Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze26.0ms (0.4%)

Memory

-8.6MiB live, 70.5MiB 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)

sample850.0ms (14.6%)

Memory

27.1MiB live, 1 077.0MiB allocated

Samples

557.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-mult: 214.0ms (60.7% of total)

ival-add: 82.0ms (23.3% of total)

ival-div: 48.0ms (13.6% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain114.0ms (2%)

Memory

17.6MiB live, 146.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
99	2	(-3.5685498227237393e-156 2.8402702052519646e-130 1.5486623616518896e-100 1.459846892297361e+193)	1	(-5.544741783325925e-250 9.279501395810726e-281 -4.8370668993029174e-67 3.445955700360843e-283)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
4	0	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	0	-	0	-	`a`
0	0	-	0	-	`d`
0	0	-	0	-	`(*.f64 d d)`
0	0	-	0	-	`(*.f64 c c)`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`c`
0	0	-	0	-	`b`
0	0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	42	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	105
↳	`(*.f64 c c)`	overflow	56
↳	`(*.f64 d d)`	overflow	61
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	37	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	49
↳	`(*.f64 a c)`	overflow	28
↳	`(*.f64 b d)`	overflow	26
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	105
↳	`(*.f64 c c)`	overflow	56
↳	`(*.f64 d d)`	overflow	61
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	12	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	49
↳	`(*.f64 a c)`	overflow	28
↳	`(*.f64 b d)`	overflow	26
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	6	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	16
↳	`(*.f64 c c)`	underflow	65
↳	`(*.f64 d d)`	underflow	51
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	4	0
↳	`(*.f64 a c)`	overflow	28
↳	`(*.f64 b d)`	overflow	26
`/.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	3
↳	`(*.f64 a c)`	underflow	26
↳	`(*.f64 b d)`	underflow	23
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	1	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	3
↳	`(*.f64 a c)`	underflow	26
↳	`(*.f64 b d)`	underflow	23
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	16
↳	`(*.f64 c c)`	underflow	65
↳	`(*.f64 d d)`	underflow	51

Confusion

	Predicted +	Predicted -
+	98	1
-	2	155

Precision

0.98

Recall

0.98989898989899

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	98	0	1
-	2	0	155

Precision?

0.98

Recall?

0.98989898989899

Freqs

test

number	freq
0	156
1	96
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

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

ival-mult: 13.0ms (63.3% of total)

ival-add: 4.0ms (19.5% of total)

ival-div: 3.0ms (14.6% of total)

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

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

preprocess369.0ms (6.3%)

Memory

-27.9MiB live, 48.9MiB 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	10

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.4%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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)) (+.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	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

15.6MiB live, 15.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a c)
accuracy	0.0078125	(+.f64 (.f64 c c) (.f64 d d))
accuracy	0.9492125574906175	(+.f64 (.f64 a c) (.f64 b d))
accuracy	23.269033113536302	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

18.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 6.0ms (60.3% of total)

ival-add: 2.0ms (20.1% of total)

ival-div: 1.0ms (10% of total)

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

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

series33.0ms (0.6%)

Memory

-34.7MiB live, 17.9MiB 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 (.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>) () ())
#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation:binary64>) () ())

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

Calls

12 calls:

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

simplify148.0ms (2.5%)

Memory

16.1MiB live, 90.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1428
1	618	1418
2	1890	1394
3	5752	1392
0	8314	1082

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

rewrite192.0ms (3.3%)

Memory

25.2MiB live, 144.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	18	35
1	58	35
2	435	35
3	5073	35
0	8760	25

Stop Event

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

Counts

5 → 348

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64)))) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 d b) #s(literal 3/2 binary64)) (pow.f64 (.f64 c a) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 d b) (.f64 c a)) (*.f64 d b))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 d b) #s(literal 3/2 binary64)) (pow.f64 (.f64 c a) #s(literal 3/2 binary64))) (hypot.f64 (pow.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) #s(literal 3/2 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) (-.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 (.f64 c a) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (.f64 c a)))
(.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 d b) (*.f64 c a)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))))
(.f64 (pow.f64 (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (.f64 d b) a) c)) #s(literal -1 binary64)) (hypot.f64 (pow.f64 (.f64 d b) #s(literal 3/2 binary64)) (pow.f64 (.f64 c a) #s(literal 3/2 binary64))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal -1 binary64)))
(.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 d b) #s(literal 3/2 binary64)) (pow.f64 (.f64 c a) #s(literal 3/2 binary64)))) (pow.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (.f64 d b) a) c))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (.f64 c a))))
(.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a)))
(.f64 (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (.f64 d b) a) c)) (.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (*.f64 d b) a) c)) #s(literal -1 binary64))))
(.f64 (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (.f64 d b) a) c)) (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (.f64 d b) a) c))))
(.f64 (hypot.f64 (pow.f64 (.f64 d b) #s(literal 3/2 binary64)) (pow.f64 (.f64 c a) #s(literal 3/2 binary64))) (.f64 (pow.f64 (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (*.f64 d b) a) c)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (hypot.f64 (pow.f64 (.f64 d b) #s(literal 3/2 binary64)) (pow.f64 (.f64 c a) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (.f64 d b) a) c)) #s(literal -1 binary64)))
(.f64 (fma.f64 d b (.f64 c a)) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))))
(.f64 (fma.f64 d b (.f64 c a)) (/.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 (neg.f64 d) b (.f64 c a))))
(.f64 (fma.f64 d b (.f64 c a)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 d b) (.f64 c a)) (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 d b) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64))) (hypot.f64 (.f64 d b) (.f64 c a)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (hypot.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (.f64 d b) a) c)) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 9/2 binary64)) (pow.f64 (.f64 d b) #s(literal 9/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (.f64 d b) a) c)) #s(literal -1 binary64))) (-.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (*.f64 d b) a) c) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 d b) (.f64 c a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))))) (fma.f64 (neg.f64 d) b (*.f64 c a)))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 d b) #s(literal 3/2 binary64)) (pow.f64 (.f64 c a) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (*.f64 d b) a) c)))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 d b) #s(literal 3/2 binary64)) (pow.f64 (.f64 c a) #s(literal 3/2 binary64))))) (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (*.f64 d b) a) c)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 d b) (*.f64 c a)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 d) b (.f64 c a))))
(/.f64 (.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 d b) #s(literal 3/2 binary64)) (pow.f64 (.f64 c a) #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (.f64 d b) a) c))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 d b) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (hypot.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 (*.f64 d b) a) c))))
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(/.f64 (.f64 (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 d #s(literal 8 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 (.f64 d d) (.f64 c c)) (*.f64 (-.f64 c d) (+.f64 d c))))
(/.f64 (.f64 (-.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 d #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (hypot.f64 (pow.f64 (.f64 d c) #s(literal 2 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 8 binary64))) (.f64 (-.f64 c d) (+.f64 d c))))
(/.f64 (.f64 (-.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 d #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(/.f64 (.f64 (hypot.f64 (pow.f64 c #s(literal 9 binary64)) (pow.f64 d #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (hypot.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 (.f64 d c) #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(/.f64 (.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c))) (.f64 (.f64 (-.f64 c d) (+.f64 d c)) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 d #s(literal 8 binary64))) (.f64 (.f64 (-.f64 c d) (+.f64 d c)) (hypot.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 d #s(literal 12 binary64))) (.f64 (.f64 (-.f64 c d) (+.f64 d c)) (+.f64 (hypot.f64 (pow.f64 (*.f64 d c) #s(literal 2 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 d #s(literal 12 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (+.f64 d c) (-.f64 d c)))
(/.f64 (hypot.f64 (pow.f64 c #s(literal 9 binary64)) (pow.f64 d #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (-.f64 (hypot.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 (*.f64 d c) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (-.f64 c d) (+.f64 d c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 d c)))
(/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (.f64 (-.f64 c d) (+.f64 d c))))
(/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (neg.f64 (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c)))))
(/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (-.f64 c d) (+.f64 d c)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)))
(/.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))
(/.f64 (neg.f64 (hypot.f64 d c)) #s(literal -1 binary64))
(/.f64 (hypot.f64 d c) #s(literal 1 binary64))
(neg.f64 (neg.f64 (hypot.f64 d c)))
(fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 (.f64 d d) (hypot.f64 d c) (pow.f64 c #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c)))))
(fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (hypot.f64 d c) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))
(fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (+.f64 d c)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))
(fma.f64 (/.f64 (.f64 c c) (+.f64 d c)) (/.f64 (.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))
(fma.f64 (/.f64 c (+.f64 d c)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 c (.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c)))))
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c)))))
(fma.f64 (.f64 c c) (/.f64 (.f64 c c) (.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c)))))
(fma.f64 d d (*.f64 c c))
(fma.f64 c (/.f64 (pow.f64 c #s(literal 3 binary64)) (.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c)))))
(fma.f64 c c (*.f64 d d))
(-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (+.f64 d c) (-.f64 d c))))
(-.f64 (/.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c))))
(-.f64 #s(literal 0 binary64) (neg.f64 (hypot.f64 d c)))
(hypot.f64 d c)
(hypot.f64 c d)
(exp.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 d c)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 d c)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 d c) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (.f64 (neg.f64 c) c)) (neg.f64 (.f64 (neg.f64 d) d)))
(+.f64 (neg.f64 (.f64 (neg.f64 d) d)) (neg.f64 (.f64 (neg.f64 c) c)))
(+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (-.f64 c d) (+.f64 d c)))))
(+.f64 (.f64 d d) (.f64 c c))
(+.f64 (.f64 c c) (.f64 d d))

eval55.0ms (0.9%)

Memory: 8.5MiB live, 81.2MiB allocated
Compiler: Compiled 12 556 to 1 079 computations (91.4% saved)

prune29.0ms (0.5%)

Memory

-36.7MiB live, 45.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	506	10	516
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	507	10	517

Accuracy

99.8%

Counts

517 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
▶	39.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
	41.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
	47.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
▶	49.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
▶	56.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
▶	53.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	48.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c))
	44.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Compiler

Compiled 204 to 178 computations (12.7% saved)

simplify6.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

40×	`lower-fma.f32`
40×	`lower-*.f32`
36×	`lower-/.f32`
34×	`lower-*.f64`
34×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	214
0	48	214
1	64	214
2	75	214
3	78	214
0	78	184

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

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

localize68.0ms (1.2%)

Memory

15.9MiB live, 90.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 d d)
accuracy	5.0410719809046105	(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
accuracy	6.362190520722178	(/.f64 c (*.f64 d d))
accuracy	29.366092385148526	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
accuracy	0	(*.f64 c c)
accuracy	0.0078125	(+.f64 (.f64 c c) (.f64 d d))
accuracy	23.269033113536302	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
accuracy	28.588594415832347	#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy	0	(/.f64 a d)
accuracy	0.7414735011189724	(/.f64 (fma.f64 (/.f64 a d) c b) d)
accuracy	3.5748153464917536	(fma.f64 (/.f64 a d) c b)
accuracy	29.366092385148526	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
accuracy	0	(/.f64 a c)
accuracy	36.703083880460476	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0	(/.f64 b c)
accuracy	0.2932635164582166	(/.f64 (fma.f64 (/.f64 b c) d a) c)
accuracy	2.969903632828869	(fma.f64 (/.f64 b c) d a)
accuracy	27.920568500563572	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))

Samples

47.0ms

256×

valid

Compiler

Compiled 180 to 27 computations (85% saved)

Precisions

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

ival-div: 13.0ms (41.4% of total)

ival-mult: 13.0ms (41.4% of total)

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

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

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

series58.0ms (1%)

Memory

11.8MiB live, 94.5MiB allocated

Counts

19 → 696

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ c (* d d)) a) (/ b d)) (/ c (* d d)) (* d d) (+ (* c c) (* d d)))
5.0ms	b	@	0	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ c (* d d)) a) (/ b d)) (/ c (* d d)) (* d d) (+ (* c c) (* d d)))
4.0ms	a	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ c (* d d)) a) (/ b d)) (/ c (* d d)) (* d d) (+ (* c c) (* d d)))
3.0ms	c	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ c (* d d)) a) (/ b d)) (/ c (* d d)) (* d d) (+ (* c c) (* d d)))
3.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ c (* d d)) a) (/ b d)) (/ c (* d d)) (* d d) (+ (* c c) (* d d)))

simplify234.0ms (4%)

Memory

-17.4MiB live, 141.0MiB 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	7572
1	992	7522
2	3191	7402
3	7280	7402
0	8290	6130

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 684

Calls

Call 1

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

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

rewrite183.0ms (3.1%)

Memory

19.8MiB live, 139.9MiB allocated

Rules

5 354×	`lower-/.f32`
5 338×	`lower-/.f64`
4 626×	`lower-fma.f32`
4 620×	`lower-fma.f64`
4 480×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	191
0	48	191
1	179	191
2	1350	191
0	8440	161

Stop Event

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

Counts

19 → 587

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(.f64 (/.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (.f64 (/.f64 b c) d) a)) c) (/.f64 (fma.f64 (/.f64 b c) d a) (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (*.f64 (/.f64 b c) d) a))))
(.f64 (pow.f64 (/.f64 c (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 c (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (*.f64 (/.f64 b c) d) a)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) (pow.f64 c #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) #s(literal -1 binary64)))
(.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 c #s(literal -1 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (.f64 (/.f64 b c) d) a)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 b c) d a) #s(literal 1 binary64)) (pow.f64 c #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a))) (pow.f64 c #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) c)))
(.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (*.f64 (/.f64 b c) d) a)) c)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)))))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a)))))
(*.f64 (pow.f64 c #s(literal -1 binary64)) (fma.f64 (/.f64 b c) d a))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 c (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (.f64 (/.f64 b c) d) a)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (pow.f64 (neg.f64 c) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 b c) d a) c) (/.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) (fma.f64 (/.f64 b c) d (neg.f64 a))))
(*.f64 (fma.f64 (/.f64 b c) d a) (pow.f64 c #s(literal -1 binary64)))
(pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a)) (pow.f64 c #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 b c) d (neg.f64 a))))
(/.f64 (neg.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 c #s(literal -1 binary64)))) (neg.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (*.f64 (/.f64 b c) d) a))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal 1 binary64))) (neg.f64 c))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)))) (neg.f64 (neg.f64 (neg.f64 c))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) c)))
(/.f64 (neg.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (.f64 (/.f64 b c) d) a)) c)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a)) (pow.f64 c #s(literal -1 binary64))) (fma.f64 (/.f64 b c) d (neg.f64 a)))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 c #s(literal -1 binary64))) (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (*.f64 (/.f64 b c) d) a)))
(/.f64 (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal 1 binary64)) c)
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a))) (neg.f64 (*.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (neg.f64 (.f64 c (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (*.f64 (/.f64 b c) d) a)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) c))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (.f64 (/.f64 b c) d) a)) c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) (*.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a)) (pow.f64 c #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (.f64 (/.f64 b c) d) a)) (.f64 (hypot.f64 (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 c #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) c) (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (.f64 (/.f64 b c) d) a)) c) (.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a))) (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 c (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (.f64 (/.f64 b c) d) a))) (hypot.f64 (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)))))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 b c) d a)))
(/.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (.f64 c (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (*.f64 (/.f64 b c) d) a))))
(/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (neg.f64 c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c))
(neg.f64 (/.f64 (fma.f64 (/.f64 b c) d a) (neg.f64 c)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a)))) (/.f64 (.f64 a a) (.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) c) (/.f64 (/.f64 (.f64 a a) (fma.f64 (/.f64 b c) d (neg.f64 a))) c))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (fma.f64 (/.f64 b c) d a) (neg.f64 c)))
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 (/.f64 b c) d a))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a (.f64 (/.f64 b c) d))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)))))
(.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (*.f64 (/.f64 b c) d) a)))))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a)) (pow.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b c) d a))
(.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 b c) d) a)))))
(.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (*.f64 (/.f64 b c) d) a)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a a) (fma.f64 (/.f64 b c) d (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) (fma.f64 (/.f64 (.f64 a a) (fma.f64 (/.f64 b c) d (neg.f64 a))) (/.f64 (.f64 a a) (fma.f64 (/.f64 b c) d (neg.f64 a))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (/.f64 b c) d (neg.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (*.f64 (/.f64 b c) d))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (.f64 (/.f64 b c) d) a)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) (.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) (.f64 a a))) (*.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) (fma.f64 (/.f64 b c) d (neg.f64 a))))
(/.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) (-.f64 a (*.f64 (/.f64 b c) d)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a))) (neg.f64 (fma.f64 (/.f64 b c) d (neg.f64 a))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 b c) d) a)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (.f64 (/.f64 b c) d) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) (fma.f64 (/.f64 b c) d (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) (-.f64 (.f64 a a) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 b c) d) a))) (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)))
(/.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 b c) d) a))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (-.f64 (hypot.f64 (.f64 (/.f64 b c) d) a) (.f64 (.f64 (/.f64 b c) d) a)))
(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 b) c) a)
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 d c) a)
(fma.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 b c) a)
(fma.f64 (*.f64 d #s(literal 1 binary64)) (/.f64 b c) a)
(fma.f64 (*.f64 d (neg.f64 b)) (pow.f64 (neg.f64 c) #s(literal -1 binary64)) a)
(fma.f64 (*.f64 (neg.f64 b) d) (pow.f64 (neg.f64 c) #s(literal -1 binary64)) a)
(fma.f64 (/.f64 d c) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))) a)
(fma.f64 (neg.f64 (*.f64 d b)) (pow.f64 (neg.f64 c) #s(literal -1 binary64)) a)
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 d (pow.f64 b #s(literal -1 binary64))) a)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 b c) d) a)
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(fma.f64 (.f64 a (pow.f64 d #s(literal -2 binary64))) (.f64 c #s(literal 1 binary64)) (/.f64 b d))
(fma.f64 (*.f64 (/.f64 c d) a) (pow.f64 d #s(literal -1 binary64)) (/.f64 b d))
(fma.f64 (.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 d d)) (/.f64 b d))
(fma.f64 (.f64 (neg.f64 c) a) (pow.f64 (.f64 (neg.f64 d) d) #s(literal -1 binary64)) (/.f64 b d))
(fma.f64 (.f64 a #s(literal 1 binary64)) (/.f64 c (.f64 d d)) (/.f64 b d))
(fma.f64 (.f64 a (neg.f64 c)) (pow.f64 (.f64 (neg.f64 d) d) #s(literal -1 binary64)) (/.f64 b d))
(fma.f64 (.f64 c #s(literal 1 binary64)) (.f64 a (pow.f64 d #s(literal -2 binary64))) (/.f64 b d))
(fma.f64 (/.f64 a (neg.f64 d)) (/.f64 (neg.f64 c) d) (/.f64 b d))
(fma.f64 (neg.f64 (neg.f64 b)) (pow.f64 d #s(literal -1 binary64)) (.f64 (/.f64 c (.f64 d d)) a))
(fma.f64 (neg.f64 (.f64 c a)) (pow.f64 (.f64 (neg.f64 d) d) #s(literal -1 binary64)) (/.f64 b d))
(fma.f64 (.f64 b #s(literal 1 binary64)) (pow.f64 d #s(literal -1 binary64)) (.f64 (/.f64 c (*.f64 d d)) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d b))) (.f64 (/.f64 c (.f64 d d)) a))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 (pow.f64 d #s(literal -2 binary64)) (/.f64 a (pow.f64 c #s(literal -1 binary64))) (/.f64 b d))
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 a (/.f64 d c)) (/.f64 b d))
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 c (.f64 d d)) a))
(fma.f64 (pow.f64 d #s(literal -1 binary64)) b (.f64 (/.f64 c (.f64 d d)) a))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 c (.f64 d d)) a) (/.f64 b d))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
(fma.f64 (neg.f64 b) (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (.f64 (/.f64 c (.f64 d d)) a))
(fma.f64 (*.f64 (/.f64 a d) c) (pow.f64 d #s(literal -1 binary64)) (/.f64 b d))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(fma.f64 b (pow.f64 d #s(literal -1 binary64)) (.f64 (/.f64 c (.f64 d d)) a))
(fma.f64 (*.f64 c a) (pow.f64 d #s(literal -2 binary64)) (/.f64 b d))
(fma.f64 c (*.f64 a (pow.f64 d #s(literal -2 binary64))) (/.f64 b d))
(fma.f64 c (*.f64 (pow.f64 d #s(literal -2 binary64)) a) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(-.f64 (/.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (/.f64 (-.f64 b (.f64 (/.f64 c d) a)) d)) (/.f64 (pow.f64 (.f64 (/.f64 c (.f64 d d)) a) #s(literal 2 binary64)) (/.f64 (-.f64 b (.f64 (/.f64 c d) a)) d)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 c (.f64 d d)) a) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (/.f64 c d) a) b) d)) (/.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (/.f64 c d) a) b) d)))
(+.f64 (.f64 (/.f64 c (.f64 d d)) a) (/.f64 b d))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 c (neg.f64 d)))
(.f64 (.f64 c #s(literal 1 binary64)) (pow.f64 d #s(literal -2 binary64)))
(*.f64 (neg.f64 (/.f64 c d)) (pow.f64 (neg.f64 d) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 c)) (pow.f64 d #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 d d) c))))
(*.f64 (/.f64 c d) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal -2 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal -2 binary64)) c)
(*.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 c d))
(.f64 #s(literal 1 binary64) (/.f64 c (.f64 d d)))
(.f64 (neg.f64 c) (pow.f64 (.f64 (neg.f64 d) d) #s(literal -1 binary64)))
(*.f64 c (pow.f64 d #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 d d) c) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 c d))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (*.f64 (neg.f64 d) d))))
(/.f64 (neg.f64 (.f64 c #s(literal 1 binary64))) (.f64 (neg.f64 d) d))
(/.f64 (.f64 c #s(literal 1 binary64)) (.f64 d d))
(/.f64 (neg.f64 (/.f64 c d)) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (*.f64 (neg.f64 d) d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d d) c)))
(/.f64 (/.f64 c d) d)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 c #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 d d) c))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) c))
(/.f64 (neg.f64 c) (*.f64 (neg.f64 d) d))
(/.f64 c (*.f64 d d))
(neg.f64 (*.f64 (neg.f64 c) (pow.f64 d #s(literal -2 binary64))))
(neg.f64 (/.f64 c (*.f64 (neg.f64 d) d)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 d) d)) (/.f64 c (.f64 (neg.f64 d) d)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d d) c)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)))
(*.f64 (neg.f64 d) (neg.f64 d))
(*.f64 d d)
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64))
(pow.f64 (neg.f64 d) #s(literal 2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1 binary64))
(pow.f64 d #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)))
(.f64 (/.f64 (hypot.f64 d c) (+.f64 c d)) (/.f64 (fma.f64 c c (.f64 (neg.f64 d) d)) (-.f64 c d)))
(.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 d d) (*.f64 c c))))
(.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c c (.f64 (neg.f64 d) d)))))
(.f64 (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (fma.f64 c c (.f64 (neg.f64 d) d)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 d c))
(.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))))))
(.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (hypot.f64 d c) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))) (fma.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))) (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (fma.f64 c c (*.f64 (neg.f64 d) d)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 c c (*.f64 (neg.f64 d) d)))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))) (.f64 (fma.f64 c c (.f64 (neg.f64 d) d)) (pow.f64 d #s(literal 4 binary64)))) (.f64 (fma.f64 c c (.f64 (neg.f64 d) d)) (fma.f64 c c (*.f64 (neg.f64 d) d))))
(/.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 (fma.f64 c c (*.f64 (neg.f64 d) d))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (hypot.f64 d c) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 c c (*.f64 (neg.f64 d) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 d d) (.f64 c c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)))
(/.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (+.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))
(/.f64 (neg.f64 (hypot.f64 d c)) #s(literal -1 binary64))
(/.f64 (hypot.f64 d c) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c))
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d))
(fma.f64 (neg.f64 d) (neg.f64 d) (*.f64 c c))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (.f64 d d) (.f64 c c))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (.f64 d d) (.f64 c c))))
(-.f64 (/.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (fma.f64 c c (.f64 (neg.f64 d) d))))
(hypot.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 c)))
(hypot.f64 (exp.f64 (log.f64 d)) c)
(hypot.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 d)))
(hypot.f64 (exp.f64 (log.f64 c)) (neg.f64 d))
(hypot.f64 (exp.f64 (log.f64 c)) d)
(hypot.f64 (neg.f64 d) (exp.f64 (log.f64 c)))
(hypot.f64 (neg.f64 d) c)
(hypot.f64 d (exp.f64 (log.f64 c)))
(hypot.f64 d c)
(hypot.f64 c (exp.f64 (log.f64 d)))
(hypot.f64 c (neg.f64 d))
(hypot.f64 c d)
(+.f64 (.f64 d d) (.f64 c c))
(+.f64 (.f64 c c) (.f64 d d))

eval192.0ms (3.3%)

Memory: -9.9MiB live, 247.5MiB allocated
Compiler: Compiled 20 343 to 2 355 computations (88.4% saved)

prune48.0ms (0.8%)

Memory

16.6MiB live, 105.9MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 279	12	1 291
Fresh	2	3	5
Picked	3	2	5
Done	0	0	0
Total	1 284	17	1 301

Accuracy

99.8%

Counts

1 301 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	39.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 d d (.f64 c c)))
▶	31.0%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	18.0%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	41.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
▶	53.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
✓	53.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	53.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 d a)) c b) d))
▶	56.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	22.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
▶	21.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
▶	44.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	42.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	19.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (exp.f64 (*.f64 (log.f64 (/.f64 c a)) #s(literal -1 binary64))))
	23.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
	20.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a)))

Compiler

Compiled 285 to 280 computations (1.8% saved)

simplify6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

28×	`lower-fma.f32`
28×	`lower-*.f32`
24×	`lower-fma.f64`
24×	`lower-/.f32`
22×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	237
0	49	234
1	62	234
2	64	234
3	65	234
0	65	204

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize100.0ms (1.7%)

Memory

-39.3MiB live, 117.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 c d)
accuracy	0.7414735011189724	(/.f64 (fma.f64 (/.f64 c d) a b) d)
accuracy	2.3449275295442384	(fma.f64 (/.f64 c d) a b)
accuracy	29.366092385148526	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
accuracy	0.7414735011189724	(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)
accuracy	4.415172987002182	(/.f64 (*.f64 c a) d)
accuracy	29.366092385148526	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
accuracy	33.293936807427976	#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d))
accuracy	0	(*.f64 d b)
accuracy	23.269033113536302	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
accuracy	27.12834695556548	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	28.588594415832347	#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy	0	(/.f64 b d)
accuracy	35.52786003226189	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy	0	(/.f64 d c)
accuracy	0.2932635164582166	(/.f64 (fma.f64 b (/.f64 d c) a) c)
accuracy	2.9833285944904846	(fma.f64 b (/.f64 d c) a)
accuracy	27.920568500563572	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))

Samples

65.0ms

256×

valid

Compiler

Compiled 177 to 29 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 17.0ms (46.1% of total)

ival-mult: 14.0ms (38% of total)

ival-add: 5.0ms (13.6% of total)

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

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

series42.0ms (0.7%)

Memory

-13.5MiB live, 62.7MiB allocated

Counts

18 → 732

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d))
2.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d))
2.0ms	b	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d))
1.0ms	d	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d))
1.0ms	d	@	0	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d))

simplify183.0ms (3.1%)

Memory

26.0MiB live, 210.1MiB 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	7902
1	992	7852
2	3192	7732
3	7271	7732
0	8281	6436

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 714

Calls

Call 1

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

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

rewrite373.0ms (6.4%)

Memory

-2.1MiB live, 260.8MiB allocated

Rules

9 648×	`lower-fma.f32`
9 644×	`lower-fma.f64`
5 780×	`lower-*.f32`
5 774×	`lower-*.f64`
3 662×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	216
0	49	213
1	185	213
2	1176	213
0	8993	183

Stop Event

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

Counts

18 → 438

Calls

Call 1

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

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

eval188.0ms (3.2%)

Memory: 4.2MiB live, 253.8MiB allocated
Compiler: Compiled 16 142 to 1 759 computations (89.1% saved)

prune69.0ms (1.2%)

Memory

18.9MiB live, 93.3MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1 146	6	1 152
Fresh	1	9	10
Picked	3	2	5
Done	1	1	2
Total	1 151	18	1 169

Accuracy

99.8%

Counts

1 169 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
▶	37.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (.f64 d b))) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	39.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 d d (.f64 c c)))
	18.0%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	41.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
	19.9%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	56.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	22.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
	22.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 c (/.f64 d a))) d))
▶	22.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d))
	22.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d))
✓	44.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	42.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
▶	44.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
	19.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (exp.f64 (*.f64 (log.f64 (/.f64 c a)) #s(literal -1 binary64))))
	23.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
▶	20.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a)))

Compiler

Compiled 297 to 296 computations (0.3% saved)

simplify225.0ms (3.9%)

Memory

4.6MiB live, 42.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 d b)
cost-diff	0	(fma.f64 c a (*.f64 d b))
cost-diff	0	#s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b)))
cost-diff	0	(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (.f64 d b))) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
cost-diff	0	(*.f64 (/.f64 c d) a)
cost-diff	0	#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a))
cost-diff	0	(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d))
cost-diff	0	(/.f64 c a)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 c a))
cost-diff	0	(/.f64 c (*.f64 d d))
cost-diff	0	(.f64 (/.f64 c (.f64 d d)) a)
cost-diff	0	#s(approx (/ (+ (* (/ a d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a))
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a)))
cost-diff	0	(/.f64 #s(literal -1 binary64) d)
cost-diff	0	(neg.f64 b)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
cost-diff	448	(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))

Rules

1 800×	`lower-fma.f32`
1 798×	`lower-fma.f64`
1 256×	`lower-*.f32`
1 246×	`lower-*.f64`
1 044×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	273
0	54	267
1	78	265
2	103	257
3	141	257
4	265	257
5	471	257
6	1088	257
7	1998	257
8	2404	257
9	2957	257
10	3571	257
11	3902	257
12	4178	257
13	4260	257
14	4298	257
15	4300	257
16	4300	257
17	4340	257
18	4356	257
19	4356	257
20	4364	257
21	4388	257
22	4428	257
23	4436	257
24	4436	257
0	4436	228

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

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

localize96.0ms (1.6%)

Memory

-29.4MiB live, 96.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b)))
accuracy	0.49999449521112044	(fma.f64 c a (*.f64 d b))
accuracy	23.269033113536302	(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (.f64 d b))) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
accuracy	27.12834695556548	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	0.7414735011189724	(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)
accuracy	4.854398722586355	(*.f64 (/.f64 c d) a)
accuracy	29.366092385148526	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d))
accuracy	33.293936807427976	#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a))
accuracy	0	(/.f64 c a)
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (/.f64 c a))
accuracy	36.703083880460476	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
accuracy	6.362190520722178	(/.f64 c (*.f64 d d))
accuracy	7.522386635464179	(.f64 (/.f64 c (.f64 d d)) a)
accuracy	27.767259236575665	#s(approx (/ (+ (* (/ a d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a))
accuracy	29.366092385148526	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a)))
accuracy	0	(/.f64 #s(literal -1 binary64) d)
accuracy	0	(neg.f64 b)
accuracy	0.22265625	(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))
accuracy	35.52786003226189	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))

Samples

77.0ms

256×

valid

Compiler

Compiled 187 to 31 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 31.0ms (51.4% of total)

ival-div: 23.0ms (38.2% of total)

ival-add: 4.0ms (6.6% of total)

ival-neg: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.8%)

Memory

23.1MiB live, 60.8MiB allocated

Counts

20 → 720

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	c	@	-inf	((* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (* (/ c (* d d)) a) (/ c (* d d)) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (+ (* c a) (* d b)) (* d b) (+ (* c c) (* d d)))
2.0ms	a	@	-inf	((* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (* (/ c (* d d)) a) (/ c (* d d)) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (+ (* c a) (* d b)) (* d b) (+ (* c c) (* d d)))
2.0ms	c	@	inf	((* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (* (/ c (* d d)) a) (/ c (* d d)) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (+ (* c a) (* d b)) (* d b) (+ (* c c) (* d d)))
2.0ms	d	@	-inf	((* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (* (/ c (* d d)) a) (/ c (* d d)) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (+ (* c a) (* d b)) (* d b) (+ (* c c) (* d d)))
2.0ms	c	@	0	((* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (* (/ c (* d d)) a) (/ c (* d d)) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (+ (* c a) (* d b)) (* d b) (+ (* c c) (* d d)))

simplify213.0ms (3.6%)

Memory

-19.5MiB live, 225.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 494×	`lower-fma.f64`
7 494×	`lower-fma.f32`
4 390×	`lower-*.f64`
4 390×	`lower-*.f32`
3 310×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	7538
1	816	7488
2	2558	7388
3	6287	7258
0	8077	6013

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 714

Calls

Call 1

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

rewrite193.0ms (3.3%)

Memory

11.1MiB live, 202.8MiB allocated

Rules

8 010×	`lower-fma.f32`
8 008×	`lower-fma.f64`
5 744×	`lower-*.f32`
5 734×	`lower-*.f64`
3 600×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	248
0	54	242
1	195	236
2	1071	232
0	8239	203

Stop Event

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

Counts

20 → 393

Calls

Call 1

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

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

eval129.0ms (2.2%)

Memory: -5.0MiB live, 229.4MiB allocated
Compiler: Compiled 13 869 to 1 561 computations (88.7% saved)

prune43.0ms (0.7%)

Memory

32.2MiB live, 108.0MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	1 103	4	1 107
Fresh	1	9	10
Picked	0	5	5
Done	0	3	3
Total	1 104	21	1 125

Accuracy

99.8%

Counts

1 125 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (.f64 d b))) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	36.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (.f64 d b))) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	39.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 d d (.f64 c c)))
	18.0%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	41.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
	19.9%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	24.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (pow.f64 (pow.f64 (/.f64 a c) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	56.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	22.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
	22.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 c (/.f64 d a))) d))
✓	22.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d))
	22.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d))
✓	44.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	42.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	23.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a c)) #s(literal -1 binary64)))))
	42.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
✓	44.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
	19.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (exp.f64 (*.f64 (log.f64 (/.f64 c a)) #s(literal -1 binary64))))
	23.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
✓	20.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a)))

Compiler

Compiled 499 to 310 computations (37.9% saved)

regimes81.0ms (1.4%)

Memory

-43.0MiB live, 92.0MiB allocated

Counts

33 → 5

Calls

Call 1

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

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

Calls

5 calls:

37.0ms	d
10.0ms	a
9.0ms	b
9.0ms	c
9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
69.8%	3	`a`
71.5%	4	`b`
85.3%	5	`c`
85.5%	5	`d`
74.2%	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes18.0ms (0.3%)

Memory

-10.4MiB live, 29.1MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

8.0ms	c
8.0ms	d

Results

Accuracy	Segments	Branch
80.2%	3	`c`
79.2%	3	`d`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes7.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
79.6%	3	`c`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
79.3%	3	`c`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes17.0ms (0.3%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

6.0ms	c
5.0ms	d
5.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
59.8%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
74.9%	3	`d`
73.8%	3	`c`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes28.0ms (0.5%)

Memory

-17.4MiB live, 21.8MiB allocated

Counts

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

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

11.0ms	a
5.0ms	b
5.0ms	d
5.0ms	c

Results

Accuracy	Segments	Branch
60.6%	6	`a`
55.2%	3	`b`
66.7%	4	`c`
66.9%	4	`d`

Compiler

Compiled 4 to 16 computations (-300% saved)

regimes6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

16 → 4

Calls

Call 1

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

5.0ms

Results

Accuracy	Segments	Branch
66.8%	4	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes10.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

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

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

Calls

2 calls:

4.0ms	d
4.0ms	c

Results

Accuracy	Segments	Branch
65.1%	3	`c`
65.0%	3	`d`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes10.0ms (0.2%)

Memory

-27.2MiB live, 11.7MiB 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:

5.0ms	a
1.0ms	d
1.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b
1.0ms	c

Results

Accuracy	Segments	Branch
42.7%	1	`b`
42.7%	1	`a`
42.7%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
42.7%	1	`d`
42.7%	1	`c`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch50.0ms (0.9%)

Memory

28.2MiB live, 66.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	1.766557968855356e+88	1.470737724619442e+89
13.0ms	2.2615700781044315e-131	5.373650329270165e-128
8.0ms	-4.8623872710814225e-101	-1.4411071599297295e-101
14.0ms	-5.5838517984948746e+132	-5.26732468882662e+127

Samples

28.0ms

448×

valid

Compiler

Compiled 690 to 606 computations (12.2% saved)

Precisions

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

ival-mult: 11.0ms (63.3% of total)

ival-add: 4.0ms (23% of total)

ival-div: 2.0ms (11.5% of total)

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

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

bsearch31.0ms (0.5%)

Memory

-6.5MiB live, 30.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.9450343064895406e-55	1.2650687922934495e-51
16.0ms	-3.1678221531890014e-34	-4.1158790240605744e-36

Samples

20.0ms

240×

valid

Compiler

Compiled 288 to 288 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 7.0ms (49.9% of total)

ival-mult: 6.0ms (42.8% of total)

ival-div: 1.0ms (7.1% of total)

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

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

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.9450343064895406e-55	1.2650687922934495e-51
1.0ms	-3.1678221531890014e-34	-4.1158790240605744e-36

Compiler

Compiled 288 to 288 computations (0% saved)

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.9450343064895406e-55	1.2650687922934495e-51
1.0ms	-3.1678221531890014e-34	-4.1158790240605744e-36

Compiler

Compiled 288 to 288 computations (0% saved)

bsearch25.0ms (0.4%)

Memory

-4.4MiB live, 33.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.0424378287952295e+124	3.2956991684136395e+124
16.0ms	-8.695661260954677e+43	-5.265519997722906e+38

Samples

15.0ms

208×

valid

Compiler

Compiled 187 to 226 computations (-20.9% saved)

Precisions

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

ival-mult: 6.0ms (61.9% of total)

ival-add: 2.0ms (20.6% of total)

ival-div: 1.0ms (10.3% of total)

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

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

bsearch44.0ms (0.8%)

Memory

-6.6MiB live, 38.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.7023551122916846e+91	4.7156244600519535e+98
15.0ms	-1.0277165122232405e-59	-7.617394089310786e-62
11.0ms	-8.695661260954677e+43	-5.265519997722906e+38

Samples

27.0ms

368×

valid

Compiler

Compiled 346 to 432 computations (-24.9% saved)

Precisions

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

ival-mult: 13.0ms (72.4% of total)

ival-add: 3.0ms (16.7% of total)

ival-div: 2.0ms (11.1% of total)

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

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

bsearch44.0ms (0.7%)

Memory

-3.7MiB live, 34.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.7023551122916846e+91	4.7156244600519535e+98
27.0ms	-2.4793111758273173e-54	-1.0277165122232405e-59
13.0ms	-1.7078488373396738e+166	-2.8358953740060218e+163

Samples

30.0ms

272×

valid

Compiler

Compiled 345 to 433 computations (-25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 15.0ms (64.8% of total)

ival-mult: 7.0ms (30.2% of total)

ival-div: 2.0ms (8.6% of total)

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

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

bsearch15.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.9450343064895406e-55	1.2650687922934495e-51
13.0ms	-4.1158790240605744e-36	-8.723370623654126e-39

Samples

8.0ms

128×

valid

Compiler

Compiled 146 to 242 computations (-65.8% saved)

Precisions

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

ival-mult: 3.0ms (60.8% of total)

ival-div: 1.0ms (20.3% of total)

ival-add: 1.0ms (20.3% of total)

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

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

simplify34.0ms (0.6%)

Memory

0.6MiB live, 37.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	694
1	100	694

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -980000000000000035192475502021360849180750385268862192690068038996697845069311622987537611598058137010456246402025045324921307136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2364120371783669/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 114999999999999994449499780091099549329930799938112657648278037689961472078556658288033792 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 c #s(literal -3507603929594167/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 8424983333484575/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -3507603929594167/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 8424983333484575/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -3507603929594167/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 8424983333484575/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 d #s(literal -5250000000000000250157101395274113220608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 20500000000000000056798069475560676837012558648363367074968265688276043180461617687266988700071503457221685099122656473513984 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 b d))))
(if (<=.f64 d #s(literal -200000000000000001240017290081556638990336 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -4052723123306067/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (.f64 d b))) #s(approx (+ ( c c) (* d d)) (.f64 d d))) (if (<=.f64 d #s(literal 17500000000000000035402139322609534885261476882359513873418637153128518978959519392016105472 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 -28499999999999999027890908567211339027528857871061161854849296026029161598091584235141546801335225987443011803477929687506396389256491967303926986637795253345583104 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -2826955303645415/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 d d (.f64 c c))) (if (<=.f64 d #s(literal 17500000000000000035402139322609534885261476882359513873418637153128518978959519392016105472 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 c #s(literal -3496005452600309/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 8222783733480945/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #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 a c))

Outputs
(if (<=.f64 d #s(literal -980000000000000035192475502021360849180750385268862192690068038996697845069311622987537611598058137010456246402025045324921307136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2364120371783669/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 114999999999999994449499780091099549329930799938112657648278037689961472078556658288033792 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -980000000000000035192475502021360849180750385268862192690068038996697845069311622987537611598058137010456246402025045324921307136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2364120371783669/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (if (<=.f64 d #s(literal 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 114999999999999994449499780091099549329930799938112657648278037689961472078556658288033792 binary64)) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 c #s(literal -3507603929594167/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 8424983333484575/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -3507603929594167/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 8424983333484575/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -3507603929594167/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 8424983333484575/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 d #s(literal -5250000000000000250157101395274113220608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 20500000000000000056798069475560676837012558648363367074968265688276043180461617687266988700071503457221685099122656473513984 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 b d))))
(if (<=.f64 d #s(literal -200000000000000001240017290081556638990336 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -4052723123306067/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (.f64 d b))) #s(approx (+ ( c c) (* d d)) (.f64 d d))) (if (<=.f64 d #s(literal 17500000000000000035402139322609534885261476882359513873418637153128518978959519392016105472 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 -200000000000000001240017290081556638990336 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -4052723123306067/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (.f64 b d))) #s(approx (+ ( c c) (* d d)) (.f64 d d))) (if (<=.f64 d #s(literal 17500000000000000035402139322609534885261476882359513873418637153128518978959519392016105472 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 -28499999999999999027890908567211339027528857871061161854849296026029161598091584235141546801335225987443011803477929687506396389256491967303926986637795253345583104 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -2826955303645415/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 d d (.f64 c c))) (if (<=.f64 d #s(literal 17500000000000000035402139322609534885261476882359513873418637153128518978959519392016105472 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 -28499999999999999027890908567211339027528857871061161854849296026029161598091584235141546801335225987443011803477929687506396389256491967303926986637795253345583104 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -2826955303645415/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) (fma.f64 d d (.f64 c c))) (if (<=.f64 d #s(literal 17500000000000000035402139322609534885261476882359513873418637153128518978959519392016105472 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 c #s(literal -3496005452600309/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 8222783733480945/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #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 a c))

soundness792.0ms (13.6%)

Memory

-14.9MiB live, 615.9MiB allocated

Rules

7 644×	`lower-fma.f64`
7 644×	`lower-fma.f32`
6 712×	`lower-fma.f64`
6 712×	`lower-fma.f32`
6 712×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	191
0	48	191
1	179	191
2	1350	191
0	8440	161
0	287	7902
1	992	7852
2	3192	7732
3	7271	7732
0	8281	6436
0	186	1428
1	618	1418
2	1890	1394
3	5752	1392
0	8314	1082
0	287	7572
1	992	7522
2	3191	7402
3	7280	7402
0	8290	6130

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
1×	node limit
1×	iter limit

Compiler

Compiled 527 to 298 computations (43.5% saved)

preprocess76.0ms (1.3%)

Memory: 5.6MiB live, 200.3MiB allocated
Compiler: Compiled 698 to 236 computations (66.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze26.0ms (0.4%)

sample850.0ms (14.6%)

explain114.0ms (2%)

preprocess369.0ms (6.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize25.0ms (0.4%)

series33.0ms (0.6%)

simplify148.0ms (2.5%)

rewrite192.0ms (3.3%)

eval55.0ms (0.9%)

prune29.0ms (0.5%)

simplify6.0ms (0.1%)

localize68.0ms (1.2%)

series58.0ms (1%)

simplify234.0ms (4%)

rewrite183.0ms (3.1%)

eval192.0ms (3.3%)

prune48.0ms (0.8%)

simplify6.0ms (0.1%)

localize100.0ms (1.7%)

series42.0ms (0.7%)

simplify183.0ms (3.1%)

rewrite373.0ms (6.4%)

eval188.0ms (3.2%)

prune69.0ms (1.2%)

simplify225.0ms (3.9%)

localize96.0ms (1.6%)

series46.0ms (0.8%)

simplify213.0ms (3.6%)

rewrite193.0ms (3.3%)

eval129.0ms (2.2%)

prune43.0ms (0.7%)

regimes81.0ms (1.4%)

regimes18.0ms (0.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes17.0ms (0.3%)

regimes28.0ms (0.5%)

regimes6.0ms (0.1%)

regimes10.0ms (0.2%)

regimes10.0ms (0.2%)

bsearch50.0ms (0.9%)

bsearch31.0ms (0.5%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch25.0ms (0.4%)

bsearch44.0ms (0.8%)

bsearch44.0ms (0.7%)

bsearch15.0ms (0.3%)

simplify34.0ms (0.6%)

soundness792.0ms (13.6%)

preprocess76.0ms (1.3%)

end0.0ms (0%)

Profiling