Metrics for Complex division, real part

analyze26.0ms (0.2%)

Memory

-2.2MiB live, 36.1MiB 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)

sample6.4s (40.5%)

Memory

-62.1MiB live, 1 104.8MiB allocated

Samples

5.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 5.4s

ival-add: 5.1s (94.3% of total)

ival-mult: 254.0ms (4.7% of total)

ival-div: 48.0ms (0.9% of total)

ival-true: 6.0ms (0.1% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

preprocess328.0ms (2.1%)

Memory

3.8MiB live, 43.3MiB 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)))

explain514.0ms (3.2%)

Memory

137.9MiB live, 288.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
89	-	2	(7.443257329526807e-160 1.7273562771743799e-165 3.560351602601398e-167 -1.2591807131292996e-149)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
3	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`
0	-	0	-	`d`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	44	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	56
↳	`(*.f64 a c)`	overflow	33
↳	`(*.f64 b d)`	overflow	27
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	94
↳	`(*.f64 c c)`	overflow	53
↳	`(*.f64 d d)`	overflow	54
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	24	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	94
↳	`(*.f64 c c)`	overflow	53
↳	`(*.f64 d d)`	overflow	54
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	12	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	56
↳	`(*.f64 a c)`	overflow	33
↳	`(*.f64 b d)`	overflow	27
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	3	0
↳	`(*.f64 a c)`	overflow	33
↳	`(*.f64 b d)`	overflow	27
`/.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	5
↳	`(*.f64 a c)`	underflow	42
↳	`(*.f64 b d)`	underflow	26
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	2	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	11
↳	`(*.f64 c c)`	underflow	56
↳	`(*.f64 d d)`	underflow	68
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	2	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	5
↳	`(*.f64 a c)`	underflow	42
↳	`(*.f64 b d)`	underflow	26
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	11
↳	`(*.f64 c c)`	underflow	56
↳	`(*.f64 d d)`	underflow	68

Confusion

	Predicted +	Predicted -
+	87	2
-	0	167

Precision

1.0

Recall

0.9775280898876404

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	87	0	2
-	0	0	167

Precision?

1.0

Recall?

0.9775280898876404

Freqs

test

number	freq
0	169
1	84
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 14.0ms (65% of total)

ival-add: 4.0ms (18.6% of total)

ival-div: 3.0ms (13.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(/.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

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize55.0ms (0.3%)

Memory

4.6MiB live, 43.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	98.9%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	66.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

19.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 6.0ms (58.7% of total)

ival-add: 2.0ms (19.6% of total)

ival-div: 1.0ms (9.8% of total)

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

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

series13.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

4 → 144

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)>

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)>

Calls

36 calls:

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

simplify548.0ms (3.5%)

Memory

-204.5MiB live, 185.2MiB 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	1356
1	618	1346
2	1892	1322
3	5763	1320
0	8185	1190

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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)

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)

rewrite616.0ms (3.9%)

Memory

-4.5MiB live, 268.8MiB allocated

Algorithm

1×	batch-egg-rewrite

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	32
0	18	32
1	58	32
2	435	32
3	5073	32
0	8760	28

Stop Event

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

Counts

4 → 339

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)

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

eval82.0ms (0.5%)

Memory: 22.9MiB live, 58.7MiB allocated
Compiler: Compiled 17 374 to 1 022 computations (94.1% saved)

prune159.0ms (1%)

Memory

-16.9MiB live, 102.2MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	467	16	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	468	16	484

Accuracy

99.5%

Counts

484 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
	66.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (fma.f64 d d (*.f64 c c)))
▶	36.7%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	38.5%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	42.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d)))
	66.4%	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
	39.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (.f64 d (.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)))
	65.9%	#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)))))
	55.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
▶	52.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
▶	47.4%	#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))
	51.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c))
	42.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
	38.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
	43.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Compiler

Compiled 536 to 286 computations (46.6% saved)

simplify432.0ms (2.7%)

Memory

22.5MiB live, 223.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

6 584×	`lower-fma.f32`
6 576×	`lower-fma.f64`
2 704×	`lower-*.f32`
2 696×	`lower-*.f64`
1 274×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	252
0	55	252
1	75	252
2	101	247
3	189	242
4	307	242
5	418	242
6	620	242
7	903	242
8	1285	242
9	1895	242
10	3383	242
11	4778	242
12	5243	242
13	5420	242
14	5509	242
15	5534	242
16	5544	242
17	5626	242
18	5817	242
19	5915	242
20	5915	242
21	6524	242
22	7000	242
23	7162	242
24	7414	242
0	8025	239

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

localize157.0ms (1%)

Memory

9.4MiB live, 129.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.9%	(/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)
✓	accuracy	89.4%	(fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c))
✓	accuracy	89.3%	(/.f64 (*.f64 c (neg.f64 c)) d)
✓	accuracy	51.7%	#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	100.0%	(*.f64 a c)
✓	accuracy	98.9%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	66.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	accuracy	55.3%	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	accuracy	100.0%	(/.f64 c d)
✓	accuracy	99.1%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
✓	accuracy	95.4%	(fma.f64 a (/.f64 c d) b)
✓	accuracy	52.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
✓	accuracy	100.0%	(/.f64 a c)
✓	accuracy	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(fma.f64 c c (*.f64 d d))
✓	accuracy	99.6%	(fma.f64 a c (*.f64 b d))
✓	accuracy	66.9%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Samples

93.0ms

256×

valid

Compiler

Compiled 235 to 26 computations (88.9% saved)

Precisions

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

ival-div: 58.0ms (76.7% of total)

ival-mult: 11.0ms (14.6% of total)

ival-add: 5.0ms (6.6% of total)

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

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

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

series162.0ms (1%)

Memory

-6.7MiB live, 77.6MiB allocated

Counts

20 → 792

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 (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 (+.f64 (.f64 a c) (.f64 b d))>
#<alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))>
#<alt (*.f64 a c)>
#<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 #s(approx (+ (* c c) (* d d)) (*.f64 d d))>
#<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)))>
#<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 (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (/ (* a c) (pow d 2))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ b d)>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (/ b d)>
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#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt b>
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#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (/ (* a c) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c 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)))))>
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#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
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#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
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#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
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#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
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#<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) (+ (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))))))>
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#<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)))>
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#<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)>
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#<alt (/ a c)>
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#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
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#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
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#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
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#<alt (/ b d)>
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#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (* a c)>
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#<alt (* a c)>
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#<alt (* c (+ a (* -1 (/ (* b c) d))))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
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#<alt (* (pow c 2) (+ (* -1 (/ b d)) (/ a c)))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (* (pow c 2) (+ (* -1 (/ b d)) (/ a c)))>
#<alt (* (pow c 2) (+ (* -1 (/ b d)) (/ a c)))>
#<alt (* (pow c 2) (+ (* -1 (/ b d)) (/ a c)))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) d)>
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#<alt (* a c)>
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#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (* a c)>
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#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (* a c)>
#<alt (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))>
#<alt (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))>
#<alt (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))>
#<alt (* a c)>
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#<alt (* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))>
#<alt (/ (* a c) d)>
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#<alt (+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d))>
#<alt (+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d))>
#<alt (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))>
#<alt (* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))>
#<alt (* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))>
#<alt (* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))>
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#<alt b>
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#<alt (+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))>
#<alt (+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
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#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2)))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
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#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
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#<alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2))>
#<alt b>
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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>
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#<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)>
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#<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))))))>
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#<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)))>
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#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
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#<alt (/ a c)>
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#<alt (/ a c)>
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#<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 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 (* -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

198 calls:

Time	Variable		Point	Expression
92.0ms	a	@	0	(+ (* b (/ (* c (neg c)) d)) (* a c))
3.0ms	c	@	-inf	(/ c d)
1.0ms	d	@	0	(/ (* c (neg c)) d)
1.0ms	d	@	-inf	(/ (+ (* a (/ c d)) b) d)
1.0ms	c	@	0	(/ (* c (neg c)) d)

simplify361.0ms (2.3%)

Memory

19.3MiB live, 722.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 170×	`lower-fma.f64`
11 170×	`lower-fma.f32`
5 168×	`lower-*.f64`
5 168×	`lower-*.f32`
2 284×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	9588
1	1259	9248
2	4084	8804
0	8381	8269

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 783

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

rewrite667.0ms (4.2%)

Memory

-22.4MiB live, 665.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 200×	`lower-fma.f32`
6 192×	`lower-fma.f64`
4 316×	`lower-*.f32`
4 308×	`lower-*.f64`
4 174×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	216
0	55	216
1	181	216
2	1303	216
0	8449	216

Stop Event

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

Counts

20 → 619

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

eval294.0ms (1.9%)

Memory: -10.8MiB live, 460.9MiB allocated
Compiler: Compiled 34 469 to 2 050 computations (94.1% saved)

prune182.0ms (1.1%)

Memory

1.6MiB live, 381.7MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1 436	18	1 454
Fresh	7	4	11
Picked	3	2	5
Done	0	0	0
Total	1 446	24	1 470

Accuracy

99.7%

Counts

1 470 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.7%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	66.6%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c)))
	38.5%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	38.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (fma.f64 c c (.f64 d d)))
	16.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	42.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) (fma.f64 c c (.f64 d d)))
	30.1%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	66.4%	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
	52.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) d))
	55.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
✓	52.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	50.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 a c) d) b) d))
	40.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 #s(approx (+ (* b (/ (* c (neg c)) d)) (* a c)) (.f64 c (.f64 b (/.f64 c (neg.f64 d))))) d)) d))
	51.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c))
	41.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 b d (*.f64 c a)) d)) d))
	19.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) d))
▶	43.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	52.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b))))
	42.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	42.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))))
	42.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	60.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b)))
▶	39.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))

Compiler

Compiled 681 to 386 computations (43.3% saved)

simplify17.0ms (0.1%)

Memory

-4.7MiB live, 34.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

220×	`lower-*.f32`
208×	`lower-*.f64`
92×	`lower-fma.f32`
90×	`lower-/.f32`
84×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	200
0	45	198
1	62	198
2	74	198
3	115	198
4	164	198
5	204	198
6	252	198
7	293	198
8	321	198
9	343	198
10	349	198
0	349	198

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (0.5%)

Memory

-15.6MiB live, 261.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 c c (*.f64 d d))
✓	accuracy	99.6%	(fma.f64 a c (*.f64 b d))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
✓	accuracy	67.2%	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	99.2%	(fma.f64 d b (*.f64 a c))
✓	accuracy	66.9%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	accuracy	55.3%	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	accuracy	100.0%	(fma.f64 d d (*.f64 c c))
✓	accuracy	88.6%	(/.f64 b (fma.f64 d d (*.f64 c c)))
✓	accuracy	82.1%	(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))
✓	accuracy	58.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
✓	accuracy	100.0%	(/.f64 b d)
✓	accuracy	43.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(fma.f64 d d (*.f64 c c))
✓	accuracy	99.6%	(fma.f64 a c (*.f64 b d))
✓	accuracy	66.9%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c)))

Samples

44.0ms

256×

valid

Compiler

Compiled 199 to 24 computations (87.9% saved)

Precisions

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

ival-mult: 11.0ms (44.8% of total)

ival-div: 9.0ms (36.6% of total)

ival-add: 4.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.2%)

Memory

1.1MiB live, 79.5MiB allocated

Counts

16 → 576

Calls

Call 1

Inputs
#<alt (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c)))>
#<alt (fma.f64 a c (*.f64 b d))>
#<alt (*.f64 b d)>
#<alt (fma.f64 d d (*.f64 c c))>
#<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 d (/.f64 b (fma.f64 d d (.f64 c c)))))>
#<alt (.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))>
#<alt (/.f64 b (fma.f64 d d (*.f64 c c)))>
#<alt (/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))>
#<alt (fma.f64 d b (*.f64 a c))>
#<alt (*.f64 a c)>
#<alt #s(approx (+ (* c c) (* d d)) (*.f64 d d))>
#<alt (.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))>
#<alt (fma.f64 c c (*.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 (/ 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 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 (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 (/ (* 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 (/ 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 (/ (* b d) (pow c 2))>
#<alt (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))>
#<alt (/ b d)>
#<alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)>
#<alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))>
#<alt (/ (* 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)))>
#<alt (/ (* 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)))>
#<alt (/ (* 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)))>
#<alt (/ (* 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)))>
#<alt (/ b d)>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))>
#<alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))>
#<alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))>
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))>
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (+ (pow c 2) (pow d 2)))>
#<alt (/ b (pow c 2))>
#<alt (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))>
#<alt (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))>
#<alt (/ b (pow d 2))>
#<alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))>
#<alt (/ b (pow d 2))>
#<alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))>
#<alt (/ b (pow d 2))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))>
#<alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))>
#<alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))>
#<alt (/ b (pow c 2))>
#<alt (/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))>
#<alt (/ b (pow c 2))>
#<alt (/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))>
#<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))) (/ (* 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 (/ (* 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)>
#<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 (* 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 (* 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)>
#<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 (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 (/ 1 (pow d 2))>
#<alt (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))>
#<alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))>
#<alt (+ (* (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 (pow c 2))>
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))>
#<alt (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))>
#<alt (/ 1 (pow d 2))>
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))>
#<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))))>

Calls

144 calls:

Time	Variable		Point	Expression
7.0ms	b	@	0	(/ b (+ (* d d) (* c c)))
1.0ms	c	@	0	(/ b (+ (* d d) (* c c)))
1.0ms	b	@	inf	(* d (/ b (+ (* d d) (* c c))))
1.0ms	b	@	0	(* d (/ b (+ (* d d) (* c c))))
0.0ms	b	@	-inf	(/ b (+ (* d d) (* c c)))

simplify377.0ms (2.4%)

Memory

47.2MiB live, 675.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 310×	`lower-fma.f64`
9 310×	`lower-fma.f32`
4 690×	`lower-*.f64`
4 690×	`lower-*.f32`
3 334×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	7588
1	1146	7454
2	3358	7298
0	8457	6734

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

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

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

rewrite408.0ms (2.6%)

Memory

-28.9MiB live, 648.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 528×	`lower-fma.f32`
8 520×	`lower-fma.f64`
6 232×	`lower-*.f32`
6 220×	`lower-*.f64`
3 738×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	155
0	45	153
1	155	153
2	1010	153
0	8259	153

Stop Event

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

Counts

16 → 1 669

Calls

Call 1

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

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

eval341.0ms (2.2%)

Memory: 48.4MiB live, 426.1MiB allocated
Compiler: Compiled 83 124 to 2 954 computations (96.4% saved)

prune530.0ms (3.3%)

Memory

-35.7MiB live, 430.7MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	2 501	11	2 512
Fresh	5	12	17
Picked	1	4	5
Done	0	2	2
Total	2 507	29	2 536

Accuracy

99.7%

Counts

2 536 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	36.7%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	38.5%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	66.6%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c)))
▶	16.7%	(/.f64 #s(approx (+ (* d b) (* a c)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	38.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (fma.f64 d d (.f64 c c)))
	42.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) (fma.f64 c c (.f64 d d)))
	54.3%	#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
▶	38.2%	#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))))
	52.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) d))
✓	52.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
▶	50.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 a c) d) b) d))
	40.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 #s(approx (+ (* b (/ (* c (neg c)) d)) (* a c)) (.f64 c (.f64 b (/.f64 c (neg.f64 d))))) d)) d))
	51.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c))
	41.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 b d (*.f64 c a)) d)) d))
	19.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) d))
✓	43.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	52.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b))))
	42.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
	42.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	45.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
	43.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
	42.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))))
▶	42.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
▶	60.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b)))
✓	39.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
	29.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 d d)))))
	19.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c)))))
	20.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* d (/ b (+ (* d d) (* c c)))) (.f64 b (/.f64 d (.f64 c c)))))

Compiler

Compiled 740 to 422 computations (43% saved)

simplify269.0ms (1.7%)

Memory

12.0MiB live, 210.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 a c) d)
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 (*.f64 a c) d) b) d)
✓	cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 a c) d) b) d))
✓	cost-diff	128	(+.f64 (/.f64 (*.f64 a c) d) b)
✓	cost-diff	0	(fma.f64 d d (*.f64 c c))
✓	cost-diff	0	(/.f64 a (fma.f64 d d (*.f64 c c)))
✓	cost-diff	0	(.f64 c (/.f64 a (fma.f64 d d (.f64 c c))))
✓	cost-diff	0	#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (.f64 c (/.f64 a (fma.f64 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 (+ (* d b) (* a c)) (*.f64 c a))
✓	cost-diff	0	(/.f64 #s(approx (+ (* d b) (* a c)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) c)
✓	cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))
✓	cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b)))
✓	cost-diff	192	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (.f64 c c))) (fma.f64 c (/.f64 a b) d))
✓	cost-diff	960	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b))

Rules

3 320×	`lower-fma.f32`
3 316×	`lower-fma.f64`
2 440×	`lower-*.f32`
2 424×	`lower-*.f64`
1 830×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	295
0	60	285
1	97	279
2	186	279
3	486	277
4	1379	277
5	2944	276
6	5020	276
7	6155	276
8	6704	276
9	6905	276
10	7030	276
11	7137	276
12	7502	276
13	7648	276
14	7791	276
15	7839	276
16	7857	276
17	7877	276
18	7995	276
0	8263	265

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

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

localize113.0ms (0.7%)

Memory

-1.8MiB live, 148.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	99.1%	(/.f64 (+.f64 (/.f64 (*.f64 a c) d) b) d)
✓	accuracy	88.3%	(/.f64 (*.f64 a c) d)
✓	accuracy	52.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 a c) d) b) d))
✓	accuracy	100.0%	(fma.f64 d d (*.f64 c c))
✓	accuracy	89.1%	(/.f64 a (fma.f64 d d (*.f64 c c)))
✓	accuracy	83.9%	(.f64 c (/.f64 a (fma.f64 d d (.f64 c c))))
✓	accuracy	55.9%	#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))))
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	66.9%	(/.f64 #s(approx (+ (* d b) (* a c)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	accuracy	55.3%	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	accuracy	50.7%	#s(approx (+ (* d b) (* a c)) (*.f64 c a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) c)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓	accuracy	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))
✓	accuracy	95.8%	(fma.f64 c (/.f64 a b) d)
✓	accuracy	89.8%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b))
✓	accuracy	63.9%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (.f64 c c))) (fma.f64 c (/.f64 a b) d))

Samples

56.0ms

256×

valid

Compiler

Compiled 245 to 34 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 16.0ms (44.8% of total)

ival-div: 12.0ms (33.6% of total)

ival-add: 6.0ms (16.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.2%)

Memory

-5.3MiB live, 63.9MiB allocated

Counts

21 → 792

Calls

Call 1

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

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

Calls

198 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(* c (/ a (+ (* d d) (* c c))))
1.0ms	b	@	-inf	(* (* (/ -1 (+ (* d d) (* c c))) (+ (* c (/ a b)) d)) (neg b))
1.0ms	a	@	0	(* (/ -1 (+ (* d d) (* c c))) (+ (* c (/ a b)) d))
1.0ms	a	@	inf	(* (* (/ -1 (+ (* d d) (* c c))) (+ (* c (/ a b)) d)) (neg b))
1.0ms	a	@	-inf	(* (/ -1 (+ (* d d) (* c c))) (+ (* c (/ a b)) d))

simplify349.0ms (2.2%)

Memory

-5.9MiB live, 484.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 174×	`lower-fma.f64`
8 174×	`lower-fma.f32`
5 616×	`lower-*.f64`
5 616×	`lower-*.f32`
1 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	559	10263
1	1737	10078
2	5264	9881
0	8174	9150

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 780

Calls

Call 1

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

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

rewrite303.0ms (1.9%)

Memory

-2.5MiB live, 399.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 168×	`lower-/.f32`
5 154×	`lower-/.f64`
4 058×	`lower-*.f32`
4 042×	`lower-*.f64`
3 956×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	257
0	60	251
1	229	244
2	1620	244
0	8590	235

Stop Event

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

Counts

21 → 607

Calls

Call 1

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

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

eval245.0ms (1.5%)

Memory: 50.4MiB live, 276.5MiB allocated
Compiler: Compiled 34 258 to 2 408 computations (93% saved)

prune155.0ms (1%)

Memory

-22.0MiB live, 294.1MiB allocated

Pruning

32 alts after pruning (23 fresh and 9 done)

	Pruned	Kept	Total
New	1 442	9	1 451
Fresh	4	14	18
Picked	2	3	5
Done	0	6	6
Total	1 448	32	1 480

Accuracy

99.7%

Counts

1 480 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	36.7%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	38.5%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	66.6%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c)))
	38.5%	(/.f64 #s(approx (+ (* d b) (* a c)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (fma.f64 c c (*.f64 d d))))
	27.9%	(/.f64 #s(approx (+ (* d b) (* a c)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	42.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) (fma.f64 c c (.f64 d d)))
	54.3%	#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
	16.5%	#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (.f64 c (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 d d)))))
	45.2%	#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d)))))
	17.2%	#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (* c (/ a (+ (* d d) (* c c)))) (.f64 a (/.f64 c (.f64 d d)))))
	52.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) d))
✓	52.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
✓	50.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 a c) d) b) d))
	40.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 #s(approx (+ (* b (/ (* c (neg c)) d)) (* a c)) (.f64 c (.f64 b (/.f64 c (neg.f64 d))))) d)) d))
	51.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c))
	41.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* a c) d) b) (/.f64 (fma.f64 a c (*.f64 b d)) d)) d))
	19.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* a c) d) b) (*.f64 a (/.f64 c d))) d))
	19.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) d))
✓	43.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	52.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 c (/.f64 a d) b))))
	42.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
	42.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	60.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 (fma.f64 c (/.f64 a b) d) (neg.f64 (fma.f64 d d (.f64 c c)))) (neg.f64 b)))
	43.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
	42.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))))
✓	42.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
✓	60.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b)))
✓	39.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
	29.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 d d)))))
	19.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c)))))
	20.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* d (/ b (+ (* d d) (* c c)))) (.f64 b (/.f64 d (.f64 c c)))))

Compiler

Compiled 1 075 to 390 computations (63.7% saved)

regimes94.0ms (0.6%)

Memory

-26.0MiB live, 114.5MiB allocated

Counts

55 → 5

Calls

Call 1

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

Calls

5 calls:

27.0ms	d
18.0ms	b
17.0ms	a
15.0ms	c
15.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
72.9%	3	`a`
70.0%	3	`b`
85.6%	5	`c`
88.3%	5	`d`
77.9%	2	`(/.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 (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

52 → 5

Calls

Call 1

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
87.6%	5	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes68.0ms (0.4%)

Memory

-2.6MiB live, 35.4MiB allocated

Counts

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

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

Calls

3 calls:

44.0ms	d
11.0ms	c
11.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
61.5%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
77.8%	3	`c`
80.7%	4	`d`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes13.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
80.2%	4	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes63.0ms (0.4%)

Memory

-33.1MiB live, 45.5MiB allocated

Counts

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

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

Calls

3 calls:

11.0ms	a
9.0ms	d
9.0ms	c

Results

Accuracy	Segments	Branch
63.5%	3	`a`
72.1%	4	`c`
72.5%	4	`d`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes30.0ms (0.2%)

Memory

14.9MiB live, 51.4MiB allocated

Counts

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

Calls

3 calls:

11.0ms	b
9.0ms	d
9.0ms	c

Results

Accuracy	Segments	Branch
57.8%	4	`b`
66.2%	4	`c`
68.4%	4	`d`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
67.6%	4	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

Memory

-14.6MiB live, 23.4MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

2 calls:

7.0ms	d
5.0ms	c

Results

Accuracy	Segments	Branch
64.2%	3	`c`
64.4%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0%)

Memory

17.9MiB live, 17.9MiB 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:

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

Results

Accuracy	Segments	Branch
42.2%	1	`b`
42.2%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
42.2%	1	`a`
42.2%	1	`c`
42.2%	1	`d`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch56.0ms (0.4%)

Memory

5.8MiB live, 88.9MiB 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	4.668394567477622e+98	4.569749873232705e+104
10.0ms	2.1665860459040674e-139	3.192162362795745e-138
15.0ms	-1.4544641304953497e-129	-7.413142975045777e-146
11.0ms	-2.0006622547003377e+102	-7.90142217084402e+101

Samples

35.0ms

480×

valid

Compiler

Compiled 1 250 to 616 computations (50.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 15.0ms (69.2% of total)

ival-add: 4.0ms (18.4% of total)

ival-div: 3.0ms (13.8% of total)

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

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

bsearch38.0ms (0.2%)

Memory

-18.3MiB live, 58.6MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	2.0292844738796647e+78	5.790208285403959e+84
3.0ms	2.1665860459040674e-139	3.192162362795745e-138
9.0ms	-1.4544641304953497e-129	-7.413142975045777e-146
5.0ms	-2.0006622547003377e+102	-7.90142217084402e+101

Samples

20.0ms

320×

valid

Compiler

Compiled 1 010 to 586 computations (42% saved)

Precisions

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

ival-mult: 7.0ms (58.4% of total)

ival-div: 2.0ms (16.7% of total)

ival-add: 2.0ms (16.7% of total)

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

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

bsearch40.0ms (0.3%)

Memory

9.5MiB live, 51.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	4.668394567477622e+98	4.569749873232705e+104
9.0ms	1.812254700951248e-107	2.2919328338774333e-106
17.0ms	-695313150872.529	-904357.6651345901

Samples

22.0ms

352×

valid

Compiler

Compiled 760 to 453 computations (40.4% saved)

Precisions

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

ival-mult: 8.0ms (60.3% of total)

ival-add: 3.0ms (22.6% of total)

ival-div: 2.0ms (15.1% of total)

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

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

bsearch44.0ms (0.3%)

Memory

-24.5MiB live, 14.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
42.0ms	4.668394567477622e+98	4.569749873232705e+104
0.0ms	1.812254700951248e-107	2.2919328338774333e-106
1.0ms	-695313150872.529	-904357.6651345901

Samples

38.0ms

96×

valid

Compiler

Compiled 724 to 417 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (54.9% of total)

ival-div: 1.0ms (27.5% of total)

ival-add: 1.0ms (27.5% of total)

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

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

bsearch25.0ms (0.2%)

Memory

3.9MiB live, 41.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
2.0ms	4.668394567477622e+98	4.569749873232705e+104
16.0ms	3.192162362795745e-138	3.735379950264922e-123
5.0ms	-695313150872.529	-904357.6651345901

Samples

13.0ms

208×

valid

Compiler

Compiled 749 to 447 computations (40.3% saved)

Precisions

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

ival-mult: 5.0ms (61.2% of total)

ival-add: 2.0ms (24.5% of total)

ival-div: 1.0ms (12.2% of total)

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

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

bsearch13.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	4.668394567477622e+98	4.569749873232705e+104
1.0ms	3.192162362795745e-138	3.735379950264922e-123
4.0ms	-695313150872.529	-904357.6651345901

Samples

7.0ms

112×

valid

Compiler

Compiled 659 to 411 computations (37.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (68% of total)

ival-div: 1.0ms (22.7% of total)

ival-add: 1.0ms (22.7% of total)

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

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

bsearch10.0ms (0.1%)

Memory

-22.0MiB live, 15.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	4.668394567477622e+98	4.569749873232705e+104
1.0ms	3.192162362795745e-138	3.735379950264922e-123
1.0ms	-695313150872.529	-904357.6651345901

Samples

6.0ms

64×

valid

Compiler

Compiled 659 to 411 computations (37.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (41.6% of total)

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

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

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

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

bsearch9.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.812254700951248e-107	2.2919328338774333e-106
1.0ms	-695313150872.529	-904357.6651345901

Samples

5.0ms

80×

valid

Compiler

Compiled 292 to 198 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (62.7% of total)

ival-add: 1.0ms (31.3% of total)

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

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

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

simplify18.0ms (0.1%)

Memory

-27.0MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	885
1	117	885

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d)) (if (<=.f64 d #s(literal -2059439298039183/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 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 4022342378982779/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 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 449999999999999984947710223467428382324947866571069521804164756054593737796947679601452360897613128531968 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 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) d))))))
(if (<=.f64 d #s(literal -1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d)) (if (<=.f64 d #s(literal -8924236958169793/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 5094967013378187/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 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 21000000000000000795430259102936028307239711875580412302320930769351183779758080 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 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) d))))))
(if (<=.f64 d #s(literal -3000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d)) (if (<=.f64 d #s(literal 8676359590372013/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 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 14000000000000000424678040328114676031329170299169360236504169842269484491227024097984903641541224955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) d)))))
(if (<=.f64 d #s(literal -3000000 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 8676359590372013/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 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 14599999999999999789253702775028575314169465747597800114611978930424033761955526928317489152563412467712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -2050000 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 5933020476811757/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 14599999999999999789253702775028575314169465747597800114611978930424033761955526928317489152563412467712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -2750000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 5933020476811757/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 74999999999999992186503848873513880730080664195755959229161850837389970267875526406540758682579515736064 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -2750000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 3068803694902633/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 23999999999999998454541845546314794771959728984537919946207601798872407971411004084959277042489526059008 binary64)) #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 b d)))))
(if (<=.f64 d #s(literal -2750000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 5123183758124427/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 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 -1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d)) (if (<=.f64 d #s(literal -2059439298039183/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 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 4022342378982779/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 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 449999999999999984947710223467428382324947866571069521804164756054593737796947679601452360897613128531968 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 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) d))))))
(if (<=.f64 d #s(literal -1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (.f64 a (/.f64 #s(literal 1 binary64) d)) b) d)) (if (<=.f64 d #s(literal -2059439298039183/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 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 4022342378982779/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 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 449999999999999984947710223467428382324947866571069521804164756054593737796947679601452360897613128531968 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 c (*.f64 a (/.f64 #s(literal 1 binary64) d)) b) d))))))
(if (<=.f64 d #s(literal -1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d)) (if (<=.f64 d #s(literal -8924236958169793/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 5094967013378187/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 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 21000000000000000795430259102936028307239711875580412302320930769351183779758080 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 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) d))))))
(if (<=.f64 d #s(literal -1499999999999999903408865346644674673247483061533619996637975112429525498213187755309954815155595378688 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (.f64 a (/.f64 #s(literal 1 binary64) d)) b) d)) (if (<=.f64 d #s(literal -8924236958169793/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 5094967013378187/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 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 21000000000000000795430259102936028307239711875580412302320930769351183779758080 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 c (*.f64 a (/.f64 #s(literal 1 binary64) d)) b) d))))))
(if (<=.f64 d #s(literal -3000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d)) (if (<=.f64 d #s(literal 8676359590372013/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 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 14000000000000000424678040328114676031329170299169360236504169842269484491227024097984903641541224955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) d)))))
(if (<=.f64 d #s(literal -3000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (.f64 a (/.f64 #s(literal 1 binary64) d)) b) d)) (if (<=.f64 d #s(literal 8676359590372013/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 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 14000000000000000424678040328114676031329170299169360236504169842269484491227024097984903641541224955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) d)) b) d)))))
(if (<=.f64 d #s(literal -3000000 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 8676359590372013/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 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 14599999999999999789253702775028575314169465747597800114611978930424033761955526928317489152563412467712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -3000000 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 8676359590372013/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 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 14599999999999999789253702775028575314169465747597800114611978930424033761955526928317489152563412467712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -2050000 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 5933020476811757/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 14599999999999999789253702775028575314169465747597800114611978930424033761955526928317489152563412467712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -2050000 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 5933020476811757/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 14599999999999999789253702775028575314169465747597800114611978930424033761955526928317489152563412467712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -2750000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 5933020476811757/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 74999999999999992186503848873513880730080664195755959229161850837389970267875526406540758682579515736064 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -2750000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 5933020476811757/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 74999999999999992186503848873513880730080664195755959229161850837389970267875526406540758682579515736064 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -2750000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 3068803694902633/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 23999999999999998454541845546314794771959728984537919946207601798872407971411004084959277042489526059008 binary64)) #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 b d)))))
(if (<=.f64 d #s(literal -2750000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 5123183758124427/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 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))

soundness865.0ms (5.5%)

Memory

42.6MiB live, 788.0MiB allocated

Rules

11 170×	`lower-fma.f64`
11 170×	`lower-fma.f32`
8 528×	`lower-fma.f32`
8 520×	`lower-fma.f64`
7 676×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	9588
1	1259	9248
2	4084	8804
0	8381	8269
0	186	1356
1	618	1346
2	1892	1322
3	5763	1320
0	8185	1190
0	34	216
0	55	216
1	181	216
2	1303	216
0	8449	216
0	30	155
0	45	153
1	155	153
2	1010	153
0	8259	153
0	11	32
0	18	32
1	58	32
2	435	32
3	5073	32
0	8760	28

Stop Event

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

Compiler

Compiled 1 042 to 390 computations (62.6% saved)

preprocess146.0ms (0.9%)

Memory: -19.8MiB live, 138.7MiB allocated
Compiler: Compiled 936 to 250 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	30	200
0	45	198
1	62	198
2	74	198
3	115	198
4	164	198
5	204	198
6	252	198
7	293	198
8	321	198
9	343	198
10	349	198
0	349	198

Iter	Nodes	Cost
0	30	200
0	45	198
1	62	198
2	74	198
3	115	198
4	164	198
5	204	198
6	252	198
7	293	198
8	321	198
9	343	198
10	349	198
0	349	198

analyze26.0ms (0.2%)

sample6.4s (40.5%)

preprocess328.0ms (2.1%)

explain514.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize55.0ms (0.3%)

series13.0ms (0.1%)

simplify548.0ms (3.5%)

rewrite616.0ms (3.9%)

eval82.0ms (0.5%)

prune159.0ms (1%)

simplify432.0ms (2.7%)

localize157.0ms (1%)

series162.0ms (1%)

simplify361.0ms (2.3%)

rewrite667.0ms (4.2%)

eval294.0ms (1.9%)

prune182.0ms (1.1%)

simplify17.0ms (0.1%)

localize83.0ms (0.5%)

series27.0ms (0.2%)

simplify377.0ms (2.4%)

rewrite408.0ms (2.6%)

eval341.0ms (2.2%)

prune530.0ms (3.3%)

simplify269.0ms (1.7%)

localize113.0ms (0.7%)

series39.0ms (0.2%)

simplify349.0ms (2.2%)

rewrite303.0ms (1.9%)

eval245.0ms (1.5%)

prune155.0ms (1%)

regimes94.0ms (0.6%)

regimes17.0ms (0.1%)

regimes68.0ms (0.4%)

regimes13.0ms (0.1%)

regimes63.0ms (0.4%)

regimes30.0ms (0.2%)

regimes6.0ms (0%)

regimes13.0ms (0.1%)

regimes7.0ms (0%)

bsearch56.0ms (0.4%)

bsearch38.0ms (0.2%)

bsearch40.0ms (0.3%)

bsearch44.0ms (0.3%)

bsearch25.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch9.0ms (0.1%)

simplify18.0ms (0.1%)

soundness865.0ms (5.5%)

preprocess146.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	30	200
0	45	198
1	62	198
2	74	198
3	115	198
4	164	198
5	204	198
6	252	198
7	293	198
8	321	198
9	343	198
10	349	198
0	349	198