Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze28.0ms (0.4%)

Memory

-1.3MiB live, 37.2MiB 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)

sample859.0ms (12.4%)

Memory

46.2MiB live, 901.9MiB allocated

Samples

576.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-mult: 222.0ms (61.3% of total)

ival-add: 71.0ms (19.6% of total)

ival-div: 59.0ms (16.3% of total)

ival-true: 7.0ms (1.9% of total)

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

Bogosity

explain379.0ms (5.5%)

Memory

-189.4MiB live, 144.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
112	-	1	(36801.123410469336 5.501828414606513e+121 1.5258774420245122e-266 5.831268686947637e-158)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
2	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`
0	-	0	-	`d`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	53	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	67
↳	`(*.f64 a c)`	overflow	35
↳	`(*.f64 b d)`	overflow	36
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	117
↳	`(*.f64 c c)`	overflow	67
↳	`(*.f64 d d)`	overflow	66
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	33	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	117
↳	`(*.f64 c c)`	overflow	67
↳	`(*.f64 d d)`	overflow	66
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	14	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	67
↳	`(*.f64 a c)`	overflow	35
↳	`(*.f64 b d)`	overflow	36
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	8	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	16
↳	`(*.f64 c c)`	underflow	56
↳	`(*.f64 d d)`	underflow	66
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	3	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	3
↳	`(*.f64 a c)`	underflow	25
↳	`(*.f64 b d)`	underflow	32
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	16
↳	`(*.f64 c c)`	underflow	56
↳	`(*.f64 d d)`	underflow	66
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	2	0
↳	`(*.f64 a c)`	overflow	35
↳	`(*.f64 b d)`	overflow	36

Confusion

	Predicted +	Predicted -
+	111	1
-	0	144

Precision

1.0

Recall

0.9910714285714286

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	111	0	1
-	0	0	144

Precision?

1.0

Recall?

0.9910714285714286

Freqs

test

number	freq
0	145
1	109
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions

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

ival-mult: 18.0ms (58.9% of total)

ival-div: 8.0ms (26.2% of total)

ival-add: 4.0ms (13.1% of total)

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

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

preprocess334.0ms (4.8%)

Memory

-12.7MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.8%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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))

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

localize29.0ms (0.4%)

Memory

-5.7MiB live, 33.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b d)
accuracy	0	(*.f64 a c)
accuracy	0.4570291858302058	(+.f64 (.f64 a c) (.f64 b d))
accuracy	26.77503801796399	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

20.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

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

ival-mult: 7.0ms (64.6% of total)

ival-div: 2.0ms (18.5% of total)

ival-add: 2.0ms (18.5% of total)

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

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

series19.0ms (0.3%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

5 → 168

Calls

Call 1

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

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

Calls

12 calls:

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

simplify346.0ms (5%)

Memory

-20.4MiB live, 68.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1428
1	618	1418
2	1890	1394
3	5760	1392
0	8187	1262

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite171.0ms (2.5%)

Memory

-8.3MiB live, 104.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 346

Calls

Call 1

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

Outputs
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eval71.0ms (1%)

Memory: 25.1MiB live, 65.8MiB allocated
Compiler: Compiled 14 630 to 1 084 computations (92.6% saved)

prune19.0ms (0.3%)

Memory

2.6MiB live, 39.6MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	501	13	514
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	502	13	515

Accuracy

100.0%

Counts

515 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (fma.f64 d d (.f64 c c))) (fma.f64 (neg.f64 d) b (.f64 c a)))
	32.7%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	33.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	57.4%	(/.f64 (.f64 (fma.f64 d b (.f64 c a)) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64)))) (+.f64 (.f64 c c) (*.f64 d d)))
▶	36.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
▶	57.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))))
	56.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	51.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
▶	48.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c))
	41.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	43.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	41.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
	36.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))

Compiler

Compiled 602 to 380 computations (36.9% saved)

simplify265.0ms (3.8%)

Memory

-0.5MiB live, 75.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c))
cost-diff	128	(-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c))
cost-diff	320	(fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) 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)) (+.f64 (.f64 c c) (*.f64 d d)))
cost-diff	128	(+.f64 (.f64 c c) (.f64 d d))
cost-diff	0	(fma.f64 d d (*.f64 c c))
cost-diff	0	(/.f64 b (fma.f64 d d (*.f64 c c)))
cost-diff	0	(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
cost-diff	0	(/.f64 a c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
cost-diff	0	(*.f64 c c)
cost-diff	0	(fma.f64 d d (*.f64 c c))
cost-diff	0	(/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	290
0	55	280
1	83	280
2	126	268
3	224	268
4	567	268
5	1823	268
6	4395	268
7	5640	268
8	6271	268
9	6465	268
10	6619	268
11	6673	268
12	6695	268
13	6792	268
14	6967	268
15	7178	268
16	7180	268
17	7180	268
0	8002	265

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (1.6%)

Memory

-1.9MiB live, 117.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	4.334721680040032	(/.f64 (.f64 (.f64 d d) a) c)
accuracy	5.253039136220054	(/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)
accuracy	7.5311099880536485	(.f64 (.f64 d d) a)
accuracy	28.572735246473677	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c))
accuracy	0	(*.f64 c c)
accuracy	0	(*.f64 c a)
accuracy	26.77503801796399	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
accuracy	32.445191825931595	#s(approx (+ (* a c) (* b d)) (*.f64 c a))
accuracy	0	(*.f64 c c)
accuracy	8.400995289325492	(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
accuracy	10.05837067478948	(/.f64 b (fma.f64 d d (*.f64 c c)))
accuracy	26.578189035942376	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
accuracy	0	(/.f64 a c)
accuracy	36.15607890537808	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0	(*.f64 c a)
accuracy	0.2578097476055602	(fma.f64 d b (*.f64 c a))
accuracy	0.3518825267613453	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))))
accuracy	26.75774560757355	(/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))

Samples

91.0ms

256×

valid

Compiler

Compiled 554 to 66 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 20.0ms (42.3% of total)

ival-div: 19.0ms (40.2% of total)

ival-add: 5.0ms (10.6% of total)

ival-sub: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series113.0ms (1.6%)

Memory

-8.6MiB live, 113.9MiB allocated

Counts

21 → 816

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	b	@	0	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (+ (* d b) (* c a)) (* (* d d) a) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c) (/ (* (* d d) a) c))
9.0ms	a	@	inf	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (+ (* d b) (* c a)) (* (* d d) a) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c) (/ (* (* d d) a) c))
8.0ms	d	@	-inf	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (+ (* d b) (* c a)) (* (* d d) a) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c) (/ (* (* d d) a) c))
4.0ms	a	@	-inf	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (+ (* d b) (* c a)) (* (* d d) a) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c) (/ (* (* d d) a) c))
4.0ms	a	@	0	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (+ (* d b) (* c a)) (* (* d d) a) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c) (/ (* (* d d) a) c))

simplify185.0ms (2.7%)

Memory

18.2MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	787	12036
1	2648	11583
0	8291	10918

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 813

Calls

Call 1

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

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

rewrite174.0ms (2.5%)

Memory

5.8MiB live, 161.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	250
0	55	238
1	225	238
2	1633	238
0	8392	238

Stop Event

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

Counts

21 → 884

Calls

Call 1

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

Outputs
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eval284.0ms (4.1%)

Memory: 30.5MiB live, 284.8MiB allocated
Compiler: Compiled 67 693 to 4 381 computations (93.5% saved)

prune62.0ms (0.9%)

Memory

-27.4MiB live, 131.5MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 816	11	1 827
Fresh	4	4	8
Picked	3	2	5
Done	0	0	0
Total	1 823	17	1 840

Accuracy

100.0%

Counts

1 840 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
▶	18.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	26.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	41.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 d b)))
	43.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
▶	55.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
	51.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
▶	21.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c))
▶	41.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	49.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (fma.f64 (/.f64 d a) (/.f64 b (fma.f64 c c (.f64 d d))) (/.f64 c (fma.f64 c c (*.f64 d d)))) a))
	38.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
✓	41.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
	21.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d))
	36.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
▶	23.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c))))

Compiler

Compiled 851 to 523 computations (38.5% saved)

simplify200.0ms (2.9%)

Memory

11.3MiB live, 108.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	304
0	52	304
1	81	299
2	116	289
3	185	289
4	490	289
5	1616	289
6	4200	289
7	5384	289
8	5895	289
9	6102	289
10	6168	289
11	6212	289
12	6959	289
13	7324	289
14	7484	289
15	7753	289
16	7913	289
0	8007	272

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (1.5%)

Memory

-14.8MiB live, 135.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.4579902298394527	(/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c)
accuracy	5.8597653574969195	(/.f64 (*.f64 b d) c)
accuracy	28.572735246473677	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c))
accuracy	41.85081316620844	#s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c))
accuracy	0	(/.f64 b c)
accuracy	2.5688748564629367	(*.f64 (/.f64 b c) (/.f64 d c))
accuracy	28.572735246473677	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c))))
accuracy	37.36476787347558	#s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c)))
accuracy	0	(*.f64 c a)
accuracy	26.77503801796399	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
accuracy	28.15448823340079	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	32.445191825931595	#s(approx (+ (* a c) (* b d)) (*.f64 c a))
accuracy	0	(/.f64 b d)
accuracy	37.37961047656651	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy	0	(/.f64 d c)
accuracy	0.7603664173033107	(/.f64 (fma.f64 (/.f64 d c) b a) c)
accuracy	3.163948629792915	(fma.f64 (/.f64 d c) b a)
accuracy	27.965873819867483	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))

Samples

82.0ms

256×

valid

Compiler

Compiled 511 to 69 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 29.0ms (57.9% of total)

ival-mult: 14.0ms (27.9% of total)

ival-add: 4.0ms (8% of total)

ival-sub: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series64.0ms (0.9%)

Memory

32.8MiB live, 104.3MiB allocated

Counts

18 → 720

Calls

Call 1

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

Outputs
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#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (*.f64 (/.f64 b c) (/.f64 d c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (*.f64 (/.f64 b c) (/.f64 d c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (*.f64 (/.f64 b c) (/.f64 d c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (*.f64 (/.f64 b c) (/.f64 d c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (*.f64 b d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (*.f64 b d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (*.f64 b d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (*.f64 b d) c) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	b	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* (/ b c) (/ d c)) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (* b d) c))
3.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* (/ b c) (/ d c)) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (* b d) c))
3.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* (/ b c) (/ d c)) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (* b d) c))
3.0ms	b	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* (/ b c) (/ d c)) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (* b d) c))
2.0ms	b	@	0	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* (/ b c) (/ d c)) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (* b d) c))

simplify193.0ms (2.8%)

Memory

-6.4MiB live, 218.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	8930
1	1153	8691
2	3662	8375
0	8127	7834

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 711

Calls

Call 1

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

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

rewrite195.0ms (2.8%)

Memory

-16.8MiB live, 239.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	280
0	52	280
1	205	275
2	1576	275
0	8210	263

Stop Event

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

Counts

18 → 359

Calls

Call 1

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

Outputs
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eval301.0ms (4.4%)

Memory: 17.4MiB live, 170.1MiB allocated
Compiler: Compiled 42 116 to 1 753 computations (95.8% saved)

prune47.0ms (0.7%)

Memory

-12.1MiB live, 72.8MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 108	6	1 114
Fresh	4	6	10
Picked	0	5	5
Done	0	2	2
Total	1 112	19	1 131

Accuracy

100.0%

Counts

1 131 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 d b (.f64 c a))) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	26.6%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	18.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	26.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
▶	41.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 d b)))
	43.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
✓	55.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
▶	51.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
✓	21.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c))
✓	41.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	38.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
✓	41.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
▶	21.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d))
	36.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
	19.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (/.f64 (.f64 d b) (.f64 c c))))
✓	23.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c))))
	20.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 b (/.f64 (/.f64 d c) c))))
▶	19.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c)))))

Compiler

Compiled 887 to 543 computations (38.8% saved)

simplify321.0ms (4.6%)

Memory

-11.1MiB live, 109.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	306
0	61	306
1	92	304
2	137	300
3	207	300
4	510	300
5	1650	300
6	4322	300
7	5757	300
8	6333	300
9	6549	300
10	6637	300
11	6684	300
12	6710	300
13	6827	300
14	7068	300
15	7261	300
16	7371	300
17	7371	300
0	8153	280

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (1.3%)

Memory

12.7MiB live, 119.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 d b)
accuracy	0.3518825267613453	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 d b)))
accuracy	38.17012021019845	#s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 d b))
accuracy	0	(*.f64 d b)
accuracy	26.77503801796399	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
accuracy	28.15448823340079	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	29.41981545672437	#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy	8.400995289325492	(.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d)
accuracy	10.05837067478948	(/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
accuracy	26.25939191668798	#s(approx (+ (* d d) (* c c)) (*.f64 c c))
accuracy	26.578189035942376	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d))
accuracy	7.153607593874649	(/.f64 d (*.f64 c c))
accuracy	7.545882259859355	(.f64 b (/.f64 d (.f64 c c)))
accuracy	28.572735246473677	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c)))))
accuracy	37.36476787347558	#s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c))))
accuracy	0	(/.f64 a d)
accuracy	1.169262450315573	(fma.f64 (/.f64 a d) c b)
accuracy	1.6909354553196996	(/.f64 (fma.f64 (/.f64 a d) c b) d)
accuracy	30.723379828446614	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))

Samples

69.0ms

256×

valid

Compiler

Compiled 520 to 83 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 18.0ms (39.4% of total)

ival-mult: 18.0ms (39.4% of total)

ival-add: 7.0ms (15.3% of total)

ival-sub: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series125.0ms (1.8%)

Memory

-17.3MiB live, 64.0MiB allocated

Counts

19 → 732

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (.f64 b (/.f64 d (.f64 c c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (.f64 b (/.f64 d (.f64 c c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (.f64 b (/.f64 d (.f64 c c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (.f64 b (/.f64 d (.f64 c c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
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Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* b (/ d (* c c))) (/ d (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/ d b))
3.0ms	b	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* b (/ d (* c c))) (/ d (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/ d b))
3.0ms	b	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* b (/ d (* c c))) (/ d (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/ d b))
3.0ms	d	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* b (/ d (* c c))) (/ d (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/ d b))
2.0ms	b	@	0	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* b (/ d (* c c))) (/ d (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/ d b))

simplify166.0ms (2.4%)

Memory

19.5MiB live, 208.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	743	10655
1	2501	10376
0	8383	9720

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 726

Calls

Call 1

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

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

rewrite207.0ms (3%)

Memory

17.7MiB live, 240.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	282
0	61	282
1	263	280
2	1880	280
0	8378	262

Stop Event

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

Counts

19 → 303

Calls

Call 1

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

Outputs
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eval275.0ms (4%)

Memory: -22.1MiB live, 234.0MiB allocated
Compiler: Compiled 37 609 to 1 997 computations (94.7% saved)

prune41.0ms (0.6%)

Memory

3.3MiB live, 78.4MiB allocated

Pruning

21 alts after pruning (9 fresh and 12 done)

	Pruned	Kept	Total
New	1 025	4	1 029
Fresh	2	5	7
Picked	0	5	5
Done	0	7	7
Total	1 027	21	1 048

Accuracy

100.0%

Counts

1 048 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 d b (.f64 c a))) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	26.6%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	19.6%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	18.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	26.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	41.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 d b)))
	43.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
✓	55.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
✓	51.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	52.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 d a)) c b) d))
✓	21.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 b d) c)) c))
	18.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
✓	41.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	43.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	38.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
✓	41.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
✓	21.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d))
✓	23.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c))))
	20.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 b (/.f64 (/.f64 d c) c))))
✓	19.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c)))))
	17.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a)))

Compiler

Compiled 1 530 to 514 computations (66.4% saved)

regimes55.0ms (0.8%)

Memory

-23.7MiB live, 62.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

5 calls:

12.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
11.0ms	a
10.0ms	b
10.0ms	d
10.0ms	c

Results

Accuracy	Segments	Branch
67.2%	4	`a`
67.4%	5	`b`
83.4%	3	`c`
83.9%	4	`d`
74.7%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes15.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	c
7.0ms	d

Results

Accuracy	Segments	Branch
72.2%	3	`d`
75.7%	3	`c`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes41.0ms (0.6%)

Memory

-22.1MiB live, 16.2MiB allocated

Counts

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

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

Calls

3 calls:

26.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	d
7.0ms	c

Results

Accuracy	Segments	Branch
70.4%	5	`d`
54.1%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
67.1%	3	`c`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes8.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

21 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
68.7%	4	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes11.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB 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))) #s(approx (/ (+ (* (/ a d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 b (/.f64 d (.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (/.f64 (.f64 d b) (.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) 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 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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 b (/.f64 (/.f64 d c) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))

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

Calls

2 calls:

5.0ms	c
5.0ms	d

Results

Accuracy	Segments	Branch
67.1%	3	`c`
67.0%	3	`d`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes7.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
43.5%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
43.5%	1	`b`
43.5%	1	`a`
43.5%	1	`d`
43.5%	1	`c`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch28.0ms (0.4%)

Memory

-8.6MiB live, 30.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.686117716921951e-45	1.9145274828966414e-44
17.0ms	-2.9591379213168305e-13	-1.7209216449570728e-20

Samples

17.0ms

224×

valid

Compiler

Compiled 690 to 466 computations (32.5% saved)

Precisions

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

ival-mult: 6.0ms (56.6% of total)

ival-div: 2.0ms (18.9% of total)

ival-add: 2.0ms (18.9% of total)

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

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

bsearch39.0ms (0.6%)

Memory

7.3MiB live, 46.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.091402517213769e-6	1707.0226810562658
15.0ms	-7.075940827405874e+84	-1.6520841417750077e+77

Samples

25.0ms

288×

valid

Compiler

Compiled 792 to 558 computations (29.5% saved)

Precisions

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

ival-mult: 12.0ms (71.3% of total)

ival-div: 2.0ms (11.9% of total)

ival-add: 2.0ms (11.9% of total)

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

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

bsearch84.0ms (1.2%)

Memory

-22.9MiB live, 51.1MiB 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	3968370306972.7915	2.158813877895834e+23
8.0ms	-2.1676860179166523e-42	-5.821655824050528e-43
2.0ms	-2.979784116380498e+28	-2.794599403627925e+28
21.0ms	-3.085977123255208e+104	-1.535570186455808e+90

Samples

32.0ms

416×

valid

Compiler

Compiled 1 048 to 764 computations (27.1% saved)

Precisions

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

ival-mult: 11.0ms (52.4% of total)

ival-div: 6.0ms (28.6% of total)

ival-add: 3.0ms (14.3% of total)

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

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

bsearch57.0ms (0.8%)

Memory

8.5MiB live, 44.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3968370306972.7915	2.158813877895834e+23
43.0ms	-5.821655824050528e-43	-9.981825588464108e-54
10.0ms	-3.0444996235912715e+112	-2.934965437942273e+111

Samples

18.0ms

256×

valid

Compiler

Compiled 1 118 to 794 computations (29% saved)

Precisions

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

ival-mult: 7.0ms (62.9% of total)

ival-div: 2.0ms (18% of total)

ival-add: 2.0ms (18% of total)

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

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

bsearch29.0ms (0.4%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.091402517213769e-6	1707.0226810562658
12.0ms	-1.2794363163173337e+33	-5.201629918655646e+31

Samples

16.0ms

240×

valid

Compiler

Compiled 626 to 466 computations (25.6% saved)

Precisions

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

ival-mult: 6.0ms (59.6% of total)

ival-add: 2.0ms (19.9% of total)

ival-div: 1.0ms (9.9% of total)

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

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

simplify44.0ms (0.6%)

Memory

-2.7MiB live, 43.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	447
1	72	447

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 c #s(literal -3929716860707511/2535301200456458802993406410752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 1908238927557551/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -17999999999999999741509046476113143031937363003440064840426017440255378469158912 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 125 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (<=.f64 d #s(literal -1749999999999999913077644215607675813861315650198523376974688195281161242069714433019478016 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -29000000000000001209972817920 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal -4268429180062943/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 d b (.f64 c a))) #s(approx (+ ( c c) (* d d)) (.f64 d d))) (if (<=.f64 d #s(literal 750000000000000000000 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -7499999999999999475899510194728297963504998626042326369461922646235422374623185427821472690170690850682921025536 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -2911674240052269/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)) (if (<=.f64 d #s(literal 750000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 c #s(literal -549999999999999984477895850459136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 8669969714643489/18446744073709551616 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 c #s(literal -3929716860707511/2535301200456458802993406410752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 1908238927557551/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -17999999999999999741509046476113143031937363003440064840426017440255378469158912 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 125 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (<=.f64 d #s(literal -1749999999999999913077644215607675813861315650198523376974688195281161242069714433019478016 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -29000000000000001209972817920 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal -4268429180062943/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 d b (.f64 a c))) #s(approx (+ ( c c) (* d d)) (.f64 d d))) (if (<=.f64 d #s(literal 750000000000000000000 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -7499999999999999475899510194728297963504998626042326369461922646235422374623185427821472690170690850682921025536 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -2911674240052269/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)) (if (<=.f64 d #s(literal 750000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 c #s(literal -549999999999999984477895850459136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 8669969714643489/18446744073709551616 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))

soundness644.0ms (9.3%)

Memory

6.0MiB live, 475.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	8930
1	1153	8691
2	3662	8375
0	8127	7834
0	787	12036
1	2648	11583
0	8291	10918
0	186	1428
1	618	1418
2	1890	1394
3	5760	1392
0	8187	1262

Stop Event

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

Compiler

Compiled 549 to 171 computations (68.9% saved)

preprocess57.0ms (0.8%)

Memory: 6.6MiB live, 118.9MiB allocated
Compiler: Compiled 996 to 202 computations (79.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze28.0ms (0.4%)

sample859.0ms (12.4%)

explain379.0ms (5.5%)

preprocess334.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize29.0ms (0.4%)

series19.0ms (0.3%)

simplify346.0ms (5%)

rewrite171.0ms (2.5%)

eval71.0ms (1%)

prune19.0ms (0.3%)

simplify265.0ms (3.8%)

localize112.0ms (1.6%)

series113.0ms (1.6%)

simplify185.0ms (2.7%)

rewrite174.0ms (2.5%)

eval284.0ms (4.1%)

prune62.0ms (0.9%)

simplify200.0ms (2.9%)

localize103.0ms (1.5%)

series64.0ms (0.9%)

simplify193.0ms (2.8%)

rewrite195.0ms (2.8%)

eval301.0ms (4.4%)

prune47.0ms (0.7%)

simplify321.0ms (4.6%)

localize91.0ms (1.3%)

series125.0ms (1.8%)

simplify166.0ms (2.4%)

rewrite207.0ms (3%)

eval275.0ms (4%)

prune41.0ms (0.6%)

regimes55.0ms (0.8%)

regimes15.0ms (0.2%)

regimes41.0ms (0.6%)

regimes8.0ms (0.1%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch28.0ms (0.4%)

bsearch39.0ms (0.6%)

bsearch84.0ms (1.2%)

bsearch57.0ms (0.8%)

bsearch29.0ms (0.4%)

simplify44.0ms (0.6%)

soundness644.0ms (9.3%)

preprocess57.0ms (0.8%)

end0.0ms (0%)

Profiling