Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze47.0ms (0.6%)

Memory

0.4MiB live, 36.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.0s (11.8%)

Memory

1.9MiB live, 1 278.1MiB allocated

Samples

736.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-mult: 286.0ms (58.9% of total)

ival-add: 102.0ms (21% of total)

ival-div: 90.0ms (18.5% of total)

ival-true: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain120.0ms (1.4%)

Memory

11.3MiB live, 177.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
104	-	2	(1.4051859905377273e-72 4.396484622268352e+128 -5.910706511131661e-159 5.765030824126955e-211)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
1	-	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	45	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	58
↳	`(*.f64 a c)`	overflow	29
↳	`(*.f64 b d)`	overflow	31
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	111
↳	`(*.f64 c c)`	overflow	62
↳	`(*.f64 d d)`	overflow	66
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	34	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	111
↳	`(*.f64 c c)`	overflow	62
↳	`(*.f64 d d)`	overflow	66
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	13	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	58
↳	`(*.f64 a c)`	overflow	29
↳	`(*.f64 b d)`	overflow	31
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	5	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	14
↳	`(*.f64 c c)`	underflow	62
↳	`(*.f64 d d)`	underflow	71
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	3	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	5
↳	`(*.f64 a c)`	underflow	31
↳	`(*.f64 b d)`	underflow	33
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	14
↳	`(*.f64 c c)`	underflow	62
↳	`(*.f64 d d)`	underflow	71
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	2	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	5
↳	`(*.f64 a c)`	underflow	31
↳	`(*.f64 b d)`	underflow	33
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	1	0
↳	`(*.f64 a c)`	overflow	29
↳	`(*.f64 b d)`	overflow	31

Confusion

	Predicted +	Predicted -
+	102	2
-	0	152

Precision

1.0

Recall

0.9807692307692307

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	102	0	2
-	0	0	152

Precision?

1.0

Recall?

0.9807692307692307

Freqs

test

number	freq
0	154
1	101
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions

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

ival-mult: 19.0ms (70.3% of total)

ival-add: 4.0ms (14.8% of total)

ival-div: 3.0ms (11.1% of total)

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

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

preprocess326.0ms (3.8%)

Memory

7.5MiB live, 45.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.2%	(/.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

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.5%)

Memory

-20.8MiB live, 64.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b d)
accuracy	0	(*.f64 a c)
accuracy	0.21093750000000003	(+.f64 (.f64 a c) (.f64 b d))
accuracy	24.650622177932394	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

21.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 7.0ms (66.4% of total)

ival-add: 2.0ms (19% of total)

ival-div: 1.0ms (9.5% of total)

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

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

series17.0ms (0.2%)

Memory

-16.1MiB live, 22.0MiB allocated

Counts

5 → 168

Calls

Call 1

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

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

Calls

42 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))

simplify186.0ms (2.2%)

Memory

13.9MiB live, 250.2MiB 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	1428
1	618	1418
2	1892	1394
3	5763	1392
0	8185	1262

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite368.0ms (4.3%)

Memory

33.0MiB live, 223.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 346

Calls

Call 1

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

Outputs
(+.f64 (.f64 a c) (.f64 b d))
(+.f64 (.f64 b d) (.f64 a c))
(+.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d)))))
(+.f64 (neg.f64 (.f64 b (neg.f64 d))) (neg.f64 (.f64 a (neg.f64 c))))
(+.f64 (neg.f64 (.f64 a (neg.f64 c))) (neg.f64 (.f64 b (neg.f64 d))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))))
(-.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (fma.f64 b d (.f64 a (neg.f64 c)))) (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b d (.f64 a (neg.f64 c)))))
(fma.f64 a c (*.f64 b d))
(fma.f64 a (/.f64 (.f64 a (.f64 c c)) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 c a (*.f64 b d))
(fma.f64 c (/.f64 (.f64 a (.f64 a c)) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 b d))
(fma.f64 (.f64 a c) (/.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 d (exp.f64 (log.f64 b)) (*.f64 a c))
(fma.f64 (.f64 c c) (/.f64 (.f64 a a) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d)))))
(fma.f64 (.f64 a a) (/.f64 (.f64 c c) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (.f64 a (.f64 c c)) (/.f64 a (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (.f64 a (.f64 a c)) (/.f64 c (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (fma.f64 a c (.f64 b d)) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 (.f64 b d) (fma.f64 a c (.f64 b d)))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 b d))
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 a c))
(neg.f64 (neg.f64 (fma.f64 a c (*.f64 b d))))
(/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d)))))
(/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (.f64 a (neg.f64 c))) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c))))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (neg.f64 (-.f64 (.f64 a c) (.f64 b d)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))))
(/.f64 (neg.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (neg.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (fma.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c)))) (fma.f64 b d (.f64 a (neg.f64 c))))
(/.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (*.f64 d d)))))))
(/.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (fma.f64 (.f64 b (.f64 b (.f64 d d))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c))))))))
(/.f64 (.f64 (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c)))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b (.f64 b (.f64 d d))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c)))))) (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))))
(/.f64 (.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) #s(literal 1 binary64)) (neg.f64 (-.f64 (.f64 a c) (*.f64 b d))))
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eval119.0ms (1.4%)

Memory: -6.1MiB live, 67.4MiB allocated
Compiler: Compiled 17 875 to 1 042 computations (94.2% saved)

prune172.0ms (2%)

Memory

6.7MiB live, 92.9MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

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

Accuracy

99.4%

Counts

515 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
▶	36.4%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
▶	61.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d))))
	60.4%	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
	47.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
	54.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
▶	54.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	48.9%	#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))
	37.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
▶	41.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
	40.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	43.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Compiler

Compiled 358 to 200 computations (44.1% saved)

simplify27.0ms (0.3%)

Memory

-25.6MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

390×	`lower-*.f32`
382×	`lower-*.f64`
182×	`lower-/.f32`
170×	`associate-r`
168×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	211
0	49	211
1	64	211
2	80	209
3	115	209
4	171	209
5	207	209
6	267	209
7	333	209
8	409	209
9	478	209
10	555	209
11	594	209
12	600	209
13	604	209
14	604	209
0	604	209

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize107.0ms (1.3%)

Memory

27.9MiB live, 66.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a c)
accuracy	0.21093750000000003	(+.f64 (.f64 a c) (.f64 b d))
accuracy	24.650622177932394	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy	26.813019343318977	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	0	(/.f64 c d)
accuracy	0.5225642296829496	(/.f64 (fma.f64 a (/.f64 c d) b) d)
accuracy	2.893114722672073	(fma.f64 a (/.f64 c d) b)
accuracy	29.150727299138484	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
accuracy	0	(*.f64 c c)
accuracy	0	(*.f64 a c)
accuracy	16.691776848632973	(/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))
accuracy	25.714432983479902	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
accuracy	0	(/.f64 a c)
accuracy	36.21997056444782	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0	(*.f64 b d)
accuracy	0.24999724760556022	(fma.f64 a c (*.f64 b d))
accuracy	0.5686242949713741	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d))))
accuracy	24.380928626178893	(/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d)))

Samples

38.0ms

256×

valid

Compiler

Compiled 201 to 23 computations (88.6% saved)

Precisions

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

ival-div: 10.0ms (44.9% of total)

ival-mult: 8.0ms (35.9% of total)

ival-add: 4.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.7%)

Memory

4.4MiB live, 44.9MiB allocated

Counts

20 → 708

Calls

Call 1

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

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

Calls

177 calls:

Time	Variable		Point	Expression
9.0ms	c	@	inf	(+ (* c c) (* d d))
4.0ms	d	@	0	(/ (* a c) (+ (* d d) (* c c)))
1.0ms	d	@	inf	(* d d)
1.0ms	c	@	-inf	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
1.0ms	a	@	0	(/ (* a c) (+ (* d d) (* c c)))

simplify486.0ms (5.7%)

Memory

-23.4MiB live, 242.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 160×	`lower-*.f64`
7 160×	`lower-*.f32`
6 326×	`lower-fma.f64`
6 326×	`lower-fma.f32`
3 092×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	639	9532
1	2177	9305
0	8075	8616

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 702

Calls

Call 1

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

rewrite779.0ms (9.1%)

Memory

0.5MiB live, 366.1MiB allocated

Rules

9 014×	`lower-fma.f32`
9 006×	`lower-fma.f64`
6 350×	`lower-*.f32`
6 342×	`lower-*.f64`
3 598×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	184
0	49	182
1	162	182
2	1095	182
0	8663	182

Stop Event

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

Counts

20 → 1 283

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 d b) (fma.f64 c c (*.f64 d d)))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) d) b) (/.f64 (.f64 c a) (fma.f64 c c (*.f64 d d))))
(+.f64 (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d)))) (/.f64 (.f64 c a) (fma.f64 c c (*.f64 d d))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))) (neg.f64 (.f64 c a))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))) (.f64 d (neg.f64 b))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))) (.f64 d (neg.f64 b))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))) (neg.f64 (.f64 c a))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d))))) (.f64 c (.f64 c (.f64 c c)))) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d))))) (.f64 (.f64 d d) (.f64 (+.f64 d c) (-.f64 d c)))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d))))) (.f64 (.f64 d d) (.f64 (+.f64 d c) (-.f64 d c)))) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d))))) (.f64 c (.f64 c (.f64 c c)))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d))))) (.f64 d (.f64 d (.f64 d d)))) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d))))) (.f64 c (.f64 c (.f64 (+.f64 c d) (-.f64 c d))))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d))))) (.f64 c (.f64 c (.f64 (+.f64 c d) (-.f64 c d))))) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d))))) (.f64 d (.f64 d (.f64 d d)))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (.f64 c c)) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (.f64 d (neg.f64 d))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 d c) (-.f64 d c)))) (.f64 d d)) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 d c) (-.f64 d c)))) (.f64 c (neg.f64 c))))
(+.f64 (.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) d) b) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 c a) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d)))) (/.f64 (.f64 c a) (fma.f64 c c (*.f64 d d))))
(+.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d)))))) (.f64 (.f64 (.f64 d d) (.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d)))))))
(+.f64 (.f64 (.f64 (.f64 d d) (.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d)))))) (.f64 (.f64 c (.f64 c (.f64 c c))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d)))))))
(+.f64 (.f64 (.f64 d (.f64 d (.f64 d d))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d)))))) (.f64 (.f64 c (.f64 c (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d)))))))
(+.f64 (.f64 (.f64 c (.f64 c (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d)))))) (.f64 (.f64 d (.f64 d (.f64 d d))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 d (.f64 d d)))))))
(+.f64 (.f64 (.f64 c c) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d))))) (.f64 (.f64 d (neg.f64 d)) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d))))))
(+.f64 (.f64 (.f64 d d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 d c) (-.f64 d c))))) (.f64 (.f64 c (neg.f64 c)) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 d c) (-.f64 d c))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 c a (*.f64 d b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c c (.f64 d d)))))
(-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) d) b) (neg.f64 (/.f64 (.f64 c a) (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) (neg.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (.f64 d d)))) (neg.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (-.f64 (.f64 c a) (.f64 d b))) (fma.f64 c c (.f64 d d))) (/.f64 (/.f64 (.f64 b (.f64 d (.f64 d b))) (-.f64 (.f64 c a) (.f64 d b))) (fma.f64 c c (.f64 d d))))
(-.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 (fma.f64 c c (.f64 d d)) (-.f64 (.f64 c a) (.f64 d b)))) (/.f64 (.f64 b (.f64 d (.f64 d b))) (.f64 (fma.f64 c c (.f64 d d)) (-.f64 (.f64 c a) (.f64 d b)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 d b) (fma.f64 c c (*.f64 d d)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) d) b) (/.f64 (.f64 c a) (fma.f64 c c (*.f64 d d))))
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(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c a (*.f64 d b))))
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(neg.f64 (neg.f64 (fma.f64 c a (*.f64 d b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 d b) (.f64 c a)))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 d b))))
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(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)) (.f64 d (.f64 b (.f64 b (.f64 d (.f64 d b)))))) (fma.f64 d (.f64 d (.f64 b b)) (.f64 (.f64 c a) (-.f64 (.f64 c a) (*.f64 d b)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)) (.f64 d (.f64 b (.f64 b (.f64 d (.f64 d b)))))) (neg.f64 (neg.f64 (fma.f64 c (.f64 c (.f64 a a)) (.f64 d (.f64 b (-.f64 (.f64 d b) (*.f64 c a))))))))
(/.f64 (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 c a) (.f64 d b))) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 c a) (.f64 d b))) (neg.f64 (neg.f64 (-.f64 (.f64 c a) (.f64 d b)))))
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(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)) (.f64 d (.f64 b (.f64 b (.f64 d (.f64 d b))))))) (neg.f64 (fma.f64 d (.f64 d (.f64 b b)) (.f64 (.f64 c a) (-.f64 (.f64 c a) (*.f64 d b))))))
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(/.f64 (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 d b) (.f64 c a))) (-.f64 (.f64 d b) (.f64 c a)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)) (.f64 d (.f64 b (.f64 b (.f64 d (.f64 d b)))))))) (fma.f64 c (.f64 c (.f64 a a)) (.f64 d (.f64 b (-.f64 (.f64 d b) (*.f64 c a))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)) (.f64 d (.f64 b (.f64 b (.f64 d (.f64 d b)))))))) (neg.f64 (neg.f64 (fma.f64 c (.f64 c (.f64 a a)) (.f64 d (.f64 b (-.f64 (.f64 d b) (*.f64 c a))))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 c a (.f64 d b))) (-.f64 (.f64 c a) (.f64 d b)))) (-.f64 (.f64 c a) (.f64 d b)))
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(/.f64 (neg.f64 (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 d b) (.f64 c a)))) (neg.f64 (-.f64 (.f64 d b) (.f64 c a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (-.f64 (.f64 c a) (.f64 d b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b (.f64 d (.f64 d b))) (-.f64 (.f64 c a) (.f64 d b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (-.f64 (.f64 c a) (.f64 d b))) (/.f64 (.f64 c (.f64 c (.f64 a a))) (-.f64 (.f64 c a) (.f64 d b))) (fma.f64 (/.f64 (.f64 b (.f64 d (.f64 d b))) (-.f64 (.f64 c a) (.f64 d b))) (/.f64 (.f64 b (.f64 d (.f64 d b))) (-.f64 (.f64 c a) (.f64 d b))) (.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (-.f64 (.f64 c a) (.f64 d b))) (/.f64 (.f64 b (.f64 d (.f64 d b))) (-.f64 (.f64 c a) (*.f64 d b)))))))
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(pow.f64 (fma.f64 c a (*.f64 d b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))
(.f64 (fma.f64 c a (.f64 d b)) #s(literal 1 binary64))
(.f64 (fma.f64 c a (.f64 d b)) (.f64 (-.f64 (.f64 c a) (.f64 d b)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (*.f64 d b)))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 c a (.f64 d b))))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)) (.f64 d (.f64 b (.f64 b (.f64 d (.f64 d b))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 c (.f64 a a)) (.f64 d (.f64 b (-.f64 (.f64 d b) (.f64 c a)))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 c a) (.f64 d b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (*.f64 d b))))
(exp.f64 (log.f64 (*.f64 c c)))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(*.f64 c c)
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(.f64 #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))
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eval579.0ms (6.8%)

Memory: -15.8MiB live, 317.9MiB allocated
Compiler: Compiled 57 459 to 3 360 computations (94.2% saved)

prune722.0ms (8.5%)

Memory

21.1MiB live, 607.6MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	2 049	13	2 062
Fresh	3	4	7
Picked	2	3	5
Done	0	0	0
Total	2 054	20	2 074

Accuracy

99.8%

Counts

2 074 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.4%	(/.f64 (fma.f64 c a (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
▶	17.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	47.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (fma.f64 d (fma.f64 d (fma.f64 b (/.f64 b (.f64 a (.f64 a (.f64 a c)))) (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (*.f64 (neg.f64 a) a))) (/.f64 c a))))
	50.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (fma.f64 c (fma.f64 c (fma.f64 a (/.f64 a (.f64 b (.f64 b (.f64 b d)))) (/.f64 #s(literal 1 binary64) (.f64 b d))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b))))
	40.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
	43.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
	47.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
▶	54.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
	54.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
✓	54.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	37.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
✓	41.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
	19.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) #s(approx (+ ( d d) (* c c)) (*.f64 d d))))
▶	21.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
▶	40.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	54.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d)))
	43.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	34.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (.f64 a c)) (.f64 d d))))
	19.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (.f64 a (/.f64 c (.f64 d d)))))

Compiler

Compiled 564 to 310 computations (45% saved)

simplify30.0ms (0.3%)

Memory

-27.1MiB live, 32.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

360×	`lower-*.f32`
352×	`lower-*.f64`
190×	`times-frac`
166×	`associate-r`
164×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	246
0	51	243
1	70	239
2	83	239
3	125	239
4	183	239
5	241	239
6	284	239
7	371	239
8	400	239
9	449	239
10	497	239
11	545	239
12	597	239
0	597	227

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (1.1%)

Memory

29.4MiB live, 140.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 b c)
accuracy	1.0207460464562021	(/.f64 (fma.f64 d (/.f64 b c) a) c)
accuracy	1.7450528996484305	(fma.f64 d (/.f64 b c) a)
accuracy	29.13004206412582	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
accuracy	0.5225642296829496	(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d)
accuracy	5.542797827217633	(/.f64 (*.f64 a c) d)
accuracy	29.150727299138484	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
accuracy	31.25373016128515	#s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d))
accuracy	0	(*.f64 b d)
accuracy	24.650622177932394	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
accuracy	26.813019343318977	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	30.415277977663447	#s(approx (+ (* a c) (* b d)) (*.f64 b d))
accuracy	0	(/.f64 b d)
accuracy	37.81111729452952	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy	0	(/.f64 #s(literal 1 binary64) d)
accuracy	0.6475642296829496	(*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d))
accuracy	1.6976894269300988	(fma.f64 c (/.f64 a d) b)
accuracy	29.150727299138484	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d)))

Samples

58.0ms

256×

valid

Compiler

Compiled 184 to 29 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 23.0ms (54.5% of total)

ival-div: 14.0ms (33.2% of total)

ival-add: 5.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series68.0ms (0.8%)

Memory

-15.3MiB live, 72.9MiB allocated

Counts

19 → 744

Calls

Call 1

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

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

Calls

186 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(/ (* a c) d)
1.0ms	d	@	0	(/ (* a c) d)
1.0ms	c	@	-inf	(/ (+ (* d (/ b c)) a) c)
0.0ms	a	@	0	(/ (+ (* d (/ b c)) a) c)
0.0ms	b	@	-inf	(/ (+ (* d (/ b c)) a) c)

simplify296.0ms (3.5%)

Memory

-8.8MiB live, 466.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 712×	`lower-fma.f64`
6 712×	`lower-fma.f32`
4 696×	`lower-*.f64`
4 696×	`lower-*.f32`
4 000×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	7938
1	992	7888
2	3195	7768
3	7284	7768
0	8295	7180

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 726

Calls

Call 1

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

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

rewrite291.0ms (3.4%)

Memory

22.1MiB live, 453.9MiB allocated

Rules

6 530×	`lower-fma.f32`
6 526×	`lower-fma.f64`
4 526×	`lower-*.f32`
4 518×	`lower-*.f64`
3 856×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	223
0	51	216
1	193	216
2	1238	216
0	8401	204

Stop Event

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

Counts

19 → 521

Calls

Call 1

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

Outputs
(+.f64 (/.f64 b d) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 c a) d) d))
(+.f64 (/.f64 b d) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d))))
(+.f64 (/.f64 b d) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) d) d)))
(+.f64 (/.f64 b d) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)))
(+.f64 (/.f64 b d) (.f64 (/.f64 (/.f64 (.f64 c a) d) d) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)) (/.f64 b d))
(+.f64 (/.f64 (/.f64 (*.f64 c a) d) d) (/.f64 b d))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d))) (/.f64 b d))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) d) d)) (/.f64 b d))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)) (/.f64 b d))
(+.f64 (.f64 (/.f64 (/.f64 (.f64 c a) d) d) #s(literal 1 binary64)) (/.f64 b d))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)) (/.f64 b (neg.f64 d)))
(-.f64 (/.f64 (/.f64 (*.f64 c a) d) d) (/.f64 b (neg.f64 d)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)) (fma.f64 a (/.f64 c d) (neg.f64 b))) d) (/.f64 (/.f64 (*.f64 b b) (fma.f64 a (/.f64 c d) (neg.f64 b))) d))
(-.f64 (/.f64 (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)) (.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))) (/.f64 (.f64 b b) (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 c a) d) d))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d))))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) d) d)))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 (/.f64 (.f64 c a) d) d) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (/.f64 (/.f64 (*.f64 c a) d) d))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d))))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) d) d)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (.f64 (/.f64 (/.f64 (.f64 c a) d) d) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)) (/.f64 b d))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) d) d) (/.f64 b d))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (/.f64 (/.f64 (*.f64 c a) d) d))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d))))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) d) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (.f64 (/.f64 (/.f64 (.f64 c a) d) d) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d) (/.f64 b d))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 c a) d) d))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d))))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) d) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (.f64 (/.f64 (/.f64 (.f64 c a) d) d) #s(literal 1 binary64)))
(fma.f64 (/.f64 b d) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)))
(fma.f64 (/.f64 b d) #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) d) d))
(fma.f64 (/.f64 b d) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d))))
(fma.f64 (/.f64 b d) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) d) d)))
(fma.f64 (/.f64 b d) #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)))
(fma.f64 (/.f64 b d) #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 c a) d) d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 c a) d) (/.f64 #s(literal 1 binary64) d) (/.f64 b d))
(fma.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 d)) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 d)) (/.f64 (/.f64 (*.f64 c a) d) d))
(fma.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 d)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 d)) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) d) d)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 d)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 d)) (.f64 (/.f64 (/.f64 (.f64 c a) d) d) #s(literal 1 binary64)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (/.f64 (/.f64 (*.f64 c a) d) d))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) d) d)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (.f64 (/.f64 (/.f64 (.f64 c a) d) d) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)) #s(literal 1 binary64) (/.f64 b d))
(fma.f64 (/.f64 (/.f64 (*.f64 c a) d) d) #s(literal 1 binary64) (/.f64 b d))
(fma.f64 (.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)))
(fma.f64 (.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (/.f64 (/.f64 (.f64 c a) d) d))
(fma.f64 (.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d))))
(fma.f64 (.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) d) d)))
(fma.f64 (.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)) #s(literal 1 binary64)))
(fma.f64 (.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (.f64 (/.f64 (/.f64 (*.f64 c a) d) d) #s(literal 1 binary64)))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (/.f64 (/.f64 (*.f64 c a) d) d))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d))))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) d) d)))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d) (.f64 (/.f64 (/.f64 (.f64 c a) d) d) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 c a) d)))
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 c a) d) d))
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d))))
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) d) d)))
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (.f64 (/.f64 (/.f64 (.f64 c a) d) d) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (fma.f64 a (/.f64 c d) b)))
(neg.f64 (*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal -1 binary64) d)))
(neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 d)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (fma.f64 b (-.f64 b (/.f64 (.f64 c a) d)) (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)))) (fma.f64 b (.f64 b b) (/.f64 (.f64 (.f64 c a) (.f64 c (.f64 a (.f64 c a)))) (.f64 d (.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b))) (-.f64 (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 b (-.f64 b (/.f64 (.f64 c a) d)) (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d))) d) (fma.f64 b (.f64 b b) (/.f64 (.f64 (.f64 c a) (.f64 c (.f64 a (.f64 c a)))) (.f64 d (.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 b (-.f64 b (/.f64 (.f64 c a) d)) (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d))) (neg.f64 d)) (.f64 (fma.f64 b (.f64 b b) (/.f64 (.f64 (.f64 c a) (.f64 c (.f64 a (.f64 c a)))) (.f64 d (*.f64 d d)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) d) (-.f64 (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (neg.f64 d)) (.f64 (-.f64 (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)) (*.f64 b b)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 d) (fma.f64 b (-.f64 b (/.f64 (.f64 c a) d)) (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)))) (neg.f64 (fma.f64 b (.f64 b b) (/.f64 (.f64 (.f64 c a) (.f64 c (.f64 a (.f64 c a)))) (.f64 d (.f64 d d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 d) (fma.f64 a (/.f64 c d) (neg.f64 b))) (.f64 (fma.f64 a (/.f64 c d) b) (fma.f64 a (/.f64 c (neg.f64 d)) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (/.f64 (.f64 c a) d)) (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d))) (.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 b (.f64 b b) (/.f64 (.f64 (.f64 c a) (.f64 c (.f64 a (.f64 c a)))) (.f64 d (.f64 d d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)) (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (/.f64 (.f64 c a) d)) (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d))) (/.f64 (fma.f64 b (.f64 b b) (/.f64 (.f64 (.f64 c a) (.f64 c (.f64 a (.f64 c a)))) (.f64 d (*.f64 d d)))) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (/.f64 (-.f64 (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)) (*.f64 b b)) d)))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))))
(/.f64 (fma.f64 b (.f64 b b) (/.f64 (.f64 (.f64 c a) (.f64 c (.f64 a (.f64 c a)))) (.f64 d (.f64 d d)))) (.f64 (fma.f64 b (-.f64 b (/.f64 (.f64 c a) d)) (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d))) d))
(/.f64 (fma.f64 b (.f64 b b) (/.f64 (.f64 (.f64 c a) (.f64 c (.f64 a (.f64 c a)))) (.f64 d (.f64 d d)))) (.f64 d (fma.f64 b (-.f64 b (/.f64 (.f64 c a) d)) (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)))))
(/.f64 (-.f64 (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)) (.f64 b b)) (.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) d))
(/.f64 (-.f64 (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)) (.f64 b b)) (.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b))))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (/.f64 (.f64 (.f64 c a) (.f64 c (.f64 a (.f64 c a)))) (.f64 d (.f64 d d)))) #s(literal -1 binary64)) (.f64 (fma.f64 b (-.f64 b (/.f64 (.f64 c a) d)) (/.f64 (.f64 c (.f64 a (.f64 c a))) (*.f64 d d))) (neg.f64 d)))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)) (.f64 b b)) #s(literal -1 binary64)) (*.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (neg.f64 d)))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(/.f64 (neg.f64 (fma.f64 b (.f64 b b) (/.f64 (.f64 (.f64 c a) (.f64 c (.f64 a (.f64 c a)))) (.f64 d (.f64 d d))))) (.f64 (fma.f64 b (-.f64 b (/.f64 (.f64 c a) d)) (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d))) (neg.f64 d)))
(/.f64 (neg.f64 (fma.f64 b (.f64 b b) (/.f64 (.f64 (.f64 c a) (.f64 c (.f64 a (.f64 c a)))) (.f64 d (.f64 d d))))) (.f64 (neg.f64 d) (fma.f64 b (-.f64 b (/.f64 (.f64 c a) d)) (/.f64 (.f64 c (.f64 a (.f64 c a))) (.f64 d d)))))
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eval194.0ms (2.3%)

Memory: 25.4MiB live, 372.9MiB allocated
Compiler: Compiled 20 404 to 1 311 computations (93.6% saved)

prune172.0ms (2%)

Memory

15.8MiB live, 322.7MiB allocated

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1 238	9	1 247
Fresh	1	11	12
Picked	2	3	5
Done	0	3	3
Total	1 241	26	1 267

Accuracy

99.8%

Counts

1 267 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.4%	(/.f64 (fma.f64 c a (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	37.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (fma.f64 d d (*.f64 c c))))
✓	17.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	47.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (fma.f64 d (fma.f64 d (fma.f64 b (/.f64 b (.f64 a (.f64 a (.f64 a c)))) (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (*.f64 (neg.f64 a) a))) (/.f64 c a))))
	50.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (fma.f64 c (fma.f64 c (fma.f64 a (/.f64 a (.f64 b (.f64 b (.f64 b d)))) (/.f64 #s(literal 1 binary64) (.f64 b d))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b))))
	40.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
▶	43.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
	17.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
	47.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
▶	54.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
✓	54.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
✓	41.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
	19.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) #s(approx (+ ( d d) (* c c)) (*.f64 d d))))
	46.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (fma.f64 (.f64 a b) (/.f64 d (.f64 a c)) a)) c))
	20.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
✓	21.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
▶	24.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
✓	40.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	53.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 d (/.f64 b c) a))))
	53.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c)))
▶	21.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) d) #s(approx (+ ( a (/ c d)) b) (/.f64 (*.f64 c a) d))))
	40.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
▶	43.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	34.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (.f64 a c)) (.f64 d d))))
	19.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (.f64 a (/.f64 c (.f64 d d)))))

Compiler

Compiled 704 to 391 computations (44.5% saved)

simplify21.0ms (0.3%)

Memory

-20.3MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

354×	`lower-*.f32`
346×	`lower-*.f64`
158×	`lower-/.f32`
156×	`lower-fma.f32`
154×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	271
0	52	267
1	75	263
2	85	263
3	116	263
4	122	263
5	169	263
6	199	263
7	214	263
8	225	263
9	261	263
10	302	263
11	341	263
12	413	263
13	493	263
0	493	245

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (1.1%)

Memory

-30.8MiB live, 118.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.6475642296829496	(.f64 (/.f64 #s(literal 1 binary64) d) #s(approx (+ ( a (/ c d)) b) (/.f64 (*.f64 c a) d)))
accuracy	5.542797827217633	(/.f64 (*.f64 c a) d)
accuracy	29.150727299138484	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) d) #s(approx (+ ( a (/ c d)) b) (/.f64 (*.f64 c a) d))))
accuracy	31.25373016128515	#s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d))
accuracy	0.5225642296829496	(/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)
accuracy	4.593253022637737	(*.f64 (/.f64 c d) a)
accuracy	29.150727299138484	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
accuracy	31.25373016128515	#s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a))
accuracy	0	(/.f64 c a)
accuracy	0.5686242949713741	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
accuracy	36.68412768295308	#s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a))
accuracy	0	(/.f64 #s(literal 1 binary64) c)
accuracy	0.21875	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
accuracy	36.21997056444782	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
accuracy	0	(/.f64 d c)
accuracy	1.0207460464562021	(/.f64 (fma.f64 b (/.f64 d c) a) c)
accuracy	3.3311997614643816	(fma.f64 b (/.f64 d c) a)
accuracy	29.13004206412582	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))

Samples

68.0ms

256×

valid

Compiler

Compiled 194 to 32 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 16.0ms (45.1% of total)

ival-mult: 15.0ms (42.3% of total)

ival-add: 4.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.4%)

Memory

23.0MiB live, 61.5MiB allocated

Counts

19 → 744

Calls

Call 1

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

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

Calls

186 calls:

Time	Variable		Point	Expression
0.0ms	c	@	-inf	(/ c a)
0.0ms	c	@	0	(/ c a)
0.0ms	c	@	-inf	(/ d c)
0.0ms	c	@	inf	(/ c a)
0.0ms	d	@	-inf	(/ d c)

simplify337.0ms (4%)

Memory

7.9MiB live, 281.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 762×	`lower-*.f64`
6 762×	`lower-*.f32`
5 680×	`lower-fma.f64`
5 680×	`lower-fma.f32`
3 378×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	569	9575
1	1979	9368
2	7644	9290
0	8189	8674

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 726

Calls

Call 1

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

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

rewrite277.0ms (3.2%)

Memory

-11.3MiB live, 272.0MiB allocated

Rules

6 576×	`lower-fma.f32`
6 574×	`lower-fma.f64`
4 602×	`lower-*.f32`
4 594×	`lower-*.f64`
3 862×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	248
0	52	244
1	187	240
2	1196	240
0	8339	222

Stop Event

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

Counts

19 → 407

Calls

Call 1

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

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

eval157.0ms (1.8%)

Memory: 3.3MiB live, 227.3MiB allocated
Compiler: Compiled 17 796 to 1 301 computations (92.7% saved)

prune188.0ms (2.2%)

Memory

28.6MiB live, 334.3MiB allocated

Pruning

29 alts after pruning (18 fresh and 11 done)

	Pruned	Kept	Total
New	1 126	7	1 133
Fresh	4	11	15
Picked	0	5	5
Done	0	6	6
Total	1 130	29	1 159

Accuracy

99.8%

Counts

1 159 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.4%	(/.f64 (fma.f64 c a (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	37.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (fma.f64 d d (*.f64 c c))))
✓	17.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	47.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (fma.f64 d (fma.f64 d (fma.f64 b (/.f64 b (.f64 a (.f64 c (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 c a))) (neg.f64 (/.f64 b (*.f64 a a)))) (/.f64 c a))))
	50.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (fma.f64 c (fma.f64 c (fma.f64 a (/.f64 a (.f64 b (.f64 d (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 b d))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b))))
	40.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
✓	43.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
	17.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
✓	54.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	13.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (exp.f64 (-.f64 (.f64 (log.f64 c) #s(literal -1 binary64)) (.f64 (log.f64 d) #s(literal -1 binary64)))) a) c))
	25.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 c d)) #s(literal -1 binary64))) a) c))
✓	54.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
✓	41.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
	19.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) #s(approx (+ ( d d) (* c c)) (*.f64 d d))))
	46.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (fma.f64 (.f64 a b) (/.f64 d (.f64 a c)) a)) c))
	20.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
✓	21.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
✓	24.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
✓	40.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	53.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 d (/.f64 b c) a))))
	53.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c)))
✓	21.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) d) #s(approx (+ ( a (/ c d)) b) (/.f64 (*.f64 c a) d))))
	40.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
✓	43.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	18.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (.f64 b (/.f64 d (.f64 c c)))))
	34.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (.f64 c a)) (.f64 d d))))
	21.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (.f64 c (/.f64 a (.f64 d d)))))
	19.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (.f64 a (/.f64 c (.f64 d d)))))

Compiler

Compiled 963 to 387 computations (59.8% saved)

regimes76.0ms (0.9%)

Memory

-36.6MiB live, 100.1MiB allocated

Counts

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

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

Calls

5 calls:

25.0ms	c
12.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
12.0ms	b
12.0ms	a
12.0ms	d

Results

Accuracy	Segments	Branch
69.7%	3	`a`
68.8%	3	`b`
84.7%	5	`c`
84.8%	4	`d`
80.5%	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes21.0ms (0.2%)

Memory

2.1MiB live, 39.9MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

8.0ms	d
8.0ms	c

Results

Accuracy	Segments	Branch
80.6%	3	`c`
81.4%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

27 → 3

Calls

Call 1

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
81.1%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes22.0ms (0.3%)

Memory

9.1MiB live, 46.9MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

8.0ms	d
7.0ms	c
6.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
60.0%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
75.2%	3	`c`
74.6%	3	`d`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes35.0ms (0.4%)

Memory

-16.0MiB live, 61.1MiB allocated

Counts

21 → 4

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	c
8.0ms	b
6.0ms	d
6.0ms	a

Results

Accuracy	Segments	Branch
53.7%	3	`b`
57.5%	4	`a`
69.1%	4	`d`
66.1%	3	`c`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

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

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
67.3%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory

-19.0MiB live, 19.1MiB 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:

3.0ms	b
1.0ms	c
1.0ms	d
1.0ms	a
1.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
43.4%	1	`b`
43.4%	1	`a`
43.4%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
43.4%	1	`c`
43.4%	1	`d`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch56.0ms (0.7%)

Memory

14.0MiB live, 89.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	0.2397724572641144	162555.63202523545
16.0ms	-4.141746550863699e-149	-1.162627294685648e-154
14.0ms	-1.5534216789873261e+78	-7.0246180535844465e+68

Samples

37.0ms

432×

valid

Compiler

Compiled 904 to 540 computations (40.3% saved)

Precisions

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

ival-mult: 18.0ms (74.6% of total)

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

ival-div: 2.0ms (8.3% of total)

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

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

bsearch13.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.2397724572641144	162555.63202523545
11.0ms	-5.696186563138179e-74	-4.0308919879396733e-76

Samples

7.0ms

112×

valid

Compiler

Compiled 488 to 292 computations (40.2% saved)

Precisions

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

ival-mult: 3.0ms (72.7% of total)

ival-div: 1.0ms (24.2% of total)

ival-add: 1.0ms (24.2% of total)

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

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.2397724572641144	162555.63202523545
0.0ms	-5.696186563138179e-74	-4.0308919879396733e-76

Compiler

Compiled 470 to 274 computations (41.7% saved)

bsearch23.0ms (0.3%)

Memory

5.5MiB live, 44.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.1760012914803137e+36	1.0558915979809034e+38
10.0ms	-1.3812163793483908e-33	-2.2909031127343554e-34

Samples

12.0ms

208×

valid

Compiler

Compiled 321 to 200 computations (37.7% saved)

Precisions

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

ival-mult: 5.0ms (65.5% of total)

ival-add: 2.0ms (26.2% of total)

ival-div: 1.0ms (13.1% of total)

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

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

bsearch47.0ms (0.6%)

Memory

-2.2MiB live, 77.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	0.2397724572641144	162555.63202523545
14.0ms	-4.0308919879396733e-76	-5.048124004732261e-82
16.0ms	-7.0246180535844465e+68	-1.0282198416545827e+52

Samples

28.0ms

432×

valid

Compiler

Compiled 678 to 411 computations (39.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (67.8% of total)

ival-add: 3.0ms (16.9% of total)

ival-div: 2.0ms (11.3% of total)

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

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

bsearch40.0ms (0.5%)

Memory

-37.3MiB live, 7.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.2397724572641144	162555.63202523545
39.0ms	-4.0308919879396733e-76	-5.048124004732261e-82

Samples

37.0ms

48×

valid

Compiler

Compiled 346 to 234 computations (32.4% saved)

Precisions

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

ival-mult: 1.0ms (52.9% 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)

simplify9.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	522
1	84	522

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -150000000000000006282228834631718693848715079996050742471514156771049472 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 -6781338732101207/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 6124895493223875/18014398509481984 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d))))))
(if (<=.f64 d #s(literal -827545865385885/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 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 6124895493223875/18014398509481984 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d)))))
(if (<=.f64 d #s(literal -827545865385885/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 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 6124895493223875/18014398509481984 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 c #s(literal -2484552783462535/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 18999999999999999477826536799253561344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (<=.f64 d #s(literal -200000000000000007004399371886322346092160635596623651209740288 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -5006219615439633/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (.f64 a c)) (.f64 d d)))) (if (<=.f64 d #s(literal 57000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -7175581448796807/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 57000 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 -150000000000000006282228834631718693848715079996050742471514156771049472 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 -6781338732101207/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 6124895493223875/18014398509481984 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d))))))
(if (<=.f64 d #s(literal -150000000000000006282228834631718693848715079996050742471514156771049472 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 -6781338732101207/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 6124895493223875/18014398509481984 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d))))))
(if (<=.f64 d #s(literal -827545865385885/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 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 6124895493223875/18014398509481984 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d)))))
(if (<=.f64 d #s(literal -827545865385885/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 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 6124895493223875/18014398509481984 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 c #s(literal -2484552783462535/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 18999999999999999477826536799253561344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (<=.f64 d #s(literal -200000000000000007004399371886322346092160635596623651209740288 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -5006219615439633/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (.f64 a c)) (.f64 d d)))) (if (<=.f64 d #s(literal 57000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -7175581448796807/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 57000 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))

soundness631.0ms (7.4%)

Memory

9.6MiB live, 301.3MiB allocated

Rules

9 014×	`lower-fma.f32`
9 006×	`lower-fma.f64`
7 676×	`lower-fma.f64`
7 676×	`lower-fma.f32`
7 160×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	184
0	49	182
1	162	182
2	1095	182
0	8663	182
0	186	1428
1	618	1418
2	1892	1394
3	5763	1392
0	8185	1262
0	639	9532
1	2177	9305
0	8075	8616

Stop Event

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

Compiler

Compiled 409 to 176 computations (57% saved)

preprocess103.0ms (1.2%)

Memory: -3.9MiB live, 79.8MiB allocated
Compiler: Compiled 552 to 178 computations (67.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	32	211
0	49	211
1	64	211
2	80	209
3	115	209
4	171	209
5	207	209
6	267	209
7	333	209
8	409	209
9	478	209
10	555	209
11	594	209
12	600	209
13	604	209
14	604	209
0	604	209

Iter	Nodes	Cost
0	36	246
0	51	243
1	70	239
2	83	239
3	125	239
4	183	239
5	241	239
6	284	239
7	371	239
8	400	239
9	449	239
10	497	239
11	545	239
12	597	239
0	597	227

Iter	Nodes	Cost
0	37	271
0	52	267
1	75	263
2	85	263
3	116	263
4	122	263
5	169	263
6	199	263
7	214	263
8	225	263
9	261	263
10	302	263
11	341	263
12	413	263
13	493	263
0	493	245

Iter	Nodes	Cost
0	32	211
0	49	211
1	64	211
2	80	209
3	115	209
4	171	209
5	207	209
6	267	209
7	333	209
8	409	209
9	478	209
10	555	209
11	594	209
12	600	209
13	604	209
14	604	209
0	604	209

Iter	Nodes	Cost
0	36	246
0	51	243
1	70	239
2	83	239
3	125	239
4	183	239
5	241	239
6	284	239
7	371	239
8	400	239
9	449	239
10	497	239
11	545	239
12	597	239
0	597	227

Iter	Nodes	Cost
0	37	271
0	52	267
1	75	263
2	85	263
3	116	263
4	122	263
5	169	263
6	199	263
7	214	263
8	225	263
9	261	263
10	302	263
11	341	263
12	413	263
13	493	263
0	493	245

start0.0ms (0%)

analyze47.0ms (0.6%)

sample1.0s (11.8%)

explain120.0ms (1.4%)

preprocess326.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize39.0ms (0.5%)

series17.0ms (0.2%)

simplify186.0ms (2.2%)

rewrite368.0ms (4.3%)

eval119.0ms (1.4%)

prune172.0ms (2%)

simplify27.0ms (0.3%)

localize107.0ms (1.3%)

series56.0ms (0.7%)

simplify486.0ms (5.7%)

rewrite779.0ms (9.1%)

eval579.0ms (6.8%)

prune722.0ms (8.5%)

simplify30.0ms (0.3%)

localize91.0ms (1.1%)

series68.0ms (0.8%)

simplify296.0ms (3.5%)

rewrite291.0ms (3.4%)

eval194.0ms (2.3%)

prune172.0ms (2%)

simplify21.0ms (0.3%)

localize97.0ms (1.1%)

series33.0ms (0.4%)

simplify337.0ms (4%)

rewrite277.0ms (3.2%)

eval157.0ms (1.8%)

prune188.0ms (2.2%)

regimes76.0ms (0.9%)

regimes21.0ms (0.2%)

regimes9.0ms (0.1%)

regimes22.0ms (0.3%)

regimes35.0ms (0.4%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch56.0ms (0.7%)

bsearch13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch23.0ms (0.3%)

bsearch47.0ms (0.6%)

bsearch40.0ms (0.5%)

simplify9.0ms (0.1%)

soundness631.0ms (7.4%)

preprocess103.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	32	211
0	49	211
1	64	211
2	80	209
3	115	209
4	171	209
5	207	209
6	267	209
7	333	209
8	409	209
9	478	209
10	555	209
11	594	209
12	600	209
13	604	209
14	604	209
0	604	209

Iter	Nodes	Cost
0	36	246
0	51	243
1	70	239
2	83	239
3	125	239
4	183	239
5	241	239
6	284	239
7	371	239
8	400	239
9	449	239
10	497	239
11	545	239
12	597	239
0	597	227

Iter	Nodes	Cost
0	37	271
0	52	267
1	75	263
2	85	263
3	116	263
4	122	263
5	169	263
6	199	263
7	214	263
8	225	263
9	261	263
10	302	263
11	341	263
12	413	263
13	493	263
0	493	245