Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze28.0ms (0.3%)

Memory

18.1MiB live, 55.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample998.0ms (10.4%)

Memory

23.1MiB live, 1 438.3MiB allocated

Samples

576.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 361.0ms

ival-mult: 232.0ms (64.3% of total)

ival-add: 70.0ms (19.4% of total)

ival-div: 50.0ms (13.8% of total)

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

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain127.0ms (1.3%)

Memory

-36.8MiB live, 248.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
100	1	(3.286615837165244e-72 -9.921228252840642e-63 8.647543048451167e+250 4.231139499964537e-285)	1	(-1.9061617594894614e-160 -1.623603966772506e-67 1.6617541115813997e-194 -3.6623104285390657e-159)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d 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)`
0	0	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	48	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	57
↳	`(*.f64 a c)`	overflow	31
↳	`(*.f64 b d)`	overflow	26
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	111
↳	`(*.f64 c c)`	overflow	65
↳	`(*.f64 d d)`	overflow	56
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	36	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	111
↳	`(*.f64 c c)`	overflow	65
↳	`(*.f64 d d)`	overflow	56
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	9	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	57
↳	`(*.f64 a c)`	overflow	31
↳	`(*.f64 b d)`	overflow	26
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	3	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	12
↳	`(*.f64 c c)`	underflow	54
↳	`(*.f64 d d)`	underflow	60
`/.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	4
↳	`(*.f64 a c)`	underflow	32
↳	`(*.f64 b d)`	underflow	29
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	2	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	4
↳	`(*.f64 a c)`	underflow	32
↳	`(*.f64 b d)`	underflow	29
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	12
↳	`(*.f64 c c)`	underflow	54
↳	`(*.f64 d d)`	underflow	60

Confusion

	Predicted +	Predicted -
+	99	1
-	1	155

Precision

0.99

Recall

0.99

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	99	0	1
-	1	0	155

Precision?

0.99

Recall?

0.99

Freqs

test

number	freq
0	156
1	100

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions

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

ival-mult: 13.0ms (61.4% of total)

ival-add: 4.0ms (18.9% of total)

ival-div: 3.0ms (14.2% of total)

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

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

preprocess326.0ms (3.4%)

Memory

14.1MiB live, 52.9MiB 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	13

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify4.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.3%)

Memory

8.0MiB live, 46.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a c)
accuracy	0.00390625	(+.f64 (.f64 c c) (.f64 d d))
accuracy	0.00390625	(+.f64 (.f64 a c) (.f64 b d))
accuracy	23.81031199080922	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

21.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 8.0ms (68.1% of total)

ival-div: 2.0ms (17% of total)

ival-add: 2.0ms (17% of total)

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

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

series28.0ms (0.3%)

Memory

-23.5MiB live, 23.9MiB allocated

Counts

4 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	b	@	inf	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
4.0ms	b	@	0	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
1.0ms	c	@	0	(* a c)
1.0ms	c	@	inf	(+ (* c c) (* d d))
1.0ms	a	@	0	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify174.0ms (1.8%)

Memory

20.8MiB live, 290.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1356
1	618	1346
2	1892	1322
3	5763	1320
0	8185	1190

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite239.0ms (2.5%)

Memory

7.6MiB live, 312.8MiB 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	32
0	18	32
1	58	32
2	435	32
3	5073	32
0	8760	28

Stop Event

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

Counts

4 → 339

Calls

Call 1

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

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

eval81.0ms (0.8%)

Memory: -12.6MiB live, 122.5MiB allocated
Compiler: Compiled 17 374 to 1 022 computations (94.1% saved)

prune74.0ms (0.8%)

Memory

-0.2MiB live, 121.5MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	468	15	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	469	15	484

Accuracy

99.8%

Counts

484 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
	62.2%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))))
▶	36.0%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
▶	62.1%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d)))))
	62.2%	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
	38.7%	(.f64 (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c c (.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))))
	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (.f64 d (.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)))
	47.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
	54.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	52.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	49.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d))
▶	37.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
	41.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	43.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Compiler

Compiled 528 to 284 computations (46.2% saved)

simplify206.0ms (2.1%)

Memory

2.8MiB live, 79.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 584×	`lower-fma.f32`
1 578×	`lower-fma.f64`
1 322×	`times-frac`
1 120×	`lower-*.f32`
1 110×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	225
0	47	220
1	69	218
2	139	218
3	416	218
4	766	218
5	1565	218
6	3076	218
7	4300	218
8	4979	218
9	5650	218
10	5757	218
11	6037	218
12	6366	218
13	6404	218
14	6406	218
15	6408	218
16	6412	218
17	6412	218
18	6432	218
19	6440	218
20	6440	218
0	6440	218

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize81.0ms (0.8%)

Memory

8.5MiB live, 85.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 a c (*.f64 b d))
accuracy	0.5462767398564151	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d)))))
accuracy	0.91938332240357	(/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))
accuracy	22.86636830805474	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d))))
accuracy	0	(*.f64 a c)
accuracy	0.00390625	(+.f64 (.f64 a c) (.f64 b d))
accuracy	23.81031199080922	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy	27.734168760948137	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	0	(*.f64 b d)
accuracy	0.00390625	(fma.f64 d d (*.f64 c c))
accuracy	16.157229616176753	(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
accuracy	28.657794762953362	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
accuracy	0	(/.f64 a c)
accuracy	36.0186472865911	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0	(*.f64 d d)
accuracy	0	(*.f64 b d)
accuracy	0.00390625	(fma.f64 a c (*.f64 b d))
accuracy	23.81031199080922	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Samples

52.0ms

256×

valid

Compiler

Compiled 226 to 22 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 13.0ms (49.9% of total)

ival-mult: 8.0ms (30.7% of total)

ival-add: 3.0ms (11.5% of total)

ival-neg: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series48.0ms (0.5%)

Memory

14.6MiB live, 51.4MiB allocated

Counts

17 → 624

Calls

Call 1

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

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

Calls

156 calls:

Time	Variable		Point	Expression
9.0ms	b	@	inf	(* (/ 1 (+ (* a c) (* b d))) (neg (+ (* c c) (* d d))))
1.0ms	b	@	-inf	(* (/ 1 (+ (* a c) (* b d))) (neg (+ (* c c) (* d d))))
1.0ms	a	@	inf	(* (/ 1 (+ (* a c) (* b d))) (neg (+ (* c c) (* d d))))
1.0ms	a	@	0	(* (/ 1 (+ (* a c) (* b d))) (neg (+ (* c c) (* d d))))
1.0ms	b	@	0	(* (/ 1 (+ (* a c) (* b d))) (neg (+ (* c c) (* d d))))

simplify488.0ms (5.1%)

Memory

-26.2MiB live, 223.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 722×	`lower-*.f64`
7 722×	`lower-*.f32`
7 666×	`lower-fma.f64`
7 666×	`lower-fma.f32`
3 054×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	780	9747
1	2663	9483
0	8529	8850

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

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

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

rewrite285.0ms (3%)

Memory

20.3MiB live, 285.3MiB allocated

Rules

7 300×	`lower-fma.f32`
7 294×	`lower-fma.f64`
6 230×	`lower-*.f32`
6 220×	`lower-*.f64`
4 060×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	169
0	47	164
1	147	162
2	977	162
0	8513	162

Stop Event

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

Counts

17 → 1 605

Calls

Call 1

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

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

eval345.0ms (3.6%)

Memory: 31.8MiB live, 413.9MiB allocated
Compiler: Compiled 86 035 to 4 303 computations (95% saved)

prune474.0ms (4.9%)

Memory

-50.4MiB live, 564.3MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	2 661	16	2 677
Fresh	6	4	10
Picked	4	1	5
Done	0	0	0
Total	2 671	21	2 692

Accuracy

99.9%

Counts

2 692 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.0%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
▶	35.0%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	28.1%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	53.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b (fma.f64 a (/.f64 c b) d))) (fma.f64 c c (.f64 d d)))
	37.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) (fma.f64 c c (.f64 d d)))
	18.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	67.9%	(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 d)) d (/.f64 (neg.f64 (.f64 c c)) (fma.f64 a c (.f64 b d)))))
▶	68.0%	(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 c)) c (/.f64 (.f64 d (neg.f64 d)) (fma.f64 a c (.f64 b d)))))
	34.7%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))))
	37.9%	(/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (+ (* a c) (* b d))) (neg (+ (* c c) (* d d)))) (-.f64 (.f64 c (fma.f64 (neg.f64 c) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b d)) (/.f64 (.f64 a a) (.f64 d (.f64 b (.f64 b b))))) (/.f64 a (*.f64 b b)))) (/.f64 d b))))
▶	36.0%	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
	46.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)))
	54.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	52.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	49.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d))
	26.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.f64 d d))))
▶	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	43.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	43.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	39.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))

Compiler

Compiled 698 to 389 computations (44.3% saved)

simplify284.0ms (2.9%)

Memory

18.5MiB live, 93.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff	0	(*.f64 b d)
cost-diff	0	(fma.f64 a c (*.f64 b d))
cost-diff	320	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
cost-diff	0	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
cost-diff	0	(*.f64 b d)
cost-diff	0	(fma.f64 a c (*.f64 b d))
cost-diff	0	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
cost-diff	0	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff	0	(*.f64 c a)
cost-diff	0	#s(approx (+ (* a c) (* b d)) (*.f64 c a))
cost-diff	0	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
cost-diff	0	(/.f64 b d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 c))
cost-diff	832	(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 c)) c (/.f64 (.f64 d (neg.f64 d)) (fma.f64 a c (.f64 b d)))))
cost-diff	1536	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 c)) c (/.f64 (.f64 d (neg.f64 d)) (fma.f64 a c (.f64 b d))))

Rules

2 112×	`lower-fma.f32`
2 108×	`lower-fma.f64`
1 520×	`lower-*.f32`
1 506×	`lower-*.f64`
992×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	283
0	54	283
1	80	275
2	143	275
3	359	263
4	537	263
5	813	258
6	1252	258
7	2025	258
8	3118	258
9	4259	258
10	4905	258
11	5137	258
12	5170	258
13	5196	258
14	5230	258
15	5366	258
16	5430	258
17	5431	258
18	5431	258
19	5431	258
20	5439	258
21	5459	258
22	5467	258
0	5467	248

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize258.0ms (2.7%)

Memory

2.8MiB live, 121.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 a c (*.f64 b d))
accuracy	0.9304757330778277	(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy	23.117922168552504	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
accuracy	27.734168760948144	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	0	(*.f64 b d)
accuracy	0.00390625	(fma.f64 a c (*.f64 b d))
accuracy	23.81031199080922	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
accuracy	28.61671122097268	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	0	(*.f64 c a)
accuracy	23.81031199080922	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
accuracy	27.734168760948144	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	28.67126015307225	#s(approx (+ (* a c) (* b d)) (*.f64 c a))
accuracy	0	(/.f64 b d)
accuracy	38.03722438451836	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy	0.5462767398564151	(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 c)) c (/.f64 (.f64 d (neg.f64 d)) (fma.f64 a c (.f64 b d)))))
accuracy	0.91938332240357	(/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))
accuracy	8.677167953509837	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 c))
accuracy	16.418493327309225	(/.f64 (.f64 d (neg.f64 d)) (fma.f64 a c (.f64 b d)))

Samples

137.0ms

256×

valid

Compiler

Compiled 262 to 28 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 13.0ms (45.6% of total)

ival-div: 9.0ms (31.6% of total)

ival-add: 3.0ms (10.5% of total)

ival-neg: 2.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series97.0ms (1%)

Memory

-10.4MiB live, 64.4MiB allocated

Counts

17 → 672

Calls

Call 1

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

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

Calls

168 calls:

Time	Variable		Point	Expression
30.0ms	d	@	inf	(* (/ 1 (+ (* a c) (* b d))) (neg c))
5.0ms	c	@	0	(* (/ 1 (+ (* a c) (* b d))) (neg c))
2.0ms	b	@	-inf	(+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))
1.0ms	b	@	inf	(/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d)))))
1.0ms	b	@	0	(/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d)))))

simplify336.0ms (3.5%)

Memory

-8.6MiB live, 371.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 666×	`lower-*.f64`
5 666×	`lower-*.f32`
5 434×	`lower-fma.f64`
5 434×	`lower-fma.f32`
3 268×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1622	15027
1	5487	14502
0	8188	13943

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

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

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

rewrite287.0ms (3%)

Memory

31.6MiB live, 359.3MiB allocated

Rules

7 042×	`lower-fma.f32`
7 038×	`lower-fma.f64`
4 522×	`lower-*.f32`
4 508×	`lower-*.f64`
3 538×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	218
0	54	216
1	169	210
2	1147	200
0	8393	191

Stop Event

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

Counts

17 → 602

Calls

Call 1

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

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

eval465.0ms (4.8%)

Memory: -100.3MiB live, 465.1MiB allocated
Compiler: Compiled 56 487 to 3 864 computations (93.2% saved)

prune381.0ms (4%)

Memory

-2.5MiB live, 350.8MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	1 711	10	1 721
Fresh	6	9	15
Picked	3	2	5
Done	0	1	1
Total	1 720	22	1 742

Accuracy

99.9%

Counts

1 742 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.0%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	35.0%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	26.0%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	18.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	19.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	32.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b (fma.f64 a (/.f64 c b) d))) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	37.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	67.9%	(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 b d))) d (neg.f64 (/.f64 (.f64 c c) (fma.f64 a c (*.f64 b d))))))
	66.6%	(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 c)) c #s(approx (/ (* d (neg d)) (+ (* a c) (* b d))) (/.f64 (neg.f64 d) b))))
	56.1%	(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d)))) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 d d) c)) a))))
	18.6%	(.f64 #s(approx (+ ( a c) (* b d)) (.f64 d b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (*.f64 c c))))
	46.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)))
	54.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	52.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	49.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d))
✓	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	43.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	40.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
▶	43.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	39.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
▶	56.2%	#s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (+.f64 c (/.f64 (*.f64 d d) c))))

Compiler

Compiled 617 to 350 computations (43.3% saved)

simplify151.0ms (1.6%)

Memory

7.4MiB live, 46.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 d d) c)
cost-diff	0	(/.f64 a (+.f64 c (/.f64 (*.f64 d d) c)))
cost-diff	0	#s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (+.f64 c (/.f64 (*.f64 d d) c))))
cost-diff	128	(+.f64 c (/.f64 (*.f64 d d) c))
cost-diff	0	(fma.f64 c c (*.f64 d d))
cost-diff	0	(*.f64 b d)
cost-diff	0	#s(approx (+ (* a c) (* b d)) (*.f64 b d))
cost-diff	0	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) (fma.f64 c c (.f64 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 #s(literal 1 binary64) c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
cost-diff	0	(neg.f64 d)
cost-diff	0	(/.f64 (neg.f64 d) (fma.f64 a c (*.f64 b d)))
cost-diff	832	(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 b d))) d (neg.f64 (/.f64 (.f64 c c) (fma.f64 a c (*.f64 b d))))))
cost-diff	1536	(fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 b d))) d (neg.f64 (/.f64 (.f64 c c) (fma.f64 a c (*.f64 b d)))))

Rules

1 424×	`lower-fma.f32`
1 418×	`lower-fma.f64`
1 024×	`lower-*.f32`
1 014×	`lower-*.f64`
480×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	280
0	69	280
1	113	273
2	190	273
3	397	273
4	600	252
5	1020	249
6	1421	243
7	1870	243
8	2441	243
9	2700	243
10	2771	243
11	2840	243
12	2893	243
13	2966	243
14	3061	243
15	3084	243
16	3094	243
17	3102	243
18	3106	243
19	3106	243
0	3106	240

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize105.0ms (1.1%)

Memory

-15.6MiB live, 86.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 c (/.f64 (*.f64 d d) c))
accuracy	3.7107065401642525	(/.f64 a (+.f64 c (/.f64 (*.f64 d d) c)))
accuracy	4.8844018389599215	(/.f64 (*.f64 d d) c)
accuracy	25.106885869938278	#s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (+.f64 c (/.f64 (*.f64 d d) c))))
accuracy	0	(*.f64 d d)
accuracy	0	(*.f64 b d)
accuracy	23.81031199080922	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) (fma.f64 c c (.f64 d d)))
accuracy	33.035427176444905	#s(approx (+ (* a c) (* b d)) (*.f64 b d))
accuracy	0	(*.f64 d b)
accuracy	23.81031199080922	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
accuracy	28.61671122097268	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	33.035427176444905	#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy	0	(/.f64 #s(literal 1 binary64) c)
accuracy	0.18359375	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
accuracy	36.0186472865911	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
accuracy	0.12109375	(fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 b d))) d (neg.f64 (/.f64 (.f64 c c) (fma.f64 a c (*.f64 b d)))))
accuracy	0.5462767398564151	(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 b d))) d (neg.f64 (/.f64 (.f64 c c) (fma.f64 a c (*.f64 b d))))))
accuracy	8.884148439106955	(/.f64 (neg.f64 d) (fma.f64 a c (*.f64 b d)))
accuracy	16.595450519995765	(/.f64 (.f64 c c) (fma.f64 a c (.f64 b d)))

Samples

71.0ms

256×

valid

Compiler

Compiled 264 to 36 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 18.0ms (37.2% of total)

ival-mult: 18.0ms (37.2% of total)

ival-neg: 7.0ms (14.5% of total)

ival-add: 5.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

series75.0ms (0.8%)

Memory

-0.7MiB live, 74.9MiB allocated

Counts

21 → 720

Calls

Call 1

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

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

Calls

180 calls:

Time	Variable		Point	Expression
14.0ms	d	@	inf	(/ -1 (+ (* (/ (neg d) (+ (* a c) (* b d))) d) (neg (/ (* c c) (+ (* a c) (* b d))))))
5.0ms	a	@	-inf	(/ -1 (+ (* (/ (neg d) (+ (* a c) (* b d))) d) (neg (/ (* c c) (+ (* a c) (* b d))))))
1.0ms	a	@	inf	(/ -1 (+ (* (/ (neg d) (+ (* a c) (* b d))) d) (neg (/ (* c c) (+ (* a c) (* b d))))))
1.0ms	b	@	inf	(/ -1 (+ (* (/ (neg d) (+ (* a c) (* b d))) d) (neg (/ (* c c) (+ (* a c) (* b d))))))
1.0ms	a	@	0	(/ -1 (+ (* (/ (neg d) (+ (* a c) (* b d))) d) (neg (/ (* c c) (+ (* a c) (* b d))))))

simplify300.0ms (3.1%)

Memory

-5.1MiB live, 268.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 510×	`lower-*.f64`
4 510×	`lower-*.f32`
3 826×	`lower-fma.f64`
3 826×	`lower-fma.f32`
3 272×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1793	17608
1	6296	17049
0	8244	16465

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 717

Calls

Call 1

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

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

rewrite293.0ms (3%)

Memory

21.3MiB live, 369.1MiB allocated

Rules

6 714×	`lower-fma.f32`
6 708×	`lower-fma.f64`
5 192×	`lower-/.f32`
5 176×	`lower-/.f64`
4 246×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	235
0	69	235
1	252	207
2	1869	207
0	8404	204

Stop Event

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

Counts

21 → 594

Calls

Call 1

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

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

eval196.0ms (2%)

Memory: 17.7MiB live, 344.9MiB allocated
Compiler: Compiled 44 329 to 3 415 computations (92.3% saved)

prune323.0ms (3.4%)

Memory

-33.7MiB live, 369.6MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1 408	5	1 413
Fresh	2	12	14
Picked	2	3	5
Done	0	3	3
Total	1 412	23	1 435

Accuracy

99.9%

Counts

1 435 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.0%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	35.0%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	26.0%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	18.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	19.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	37.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) (fma.f64 c c (.f64 d d)))
	71.7%	(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 b d))) d (neg.f64 #s(approx (/ ( c c) (+ (* a c) (* b d))) (/.f64 c a)))))
	66.6%	(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 c)) c #s(approx (/ (* d (neg d)) (+ (* a c) (* b d))) (/.f64 (neg.f64 d) b))))
	18.6%	(.f64 #s(approx (+ ( a c) (* b d)) (.f64 d b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (*.f64 c c))))
	46.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)))
	54.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	52.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	49.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d))
✓	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	43.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	40.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
✓	43.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	39.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
	57.3%	#s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (fma.f64 (/.f64 d c) d c)))
	20.1%	#s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a #s(approx (+ c (/ (* d d) c)) (/.f64 (*.f64 d d) c))))
	57.2%	#s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 d c) c)) a))
	20.1%	#s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) #s(approx (/ a (+ c (/ (* d d) c))) (.f64 a (/.f64 c (.f64 d d)))))

Compiler

Compiled 952 to 319 computations (66.5% saved)

regimes76.0ms (0.8%)

Memory

20.4MiB live, 130.6MiB allocated

Counts

47 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

17.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
16.0ms	d
14.0ms	b
13.0ms	c
13.0ms	a

Results

Accuracy	Segments	Branch
89.5%	3	`a`
88.1%	3	`b`
91.6%	5	`c`
88.4%	5	`d`
85.3%	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes56.0ms (0.6%)

Memory

-30.0MiB live, 91.6MiB allocated

Counts

40 → 5

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	a
14.0ms	b
12.0ms	d
11.0ms	c

Results

Accuracy	Segments	Branch
87.0%	5	`d`
83.1%	5	`b`
88.4%	5	`c`
80.6%	3	`a`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes12.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

37 → 5

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
87.6%	5	`c`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes54.0ms (0.6%)

Memory

-0.4MiB live, 39.0MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

36.0ms	c
9.0ms	d
8.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
61.5%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
81.7%	3	`d`
81.5%	3	`c`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes42.0ms (0.4%)

Memory

4.0MiB live, 46.2MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

20.0ms	c
7.0ms	a
7.0ms	b
7.0ms	d

Results

Accuracy	Segments	Branch
69.0%	4	`b`
68.3%	4	`a`
79.3%	3	`c`
76.2%	3	`d`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes15.0ms (0.2%)

Memory

-19.0MiB live, 19.4MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

8.0ms	c
6.0ms	d

Results

Accuracy	Segments	Branch
71.4%	3	`d`
72.9%	3	`c`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

20 → 4

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	c
6.0ms	d

Results

Accuracy	Segments	Branch
67.6%	4	`d`
69.6%	4	`c`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-28.8MiB live, 9.7MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
69.5%	4	`c`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
67.6%	3	`c`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
43.7%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
43.7%	1	`d`
43.7%	1	`a`
43.7%	1	`b`
43.7%	1	`c`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch32.0ms (0.3%)

Memory

17.3MiB live, 54.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	212762.07373874597	53559125868962.375
14.0ms	-8.486910442301397e-23	-4.320995459084425e-25

Samples

16.0ms

256×

valid

Compiler

Compiled 790 to 498 computations (37% saved)

Precisions

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

ival-mult: 6.0ms (60% of total)

ival-add: 2.0ms (20% of total)

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

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

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

bsearch68.0ms (0.7%)

Memory

-28.6MiB live, 71.0MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	5.5209593635303887e+110	2.567420145067836e+134
12.0ms	2.0744560595013232e-94	6.060948570138414e-91
15.0ms	-1.465470695493649e-58	-4.6655900576431536e-64
17.0ms	-1.198137620011544e+155	-7.891448081364668e+150

Samples

42.0ms

576×

valid

Compiler

Compiled 1 327 to 751 computations (43.4% saved)

Precisions

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

ival-mult: 18.0ms (67.2% of total)

ival-add: 5.0ms (18.7% of total)

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

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

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

bsearch16.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	5.5209593635303887e+110	2.567420145067836e+134
1.0ms	2.0744560595013232e-94	6.060948570138414e-91
13.0ms	-4.6655900576431536e-64	-4.240083617804207e-67
1.0ms	-1.198137620011544e+155	-7.891448081364668e+150

Samples

8.0ms

128×

valid

Compiler

Compiled 1 142 to 648 computations (43.3% saved)

Precisions

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

ival-mult: 3.0ms (59.1% of total)

ival-div: 1.0ms (19.7% of total)

ival-add: 1.0ms (19.7% of total)

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

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

bsearch41.0ms (0.4%)

Memory

-12.2MiB live, 26.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1188845918760.9805	124780617826135580.0
24.0ms	-7.90036530819524e+104	-7.700845745979287e+98

Samples

28.0ms

288×

valid

Compiler

Compiled 526 to 306 computations (41.8% saved)

Precisions

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

ival-mult: 7.0ms (62% of total)

ival-div: 2.0ms (17.7% of total)

ival-add: 2.0ms (17.7% of total)

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

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

bsearch34.0ms (0.3%)

Memory

14.9MiB live, 51.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.8354659851095046e-31	5.6484658658851775e-18
15.0ms	-1.465470695493649e-58	-4.6655900576431536e-64

Samples

19.0ms

288×

valid

Compiler

Compiled 554 to 322 computations (41.9% saved)

Precisions

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

ival-mult: 7.0ms (59.9% of total)

ival-div: 2.0ms (17.1% of total)

ival-add: 2.0ms (17.1% of total)

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

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

bsearch28.0ms (0.3%)

Memory

0.1MiB live, 42.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.622347029931154e-111	1.7235383645593882e-109
14.0ms	-4.6655900576431536e-64	-4.240083617804207e-67

Samples

18.0ms

224×

valid

Compiler

Compiled 367 to 228 computations (37.9% saved)

Precisions

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

ival-mult: 9.0ms (75.2% of total)

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

ival-div: 1.0ms (8.4% of total)

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

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

bsearch52.0ms (0.5%)

Memory

6.5MiB live, 75.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	5.5731509192387695e-56	6.176076479742351e-42
8.0ms	-4.6655900576431536e-64	-4.240083617804207e-67
20.0ms	-5.6743587762923525e+106	-1.1912131238088112e+97

Samples

29.0ms

400×

valid

Compiler

Compiled 652 to 408 computations (37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 13.0ms (67% of total)

ival-add: 3.0ms (15.5% of total)

ival-div: 2.0ms (10.3% of total)

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

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

bsearch9.0ms (0.1%)

Memory

-27.5MiB live, 9.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	5.5731509192387695e-56	6.176076479742351e-42
1.0ms	-4.6655900576431536e-64	-4.240083617804207e-67
5.0ms	-1.198137620011544e+155	-7.891448081364668e+150

Samples

3.0ms

48×

valid

Compiler

Compiled 602 to 378 computations (37.2% saved)

Precisions

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

ival-mult: 1.0ms (53.5% of total)

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

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

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

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

bsearch9.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.5731509192387695e-56	6.176076479742351e-42
8.0ms	-1129378195721085.5	-293791815763227.2

Samples

5.0ms

80×

valid

Compiler

Compiled 292 to 198 computations (32.2% saved)

Precisions

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

ival-mult: 2.0ms (62.3% of total)

ival-add: 1.0ms (31.1% of total)

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

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

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

simplify15.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
24×	`+-commutative_binary64`
24×	`sub-neg_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	129	892
1	150	892
2	174	892
3	198	892
4	212	891
5	220	891

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 a #s(literal -7316070888800177/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 b d))) d (neg.f64 #s(approx (/ ( c c) (+ (* a c) (* b d))) (/.f64 c a))))) (if (<=.f64 a #s(literal 52000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 c)) c #s(approx (/ (* d (neg d)) (+ (* a c) (* b d))) (/.f64 (neg.f64 d) b)))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 b d))) d (neg.f64 #s(approx (/ ( c c) (+ (* a c) (* b d))) (/.f64 c a)))))))
(if (<=.f64 c #s(literal -11000000000000000334320601118516288408297176070336907489233833427183646445358113798218747039826875166233010698250610230418128560342925893581518330134528 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 -6368564908052391/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c #s(literal 8830520111229613/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d)) (if (<=.f64 c #s(literal 590000000000000008270159214875704423779277897702495757701246159202615557334085292659800932382937610067980224070435209216 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))))
(if (<=.f64 c #s(literal -11000000000000000334320601118516288408297176070336907489233833427183646445358113798218747039826875166233010698250610230418128560342925893581518330134528 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 -4458273336650843/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c #s(literal 8830520111229613/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 590000000000000008270159214875704423779277897702495757701246159202615557334085292659800932382937610067980224070435209216 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))))
(if (<=.f64 d #s(literal -1150000000000000095995080465253068590639969257794463625521126231226582308872090211549720456581873664 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 2250000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 c #s(literal -7598855856198875/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (fma.f64 (/.f64 d c) d c))) (if (<=.f64 c #s(literal 5444517870735015/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (fma.f64 (/.f64 d c) d c)))))
(if (<=.f64 c #s(literal -4979986173918495/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (fma.f64 (/.f64 d c) d c))) (if (<=.f64 c #s(literal 5288447750321989/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (fma.f64 (/.f64 d c) d c)))))
(if (<=.f64 c #s(literal -26000000000000001579076504189195311769415246360369075598875555081428093558730436601457593086352818176 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -533569947205553/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (if (<=.f64 c #s(literal 7532522082464017/1569275433846670190958947355801916604025588861116008628224 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)))))
(if (<=.f64 c #s(literal -7999999999999999846684769379498996724584960112242550344729318481232800897629428663810386148929769215701616482129408043524536258649667231585866988126208 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -4979986173918495/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))) (if (<=.f64 c #s(literal 7532522082464017/1569275433846670190958947355801916604025588861116008628224 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)))))
(if (<=.f64 c #s(literal -370000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 7532522082464017/1569275433846670190958947355801916604025588861116008628224 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 a #s(literal -7316070888800177/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 b d))) d (neg.f64 #s(approx (/ ( c c) (+ (* a c) (* b d))) (/.f64 c a))))) (if (<=.f64 a #s(literal 52000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 c)) c #s(approx (/ (* d (neg d)) (+ (* a c) (* b d))) (/.f64 (neg.f64 d) b)))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 b d))) d (neg.f64 #s(approx (/ ( c c) (+ (* a c) (* b d))) (/.f64 c a)))))))
(if (<=.f64 a #s(literal -7316070888800177/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 d b))) d (neg.f64 #s(approx (/ ( c c) (+ (* a c) (* b d))) (/.f64 c a))))) (if (<=.f64 a #s(literal 52000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 c (/.f64 #s(literal -1 binary64) (fma.f64 a c (.f64 d b)))) c #s(approx (/ (* d (neg d)) (+ (* a c) (* b d))) (neg.f64 (/.f64 d b))))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 d) (fma.f64 a c (.f64 d b))) d (neg.f64 #s(approx (/ ( c c) (+ (* a c) (* b d))) (/.f64 c a)))))))
(if (<=.f64 c #s(literal -11000000000000000334320601118516288408297176070336907489233833427183646445358113798218747039826875166233010698250610230418128560342925893581518330134528 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 -6368564908052391/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c #s(literal 8830520111229613/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d)) (if (<=.f64 c #s(literal 590000000000000008270159214875704423779277897702495757701246159202615557334085292659800932382937610067980224070435209216 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))))
(if (<=.f64 c #s(literal -11000000000000000334320601118516288408297176070336907489233833427183646445358113798218747039826875166233010698250610230418128560342925893581518330134528 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 -6368564908052391/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c #s(literal 8830520111229613/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (neg.f64 (/.f64 (.f64 c c) d)) (.f64 a c)) d)) d)) (if (<=.f64 c #s(literal 590000000000000008270159214875704423779277897702495757701246159202615557334085292659800932382937610067980224070435209216 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))))
(if (<=.f64 c #s(literal -11000000000000000334320601118516288408297176070336907489233833427183646445358113798218747039826875166233010698250610230418128560342925893581518330134528 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 -4458273336650843/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c #s(literal 8830520111229613/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 590000000000000008270159214875704423779277897702495757701246159202615557334085292659800932382937610067980224070435209216 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))))
(if (<=.f64 c #s(literal -11000000000000000334320601118516288408297176070336907489233833427183646445358113798218747039826875166233010698250610230418128560342925893581518330134528 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 -4458273336650843/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c #s(literal 8830520111229613/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 590000000000000008270159214875704423779277897702495757701246159202615557334085292659800932382937610067980224070435209216 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))))
(if (<=.f64 d #s(literal -1150000000000000095995080465253068590639969257794463625521126231226582308872090211549720456581873664 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 2250000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 c #s(literal -7598855856198875/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) #s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (fma.f64 (/.f64 d c) d c))) (if (<=.f64 c #s(literal 5444517870735015/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (fma.f64 (/.f64 d c) d c)))))
(if (<=.f64 c #s(literal -4979986173918495/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (fma.f64 (/.f64 d c) d c))) (if (<=.f64 c #s(literal 5288447750321989/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ -1 (+ (* (* (/ 1 (+ (* a c) (* b d))) (neg c)) c) (/ (* d (neg d)) (+ (* a c) (* b d))))) (/.f64 a (fma.f64 (/.f64 d c) d c)))))
(if (<=.f64 c #s(literal -26000000000000001579076504189195311769415246360369075598875555081428093558730436601457593086352818176 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -533569947205553/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (if (<=.f64 c #s(literal 7532522082464017/1569275433846670190958947355801916604025588861116008628224 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)))))
(if (<=.f64 c #s(literal -7999999999999999846684769379498996724584960112242550344729318481232800897629428663810386148929769215701616482129408043524536258649667231585866988126208 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -4979986173918495/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))) (if (<=.f64 c #s(literal 7532522082464017/1569275433846670190958947355801916604025588861116008628224 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)))))
(if (<=.f64 c #s(literal -370000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 7532522082464017/1569275433846670190958947355801916604025588861116008628224 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))

soundness1.3s (13.4%)

Memory

-14.8MiB live, 907.2MiB allocated

Rules

7 676×	`lower-fma.f64`
7 676×	`lower-fma.f32`
7 300×	`lower-fma.f32`
7 294×	`lower-fma.f64`
7 042×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1356
1	618	1346
2	1892	1322
3	5763	1320
0	8185	1190
0	32	169
0	47	164
1	147	162
2	977	162
0	8513	162
0	1793	17608
1	6296	17049
0	8244	16465
0	46	235
0	69	235
1	252	207
2	1869	207
0	8404	204
0	35	218
0	54	216
1	169	210
2	1147	200
0	8393	191
0	11	32
0	18	32
1	58	32
2	435	32
3	5073	32
0	8760	28
0	1622	15027
1	5487	14502
0	8188	13943

Stop Event

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

Compiler

Compiled 980 to 421 computations (57% saved)

preprocess161.0ms (1.7%)

Memory: -22.4MiB live, 106.8MiB allocated
Compiler: Compiled 934 to 264 computations (71.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze28.0ms (0.3%)

sample998.0ms (10.4%)

explain127.0ms (1.3%)

preprocess326.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize31.0ms (0.3%)

series28.0ms (0.3%)

simplify174.0ms (1.8%)

rewrite239.0ms (2.5%)

eval81.0ms (0.8%)

prune74.0ms (0.8%)

simplify206.0ms (2.1%)

localize81.0ms (0.8%)

series48.0ms (0.5%)

simplify488.0ms (5.1%)

rewrite285.0ms (3%)

eval345.0ms (3.6%)

prune474.0ms (4.9%)

simplify284.0ms (2.9%)

localize258.0ms (2.7%)

series97.0ms (1%)

simplify336.0ms (3.5%)

rewrite287.0ms (3%)

eval465.0ms (4.8%)

prune381.0ms (4%)

simplify151.0ms (1.6%)

localize105.0ms (1.1%)

series75.0ms (0.8%)

simplify300.0ms (3.1%)

rewrite293.0ms (3%)

eval196.0ms (2%)

prune323.0ms (3.4%)

regimes76.0ms (0.8%)

regimes56.0ms (0.6%)

regimes12.0ms (0.1%)

regimes54.0ms (0.6%)

regimes42.0ms (0.4%)

regimes15.0ms (0.2%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch68.0ms (0.7%)

bsearch16.0ms (0.2%)

bsearch41.0ms (0.4%)

bsearch34.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch52.0ms (0.5%)

bsearch9.0ms (0.1%)

bsearch9.0ms (0.1%)

simplify15.0ms (0.2%)

soundness1.3s (13.4%)

preprocess161.0ms (1.7%)

end0.0ms (0%)

Profiling