Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze50.0ms (0.5%)

Memory

-24.7MiB live, 14.7MiB 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)

sample1.2s (12.4%)

Memory

19.0MiB live, 1 402.0MiB allocated

Samples

884.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 599.0ms

ival-add: 308.0ms (51.4% of total)

ival-mult: 234.0ms (39% of total)

ival-div: 49.0ms (8.2% of total)

ival-true: 6.0ms (1% of total)

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

Bogosity

explain149.0ms (1.6%)

Memory

11.8MiB live, 260.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
98	-	-	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
1	-	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	-	`a`
0	-	-	`d`
0	-	-	`(*.f64 d d)`
0	-	-	`(*.f64 c c)`
0	-	-	`(*.f64 a c)`
0	-	-	`c`
0	-	-	`b`
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	55	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	63
↳	`(*.f64 a c)`	overflow	32
↳	`(*.f64 b d)`	overflow	35
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	118
↳	`(*.f64 c c)`	overflow	69
↳	`(*.f64 d d)`	overflow	69
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	27	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	118
↳	`(*.f64 c c)`	overflow	69
↳	`(*.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	63
↳	`(*.f64 a c)`	overflow	32
↳	`(*.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	60
↳	`(*.f64 d d)`	underflow	72
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	3	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	4
↳	`(*.f64 a c)`	underflow	28
↳	`(*.f64 b d)`	underflow	38
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	1	0
↳	`(*.f64 a c)`	overflow	32
↳	`(*.f64 b d)`	overflow	35
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	1	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	4
↳	`(*.f64 a c)`	underflow	28
↳	`(*.f64 b d)`	underflow	38
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	12
↳	`(*.f64 c c)`	underflow	60
↳	`(*.f64 d d)`	underflow	72

Confusion

	Predicted +	Predicted -
+	98	0
-	0	158

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	98	0	0
-	0	0	158

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	158
1	97
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions

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

ival-mult: 23.0ms (73.8% of total)

ival-add: 4.0ms (12.8% of total)

ival-div: 3.0ms (9.6% of total)

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

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

preprocess319.0ms (3.3%)

Memory

-1.9MiB live, 36.7MiB 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 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.7%	(/.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

9.0MiB live, 9.0MiB 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 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))
(fma.f64 a c (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (.f64 c c) (.f64 d d))
(fma.f64 c c (*.f64 d d))
(*.f64 c c)
(*.f64 d d)

localize32.0ms (0.3%)

Memory

-4.8MiB live, 72.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b d)
accuracy	0	(*.f64 a c)
accuracy	0.23046875000000003	(+.f64 (.f64 a c) (.f64 b d))
accuracy	22.956725431278645	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

22.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 8.0ms (66.3% of total)

ival-div: 2.0ms (16.6% of total)

ival-add: 2.0ms (16.6% of total)

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

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

series29.0ms (0.3%)

Memory

-1.7MiB live, 39.3MiB allocated

Counts

5 → 168

Calls

Call 1

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

Outputs
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>

Calls

42 calls:

Time	Variable		Point	Expression
12.0ms	d	@	inf	(+ (* c c) (* d d))
3.0ms	d	@	0	(+ (* c c) (* d d))
1.0ms	c	@	0	(* a c)
1.0ms	c	@	inf	(+ (* c c) (* d d))
1.0ms	a	@	0	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify221.0ms (2.3%)

Memory

-13.4MiB live, 215.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 676×	`lower-fma.f64`
7 676×	`lower-fma.f32`
4 326×	`lower-*.f64`
4 326×	`lower-*.f32`
1 822×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1428
1	618	1418
2	1892	1394
3	5763	1392
0	8185	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))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) 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)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) 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)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* 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)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) 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 c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (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) (+ 1 (/ (pow d 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))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 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))))
(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) (+ (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) (* 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)))
(* -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))))))))
(/ 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 (/ (* 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)
(* -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 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))) (/ (* 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)))
(* -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))))))))
(/ 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 (/ (* 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)
(* -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)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)

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

rewrite270.0ms (2.8%)

Memory

7.7MiB live, 360.1MiB 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 a c) (.f64 b d))
(+.f64 (.f64 b d) (.f64 a c))
(+.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d)))))
(+.f64 (neg.f64 (.f64 b (neg.f64 d))) (neg.f64 (.f64 a (neg.f64 c))))
(+.f64 (neg.f64 (.f64 a (neg.f64 c))) (neg.f64 (.f64 b (neg.f64 d))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))))
(-.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (fma.f64 b d (.f64 a (neg.f64 c)))) (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b d (.f64 a (neg.f64 c)))))
(fma.f64 a c (*.f64 b d))
(fma.f64 a (/.f64 (.f64 a (.f64 c c)) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 c a (*.f64 b d))
(fma.f64 c (/.f64 (.f64 a (.f64 a c)) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 b d))
(fma.f64 (.f64 a c) (/.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 d (exp.f64 (log.f64 b)) (*.f64 a c))
(fma.f64 (.f64 c c) (/.f64 (.f64 a a) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d)))))
(fma.f64 (.f64 a a) (/.f64 (.f64 c c) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (.f64 a (.f64 c c)) (/.f64 a (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (.f64 a (.f64 a c)) (/.f64 c (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (fma.f64 a c (.f64 b d)) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 (.f64 b d) (fma.f64 a c (.f64 b d)))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 b d))
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 a c))
(neg.f64 (neg.f64 (fma.f64 a c (*.f64 b d))))
(/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d)))))
(/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (.f64 a (neg.f64 c))) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c))))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (neg.f64 (-.f64 (.f64 a c) (.f64 b d)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))))
(/.f64 (neg.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (neg.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (fma.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c)))) (fma.f64 b d (.f64 a (neg.f64 c))))
(/.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (*.f64 d d)))))))
(/.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (fma.f64 (.f64 b (.f64 b (.f64 d d))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c))))))))
(/.f64 (.f64 (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c)))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b (.f64 b (.f64 d d))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c)))))) (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))))
(/.f64 (.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) #s(literal 1 binary64)) (neg.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c)))) #s(literal 1 binary64)) (fma.f64 b d (*.f64 a (neg.f64 c))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))))) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))))) (neg.f64 (neg.f64 (-.f64 (.f64 a c) (.f64 b d)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c))))) (neg.f64 (fma.f64 b d (.f64 a (neg.f64 c)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d)))) (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d)))) (.f64 (.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d)))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))))) (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))) (.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d)))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))))) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))))) (fma.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c)))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (*.f64 d d))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d)))) (fma.f64 (.f64 b (.f64 b (.f64 d d))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c)))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d)))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))))
(pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b d (.f64 a (neg.f64 c))) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c))))) #s(literal -1 binary64))
(.f64 (fma.f64 a c (.f64 b d)) #s(literal 1 binary64))
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))))
(.f64 (fma.f64 a c (.f64 b d)) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (*.f64 b d)))))
(.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))))
(.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))))
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(.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 c c (.f64 d d)) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))))))
(.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (*.f64 d d))))
(.f64 (.f64 (+.f64 c d) (-.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c c (.f64 d d))))
(.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 c c (.f64 d d)) (-.f64 (.f64 a c) (*.f64 b d)))))
(.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))))
(.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a c (.f64 b d)) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (fma.f64 a c (*.f64 b d)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))) (neg.f64 (fma.f64 a c (*.f64 b d))))
(.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 c c (.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(.f64 (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c c (.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d)))))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (.f64 (+.f64 c d) (-.f64 c d)))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (.f64 (fma.f64 a c (.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))))
(.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d)))))))
(.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(.f64 (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (/.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (.f64 b d)))) (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)))))) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d)))
(.f64 (.f64 (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (+.f64 c d)) (-.f64 c d))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))))
(.f64 (/.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (neg.f64 (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d))))))
(.f64 (/.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (.f64 (+.f64 c d) (-.f64 c d))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (neg.f64 (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)))))) (neg.f64 (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d))))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (neg.f64 (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (.f64 (+.f64 c d) (-.f64 c d))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 d c)))) (.f64 (+.f64 c d) (-.f64 d c)))
(.f64 (/.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 c c (.f64 d d))) (fma.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 (fma.f64 b d (.f64 a (neg.f64 c))) (fma.f64 b d (.f64 a (neg.f64 c)))) (fma.f64 b d (.f64 a (neg.f64 c)))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))))) (fma.f64 (.f64 b (.f64 d (fma.f64 b d (.f64 a (neg.f64 c))))) (-.f64 (.f64 b (.f64 d (fma.f64 b d (.f64 a (neg.f64 c))))) (.f64 a (.f64 a (.f64 c c)))) (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c)))))))
(.f64 (/.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 c c (.f64 d d))) (.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 b (.f64 d (fma.f64 b d (.f64 a (neg.f64 c)))))))) (-.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 b (.f64 d (fma.f64 b d (.f64 a (neg.f64 c)))))))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c c (.f64 d d))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (fma.f64 a c (*.f64 b d)))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c c (.f64 d d))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 (.f64 b d) (fma.f64 a c (*.f64 b d)))))
(exp.f64 (log.f64 (*.f64 a c)))
(exp.f64 (.f64 (log.f64 (.f64 a c)) #s(literal 1 binary64)))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(*.f64 a c)
(*.f64 c a)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) c)
(exp.f64 (log.f64 (*.f64 b d)))
(exp.f64 (.f64 (log.f64 (.f64 b d)) #s(literal 1 binary64)))
(pow.f64 (*.f64 b d) #s(literal 1 binary64))
(*.f64 b d)
(*.f64 d b)
(*.f64 d (exp.f64 (log.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) d)

eval55.0ms (0.6%)

Memory: 25.7MiB live, 101.9MiB allocated
Compiler: Compiled 17 875 to 1 042 computations (94.2% saved)

prune70.0ms (0.7%)

Memory

-8.2MiB live, 149.6MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	502	12	514
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	503	12	515

Accuracy

99.4%

Counts

515 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.7%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
	39.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c c (*.f64 d d)))))
	26.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (.f64 (fma.f64 a c (.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))))
	38.8%	(.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))))
	63.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c)))))
	56.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
▶	54.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
▶	48.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d))
	39.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
▶	44.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
	43.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	46.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Compiler

Compiled 482 to 234 computations (51.5% saved)

simplify358.0ms (3.7%)

Memory

17.2MiB live, 212.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

6 908×	`lower-fma.f32`
6 898×	`lower-fma.f64`
2 932×	`lower-*.f32`
2 922×	`lower-*.f64`
1 568×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	255
0	54	255
1	78	255
2	107	250
3	195	245
4	311	245
5	422	245
6	630	245
7	926	245
8	1310	245
9	1943	245
10	3513	245
11	4940	245
12	5406	245
13	5697	245
14	5717	245
15	5732	245
16	5740	245
17	5908	245
18	6013	245
19	6081	245
20	6081	245
21	6768	245
22	7232	245
23	7373	245
24	7615	245
0	8023	242

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.4%)

Memory

-4.7MiB live, 90.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.49722263897239	(fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c))
accuracy	5.977763409908105	(/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)
accuracy	6.799803370874325	(/.f64 (*.f64 c (neg.f64 c)) d)
accuracy	29.904840900338726	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d))
accuracy	0	(/.f64 c d)
accuracy	1.230599871162038	(/.f64 (fma.f64 a (/.f64 c d) b) d)
accuracy	3.534926658634327	(fma.f64 a (/.f64 c d) b)
accuracy	28.80227432340406	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
accuracy	0	(*.f64 c c)
accuracy	0	(*.f64 a c)
accuracy	14.670891862241264	(/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))
accuracy	25.148866094441694	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
accuracy	0	(/.f64 a c)
accuracy	34.269312285112605	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0	(*.f64 d d)
accuracy	0	(*.f64 b d)
accuracy	0.2539034976055602	(fma.f64 a c (*.f64 b d))
accuracy	22.956725431278645	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Samples

93.0ms

256×

valid

Compiler

Compiled 235 to 28 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-div: 57.0ms (75.2% of total)

ival-mult: 10.0ms (13.2% of total)

ival-add: 7.0ms (9.2% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series63.0ms (0.7%)

Memory

1.6MiB live, 39.7MiB allocated

Counts

22 → 804

Calls

Call 1

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

Outputs
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
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#<alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))>
#<alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))>
#<alt (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))>
#<alt (+ b (* -1 (/ (* b (pow c 2)) (pow d 2))))>
#<alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))>
#<alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))>
#<alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))>
#<alt (/ (* a c) d)>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ (* a c) (pow d 2))>
#<alt (+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))>
#<alt (+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))>
#<alt (+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))>
#<alt (/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))>
#<alt (* -1 (/ (* b (- (/ (pow c 2) (pow d 2)) 1)) d))>
#<alt (* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))>
#<alt (* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))>
#<alt (* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 3)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 3)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 3)))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))>
#<alt (* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))>
#<alt (* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (* -1 (/ (pow c 2) d))>
#<alt (/ (* a c) d)>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))>
#<alt (/ (* a c) d)>
#<alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))>
#<alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))>
#<alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))>
#<alt (/ (* a c) d)>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)>
#<alt (/ (* a c) d)>
#<alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))>
#<alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))>
#<alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))>

Calls

201 calls:

Time	Variable		Point	Expression
23.0ms	a	@	inf	(/ (* a c) (+ (* d d) (* c c)))
3.0ms	d	@	inf	(/ (+ (* a (/ c d)) b) d)
1.0ms	a	@	0	(/ (* a c) (+ (* d d) (* c c)))
1.0ms	d	@	0	(/ (* a c) (+ (* d d) (* c c)))
1.0ms	d	@	0	(/ (* c (neg c)) d)

simplify345.0ms (3.6%)

Memory

21.6MiB live, 244.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 380×	`lower-fma.f64`
10 380×	`lower-fma.f32`
5 658×	`lower-*.f64`
5 658×	`lower-*.f32`
2 038×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	456	9954
1	1513	9590
2	4816	9376
0	8227	8824

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 795

Calls

Call 1

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

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

rewrite553.0ms (5.7%)

Memory

-46.6MiB live, 408.9MiB allocated

Rules

4 872×	`lower-/.f32`
4 856×	`lower-/.f64`
4 700×	`lower-fma.f32`
4 690×	`lower-fma.f64`
3 882×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	229
0	54	229
1	196	229
2	1438	229
0	8352	229

Stop Event

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

Counts

22 → 675

Calls

Call 1

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

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

eval247.0ms (2.6%)

Memory: 25.1MiB live, 411.3MiB allocated
Compiler: Compiled 36 633 to 2 258 computations (93.8% saved)

prune178.0ms (1.8%)

Memory

8.3MiB live, 341.8MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1 484	16	1 500
Fresh	5	2	7
Picked	4	1	5
Done	0	0	0
Total	1 493	19	1 512

Accuracy

99.4%

Counts

1 512 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.3%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	39.8%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	53.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	53.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) d) b) d))
	56.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	21.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) #s(approx (+ ( d d) (* c c)) (*.f64 d d))))
	41.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) #s(approx (+ ( d d) (* c c)) (.f64 c (.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))))))
	32.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) #s(approx (+ ( d d) (* c c)) (*.f64 c c))))
	22.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d))
	42.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))) d))
▶	43.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	46.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
✓	46.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	54.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b))))
	54.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d)))
	46.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
▶	41.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 d d (.f64 c c)))))
▶	60.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (fma.f64 b (/.f64 d (.f64 (fma.f64 d d (.f64 c c)) a)) (/.f64 c (fma.f64 d d (.f64 c c))))))
	36.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (.f64 c a)) (.f64 d d))))

Compiler

Compiled 558 to 299 computations (46.4% saved)

simplify281.0ms (2.9%)

Memory

11.9MiB live, 198.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 c c (*.f64 d d))
cost-diff	0	(/.f64 (fma.f64 c c (*.f64 d d)) c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
cost-diff	384	(/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))
cost-diff	0	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
cost-diff	0	(*.f64 b d)
cost-diff	0	(fma.f64 a c (*.f64 b d))
cost-diff	0	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
cost-diff	0	(fma.f64 d d (*.f64 c c))
cost-diff	0	(/.f64 d (fma.f64 d d (*.f64 c c)))
cost-diff	0	(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 d d (.f64 c c)))))
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 (.f64 (fma.f64 d d (.f64 c c)) a))
cost-diff	0	(fma.f64 b (/.f64 d (.f64 (fma.f64 d d (.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (fma.f64 b (/.f64 d (.f64 (fma.f64 d d (.f64 c c)) a)) (/.f64 c (fma.f64 d d (.f64 c c))))))
cost-diff	1728	(.f64 a (fma.f64 b (/.f64 d (.f64 (fma.f64 d d (.f64 c c)) a)) (/.f64 c (fma.f64 d d (.f64 c c)))))

Rules

5 576×	`lower-*.f32`
5 564×	`lower-*.f64`
3 176×	`lower-/.f32`
3 162×	`lower-/.f64`
2 176×	`cube-prod`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	290
0	51	281
1	75	281
2	116	281
3	204	275
4	304	275
5	333	272
6	738	272
7	2294	272
8	3071	272
9	3501	272
10	3548	272
11	3578	272
12	3608	272
13	3635	272
14	4464	272
15	4663	272
16	4723	272
17	4829	272
18	4990	272
19	5208	272
20	5486	272
21	5833	272
22	6247	272
23	6727	272
24	7087	272
25	7336	272
26	7450	272
27	7564	272
28	7678	272
0	8057	272

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

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

localize198.0ms (2.1%)

Memory

-25.0MiB live, 179.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 d d)
accuracy	1.9542342406563122	(/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))
accuracy	18.87068675366952	(/.f64 (fma.f64 c c (*.f64 d d)) c)
accuracy	25.148866094441694	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
accuracy	0	(*.f64 b d)
accuracy	0.2539034976055602	(fma.f64 a c (*.f64 b d))
accuracy	22.956725431278645	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
accuracy	26.987795779424783	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	0	(*.f64 c c)
accuracy	1.537731783002532	(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
accuracy	17.854477016257796	(/.f64 d (fma.f64 d d (*.f64 c c)))
accuracy	26.260658697015394	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 d d (.f64 c c)))))
accuracy	0	(/.f64 b d)
accuracy	36.40464056811343	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy	3.6612155660946697	(fma.f64 b (/.f64 d (.f64 (fma.f64 d d (.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))
accuracy	8.456192311135387	(.f64 (fma.f64 d d (.f64 c c)) a)
accuracy	10.339562447565415	(/.f64 d (.f64 (fma.f64 d d (.f64 c c)) a))
accuracy	18.903962243850096	(/.f64 c (fma.f64 d d (*.f64 c c)))

Samples

78.0ms

256×

valid

Compiler

Compiled 263 to 25 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 43.0ms (73.8% of total)

ival-div: 11.0ms (18.9% of total)

ival-add: 4.0ms (6.9% of total)

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

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

series137.0ms (1.4%)

Memory

0.9MiB live, 87.6MiB allocated

Counts

22 → 744

Calls

Call 1

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

Outputs
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (+ (* -1 (/ a (pow c 3))) (* -1 (/ (* b d) (pow c 4))))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (+ (* -1 (/ b (pow d 3))) (* -1 (/ (* a c) (pow d 4))))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ c (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (* b (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (* b (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ 1 c)>
#<alt (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))>
#<alt (+ (* d (+ (* -1 (/ d (pow c 3))) (/ b (* a (pow c 2))))) (/ 1 c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (* a (pow c 4)))) (/ 1 (pow c 3)))) (/ b (* a (pow c 2))))) (/ 1 c))>
#<alt (/ b (* a d))>
#<alt (/ (+ (/ b a) (/ c d)) d)>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))) d)>
#<alt (/ (- (+ (* -1 (/ (pow c 3) (pow d 3))) (+ (/ b a) (/ c d))) (/ (* b (pow c 2)) (* a (pow d 2)))) d)>
#<alt (/ b (* a d))>
#<alt (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ c d))) d))>
#<alt (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ c (* -1 (/ (* b (pow c 2)) (* a d)))) d))) d))>
#<alt (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ c (* -1 (/ (+ (/ (* b (pow c 2)) a) (/ (pow c 3) d)) d))) d))) d))>
#<alt (/ b (* a d))>
#<alt (+ (/ b (* a d)) (/ c (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (* a (pow d 3)))) (/ 1 (pow d 2)))) (/ b (* a d)))>
#<alt (+ (* c (+ (* c (- (* -1 (/ c (pow d 4))) (/ b (* a (pow d 3))))) (/ 1 (pow d 2)))) (/ b (* a d)))>
#<alt (/ 1 c)>
#<alt (/ (+ 1 (/ (* b d) (* a c))) c)>
#<alt (/ (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))) c)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 3)))) (/ (* b d) (* a c)))) (/ (pow d 2) (pow c 2))) c)>
#<alt (/ 1 c)>
#<alt (* -1 (/ (- (* -1 (/ (* b d) (* a c))) 1) c))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)) c)) 1) c))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (* b (pow d 3)) (* a c)) (pow d 2)) c)) (/ (* b d) a)) c)) 1) c))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) a)>
#<alt (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) a)>
#<alt (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) a)>
#<alt (/ c (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (/ c (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (/ d (* a (pow c 2)))>
#<alt (* d (+ (* -1 (/ (pow d 2) (* a (pow c 4)))) (/ 1 (* a (pow c 2)))))>
#<alt (* d (+ (* (pow d 2) (- (/ (pow d 2) (* a (pow c 6))) (/ 1 (* a (pow c 4))))) (/ 1 (* a (pow c 2)))))>
#<alt (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (* a (pow c 8)))) (/ 1 (* a (pow c 6))))) (/ 1 (* a (pow c 4))))) (/ 1 (* a (pow c 2)))))>
#<alt (/ 1 (* a d))>
#<alt (/ (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a)) d)>
#<alt (/ (- (+ (/ 1 a) (/ (pow c 4) (* a (pow d 4)))) (/ (pow c 2) (* a (pow d 2)))) d)>
#<alt (/ (- (+ (* -1 (/ (pow c 6) (* a (pow d 6)))) (/ 1 a)) (+ (* -1 (/ (pow c 4) (* a (pow d 4)))) (/ (pow c 2) (* a (pow d 2))))) d)>
#<alt (/ 1 (* a d))>
#<alt (* -1 (/ (- (/ (pow c 2) (* a (pow d 2))) (/ 1 a)) d))>
#<alt (* -1 (/ (- (* -1 (/ (pow c 4) (* a (pow d 4)))) (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a))) d))>
#<alt (* -1 (/ (- (/ (pow c 6) (* a (pow d 6))) (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (+ (/ 1 a) (/ (pow c 4) (* a (pow d 4)))))) d))>
#<alt (/ 1 (* a d))>
#<alt (+ (* -1 (/ (pow c 2) (* a (pow d 3)))) (/ 1 (* a d)))>
#<alt (+ (* (pow c 2) (- (/ (pow c 2) (* a (pow d 5))) (/ 1 (* a (pow d 3))))) (/ 1 (* a d)))>
#<alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (* a (pow d 7)))) (/ 1 (* a (pow d 5))))) (/ 1 (* a (pow d 3))))) (/ 1 (* a d)))>
#<alt (/ d (* a (pow c 2)))>
#<alt (/ (+ (* -1 (/ (pow d 3) (* a (pow c 2)))) (/ d a)) (pow c 2))>
#<alt (/ (- (+ (/ d a) (/ (pow d 5) (* a (pow c 4)))) (/ (pow d 3) (* a (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (pow d 7) (* a (pow c 6)))) (/ d a)) (+ (* -1 (/ (pow d 5) (* a (pow c 4)))) (/ (pow d 3) (* a (pow c 2))))) (pow c 2))>
#<alt (/ d (* a (pow c 2)))>
#<alt (/ (+ (* -1 (/ (pow d 3) (* a (pow c 2)))) (/ d a)) (pow c 2))>
#<alt (/ (- (+ (/ d a) (/ (pow d 5) (* a (pow c 4)))) (/ (pow d 3) (* a (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (pow d 7) (* a (pow c 6)))) (/ d a)) (+ (* -1 (/ (pow d 5) (* a (pow c 4)))) (/ (pow d 3) (* a (pow c 2))))) (pow c 2))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ d (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
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#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))>
#<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))))>
#<alt (/ a c)>
#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)>
#<alt (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ (- (+ 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)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))>
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))>
#<alt (* -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))>
#<alt (/ a c)>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))>
#<alt (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))>
#<alt (+ (* (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))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<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))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<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))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ (pow d 2) c)>
#<alt (/ (+ (pow c 2) (pow d 2)) c)>
#<alt (/ (+ (pow c 2) (pow d 2)) c)>
#<alt (/ (+ (pow c 2) (pow d 2)) c)>
#<alt c>
#<alt (* c (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* c (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* c (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (pow d 2) (pow c 2))) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (pow d 2) (pow c 2))) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (pow d 2) (pow c 2))) 1)))>
#<alt c>
#<alt (+ c (/ (pow d 2) c))>
#<alt (+ c (/ (pow d 2) c))>
#<alt (+ c (/ (pow d 2) c))>
#<alt (/ (pow d 2) c)>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (/ (pow d 2) c)>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (/ c (pow d 2))>
#<alt (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))>
#<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))))>
#<alt (/ 1 c)>
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)>
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)>
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)>
#<alt (/ 1 c)>
#<alt (* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))>
#<alt (* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))>
#<alt (* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))>
#<alt (/ 1 c)>
#<alt (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))>
#<alt (+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))>
#<alt (/ c (pow d 2))>
#<alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))>
#<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))>
#<alt (/ c (pow d 2))>
#<alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))>
#<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))>
#<alt (* a (pow c 2))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (* a (pow d 2))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* a (pow d 2))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* a (pow d 2))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (* a (pow c 2))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* a (pow c 2))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>

Calls

186 calls:

Time	Variable		Point	Expression
84.0ms	a	@	-inf	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
6.0ms	a	@	0	(* a (+ (* b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))))
1.0ms	d	@	inf	(/ c (+ (* d d) (* c c)))
1.0ms	a	@	-inf	(* a (+ (* b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))))
1.0ms	b	@	0	(* a (+ (* b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))))

simplify351.0ms (3.6%)

Memory

-8.8MiB live, 259.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 142×	`lower-fma.f64`
6 142×	`lower-fma.f32`
4 906×	`lower-*.f64`
4 906×	`lower-*.f32`
3 100×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	761	10932
1	2337	10657
2	6873	10519
0	8196	9787

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 741

Calls

Call 1

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

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

rewrite312.0ms (3.2%)

Memory

9.7MiB live, 321.7MiB allocated

Rules

5 546×	`lower-/.f32`
5 532×	`lower-/.f64`
4 262×	`lower-*.f32`
4 250×	`lower-*.f64`
4 024×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	262
0	51	262
1	179	262
2	1321	262
0	8202	262

Stop Event

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

Counts

22 → 846

Calls

Call 1

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

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

eval276.0ms (2.9%)

Memory: 30.3MiB live, 377.2MiB allocated
Compiler: Compiled 49 842 to 3 587 computations (92.8% saved)

prune237.0ms (2.5%)

Memory

-34.3MiB live, 395.7MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 755	16	1 771
Fresh	7	6	13
Picked	2	3	5
Done	0	1	1
Total	1 764	26	1 790

Accuracy

99.8%

Counts

1 790 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	36.3%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	39.8%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
▶	21.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	53.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	56.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	22.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d))
	42.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))) d))
✓	43.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
	22.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) c)))
▶	59.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c))))
	54.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a #s(approx (/ (+ (* c c) (* d d)) c) (.f64 c (fma.f64 d (/.f64 d (.f64 c c)) #s(literal 1 binary64))))))
✓	46.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	42.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
	54.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d)))
▶	43.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
	41.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
✓	41.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 d d (.f64 c c)))))
	21.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d #s(approx (+ ( d d) (* c c)) (*.f64 c c)))))
	42.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (fma.f64 b #s(approx (/ d ( (+ (* d d) (* c c)) a)) (/.f64 (fma.f64 c (/.f64 c (.f64 d (.f64 d a))) (/.f64 #s(literal -1 binary64) a)) (neg.f64 d))) (/.f64 c (fma.f64 d d (*.f64 c c))))))
	53.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a #s(approx (+ ( b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))) (/.f64 (fma.f64 b (/.f64 d (*.f64 c a)) #s(literal 1 binary64)) c))))
	53.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a #s(approx (+ ( b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 d (/.f64 b (.f64 c a)))) (neg.f64 c)))))
▶	36.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a #s(approx (+ ( b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))) (/.f64 (.f64 b d) (.f64 (fma.f64 d d (*.f64 c c)) a)))))
	35.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a #s(approx (+ ( b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))) (/.f64 b (*.f64 d a)))))
	23.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ a (/ (+ (* c c) (* d d)) c)) (.f64 c (/.f64 a (.f64 d d)))))
	22.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (.f64 b d) (.f64 c c))))

Compiler

Compiled 720 to 396 computations (45% saved)

simplify339.0ms (3.5%)

Memory

27.8MiB live, 357.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

19 812×	`lower-fma.f32`
19 806×	`lower-fma.f64`
7 094×	`lower-*.f32`
7 080×	`lower-*.f64`
1 816×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	364
0	63	356
1	90	352
2	120	352
3	177	352
4	254	352
5	355	352
6	362	352
7	438	352
8	464	352
9	499	337
10	527	331
11	558	331
12	621	323
13	682	323
14	860	323
15	3014	323
16	3414	323
17	3946	323
18	4704	323
19	5727	323
20	7106	323
21	7462	323
22	7574	323
23	7674	323
0	8244	320

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

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

localize104.0ms (1.1%)

Memory

6.3MiB live, 155.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.6370129190347136	(.f64 a #s(approx (+ ( b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))) (/.f64 (.f64 b d) (.f64 (fma.f64 d d (*.f64 c c)) a))))
accuracy	8.456192311135387	(.f64 (fma.f64 d d (.f64 c c)) a)
accuracy	16.20389689220166	(/.f64 (.f64 b d) (.f64 (fma.f64 d d (*.f64 c c)) a))
accuracy	30.28688923458664	#s(approx (+ (* b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))) (/.f64 (.f64 b d) (.f64 (fma.f64 d d (*.f64 c c)) a)))
accuracy	0	(*.f64 b d)
accuracy	0.2539034976055602	(fma.f64 a c (*.f64 b d))
accuracy	22.956725431278645	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
accuracy	26.94678836844237	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	0	(*.f64 c a)
accuracy	22.956725431278645	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
accuracy	26.987795779424783	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	30.137951374620517	#s(approx (+ (* a c) (* b d)) (*.f64 c a))
accuracy	0	(/.f64 #s(literal 1 binary64) d)
accuracy	0.1875	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
accuracy	36.40464056811343	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
accuracy	0	#s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c))
accuracy	0.078125	(fma.f64 d (/.f64 d c) c)
accuracy	1.9542342406563122	(/.f64 a #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c)))
accuracy	25.148866094441694	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c))))

Samples

59.0ms

256×

valid

Compiler

Compiled 255 to 30 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 23.0ms (56% of total)

ival-div: 12.0ms (29.2% of total)

ival-add: 5.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series68.0ms (0.7%)

Memory

1.5MiB live, 58.1MiB allocated

Counts

20 → 732

Calls

Call 1

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

Outputs
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))>
#<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))))>
#<alt (/ a c)>
#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)>
#<alt (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ (- (+ 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)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))>
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))>
#<alt (* -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))>
#<alt (/ a c)>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))>
#<alt (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))>
#<alt (+ (* (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))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<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))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<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))>
#<alt (/ (pow d 2) c)>
#<alt (/ (+ (pow c 2) (pow d 2)) c)>
#<alt (/ (+ (pow c 2) (pow d 2)) c)>
#<alt (/ (+ (pow c 2) (pow d 2)) c)>
#<alt c>
#<alt (* c (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* c (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* c (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (pow d 2) (pow c 2))) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (pow d 2) (pow c 2))) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (pow d 2) (pow c 2))) 1)))>
#<alt c>
#<alt (+ c (/ (pow d 2) c))>
#<alt (+ c (/ (pow d 2) c))>
#<alt (+ c (/ (pow d 2) c))>
#<alt (/ (pow d 2) c)>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (/ (pow d 2) c)>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt c>
#<alt (+ c (/ (pow d 2) c))>
#<alt (+ c (/ (pow d 2) c))>
#<alt (+ c (/ (pow d 2) c))>
#<alt (/ (pow d 2) c)>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (/ (pow d 2) c)>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (* (pow d 2) (+ (/ 1 c) (/ c (pow d 2))))>
#<alt (/ (pow d 2) c)>
#<alt (/ (+ (pow c 2) (pow d 2)) c)>
#<alt (/ (+ (pow c 2) (pow d 2)) c)>
#<alt (/ (+ (pow c 2) (pow d 2)) c)>
#<alt c>
#<alt (* c (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* c (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* c (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (pow d 2) (pow c 2))) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (pow d 2) (pow c 2))) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (pow d 2) (pow c 2))) 1)))>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
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#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (+ (* -1 (/ a (pow c 3))) (* -1 (/ (* b d) (pow c 4))))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (+ (* -1 (/ b (pow d 3))) (* -1 (/ (* a c) (pow d 4))))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))>
#<alt (/ c (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (* b (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (* b (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ 1 c)>
#<alt (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))>
#<alt (+ (* d (+ (* -1 (/ d (pow c 3))) (/ b (* a (pow c 2))))) (/ 1 c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (* a (pow c 4)))) (/ 1 (pow c 3)))) (/ b (* a (pow c 2))))) (/ 1 c))>
#<alt (/ b (* a d))>
#<alt (/ (+ (/ b a) (/ c d)) d)>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))) d)>
#<alt (/ (- (+ (* -1 (/ (pow c 3) (pow d 3))) (+ (/ b a) (/ c d))) (/ (* b (pow c 2)) (* a (pow d 2)))) d)>
#<alt (/ b (* a d))>
#<alt (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ c d))) d))>
#<alt (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ c (* -1 (/ (* b (pow c 2)) (* a d)))) d))) d))>
#<alt (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ c (* -1 (/ (+ (/ (* b (pow c 2)) a) (/ (pow c 3) d)) d))) d))) d))>
#<alt (/ b (* a d))>
#<alt (+ (/ b (* a d)) (/ c (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (* a (pow d 3)))) (/ 1 (pow d 2)))) (/ b (* a d)))>
#<alt (+ (* c (+ (* c (- (* -1 (/ c (pow d 4))) (/ b (* a (pow d 3))))) (/ 1 (pow d 2)))) (/ b (* a d)))>
#<alt (/ 1 c)>
#<alt (/ (+ 1 (/ (* b d) (* a c))) c)>
#<alt (/ (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))) c)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 3)))) (/ (* b d) (* a c)))) (/ (pow d 2) (pow c 2))) c)>
#<alt (/ 1 c)>
#<alt (* -1 (/ (- (* -1 (/ (* b d) (* a c))) 1) c))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)) c)) 1) c))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (* b (pow d 3)) (* a c)) (pow d 2)) c)) (/ (* b d) a)) c)) 1) c))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) a)>
#<alt (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) a)>
#<alt (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) a)>
#<alt (/ c (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (/ c (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (pow c 2)))>
#<alt (* d (+ (* -1 (/ (* b (pow d 2)) (* a (pow c 4)))) (/ b (* a (pow c 2)))))>
#<alt (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (* a (pow c 6))) (/ b (* a (pow c 4))))) (/ b (* a (pow c 2)))))>
#<alt (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (* a (pow c 8)))) (* -1 (/ b (* a (pow c 6)))))) (/ b (* a (pow c 4))))) (/ b (* a (pow c 2)))))>
#<alt (/ b (* a d))>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ b a)) d)>
#<alt (/ (- (+ (/ b a) (/ (* b (pow c 4)) (* a (pow d 4)))) (/ (* b (pow c 2)) (* a (pow d 2)))) d)>
#<alt (/ (- (+ (* -1 (/ (* b (pow c 6)) (* a (pow d 6)))) (/ b a)) (+ (* -1 (/ (* b (pow c 4)) (* a (pow d 4)))) (/ (* b (pow c 2)) (* a (pow d 2))))) d)>
#<alt (/ b (* a d))>
#<alt (* -1 (/ (+ (* -1 (/ b a)) (/ (* b (pow c 2)) (* a (pow d 2)))) d))>
#<alt (* -1 (/ (+ (* -1 (/ b a)) (+ (* -1 (/ (* b (pow c 4)) (* a (pow d 4)))) (/ (* b (pow c 2)) (* a (pow d 2))))) d))>
#<alt (* -1 (/ (+ (* -1 (/ b a)) (+ (* -1 (/ (* b (pow c 4)) (* a (pow d 4)))) (+ (/ (* b (pow c 2)) (* a (pow d 2))) (/ (* b (pow c 6)) (* a (pow d 6)))))) d))>
#<alt (/ b (* a d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (/ b (* a d)))>
#<alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (* a (pow d 5))) (/ b (* a (pow d 3))))) (/ b (* a d)))>
#<alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (* a (pow d 7)))) (* -1 (/ b (* a (pow d 5)))))) (/ b (* a (pow d 3))))) (/ b (* a d)))>
#<alt (/ (* b d) (* a (pow c 2)))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 2)))) (/ (* b d) a)) (pow c 2))>
#<alt (/ (- (+ (/ (* b d) a) (/ (* b (pow d 5)) (* a (pow c 4)))) (/ (* b (pow d 3)) (* a (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (* a (pow c 6)))) (/ (* b d) a)) (+ (* -1 (/ (* b (pow d 5)) (* a (pow c 4)))) (/ (* b (pow d 3)) (* a (pow c 2))))) (pow c 2))>
#<alt (/ (* b d) (* a (pow c 2)))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 2)))) (/ (* b d) a)) (pow c 2))>
#<alt (/ (- (+ (/ (* b d) a) (/ (* b (pow d 5)) (* a (pow c 4)))) (/ (* b (pow d 3)) (* a (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (* a (pow c 6)))) (/ (* b d) a)) (+ (* -1 (/ (* b (pow d 5)) (* a (pow c 4)))) (/ (* b (pow d 3)) (* a (pow c 2))))) (pow c 2))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (* a (+ (pow c 2) (pow d 2))))>
#<alt (* a (pow c 2))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (* a (pow d 2))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* a (pow d 2))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* (pow d 2) (+ a (/ (* a (pow c 2)) (pow d 2))))>
#<alt (* a (pow d 2))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (+ (* a (pow c 2)) (* a (pow d 2)))>
#<alt (* a (pow c 2))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* a (pow c 2))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* (pow c 2) (+ a (/ (* a (pow d 2)) (pow c 2))))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (pow c 2) (pow d 2)))>

Calls

183 calls:

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

simplify465.0ms (4.8%)

Memory

-14.7MiB live, 339.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 350×	`lower-fma.f64`
9 350×	`lower-fma.f32`
6 138×	`lower-*.f64`
6 138×	`lower-*.f32`
2 500×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	9880
1	1699	9724
2	5322	9538
0	8125	8802

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 726

Calls

Call 1

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

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

rewrite309.0ms (3.2%)

Memory

18.6MiB live, 311.4MiB allocated

Rules

6 606×	`lower-fma.f32`
6 600×	`lower-fma.f64`
5 832×	`lower-/.f32`
5 820×	`lower-/.f64`
4 684×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	326
0	63	316
1	216	312
2	1675	312
0	8448	309

Stop Event

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

Counts

20 → 348

Calls

Call 1

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

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

eval148.0ms (1.5%)

Memory: -12.0MiB live, 209.7MiB allocated
Compiler: Compiled 20 577 to 1 378 computations (93.3% saved)

prune103.0ms (1.1%)

Memory

14.6MiB live, 212.0MiB allocated

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	1 094	6	1 100
Fresh	2	15	17
Picked	2	3	5
Done	0	4	4
Total	1 098	28	1 126

Accuracy

99.8%

Counts

1 126 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	39.8%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	36.3%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	21.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	22.1%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	21.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 a c)))
	53.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	56.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	22.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d))
	42.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))) d))
✓	43.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
	22.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) c)))
✓	59.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c))))
	54.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a #s(approx (/ (+ (* c c) (* d d)) c) (.f64 c (fma.f64 d (/.f64 d (.f64 c c)) #s(literal 1 binary64))))))
✓	46.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	42.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
	54.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d)))
	59.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( c c) (* d d)) c) (fma.f64 d (/.f64 d c) c))) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))))
✓	43.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
	41.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
✓	41.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 d d (.f64 c c)))))
	21.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d #s(approx (+ ( d d) (* c c)) (*.f64 c c)))))
	42.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (fma.f64 b #s(approx (/ d ( (+ (* d d) (* c c)) a)) (/.f64 (fma.f64 c (/.f64 c (.f64 d (.f64 d a))) (/.f64 #s(literal -1 binary64) a)) (neg.f64 d))) (/.f64 c (fma.f64 d d (*.f64 c c))))))
	53.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a #s(approx (+ ( b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))) (/.f64 (fma.f64 d (/.f64 b (*.f64 c a)) #s(literal 1 binary64)) c))))
	53.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a #s(approx (+ ( b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))) (/.f64 (fma.f64 b (/.f64 d (*.f64 c a)) #s(literal 1 binary64)) c))))
	21.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a #s(approx (+ ( b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))) (/.f64 (.f64 b d) #s(approx ( (+ (* d d) (* c c)) a) (.f64 (.f64 c c) a))))))
	35.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a #s(approx (+ ( b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))) (/.f64 b (*.f64 d a)))))
	23.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ a (/ (+ (* c c) (* d d)) c)) (.f64 c (/.f64 a (.f64 d d)))))

Compiler

Compiled 1 078 to 369 computations (65.8% saved)

regimes89.0ms (0.9%)

Memory

24.4MiB live, 99.6MiB allocated

Counts

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

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

Calls

5 calls:

27.0ms	d
19.0ms	b
14.0ms	c
14.0ms	a
13.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
73.0%	3	`a`
81.3%	5	`b`
87.5%	5	`c`
88.6%	5	`d`
79.3%	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes17.0ms (0.2%)

Memory

-8.7MiB live, 27.7MiB allocated

Counts

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
87.5%	5	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes23.0ms (0.2%)

Memory

10.3MiB live, 47.2MiB allocated

Counts

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

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

Calls

2 calls:

12.0ms	d
9.0ms	c

Results

Accuracy	Segments	Branch
80.7%	3	`c`
82.9%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes26.0ms (0.3%)

Memory

-40.1MiB live, 12.2MiB allocated

Counts

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

24.0ms

Results

Accuracy	Segments	Branch
82.9%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes17.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

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

Calls

2 calls:

8.0ms	d
8.0ms	c

Results

Accuracy	Segments	Branch
79.6%	3	`c`
77.2%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes36.0ms (0.4%)

Memory

-5.8MiB live, 68.1MiB 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) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (.f64 b d) (.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ a (/ (+ (* c c) (* d d)) c)) (.f64 c (/.f64 a (.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a #s(approx (+ ( b (/ d (* (+ (* d d) (* c c)) a))) (/ c (+ (* d d) (* c c)))) (/.f64 b (*.f64 d a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d #s(approx (+ ( d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) #s(approx (+ ( d d) (* c c)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) #s(approx (+ ( d d) (* c c)) (*.f64 d d))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (.f64 c a)) (.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 d d (.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
(/.f64 (fma.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 d d)))
(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d 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 #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c))))

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

Calls

4 calls:

11.0ms	d
9.0ms	c
7.0ms	b
7.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
73.9%	3	`d`
64.7%	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
74.9%	3	`b`
73.8%	3	`c`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes38.0ms (0.4%)

Memory

-15.4MiB live, 70.4MiB allocated

Counts

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

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

Calls

4 calls:

13.0ms	a
9.0ms	d
7.0ms	b
7.0ms	c

Results

Accuracy	Segments	Branch
61.8%	4	`a`
73.3%	5	`c`
73.1%	5	`d`
66.1%	4	`b`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
73.3%	5	`c`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes15.0ms (0.2%)

Memory

-0.9MiB live, 37.9MiB allocated

Counts

21 → 4

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

2 calls:

7.0ms	c
6.0ms	d

Results

Accuracy	Segments	Branch
71.3%	4	`d`
72.7%	5	`c`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

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

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
69.7%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory

-19.6MiB live, 19.4MiB 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:

2.0ms	c
1.0ms	a
1.0ms	b
1.0ms	d
1.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
46.5%	1	`a`
46.5%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
46.5%	1	`b`
46.5%	1	`c`
46.5%	1	`d`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch67.0ms (0.7%)

Memory

12.8MiB live, 127.9MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	6.568943608854373e+146	1.1741299718452174e+151
20.0ms	3.8012842363104373e-89	1.6867488996141739e-78
12.0ms	-6.781030848697312e-109	-2.180337381941203e-111
14.0ms	-2.2925771273467768e+107	-4.180228834389345e+102

Samples

42.0ms

544×

valid

Compiler

Compiled 1 382 to 664 computations (52% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 17.0ms (63.4% of total)

ival-add: 6.0ms (22.4% of total)

ival-div: 3.0ms (11.2% of total)

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

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

bsearch48.0ms (0.5%)

Memory

20.0MiB live, 95.4MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	9.633637768962667e+91	1.0933048309283795e+102
9.0ms	2.4018727048410707e-50	2.815710821340127e-49
1.0ms	-6.781030848697312e-109	-2.180337381941203e-111
16.0ms	-3.1940395248505605e+56	-2.1427225371787556e+51

Samples

29.0ms

400×

valid

Compiler

Compiled 1 078 to 612 computations (43.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (70.1% of total)

ival-add: 3.0ms (17.5% of total)

ival-div: 2.0ms (11.7% of total)

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

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

bsearch41.0ms (0.4%)

Memory

-13.2MiB live, 60.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.0933048309283795e+102	1.147379070623704e+106
21.0ms	-3.4290027596503216e+28	-4.901523319702596e+25

Samples

30.0ms

256×

valid

Compiler

Compiled 470 to 274 computations (41.7% saved)

Precisions

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

ival-add: 7.0ms (46.7% of total)

ival-mult: 6.0ms (40% of total)

ival-div: 1.0ms (6.7% of total)

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

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.0933048309283795e+102	1.147379070623704e+106
1.0ms	-3.4290027596503216e+28	-4.901523319702596e+25

Compiler

Compiled 470 to 274 computations (41.7% saved)

bsearch41.0ms (0.4%)

Memory

-2.8MiB live, 36.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	4.604013594440764e-19	1.9782364565432623e-5
12.0ms	-2.9200805765940145e+34	-3.153035780439236e+31

Samples

18.0ms

288×

valid

Compiler

Compiled 544 to 306 computations (43.8% saved)

Precisions

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

ival-mult: 7.0ms (65% of total)

ival-div: 2.0ms (18.6% of total)

ival-add: 2.0ms (18.6% of total)

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

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

bsearch16.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	3.3805224763979758e+100	3.7683321954389075e+100
11.0ms	-2.2954399653591506e+58	-1.3261498551012566e+57

Samples

9.0ms

144×

valid

Compiler

Compiled 238 to 144 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (54.6% of total)

ival-div: 1.0ms (18.2% of total)

ival-add: 1.0ms (18.2% of total)

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

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

bsearch73.0ms (0.8%)

Memory

-66.8MiB live, 96.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	2.578498568362738e+106	1.3878742476431362e+107
27.0ms	1.0760081520397807e-105	9.354958396926148e-100
13.0ms	-9.90807408990616e-79	-2.3371844623796103e-83
17.0ms	-2.337716343269724e+132	-7.474111269800062e+127

Samples

49.0ms

496×

valid

Compiler

Compiled 797 to 483 computations (39.4% saved)

Precisions

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

ival-mult: 17.0ms (71.8% of total)

ival-add: 4.0ms (16.9% of total)

ival-div: 3.0ms (12.7% of total)

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

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

bsearch2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	2.578498568362738e+106	1.3878742476431362e+107
1.0ms	1.0760081520397807e-105	9.354958396926148e-100
1.0ms	-9.90807408990616e-79	-2.3371844623796103e-83
1.0ms	-2.337716343269724e+132	-7.474111269800062e+127

Compiler

Compiled 797 to 483 computations (39.4% saved)

bsearch30.0ms (0.3%)

Memory

17.5MiB live, 55.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	9.633637768962667e+91	1.0933048309283795e+102
6.0ms	-3.4290027596503216e+28	-4.901523319702596e+25
9.0ms	-4.228152720932574e+154	-4.238122240750434e+153

Samples

18.0ms

256×

valid

Compiler

Compiled 566 to 348 computations (38.5% saved)

Precisions

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

ival-mult: 6.0ms (62.7% of total)

ival-add: 2.0ms (20.9% of total)

ival-div: 1.0ms (10.4% of total)

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

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

bsearch15.0ms (0.2%)

Memory

-10.3MiB live, 29.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.633637768962667e+91	1.0933048309283795e+102
13.0ms	-7.682763596889416e+32	-3.4290027596503216e+28

Samples

9.0ms

128×

valid

Compiler

Compiled 346 to 234 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (61.5% of total)

ival-div: 1.0ms (20.5% of total)

ival-add: 1.0ms (20.5% of total)

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

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

simplify12.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1037
1	131	1037

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -169999999999999984920580193545342657751591853039160298944246870383251589678865940270901565208156814488633344 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 -2326917010141675/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))) (if (<=.f64 d #s(literal 3499601159652819/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 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 5600000000000000160701118149654338597272626237271457284215774690311495357140111012528007796066322677524081488190900430998355223365420175100991242240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.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 -315000000000000003904610845270570539060337441126265913344 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 -2326917010141675/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072 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 1020000000000000005801869287322592914130532168566592690741974356130171888047556842532991190171648 binary64)) (/.f64 (fma.f64 a c (.f64 b 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))))))
(if (<=.f64 d #s(literal -102000000000000007952400384 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 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 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 (/.f64 a d) c b) d))))
(if (<=.f64 d #s(literal -102000000000000007952400384 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 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 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 -47999999999999996450862364884992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c)))) (if (<=.f64 c #s(literal 1431368170423721/77371252455336267181195264 binary64)) #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 a #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c))))))
(if (<=.f64 b #s(literal -12499999999999999646098506195058025106242041045772144738304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 b #s(literal 34999999999999997642597850503003525260069969738530124900624387873908153824877719104490717142686105600 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
(if (<=.f64 c #s(literal -49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -3203980553881365/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (if (<=.f64 c #s(literal 5245195064864033/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 135000000000000007197269930963523510741047068325245282587192690395511562496891887668128181908469999114125312 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))))
(if (<=.f64 c #s(literal -49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -3203980553881365/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (if (<=.f64 c #s(literal 5245195064864033/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 135000000000000007197269930963523510741047068325245282587192690395511562496891887668128181908469999114125312 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))))
(if (<=.f64 d #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -95999999999999998389387264 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (.f64 c a)) (.f64 d d)))) (if (<=.f64 d #s(literal 410000000000000023574296221459676061227569513664690510498126486909836095257648455881599221760 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)))))
(if (<=.f64 d #s(literal -309999999999999989275735097344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 410000000000000023574296221459676061227569513664690510498126486909836095257648455881599221760 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 -169999999999999984920580193545342657751591853039160298944246870383251589678865940270901565208156814488633344 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 -2326917010141675/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))) (if (<=.f64 d #s(literal 3499601159652819/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 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 5600000000000000160701118149654338597272626237271457284215774690311495357140111012528007796066322677524081488190900430998355223365420175100991242240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.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 -315000000000000003904610845270570539060337441126265913344 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 -2326917010141675/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072 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 1020000000000000005801869287322592914130532168566592690741974356130171888047556842532991190171648 binary64)) (/.f64 (fma.f64 a c (.f64 b 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))))))
(if (<=.f64 d #s(literal -315000000000000003904610845270570539060337441126265913344 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 -2326917010141675/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072 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 1020000000000000005801869287322592914130532168566592690741974356130171888047556842532991190171648 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (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))))))
(if (<=.f64 d #s(literal -102000000000000007952400384 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 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 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 (/.f64 a d) c b) d))))
(if (<=.f64 d #s(literal -102000000000000007952400384 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 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 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 -47999999999999996450862364884992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c)))) (if (<=.f64 c #s(literal 1431368170423721/77371252455336267181195264 binary64)) #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 a #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c))))))
(if (<=.f64 b #s(literal -12499999999999999646098506195058025106242041045772144738304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 b #s(literal 34999999999999997642597850503003525260069969738530124900624387873908153824877719104490717142686105600 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a #s(approx (/ (+ (* c c) (* d d)) c) (fma.f64 d (/.f64 d c) c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
(if (<=.f64 c #s(literal -49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -3203980553881365/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (if (<=.f64 c #s(literal 5245195064864033/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 135000000000000007197269930963523510741047068325245282587192690395511562496891887668128181908469999114125312 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))))
(if (<=.f64 c #s(literal -49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -3203980553881365/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (if (<=.f64 c #s(literal 5245195064864033/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 135000000000000007197269930963523510741047068325245282587192690395511562496891887668128181908469999114125312 binary64)) #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 a c))))))
(if (<=.f64 c #s(literal -49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -3203980553881365/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (if (<=.f64 c #s(literal 5245195064864033/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 135000000000000007197269930963523510741047068325245282587192690395511562496891887668128181908469999114125312 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))))
(if (<=.f64 c #s(literal -49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -3203980553881365/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (if (<=.f64 c #s(literal 5245195064864033/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 135000000000000007197269930963523510741047068325245282587192690395511562496891887668128181908469999114125312 binary64)) #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 a c))))))
(if (<=.f64 d #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -95999999999999998389387264 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (.f64 c a)) (.f64 d d)))) (if (<=.f64 d #s(literal 410000000000000023574296221459676061227569513664690510498126486909836095257648455881599221760 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)))))
(if (<=.f64 d #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -95999999999999998389387264 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (.f64 a c)) (.f64 d d)))) (if (<=.f64 d #s(literal 410000000000000023574296221459676061227569513664690510498126486909836095257648455881599221760 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)))))
(if (<=.f64 d #s(literal -309999999999999989275735097344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 410000000000000023574296221459676061227569513664690510498126486909836095257648455881599221760 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))

soundness1.3s (13.6%)

Memory

-1.2MiB live, 736.7MiB allocated

Rules

10 380×	`lower-fma.f64`
10 380×	`lower-fma.f32`
7 676×	`lower-fma.f64`
7 676×	`lower-fma.f32`
6 606×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	326
0	63	316
1	216	312
2	1675	312
0	8448	309
0	761	10932
1	2337	10657
2	6873	10519
0	8196	9787
0	186	1428
1	618	1418
2	1892	1394
3	5763	1392
0	8185	1262
0	35	229
0	54	229
1	196	229
2	1438	229
0	8352	229
0	456	9954
1	1513	9590
2	4816	9376
0	8227	8824
0	11	35
0	18	35
1	58	35
2	435	35
3	5073	35
0	8760	31

Stop Event

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

Compiler

Compiled 1 024 to 402 computations (60.7% saved)

preprocess103.0ms (1.1%)

Memory: 17.1MiB live, 211.9MiB allocated
Compiler: Compiled 1 020 to 268 computations (73.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze50.0ms (0.5%)

sample1.2s (12.4%)

explain149.0ms (1.6%)

preprocess319.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize32.0ms (0.3%)

series29.0ms (0.3%)

simplify221.0ms (2.3%)

rewrite270.0ms (2.8%)

eval55.0ms (0.6%)

prune70.0ms (0.7%)

simplify358.0ms (3.7%)

localize133.0ms (1.4%)

series63.0ms (0.7%)

simplify345.0ms (3.6%)

rewrite553.0ms (5.7%)

eval247.0ms (2.6%)

prune178.0ms (1.8%)

simplify281.0ms (2.9%)

localize198.0ms (2.1%)

series137.0ms (1.4%)

simplify351.0ms (3.6%)

rewrite312.0ms (3.2%)

eval276.0ms (2.9%)

prune237.0ms (2.5%)

simplify339.0ms (3.5%)

localize104.0ms (1.1%)

series68.0ms (0.7%)

simplify465.0ms (4.8%)

rewrite309.0ms (3.2%)

eval148.0ms (1.5%)

prune103.0ms (1.1%)

regimes89.0ms (0.9%)

regimes17.0ms (0.2%)

regimes23.0ms (0.2%)

regimes26.0ms (0.3%)

regimes17.0ms (0.2%)

regimes36.0ms (0.4%)

regimes38.0ms (0.4%)

regimes8.0ms (0.1%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch67.0ms (0.7%)

bsearch48.0ms (0.5%)

bsearch41.0ms (0.4%)

bsearch1.0ms (0%)

bsearch41.0ms (0.4%)

bsearch16.0ms (0.2%)

bsearch73.0ms (0.8%)

bsearch2.0ms (0%)

bsearch30.0ms (0.3%)

bsearch15.0ms (0.2%)

simplify12.0ms (0.1%)

soundness1.3s (13.6%)

preprocess103.0ms (1.1%)

end0.0ms (0%)

Profiling