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (.f64 (.f64 d d) (.f64 d d))) a (/.f64 b (.f64 (.f64 d d) d)))) c (/.f64 a (.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (.f64 d d)) #s(literal 1 binary64)) d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (.f64 (.f64 c c) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (.f64 (.f64 d d) d))) (*.f64 c c) (/.f64 b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 7 binary64))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (.f64 c c)) (/.f64 b (.f64 (.f64 d d) d))) (.f64 c c) (/.f64 b d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (.f64 d d)) #s(literal 1 binary64)) (.f64 d d))
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(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 c (/.f64 c (neg.f64 d))) b (.f64 c a)) d) b) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b (.f64 d d)) (fma.f64 (/.f64 a d) (-.f64 c (/.f64 (.f64 (.f64 c c) c) (*.f64 d d))) b)) d)
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* b d)
(*.f64 d b)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/.f64 (-.f64 (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (.f64 c (/.f64 c (.f64 d d))) (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))))) d)
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 c (/.f64 c (neg.f64 d))) b (.f64 c a)) d) b) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b (.f64 d d)) (fma.f64 (/.f64 a d) (-.f64 c (/.f64 (.f64 (.f64 c c) c) (*.f64 d d))) b)) d)
(/ b d)
(/.f64 b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (.f64 d d)) #s(literal 1 binary64)) d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (.f64 b (-.f64 (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (fma.f64 c (/.f64 c (.f64 d d)) #s(literal -1 binary64)))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 b (-.f64 (fma.f64 c (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (*.f64 d d)))) (neg.f64 b)) (neg.f64 d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (.f64 d d)) #s(literal 1 binary64)) (.f64 d d))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (fma.f64 c (/.f64 c (.f64 d d)) #s(literal -1 binary64))) (.f64 d d))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (.f64 c (/.f64 c (.f64 d d))) (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))))) (*.f64 d d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 c (/.f64 c (neg.f64 d))) b (.f64 c a)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (.f64 c c) b (/.f64 (.f64 (.f64 (.f64 c c) c) a) d)) (neg.f64 d))) d) b) d)
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 c (/.f64 c (neg.f64 d))) b (.f64 c a)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (.f64 c c) b (/.f64 (.f64 (.f64 (.f64 c c) c) a) d)) (neg.f64 d))) d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 c (/.f64 c (neg.f64 d))) b (.f64 c a)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (.f64 c c) b (/.f64 (.f64 (.f64 (.f64 c c) c) a) d)) (neg.f64 d))) d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (.f64 d d)) #s(literal 1 binary64)) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (.f64 b (-.f64 (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (fma.f64 c (/.f64 c (.f64 d d)) #s(literal -1 binary64)))) d)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/.f64 (fma.f64 b (-.f64 (fma.f64 c (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (*.f64 d d)))) (neg.f64 b)) (neg.f64 d))
(/ b (pow d 2))
(/.f64 b (*.f64 d d))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (.f64 (neg.f64 b) (fma.f64 c (/.f64 c (.f64 d d)) #s(literal -1 binary64))) (*.f64 d d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/.f64 (.f64 b (-.f64 (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (fma.f64 c (/.f64 c (.f64 d d)) #s(literal -1 binary64)))) (*.f64 d d))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (neg.f64 (fma.f64 b (-.f64 (fma.f64 c (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d)))) (neg.f64 b))) (.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 c (/.f64 c (neg.f64 d))) b (.f64 c a)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (.f64 c c) b (/.f64 (.f64 (.f64 (.f64 c c) c) a) d)) (neg.f64 d))) d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* b d)
(*.f64 d b)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d)
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d)
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (.f64 c (/.f64 c (.f64 d d))) (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))))) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 c (/.f64 c (neg.f64 d))) b (.f64 c a)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (.f64 c c) b (/.f64 (.f64 (.f64 (.f64 c c) c) a) d)) (neg.f64 d))) d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (.f64 d d)) #s(literal 1 binary64)) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (.f64 b (-.f64 (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (fma.f64 c (/.f64 c (.f64 d d)) #s(literal -1 binary64)))) d)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/.f64 (fma.f64 b (-.f64 (fma.f64 c (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (*.f64 d d)))) (neg.f64 b)) (neg.f64 d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (.f64 d d)) #s(literal 1 binary64)) (.f64 d d))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))) (fma.f64 c (/.f64 c (.f64 d d)) #s(literal -1 binary64))) (.f64 d d))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (.f64 c (/.f64 c (.f64 d d))) (/.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d))))) (*.f64 d d))

rewrite454.0ms (4.9%)

Memory

19.6MiB live, 321.7MiB allocated

Rules

9 972×	`lower-fma.f32`
9 966×	`lower-fma.f64`
6 598×	`lower-*.f32`
6 584×	`lower-*.f64`
3 434×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	270
0	56	254
1	223	244
2	1174	244
0	8734	244

Stop Event

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

Counts

19 → 564

Calls

Call 1

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

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

eval284.0ms (3.1%)

Memory: -15.3MiB live, 308.8MiB allocated
Compiler: Compiled 26 789 to 1 790 computations (93.3% saved)

prune292.0ms (3.2%)

Memory

7.9MiB live, 447.1MiB allocated

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	1 274	4	1 278
Fresh	2	12	14
Picked	1	4	5
Done	0	5	5
Total	1 277	25	1 302

Accuracy

100.0%

Counts

1 302 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.7%	(/.f64 (fma.f64 c a (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	23.6%	(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 (neg.f64 c) a))) (.f64 (fma.f64 b d (.f64 (neg.f64 c) a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))))
	40.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 d b)))
	44.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
✓	52.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
✓	54.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	20.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
	20.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 d b) c)) c))
✓	41.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	51.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 a d) c b))))
	51.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 a d) c b) (/.f64 #s(literal 1 binary64) d)))
	19.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c))) b))
✓	35.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
✓	18.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))
	40.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
✓	43.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	35.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) b) d))
	27.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)))
	19.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)))
✓	44.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))))
	19.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d)))))
	16.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a #s(approx (/ c (+ ( c c) (* d d))) (/.f64 (-.f64 c (.f64 c (.f64 c (/.f64 c (.f64 d d))))) (.f64 d d)))))
✓	32.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 d d))))
	18.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (/.f64 #s(approx (+ (* c a) (* d b)) (.f64 c a)) (.f64 d d))))

Compiler

Compiled 917 to 337 computations (63.2% saved)

regimes73.0ms (0.8%)

Memory

-5.5MiB live, 126.2MiB allocated

Counts

46 → 5

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))

Calls

5 calls:

16.0ms	c
15.0ms	a
14.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
13.0ms	b
13.0ms	d

Results

Accuracy	Segments	Branch
69.8%	4	`a`
73.2%	6	`b`
81.5%	4	`c`
86.8%	5	`d`
77.7%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes13.0ms (0.1%)

Memory

-16.5MiB live, 21.9MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
82.1%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
81.7%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes35.0ms (0.4%)

Memory

-4.0MiB live, 35.2MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

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

Calls

3 calls:

19.0ms	c
7.0ms	d
7.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
63.5%	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
73.9%	3	`c`
72.0%	3	`d`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes50.0ms (0.5%)

Memory

16.5MiB live, 58.9MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	d
7.0ms	b
7.0ms	a
7.0ms	c

Results

Accuracy	Segments	Branch
61.5%	4	`a`
57.0%	4	`b`
66.6%	3	`d`
67.7%	4	`c`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-19.2MiB live, 18.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	d
1.0ms	c
1.0ms	b
1.0ms	a
1.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
43.9%	1	`b`
43.9%	1	`a`
43.9%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
43.9%	1	`c`
43.9%	1	`d`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch69.0ms (0.8%)

Memory

2.8MiB live, 123.7MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.2475827963831056e+68	8.772340448583991e+77
14.0ms	6.148588538916213e-133	1.7804166606081775e-130
16.0ms	-8.411075412977613e-72	-2.0063370814988523e-84
18.0ms	-2.066638926864659e+56	-1.894523207218303e+38

Samples

41.0ms

592×

valid

Compiler

Compiled 1 280 to 758 computations (40.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 14.0ms (58% of total)

ival-add: 6.0ms (24.8% of total)

ival-div: 3.0ms (12.4% of total)

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

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

bsearch40.0ms (0.4%)

Memory

7.7MiB live, 46.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.2086925854502e+120	4.151402034894273e+129
23.0ms	-566.2468719161059	-2.720982543509952e-8

Samples

26.0ms

304×

valid

Compiler

Compiled 554 to 322 computations (41.9% saved)

Precisions

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

ival-mult: 7.0ms (61% of total)

ival-div: 2.0ms (17.4% of total)

ival-add: 2.0ms (17.4% of total)

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

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

bsearch2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.2086925854502e+120	4.151402034894273e+129
1.0ms	-566.2468719161059	-2.720982543509952e-8

Compiler

Compiled 554 to 322 computations (41.9% saved)

bsearch43.0ms (0.5%)

Memory

-19.3MiB live, 57.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.144576049789536e-14	2.7386760296914094e-10
25.0ms	-5.022142724631017e+40	-3.7052591287674826e+35

Samples

18.0ms

272×

valid

Compiler

Compiled 429 to 272 computations (36.6% saved)

Precisions

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

ival-mult: 7.0ms (67.2% of total)

ival-add: 2.0ms (19.2% of total)

ival-div: 1.0ms (9.6% of total)

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

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

bsearch23.0ms (0.3%)

Memory

-3.3MiB live, 37.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.3343318996953777e+98	7.2086925854502e+120
0.0ms	-1.4489588859034844e+57	-1.4062590930725402e+57

Samples

15.0ms

176×

valid

Compiler

Compiled 220 to 150 computations (31.8% saved)

Precisions

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

ival-add: 5.0ms (47% of total)

ival-mult: 4.0ms (37.6% of total)

ival-div: 1.0ms (9.4% of total)

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

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

simplify8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	434
1	81	434

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -42999999999999999708500792997550002987853463003594752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2734063405978765/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 8291364149639275/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 749999999999999954948198658979588414768865488531867181210753525977726949785600 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -8070450532247929/2305843009213693952 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7500000000000000566744330102353856240897568728629732885341421453818644277702227749399319539626445820041618410772354826240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -8070450532247929/2305843009213693952 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 7500000000000000566744330102353856240897568728629732885341421453818644277702227749399319539626445820041618410772354826240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 c #s(literal -10199999999999999657041806403643985887232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 6313494200355439/2475880078570760549798248448 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))))
(if (<=.f64 d #s(literal -1419999999999999995477982621407588678526245099037094051840 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 97999999999999993399273981408409870728195915267884349721748286046942830709657613492574007999521095680 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Outputs
(if (<=.f64 d #s(literal -42999999999999999708500792997550002987853463003594752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2734063405978765/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 8291364149639275/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 749999999999999954948198658979588414768865488531867181210753525977726949785600 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -42999999999999999708500792997550002987853463003594752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2734063405978765/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (if (<=.f64 d #s(literal 8291364149639275/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 749999999999999954948198658979588414768865488531867181210753525977726949785600 binary64)) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -8070450532247929/2305843009213693952 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7500000000000000566744330102353856240897568728629732885341421453818644277702227749399319539626445820041618410772354826240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -8070450532247929/2305843009213693952 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 7500000000000000566744330102353856240897568728629732885341421453818644277702227749399319539626445820041618410772354826240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 c #s(literal -10199999999999999657041806403643985887232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 6313494200355439/2475880078570760549798248448 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))))
(if (<=.f64 d #s(literal -1419999999999999995477982621407588678526245099037094051840 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 97999999999999993399273981408409870728195915267884349721748286046942830709657613492574007999521095680 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

soundness518.0ms (5.6%)

Memory

19.1MiB live, 493.5MiB allocated

Rules

7 644×	`lower-fma.f64`
7 644×	`lower-fma.f32`
6 228×	`lower-*.f64`
6 228×	`lower-*.f32`
6 058×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1428
1	618	1418
2	1890	1394
3	5760	1392
0	8315	1262
0	11	35
0	18	35
1	58	35
2	435	35
3	5073	35
0	8760	31
0	975	12205
1	3317	11879
0	8076	11174

Stop Event

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

Compiler

Compiled 455 to 193 computations (57.6% saved)

preprocess51.0ms (0.6%)

Memory: -19.6MiB live, 96.0MiB allocated
Compiler: Compiled 514 to 174 computations (66.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze26.0ms (0.3%)

sample971.0ms (10.6%)

explain150.0ms (1.6%)

preprocess325.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize28.0ms (0.3%)

series32.0ms (0.4%)

simplify119.0ms (1.3%)

rewrite194.0ms (2.1%)

eval53.0ms (0.6%)

prune84.0ms (0.9%)

simplify135.0ms (1.5%)

localize314.0ms (3.4%)

series154.0ms (1.7%)

simplify285.0ms (3.1%)

rewrite658.0ms (7.2%)

eval942.0ms (10.3%)

prune872.0ms (9.5%)

simplify6.0ms (0.1%)

localize83.0ms (0.9%)

series103.0ms (1.1%)

simplify252.0ms (2.7%)

rewrite191.0ms (2.1%)

eval340.0ms (3.7%)

prune244.0ms (2.7%)

simplify185.0ms (2%)

localize121.0ms (1.3%)

series53.0ms (0.6%)

simplify288.0ms (3.1%)

rewrite454.0ms (4.9%)

eval284.0ms (3.1%)

prune292.0ms (3.2%)

regimes73.0ms (0.8%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes35.0ms (0.4%)

regimes50.0ms (0.5%)

regimes9.0ms (0.1%)

bsearch69.0ms (0.8%)

bsearch40.0ms (0.4%)

bsearch2.0ms (0%)

bsearch43.0ms (0.5%)

bsearch23.0ms (0.3%)

simplify8.0ms (0.1%)

soundness518.0ms (5.6%)

preprocess51.0ms (0.6%)

end0.0ms (0%)

Profiling