Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze573.0ms (3.6%)

Memory

8.1MiB live, 831.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	7
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	8
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	9
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	10
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	11
18.8%	18.7%	81%	0.3%	0%	0%	0%	12

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.8s (17.6%)

Memory

-144.6MiB live, 2 586.7MiB allocated

Samples

1.7s	8 256×	0	valid
356.0ms	2 642×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 436.0ms (29.9% of total)

ival-pow2: 406.0ms (27.8% of total)

ival-div: 390.0ms (26.7% of total)

ival-sub: 128.0ms (8.8% of total)

ival-sqrt: 77.0ms (5.3% of total)

exact: 10.0ms (0.7% of total)

ival-true: 8.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

preprocess241.0ms (1.5%)

Memory

-4.6MiB live, 335.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 232×	`lower-*.f32`
5 224×	`lower-*.f64`
5 184×	`lower-/.f32`
5 180×	`lower-/.f64`
1 444×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	501
1	520	492
2	1570	492
3	4468	492
0	17	18
0	26	18
1	47	18
2	115	18
3	826	18
4	4554	18
5	7862	18
0	8022	18

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Outputs

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

explain242.0ms (1.5%)

Memory

-28.7MiB live, 541.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
56	-	3	(3.268831063054466e+149 12463956568940288.0 4.02798839362856e+129 -8.28997106546095e+277 2.31607652772409e+137 6.2361050271856434e+302)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
25	-	0	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
21	-	0	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
5	-	0	-	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`w0`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`M`
0	-	0	-	`h`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	oflow-rescue	25	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	45
↳	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`	overflow	47
↳	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	overflow	22
↳	`(*.f64 M D)`	overflow	15
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	17
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	47
↳	`(/.f64 h l)`	overflow	33
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	8	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	6	0
↳	`(*.f64 M D)`	overflow	15
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	5	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	45
↳	`(*.f64 M D)`	overflow	15
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	17
↳	`(/.f64 h l)`	underflow	28
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	107
↳	`(*.f64 M D)`	underflow	46
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	57
↳	`(/.f64 h l)`	overflow	33

Confusion

	Predicted +	Predicted -
+	36	18
-	10	192

Precision

0.782608695652174

Recall

0.6666666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	18
-	10	0	192

Precision?

0.782608695652174

Recall?

0.6666666666666666

Freqs

test

number	freq
0	210
1	42
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms

512×

valid

Compiler

Compiled 242 to 72 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 12.0ms (29.1% of total)

ival-sqrt: 11.0ms (26.7% of total)

ival-div: 8.0ms (19.4% of total)

ival-pow2: 5.0ms (12.1% of total)

ival-sub: 3.0ms (7.3% of total)

ival-true: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify161.0ms (1%)

Memory

18.0MiB live, 325.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Rules

5 232×	`lower-*.f32`
5 224×	`lower-*.f64`
5 184×	`lower-/.f32`
5 180×	`lower-/.f64`
1 444×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	47	95
2	115	95
3	826	95
4	4554	95
5	7862	95
0	8022	95

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal 4 binary64))) h) l)
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

localize56.0ms (0.3%)

Memory

18.7MiB live, 134.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	accuracy	92.3%	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	accuracy	90.9%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
✓	accuracy	80.0%	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

30.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (38.1% of total)

ival-div: 4.0ms (25.4% of total)

ival-pow2: 3.0ms (19.1% of total)

ival-sqrt: 2.0ms (12.7% of total)

ival-sub: 1.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series73.0ms (0.5%)

Memory

-6.8MiB live, 162.1MiB allocated

Counts

6 → 324

Calls

Call 1

Inputs
#<alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))>
#<alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))>
#<alt (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))>
#<alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))>

Outputs
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))>
#<alt (+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))>
#<alt (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))>
#<alt (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))>
#<alt (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))>
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#<alt (/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)>
#<alt (/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)>
#<alt (/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))>
#<alt (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))>
#<alt (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>

Calls

81 calls:

Time	Variable		Expression
12.0ms	d	@	(sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))
4.0ms	l	@	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
4.0ms	d	@	(pow (/ (* M D) (* 2 d)) 2)
3.0ms	w0	@	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
2.0ms	M	@	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))

simplify276.0ms (1.7%)

Memory

2.2MiB live, 546.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 592×	`lower-*.f64`
10 592×	`lower-*.f32`
8 912×	`lower-fma.f64`
8 912×	`lower-fma.f32`
2 750×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	628	8158
1	2189	8136
0	8486	7930

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 317

Calls

Call 1

Inputs
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))

Outputs
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (.f64 M M) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 M M) (.f64 w0 (.f64 h (.f64 h (pow.f64 D #s(literal 4 binary64)))))) (.f64 l (.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 D D) h))) (.f64 (.f64 d d) l))) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (.f64 M M) (fma.f64 (.f64 M M) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 w0 (.f64 h (.f64 h (pow.f64 D #s(literal 4 binary64))))) (.f64 l (.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal -1/1024 binary64) (.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 M M)) (.f64 w0 (.f64 h (.f64 h h))))) (.f64 (.f64 l l) (.f64 l (pow.f64 d #s(literal 6 binary64)))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) l))) w0)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (.f64 (.f64 D M) (/.f64 (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(.f64 M (fma.f64 D (.f64 (/.f64 (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (.f64 (/.f64 (.f64 d w0) (.f64 (.f64 M M) (.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 l h)) #s(literal 1/2 binary64)))))
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w0
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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w0
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1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)

rewrite352.0ms (2.2%)

Memory

-10.7MiB live, 401.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 804×	`lower-*.f32`
5 796×	`lower-*.f64`
4 036×	`lower-fma.f64`
4 036×	`lower-fma.f32`
3 008×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78

Stop Event

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

Counts

6 → 689

Calls

Call 1

Inputs
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Outputs
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)))))
(exp.f64 (log.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 M D) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))
(/.f64 (.f64 M D) (neg.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 D (neg.f64 M)))))
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M (.f64 D (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 d d)) (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (.f64 (*.f64 D (neg.f64 M)) D) M)))
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(.f64 (.f64 #s(literal 1 binary64) D) (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))))

eval190.0ms (1.2%)

Memory: -8.7MiB live, 274.2MiB allocated
Compiler: Compiled 31 317 to 4 375 computations (86% saved)

prune270.0ms (1.7%)

Memory

23.9MiB live, 344.1MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	990	16	1 006
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	991	16	1 007

Accuracy

92.2%

Counts

1 007 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.5%	(.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))))))
	70.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
▶	91.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
	77.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
▶	88.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
	81.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
▶	74.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
	76.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
	66.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
	66.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h))))))
▶	71.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
	11.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
	45.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D D) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 D D)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)))))))
	52.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
▶	71.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	53.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))

Compiler

Compiled 890 to 574 computations (35.5% saved)

simplify223.0ms (1.4%)

Memory

14.3MiB live, 128.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
✓	cost-diff	512	(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
✓	cost-diff	576	(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
✓	cost-diff	384	(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
✓	cost-diff	384	(.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
✓	cost-diff	0	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
✓	cost-diff	384	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
✓	cost-diff	576	(fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
✓	cost-diff	1088	(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))

Rules

7 756×	`lower-*.f32`
7 726×	`lower-*.f64`
2 294×	`lower-/.f32`
2 274×	`lower-/.f64`
1 612×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	507
0	96	521
1	211	499
2	797	453
3	6083	453
0	8173	450

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
(/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
l
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
(.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 M D)
M
D
(/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(.f64 (.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
d
#s(literal 4 binary64)
(/.f64 h l)
h
l
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 D d)
D
d
(.f64 (.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
(neg.f64 (/.f64 h l))
(/.f64 h l)
h
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(.f64 (.f64 M D) h)
h
(neg.f64 l)
l
#s(literal 1 binary64)

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (.f64 l (.f64 (.f64 d d) #s(literal 4 binary64)))))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (.f64 l (.f64 (*.f64 d d) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (.f64 l (.f64 (*.f64 d d) #s(literal 4 binary64)))))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
(/.f64 (.f64 M D) (.f64 d (*.f64 #s(literal -2 binary64) l)))
(/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
l
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M (.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (.f64 l (.f64 (.f64 d d) #s(literal 4 binary64)))))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (.f64 l (.f64 (*.f64 d d) #s(literal 4 binary64))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (.f64 l (.f64 (*.f64 d d) #s(literal 4 binary64)))))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
(/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (.f64 l (.f64 (*.f64 d d) #s(literal 4 binary64))))
(.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 M D)
M
D
(/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(.f64 D (/.f64 M (.f64 (*.f64 d d) #s(literal 4 binary64))))
(.f64 (.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
d
#s(literal 4 binary64)
(/.f64 h l)
h
l
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 M (.f64 M #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (/.f64 (.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 M #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (/.f64 (.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 (.f64 D (.f64 M (*.f64 M #s(literal 1/4 binary64)))) d)
(/.f64 D d)
D
d
(.f64 (.f64 M M) #s(literal 1/4 binary64))
(.f64 M (.f64 M #s(literal 1/4 binary64)))
(*.f64 M M)
M
#s(literal 1/4 binary64)
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
(/.f64 (.f64 D h) (.f64 d (neg.f64 l)))
(neg.f64 (/.f64 h l))
(/.f64 h (neg.f64 l))
(/.f64 h l)
h
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (.f64 l (.f64 (.f64 d d) #s(literal 4 binary64)))))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (.f64 l (.f64 (*.f64 d d) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (.f64 l (.f64 (*.f64 d d) #s(literal 4 binary64)))))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
d
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(/.f64 (.f64 M (.f64 D h)) (.f64 d (.f64 #s(literal -2 binary64) l)))
(/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M (.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(.f64 (.f64 M D) h)
(.f64 M (.f64 D h))
h
(neg.f64 l)
l
#s(literal 1 binary64)

localize287.0ms (1.8%)

Memory

2.9MiB live, 156.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	92.3%	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	accuracy	90.9%	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
✓	accuracy	90.7%	(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
✓	accuracy	88.9%	(.f64 (.f64 M D) h)
✓	accuracy	92.5%	(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
✓	accuracy	90.9%	(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
✓	accuracy	85.8%	(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
✓	accuracy	84.6%	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
✓	accuracy	92.6%	(.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64))))
✓	accuracy	90.9%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
✓	accuracy	82.0%	(/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))
✓	accuracy	80.0%	(.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
✓	accuracy	98.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
✓	accuracy	71.0%	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
✓	accuracy	92.3%	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	accuracy	91.4%	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
✓	accuracy	90.9%	(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
✓	accuracy	90.6%	(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))

Samples

167.0ms

256×

valid

Compiler

Compiled 514 to 57 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 50.0ms (57.5% of total)

ival-div: 17.0ms (19.6% of total)

ival-sqrt: 8.0ms (9.2% of total)

ival-add: 4.0ms (4.6% of total)

ival-pow2: 3.0ms (3.5% of total)

ival-sub: 2.0ms (2.3% of total)

ival-neg: 2.0ms (2.3% of total)

exact: 1.0ms (1.2% of total)

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

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

series189.0ms (1.2%)

Memory

-10.4MiB live, 114.8MiB allocated

Counts

24 → 1 344

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))>
#<alt (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))>
#<alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)>
#<alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))>
#<alt (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))>
#<alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))>
#<alt (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))>
#<alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))>
#<alt (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))>
#<alt (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))>
#<alt (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))>
#<alt (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))>
#<alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))>
#<alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))>
#<alt (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))>
#<alt (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64))))>
#<alt (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))>
#<alt (.f64 (.f64 M D) h)>

Outputs
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt (* 1/2 (/ (* D (* M h)) d))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))>
#<alt (/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))>
#<alt (/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))>
#<alt (* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))>
#<alt (* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* -1/2 (/ (* D M) (* d l)))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))>
#<alt (+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))>
#<alt (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))>
#<alt (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))>
#<alt (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))>
#<alt (* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))>
#<alt (* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))>
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#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
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#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))>
#<alt (+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
#<alt (* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))>
#<alt (* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))>
#<alt (* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))>
#<alt (* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))>
#<alt (* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))>
#<alt (* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))>
#<alt (* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* D M) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* 1/4 (/ (* D (pow M 2)) d))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>
#<alt (* D (* M h))>

Calls

336 calls:

Time	Variable		Point	Expression
38.0ms	D	@	0	(/ (/ (* M D) (* 2 d)) (/ 1 h))
29.0ms	h	@	inf	(* w0 (sqrt (+ (* (/ (* M D) (* 2 d)) (/ (/ (* (* M D) h) (* 2 d)) (neg l))) 1)))
7.0ms	d	@	inf	(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms	M	@	0	(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms	w0	@	0	(* w0 (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1)))

simplify592.0ms (3.7%)

Memory

-15.6MiB live, 583.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 482×	`lower-*.f64`
10 482×	`lower-*.f32`
8 468×	`lower-fma.f64`
8 468×	`lower-fma.f32`
2 730×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	662	35475
1	2294	35245
0	8222	34197

Stop Event

1×	iter limit
1×	node limit

Counts

1 344 → 1 309

Calls

Call 1

Inputs
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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w0
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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w0
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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w0
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
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1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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1
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1
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1
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1
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1
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1
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1
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1
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w0
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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w0
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w0
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
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1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
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(* 1/2 (/ (* D M) d))
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(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
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(* 1/4 (/ (* D M) (pow d 2)))
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(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))

Outputs
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D (*.f64 M h)) d))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) h) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) h) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) h) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) h) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) h) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) h) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1/4 binary64))) (.f64 d d)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1/4 binary64))) (.f64 d d)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h (.f64 M M)) l) #s(literal 1/4 binary64))) (.f64 d d)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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w0
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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w0
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(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0)
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 D (.f64 M (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(neg.f64 (.f64 (/.f64 (.f64 D (.f64 M (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
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(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0)
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w0
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w0
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1
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 D (.f64 M (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
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w0
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(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0)
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 D (.f64 M (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(neg.f64 (.f64 (/.f64 (.f64 D (.f64 M (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
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(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0)
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w0
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w0
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1
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(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(.f64 D (.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))

rewrite383.0ms (2.4%)

Memory

9.8MiB live, 323.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 254×	`lower-*.f32`
4 224×	`lower-*.f64`
3 674×	`lower-/.f32`
3 654×	`lower-/.f64`
2 760×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	397
0	96	388
1	345	333
2	3409	333
0	8806	319

Stop Event

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

Counts

24 → 879

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64))))
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(.f64 (.f64 M D) h)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 (.f64 M D) h))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d)) (*.f64 (log.f64 h) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) h)) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) h)) (/.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal -1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)))) (/.f64 (.f64 M D) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) h) (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(neg.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal -2 binary64))))
(neg.f64 (/.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 M D) (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 (*.f64 M D) h)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 (*.f64 M D) h)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 (*.f64 M D) h) #s(literal 1/2 binary64))))
(/.f64 h (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D)))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) d) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 (*.f64 M D) h))))
(/.f64 (neg.f64 (.f64 M D)) (neg.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(/.f64 (neg.f64 (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 M D) h)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) h) d))
(/.f64 (.f64 (.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) d)
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (.f64 (neg.f64 (.f64 M D)) #s(literal 1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 d (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 (.f64 M D) h) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 M D) h))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 M D) h) #s(literal 1/2 binary64))) (neg.f64 d))
(/.f64 (.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d)
(/.f64 (.f64 (.f64 M D) (/.f64 h d)) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) h)) (.f64 #s(literal 2 binary64) d))
(/.f64 (/.f64 (.f64 (.f64 M D) h) d) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 (.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) d) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 (*.f64 M D) h)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)) (.f64 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 (*.f64 M D) h)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 d (.f64 (.f64 (*.f64 M D) h) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 M (/.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 M (/.f64 (.f64 D h) (*.f64 #s(literal 2 binary64) d)))
(.f64 M (.f64 D (/.f64 h (*.f64 #s(literal 2 binary64) d))))
(.f64 M (.f64 (*.f64 D h) (/.f64 #s(literal 1/2 binary64) d)))
(.f64 M (.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) h))
(.f64 M (/.f64 D (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(.f64 D (.f64 M (/.f64 h (*.f64 #s(literal 2 binary64) d))))
(.f64 D (/.f64 M (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(.f64 (.f64 M D) (/.f64 h (*.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M D) h) #s(literal 1/2 binary64)) d))
(.f64 h (/.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) d))
(.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))) (neg.f64 h))
(.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(.f64 (.f64 (*.f64 M D) h) (/.f64 #s(literal 1/2 binary64) d))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 d (.f64 (*.f64 M D) h)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (*.f64 M D) h)) (/.f64 #s(literal -1/2 binary64) d))
(.f64 (/.f64 M d) (/.f64 (.f64 D h) #s(literal 2 binary64)))
(.f64 (/.f64 M d) (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 D h)) #s(literal -1 binary64)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D h) d))
(.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(.f64 (.f64 M #s(literal 1/2 binary64)) (pow.f64 (/.f64 d (*.f64 D h)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 h d))
(.f64 (/.f64 h d) (.f64 (*.f64 M D) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (.f64 (.f64 M D) h) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 (*.f64 M D) h))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 M D) h)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 M D) d) (/.f64 h #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 M D) d) (pow.f64 (/.f64 #s(literal 2 binary64) h) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (.f64 M D) h) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) d))
(.f64 (/.f64 h (.f64 #s(literal 2 binary64) d)) (*.f64 M D))
(.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 h #s(literal 2 binary64)) (/.f64 (.f64 M D) d))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) h) #s(literal -1 binary64)) (/.f64 (.f64 M D) d))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (neg.f64 (.f64 M D))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) d))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 (*.f64 M D) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d)) (/.f64 h l)))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d)) (/.f64 h l)) #s(literal 1 binary64))
(+.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d)) (/.f64 h l)))
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(.f64 (exp.f64 (log.f64 (.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (.f64 M D))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal -4 binary64))))
(neg.f64 (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal -4 binary64))))
(neg.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 d (*.f64 d #s(literal 4 binary64)))))
(/.f64 (.f64 M D) (.f64 d (*.f64 d #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (*.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 (.f64 M D) (.f64 d d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (*.f64 M D))))
(/.f64 (neg.f64 (.f64 M D)) (.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (/.f64 (.f64 M D) d) (.f64 d #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 M D) (.f64 d d)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (.f64 d (.f64 d #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 M D))) (neg.f64 (.f64 (*.f64 d d) #s(literal -4 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 M D) (.f64 d d))) #s(literal -4 binary64))
(/.f64 (/.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 d d))
(/.f64 (.f64 (/.f64 M (.f64 d d)) D) #s(literal 4 binary64))
(/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (*.f64 d d))
(pow.f64 (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (*.f64 M D)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (/.f64 (.f64 M D) (.f64 d d))) #s(literal -1 binary64))
(.f64 M (/.f64 D (.f64 d (*.f64 d #s(literal 4 binary64)))))
(.f64 D (.f64 M (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))
(.f64 D (/.f64 M (.f64 d (*.f64 d #s(literal 4 binary64)))))
(.f64 (.f64 M D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(.f64 #s(literal 1 binary64) (.f64 M (/.f64 D (.f64 d (.f64 d #s(literal 4 binary64))))))
(.f64 (/.f64 D d) (/.f64 M (.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 D d) (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) M) #s(literal -1 binary64)))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) (*.f64 d d)))
(.f64 (neg.f64 (.f64 M D)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal -4 binary64))))
(.f64 (/.f64 M d) (/.f64 D (.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 M d) (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) D) #s(literal -1 binary64)))
(.f64 (/.f64 M (.f64 d d)) (*.f64 D #s(literal 1/4 binary64)))
(.f64 (.f64 D #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d)))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (*.f64 M D))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M D)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) (*.f64 M D)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))
(.f64 (/.f64 D (.f64 d (*.f64 d #s(literal 4 binary64)))) M)
(.f64 (/.f64 M #s(literal 4 binary64)) (/.f64 D (.f64 d d)))
(.f64 (/.f64 D (.f64 d d)) (/.f64 M #s(literal 4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 M D)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) D) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) D) #s(literal -1 binary64)))
(/.f64 (.f64 M D) (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (.f64 M (.f64 D (*.f64 M D)))))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (*.f64 d #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (*.f64 M D)))
(/.f64 (.f64 (.f64 M D) (neg.f64 (.f64 M D))) (.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 M D)) (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (*.f64 M D)))
(/.f64 (.f64 (neg.f64 (.f64 M D)) (.f64 M D)) (.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (neg.f64 (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d d))) #s(literal 4 binary64))
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d d)) (.f64 M D)) #s(literal 4 binary64))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (.f64 d #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d d)) #s(literal 4 binary64))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 4 binary64)) (.f64 d d))
(pow.f64 (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (.f64 M (.f64 D (*.f64 M D)))) #s(literal -1 binary64))
(.f64 M (/.f64 (.f64 D (.f64 M D)) (.f64 d (*.f64 d #s(literal 4 binary64)))))
(.f64 M (.f64 (/.f64 D (.f64 d (.f64 d #s(literal 4 binary64)))) (*.f64 M D)))
(.f64 D (.f64 M (.f64 M (/.f64 D (.f64 d (*.f64 d #s(literal 4 binary64)))))))
(.f64 (.f64 M D) (.f64 M (/.f64 D (.f64 d (*.f64 d #s(literal 4 binary64))))))
(.f64 (.f64 M (/.f64 D (.f64 d (.f64 d #s(literal 4 binary64))))) (*.f64 M D))
(.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 D #s(literal 1/4 binary64)) (*.f64 M D)))
(.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 d (*.f64 d #s(literal 4 binary64)))) M)
(.f64 (.f64 M (.f64 D (.f64 M D))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 M D) (.f64 d d)) (/.f64 (.f64 M D) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 M D) #s(literal 4 binary64)) (/.f64 (.f64 M D) (.f64 d d)))
(.f64 (.f64 (.f64 M D) M) (/.f64 D (.f64 d (*.f64 d #s(literal 4 binary64)))))
(.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d d))) (*.f64 D #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 M (/.f64 D (.f64 d (*.f64 d #s(literal 4 binary64))))) M) D)
(/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 M D) (*.f64 M #s(literal 1/4 binary64)))))
(/.f64 (.f64 M (.f64 M #s(literal 1/4 binary64))) (/.f64 d D))
(/.f64 (.f64 (.f64 M D) (*.f64 M #s(literal 1/4 binary64))) d)
(/.f64 (neg.f64 (.f64 (.f64 M D) (*.f64 M #s(literal 1/4 binary64)))) (neg.f64 d))
(/.f64 (.f64 (.f64 M (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (.f64 (.f64 M (*.f64 M #s(literal 1/4 binary64))) (neg.f64 D)) (neg.f64 d))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 M (*.f64 M #s(literal 1/4 binary64)))) (/.f64 d D))
(/.f64 (.f64 (neg.f64 D) (.f64 M (*.f64 M #s(literal 1/4 binary64)))) (neg.f64 d))
(pow.f64 (/.f64 d (.f64 (.f64 M D) (*.f64 M #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(.f64 M (.f64 (*.f64 M #s(literal 1/4 binary64)) (/.f64 D d)))
(.f64 D (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 M (.f64 M #s(literal 1/4 binary64)))))
(.f64 D (/.f64 (.f64 M (*.f64 M #s(literal 1/4 binary64))) d))
(.f64 (/.f64 D d) (.f64 M (*.f64 M #s(literal 1/4 binary64))))
(.f64 (.f64 M M) (*.f64 #s(literal 1/4 binary64) (/.f64 D d)))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (*.f64 M M)) d))
(.f64 (.f64 M (*.f64 M #s(literal 1/4 binary64))) (/.f64 D d))
(.f64 (/.f64 (.f64 D (*.f64 M M)) d) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) d))
(.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64)))
(.f64 (.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M))
(.f64 M (.f64 D h))
(.f64 D (.f64 M h))
(.f64 (.f64 M D) h)
(.f64 h (.f64 M D))
(.f64 (.f64 D h) M)
(.f64 (.f64 h M) D)

eval346.0ms (2.2%)

Memory: 20.0MiB live, 512.9MiB allocated
Compiler: Compiled 77 715 to 4 041 computations (94.8% saved)

prune258.0ms (1.6%)

Memory

-11.7MiB live, 605.4MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	2 305	12	2 317
Fresh	10	1	11
Picked	4	1	5
Done	0	0	0
Total	2 319	14	2 333

Accuracy

92.2%

Counts

2 333 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.7%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
	64.2%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) w0)
	88.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (.f64 (.f64 (.f64 M D) h) #s(literal 1/2 binary64)) d) #s(literal 1 binary64))))
▶	88.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
	62.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
▶	77.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
	75.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (.f64 (neg.f64 h) D) (.f64 l d)) #s(literal 1 binary64))))
	76.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
	74.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (.f64 D (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))))
▶	71.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
	12.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
	54.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
✓	71.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))

Compiler

Compiled 736 to 484 computations (34.2% saved)

simplify166.0ms (1%)

Memory

25.3MiB live, 302.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 D h) (.f64 d (neg.f64 l)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
✓	cost-diff	384	(fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
✓	cost-diff	320	(.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (.f64 d l)))
✓	cost-diff	0	(*.f64 D D)
✓	cost-diff	0	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0)
✓	cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
✓	cost-diff	0	(/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d)
✓	cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
✓	cost-diff	384	(fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))

Rules

6 796×	`lower-*.f32`
6 738×	`lower-*.f64`
4 406×	`lower-/.f32`
4 392×	`lower-/.f64`
1 582×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	646
0	129	641
1	292	633
2	1193	624
3	5062	624
4	7034	624
0	8302	618

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d)
(.f64 (.f64 M D) #s(literal 1/2 binary64))
(*.f64 M D)
M
D
#s(literal 1/2 binary64)
d
(.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))))
h
(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))
(.f64 l (.f64 d #s(literal -2 binary64)))
l
(*.f64 d #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0)
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (.f64 d l)))
(.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0))))
#s(literal -1/8 binary64)
(.f64 h (.f64 M (*.f64 M w0)))
h
(.f64 M (.f64 M w0))
M
(*.f64 M w0)
w0
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))
(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (*.f64 d l)))
(.f64 D (.f64 D (*.f64 M M)))
D
(.f64 D (.f64 M M))
(*.f64 M M)
M
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
#s(literal 1 binary64)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)))
(.f64 M (.f64 D (*.f64 M D)))
M
(.f64 D (.f64 M D))
D
(*.f64 M D)
(.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))
(.f64 l (.f64 d #s(literal -2 binary64)))
l
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
h
#s(literal 1 binary64)
w0
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 D h) (.f64 d (neg.f64 l)))
(*.f64 D h)
D
h
(*.f64 d (neg.f64 l))
d
(neg.f64 l)
l
(.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64)))
(*.f64 (/.f64 D d) M)
(/.f64 D d)
M
(*.f64 M #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 1 binary64)

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (/.f64 (.f64 M (.f64 D h)) (.f64 d (.f64 #s(literal -2 binary64) (.f64 d l)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (/.f64 (.f64 M (.f64 D h)) (.f64 d (.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (/.f64 (.f64 M (.f64 D h)) (.f64 d (.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d)
(.f64 (.f64 M D) #s(literal 1/2 binary64))
(*.f64 M D)
M
D
#s(literal 1/2 binary64)
d
(.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))))
(/.f64 (.f64 M (.f64 D h)) (.f64 #s(literal -2 binary64) (.f64 d l)))
h
(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 M D) (.f64 #s(literal -2 binary64) (*.f64 d l)))
(.f64 l (.f64 d #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 d l))
l
(*.f64 d #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h (.f64 w0 (.f64 M M))) (/.f64 #s(literal -1/8 binary64) (.f64 d (*.f64 d l)))) w0))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0)
(fma.f64 (.f64 D D) (.f64 (.f64 h (.f64 w0 (.f64 M M))) (/.f64 #s(literal -1/8 binary64) (.f64 d (*.f64 d l)))) w0)
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (.f64 d l)))
(.f64 (.f64 h (.f64 w0 (.f64 M M))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l))))
(.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0))))
(.f64 h (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 M M))))
#s(literal -1/8 binary64)
(.f64 h (.f64 M (*.f64 M w0)))
(.f64 h (.f64 w0 (*.f64 M M)))
h
(.f64 M (.f64 M w0))
(.f64 w0 (.f64 M M))
M
(*.f64 M w0)
(*.f64 w0 M)
w0
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (.f64 (.f64 M D) (.f64 M (.f64 D h))) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (.f64 (.f64 M D) (.f64 M (.f64 D h))) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (.f64 (.f64 M D) (.f64 M (.f64 D h))) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 M D) (.f64 M (.f64 D h))) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (*.f64 d l)))
(/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (*.f64 d l)))
(.f64 D (.f64 D (*.f64 M M)))
(.f64 D (.f64 M (*.f64 M D)))
D
(.f64 D (.f64 M M))
(.f64 M (.f64 M D))
(*.f64 M M)
M
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
(*.f64 #s(literal -1/4 binary64) h)
(*.f64 h #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
h
#s(literal 1 binary64)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))
(fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))
(.f64 M (.f64 D (*.f64 M D)))
(.f64 D (.f64 M (*.f64 M D)))
M
(.f64 D (.f64 M D))
(.f64 M (.f64 D D))
D
(*.f64 M D)
(.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))
(.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))
(.f64 l (.f64 d #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 d l))
l
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
h
#s(literal 1 binary64)
w0
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D h) (/.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) (neg.f64 (.f64 d (*.f64 d l)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 D h) (/.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) (neg.f64 (.f64 d (.f64 d l)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 D h) (/.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) (neg.f64 (.f64 d (.f64 d l)))) #s(literal 1 binary64))
(/.f64 (.f64 D h) (.f64 d (neg.f64 l)))
(neg.f64 (.f64 (/.f64 D (.f64 d l)) h))
(*.f64 D h)
D
h
(*.f64 d (neg.f64 l))
(neg.f64 (*.f64 d l))
d
(neg.f64 l)
l
(.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 M (*.f64 M D))) d)
(*.f64 (/.f64 D d) M)
(/.f64 (*.f64 M D) d)
(/.f64 D d)
M
(*.f64 M #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 1 binary64)

localize241.0ms (1.5%)

Memory

-7.8MiB live, 584.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.5%	(*.f64 (/.f64 D d) M)
✓	accuracy	92.5%	(fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))
✓	accuracy	90.9%	(sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))
✓	accuracy	86.2%	(/.f64 (.f64 D h) (.f64 d (neg.f64 l)))
✓	accuracy	98.1%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
✓	accuracy	95.8%	(.f64 M (.f64 D (*.f64 M D)))
✓	accuracy	90.9%	(sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
✓	accuracy	77.7%	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)))
✓	accuracy	96.8%	(.f64 D (.f64 D (*.f64 M M)))
✓	accuracy	90.9%	(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
✓	accuracy	86.2%	(.f64 D (.f64 M M))
✓	accuracy	78.1%	(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (*.f64 d l)))
✓	accuracy	89.1%	(.f64 h (.f64 M (*.f64 M w0)))
✓	accuracy	82.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
✓	accuracy	81.4%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (.f64 d l)))
✓	accuracy	77.6%	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0)
✓	accuracy	92.3%	(/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d)
✓	accuracy	90.9%	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
✓	accuracy	88.2%	(.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))))
✓	accuracy	85.8%	(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))

Samples

139.0ms

256×

valid

Compiler

Compiled 581 to 80 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 63.0ms (62% of total)

ival-div: 17.0ms (16.7% of total)

ival-sqrt: 8.0ms (7.9% of total)

ival-add: 6.0ms (5.9% of total)

ival-pow2: 3.0ms (3% of total)

ival-sub: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series263.0ms (1.7%)

Memory

-14.6MiB live, 229.9MiB allocated

Counts

29 → 1 500

Calls

Call 1

Inputs
#<alt (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))>
#<alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))>
#<alt (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d)>
#<alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))>
#<alt (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0)>
#<alt (*.f64 D D)>
#<alt (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (.f64 d l)))>
#<alt (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))>
#<alt (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))>
#<alt #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))>
#<alt (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))>
#<alt (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))>
#<alt (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)>
#<alt (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))>
#<alt (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))>
#<alt (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))>
#<alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))>
#<alt (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))>
#<alt (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))>
#<alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))))>
#<alt (.f64 h (.f64 M (*.f64 M w0)))>
#<alt (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (*.f64 d l)))>
#<alt (.f64 D (.f64 M M))>
#<alt (.f64 D (.f64 D (*.f64 M M)))>
#<alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)))>
#<alt (.f64 M (.f64 D (*.f64 M D)))>
#<alt (*.f64 (/.f64 D d) M)>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
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#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>
#<alt (/ (* D M) d)>

Calls

375 calls:

Time	Variable		Point	Expression
13.0ms	M	@	0	(* (sqrt (+ (* (/ (* M (* D (* M D))) (* (* l (* d -2)) (* 2 d))) h) 1)) w0)
6.0ms	M	@	inf	(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0)
3.0ms	D	@	-inf	(* (sqrt (+ (* (/ (* M (* D (* M D))) (* (* l (* d -2)) (* 2 d))) h) 1)) w0)
1.0ms	h	@	0	(/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))
1.0ms	w0	@	0	(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0)

simplify439.0ms (2.8%)

Memory

7.1MiB live, 834.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 528×	`lower-*.f64`
8 528×	`lower-*.f32`
6 708×	`lower-fma.f64`
6 708×	`lower-fma.f32`
4 688×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	36052
1	2361	35860
0	8541	34783

Stop Event

1×	iter limit
1×	node limit

Counts

1 500 → 1 458

Calls

Call 1

Inputs
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
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(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
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1
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1
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1
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
1
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1
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(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
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1
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(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
1
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1
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1
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w0
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w0
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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w0
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
1
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 D D) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 D D) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 D D) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 D D) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D D) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) (.f64 h w0)) (.f64 (.f64 d d) l)) (/.f64 (.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (.f64 (.f64 M M) (.f64 w0 (.f64 h h)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l)))) w0)
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 d d) w0)) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (.f64 d d) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) w0) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (.f64 D (.f64 D D)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M (.f64 M M))))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) w0) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (neg.f64 d))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 d d) w0)) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (.f64 d d) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) w0) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (.f64 D (.f64 D D)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M (.f64 M M))))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) w0) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
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(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
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(.f64 (.f64 D D) (*.f64 M M))
(* (pow D 2) (pow M 2))
(.f64 (.f64 D D) (*.f64 M M))
(* (pow D 2) (pow M 2))
(.f64 (.f64 D D) (*.f64 M M))
(* (pow D 2) (pow M 2))
(.f64 (.f64 D D) (*.f64 M M))
(* (pow D 2) (pow M 2))
(.f64 (.f64 D D) (*.f64 M M))
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)

rewrite352.0ms (2.2%)

Memory

25.6MiB live, 592.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 142×	`lower-*.f32`
7 084×	`lower-*.f64`
4 124×	`lower-/.f32`
4 110×	`lower-/.f64`
3 668×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	507
0	129	507
1	444	457
2	3616	457
0	10154	454

Stop Event

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

Counts

29 → 695

Calls

Call 1

Inputs
(fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0)
(*.f64 D D)
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (.f64 d l)))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))
(.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 D h) (.f64 d (neg.f64 l)))
(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))
(.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))))
(.f64 h (.f64 M (*.f64 M w0)))
(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (*.f64 d l)))
(.f64 D (.f64 M M))
(.f64 D (.f64 D (*.f64 M M)))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)))
(.f64 M (.f64 D (*.f64 M D)))
(*.f64 (/.f64 D d) M)

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))))
(+.f64 (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))) (fma.f64 (.f64 M h) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 M h) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #s(literal -1 binary64))))
(fma.f64 M (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) h) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (.f64 (.f64 M D) h) (.f64 d (.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 h (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(fma.f64 h (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 l #s(literal -2 binary64)))) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d (.f64 l #s(literal -2 binary64)))) (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d (.f64 l #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 (.f64 M D) h) (.f64 d (.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))) h) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 D (.f64 M D))) (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) h #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (*.f64 h #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 M (.f64 d (.f64 l #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 d #s(literal 2 binary64))) h) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h)) (/.f64 (.f64 M D) (.f64 d (.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h)) (.f64 (/.f64 (.f64 M D) (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 M h) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 M D) h)) (.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (.f64 l #s(literal -2 binary64)))) (/.f64 h (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 (.f64 M D) h) (.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d (.f64 l #s(literal -2 binary64)))) d) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) l) (/.f64 h (.f64 d (.f64 #s(literal -2 binary64) (.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal 2 binary64))) (/.f64 h (.f64 d (.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 h d) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d (.f64 l #s(literal -2 binary64)))) (.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h)) M) (/.f64 D (.f64 d (.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h)) (.f64 M D)) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 d l))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h)) (/.f64 M l)) (/.f64 D (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 h (/.f64 M (.f64 d (.f64 l #s(literal -2 binary64))))) (/.f64 (.f64 D (.f64 M D)) (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h)))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 M h) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h)))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))))) (+.f64 (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h)))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (.f64 M (.f64 (.f64 D (.f64 M D)) h))) (.f64 M (.f64 (.f64 D (.f64 M D)) h))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))) #s(literal -1 binary64)) (fma.f64 (.f64 M h) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h)))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))))))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 M h) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) h)) (.f64 M (.f64 (.f64 D (.f64 M D)) h)))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))))))) #s(literal -1 binary64))
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(pow.f64 (/.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 M (.f64 D (.f64 M D)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 M (.f64 D (.f64 M D)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64))
(.f64 M (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))))
(.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))))
(.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))))
(.f64 (/.f64 (.f64 M D) (.f64 d (.f64 l #s(literal -2 binary64)))) (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))))
(.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M D) (.f64 d (.f64 l #s(literal -2 binary64)))))
(.f64 (.f64 D (.f64 M D)) (.f64 M (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))))
(.f64 (.f64 D (.f64 M D)) (/.f64 M (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))))
(.f64 (.f64 M (.f64 D (.f64 M D))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))))
(.f64 (neg.f64 (.f64 M (.f64 D (.f64 M D)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 d l) #s(literal -4 binary64)) (neg.f64 d))))
(.f64 (/.f64 M (.f64 d (.f64 l #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M D)) (.f64 d #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 M (.f64 d (.f64 l #s(literal -2 binary64)))))
(.f64 (/.f64 M l) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 #s(literal -2 binary64) (.f64 d #s(literal 2 binary64))))))
(.f64 (/.f64 M l) (pow.f64 (/.f64 (.f64 d (.f64 #s(literal -2 binary64) (.f64 d #s(literal 2 binary64)))) (.f64 D (.f64 M D))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (.f64 M (.f64 D (*.f64 M D))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M (.f64 D (*.f64 M D)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 (.f64 d (.f64 #s(literal -2 binary64) (.f64 d #s(literal 2 binary64)))) (.f64 M (.f64 D (*.f64 M D)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 d l))) (pow.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M (.f64 D (*.f64 M D)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (.f64 l #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (.f64 l #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (/.f64 (.f64 M D) l) (/.f64 (.f64 M D) (.f64 d (.f64 #s(literal -2 binary64) (.f64 d #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 M D) l) (pow.f64 (/.f64 (.f64 d (.f64 #s(literal -2 binary64) (.f64 d #s(literal 2 binary64)))) (.f64 M D)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) M)
(.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 l #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 d (.f64 l #s(literal -2 binary64)))) (/.f64 M (.f64 d #s(literal 2 binary64))))
(.f64 (/.f64 M (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 D (*.f64 M D)) d))
(.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d))
(.f64 (/.f64 (.f64 D (.f64 M D)) l) (/.f64 M (.f64 d (.f64 #s(literal -2 binary64) (.f64 d #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M (.f64 D (.f64 M D))) d))
(.f64 (pow.f64 (/.f64 l (.f64 D (.f64 M D))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d (.f64 #s(literal -2 binary64) (.f64 d #s(literal 2 binary64)))) M) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d (.f64 l #s(literal -2 binary64))) (.f64 D (.f64 M D))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d #s(literal 2 binary64)) M) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d #s(literal 2 binary64)) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d (.f64 l #s(literal -2 binary64))) (.f64 D (.f64 M D))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 d l) #s(literal -4 binary64)) M) #s(literal -1 binary64)) (pow.f64 (/.f64 d (.f64 D (*.f64 M D))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 d l) #s(literal -4 binary64)) (.f64 M D)) #s(literal -1 binary64)) (/.f64 (*.f64 M D) d))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 d l) #s(literal -4 binary64)) (.f64 D (*.f64 M D))) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 M D)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 D) #s(literal 2 binary64) (*.f64 (log.f64 M) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 M) #s(literal 2 binary64) (*.f64 (log.f64 D) #s(literal 2 binary64))))
(pow.f64 (*.f64 M D) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 M D)) #s(literal 2 binary64))
(.f64 M (.f64 D (*.f64 M D)))
(.f64 D (.f64 M (*.f64 M D)))
(.f64 (.f64 M D) (*.f64 M D))
(.f64 (.f64 D D) (*.f64 M M))
(.f64 (.f64 M M) (*.f64 D D))
(.f64 (.f64 M (*.f64 M D)) D)
(.f64 (.f64 D (*.f64 M D)) M)
(.f64 (neg.f64 (.f64 M D)) (neg.f64 (*.f64 M D)))
(/.f64 M (/.f64 d D))
(/.f64 (*.f64 M D) d)
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M D)))
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 d))
(/.f64 (*.f64 M #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 #s(literal 1 binary64) M) (/.f64 d D))
(pow.f64 (/.f64 d (*.f64 M D)) #s(literal -1 binary64))
(*.f64 M (/.f64 D d))
(*.f64 D (/.f64 M d))
(.f64 D (.f64 (/.f64 #s(literal 1 binary64) d) M))
(.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 D d) M)

eval341.0ms (2.2%)

Memory: -7.3MiB live, 565.9MiB allocated
Compiler: Compiled 68 453 to 3 552 computations (94.8% saved)

prune294.0ms (1.9%)

Memory

8.2MiB live, 665.6MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	2 134	19	2 153
Fresh	4	4	8
Picked	4	1	5
Done	0	1	1
Total	2 142	25	2 167

Accuracy

92.2%

Counts

2 167 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.4%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
▶	88.8%	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
	78.4%	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
	81.9%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h)) (/.f64 M l)) (/.f64 D (.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))) w0)
	80.5%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
	72.2%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D (.f64 M D)) (/.f64 M (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
▶	78.7%	(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
	62.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
✓	77.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
	72.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (neg.f64 l)) (/.f64 (.f64 (/.f64 D d) (.f64 M (*.f64 M #s(literal 1/4 binary64)))) d) #s(literal 1 binary64))))
	54.7%	(.f64 w0 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 D h) (.f64 M D)) (.f64 d (.f64 l (neg.f64 d)))) M) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 M #s(literal 1/4 binary64)) (/.f64 (.f64 (.f64 D h) (.f64 M D)) (.f64 d (.f64 l (neg.f64 d))))) (.f64 (.f64 D h) (.f64 (/.f64 D d) (.f64 M (.f64 M #s(literal 1/4 binary64)))))) (.f64 (.f64 D h) (.f64 (/.f64 D d) (.f64 M (.f64 M #s(literal 1/4 binary64)))))) (.f64 l (neg.f64 d)))))))
	74.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (.f64 D (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))))
▶	83.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
	12.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
	54.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
✓	71.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	54.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
	54.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
	72.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
	56.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
	55.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
	57.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
▶	57.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
	32.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))))) #s(literal -1 binary64))) w0))
▶	9.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))

Compiler

Compiled 1 422 to 865 computations (39.2% saved)

simplify161.0ms (1%)

Memory

0.4MiB live, 272.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
✓	cost-diff	384	(fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
✓	cost-diff	0	(*.f64 D D)
✓	cost-diff	0	(fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0)
✓	cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
✓	cost-diff	384	(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (*.f64 d l)))
✓	cost-diff	0	(*.f64 D D)
✓	cost-diff	0	(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))
✓	cost-diff	0	#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))))
✓	cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
✓	cost-diff	0	(fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
✓	cost-diff	384	(.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d))

Rules

6 914×	`lower-*.f32`
6 866×	`lower-*.f64`
4 212×	`lower-/.f32`
4 196×	`lower-/.f64`
1 580×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	767
0	126	768
1	294	765
2	1217	765
3	4805	729
4	6455	729
0	8124	729

Stop Event

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

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))
(.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d))
(/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -4 binary64)))
(*.f64 M D)
M
D
(.f64 (.f64 d l) #s(literal -4 binary64))
(*.f64 d l)
d
l
#s(literal -4 binary64)
(/.f64 (*.f64 M D) d)
h
#s(literal 1 binary64)
w0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))
(.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0))
#s(literal -1/8 binary64)
(.f64 (.f64 (*.f64 M M) h) w0)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
w0
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
(fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0)
(*.f64 D D)
D
(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (*.f64 d l)))
(/.f64 (*.f64 h #s(literal -1/8 binary64)) d)
(*.f64 h #s(literal -1/8 binary64))
h
#s(literal -1/8 binary64)
d
(/.f64 (.f64 M (.f64 M w0)) (*.f64 d l))
(.f64 M (.f64 M w0))
M
(*.f64 M w0)
w0
(*.f64 d l)
l
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
D
(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64)))
(/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l)))
(.f64 M (.f64 M D))
M
(*.f64 M D)
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
#s(literal 1 binary64)
w0
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(/.f64 D d)
D
d
(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64)))
(/.f64 (.f64 M (.f64 M D)) (*.f64 d l))
(.f64 M (.f64 M D))
M
(*.f64 M D)
(*.f64 d l)
l
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
#s(literal 1 binary64)

Outputs
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 M D) h) (.f64 l (.f64 #s(literal -4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 M D) h) (.f64 l (.f64 #s(literal -4 binary64) (.f64 d d)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))
(fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 M D) h) (.f64 l (.f64 #s(literal -4 binary64) (.f64 d d)))) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 l (.f64 #s(literal -4 binary64) (.f64 d d))))
(/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -4 binary64)))
(/.f64 (.f64 M D) (.f64 d (*.f64 l #s(literal -4 binary64))))
(*.f64 M D)
M
D
(.f64 (.f64 d l) #s(literal -4 binary64))
(.f64 d (.f64 l #s(literal -4 binary64)))
(*.f64 d l)
d
l
#s(literal -4 binary64)
(/.f64 (*.f64 M D) d)
h
#s(literal 1 binary64)
w0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M w0)))))) (.f64 d (.f64 d l)))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M w0)))))) (.f64 d (.f64 d l))))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))
(/.f64 (.f64 D (.f64 D (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M w0)))))) (.f64 d (.f64 d l)))
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))
(/.f64 (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M w0)))) (.f64 d (.f64 d l)))
(.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0))
(.f64 h (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M w0))))
#s(literal -1/8 binary64)
(.f64 (.f64 (*.f64 M M) h) w0)
(.f64 w0 (.f64 h (*.f64 M M)))
(.f64 (.f64 M M) h)
(.f64 h (.f64 M M))
(*.f64 M M)
M
h
w0
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(*.f64 d d)
d
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (/.f64 (.f64 D (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M w0))))) (.f64 d (*.f64 d l))) w0))
(fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0)
(fma.f64 D (/.f64 (.f64 D (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M w0))))) (.f64 d (*.f64 d l))) w0)
(*.f64 D D)
D
(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (*.f64 d l)))
(/.f64 (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M w0)))) (.f64 d (.f64 d l)))
(/.f64 (*.f64 h #s(literal -1/8 binary64)) d)
(*.f64 #s(literal -1/8 binary64) (/.f64 h d))
(*.f64 h #s(literal -1/8 binary64))
h
#s(literal -1/8 binary64)
d
(/.f64 (.f64 M (.f64 M w0)) (*.f64 d l))
(.f64 M (.f64 M w0))
M
(*.f64 M w0)
w0
(*.f64 d l)
l
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (.f64 M (.f64 D (/.f64 M (.f64 d (.f64 d l))))) (.f64 D (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (.f64 M (.f64 D (/.f64 M (.f64 d (.f64 d l))))) (.f64 D (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (.f64 M (.f64 D (/.f64 M (.f64 d (.f64 d l))))) (.f64 D (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 D (/.f64 M (.f64 d (.f64 d l))))) (.f64 D (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
D
(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M (.f64 M D)))) (.f64 d (.f64 d l)))
(/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l)))
(.f64 M (.f64 D (/.f64 M (.f64 d (.f64 d l)))))
(.f64 M (.f64 M D))
M
(*.f64 M D)
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
#s(literal 1 binary64)
w0
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (.f64 M (.f64 D (/.f64 M (.f64 d (.f64 d l))))) (.f64 D (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (.f64 M (.f64 D (/.f64 M (.f64 d (.f64 d l))))) (.f64 D (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (.f64 M (.f64 D (/.f64 M (.f64 d (.f64 d l))))) (.f64 D (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 D (/.f64 M (.f64 d (.f64 d l))))) (.f64 D (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(/.f64 D d)
D
d
(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 M (.f64 M D)))) (*.f64 d l))
(/.f64 (.f64 M (.f64 M D)) (*.f64 d l))
(.f64 M (.f64 D (/.f64 M (*.f64 d l))))
(.f64 M (.f64 M D))
M
(*.f64 M D)
(*.f64 d l)
l
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
#s(literal 1 binary64)

localize308.0ms (1.9%)

Memory

17.7MiB live, 496.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.3%	(fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
✓	accuracy	90.9%	(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
✓	accuracy	86.0%	(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64)))
✓	accuracy	85.0%	(/.f64 (.f64 M (.f64 M D)) (*.f64 d l))
✓	accuracy	98.1%	(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
✓	accuracy	90.9%	(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
✓	accuracy	89.5%	(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64)))
✓	accuracy	81.8%	(/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l)))
✓	accuracy	88.9%	(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (*.f64 d l)))
✓	accuracy	84.4%	(/.f64 (.f64 M (.f64 M w0)) (*.f64 d l))
✓	accuracy	82.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
✓	accuracy	77.6%	(fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0)
✓	accuracy	82.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
✓	accuracy	81.4%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))
✓	accuracy	72.2%	(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))
✓	accuracy	32.3%	#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))))
✓	accuracy	98.1%	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
✓	accuracy	92.3%	(/.f64 (*.f64 M D) d)
✓	accuracy	90.9%	(sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)))
✓	accuracy	85.8%	(/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -4 binary64)))

Samples

159.0ms

256×

valid

Compiler

Compiled 578 to 74 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 57.0ms (60% of total)

ival-div: 21.0ms (22.1% of total)

ival-add: 6.0ms (6.3% of total)

ival-sqrt: 5.0ms (5.3% of total)

ival-sub: 3.0ms (3.2% of total)

ival-pow2: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series98.0ms (0.6%)

Memory

-17.6MiB live, 209.6MiB allocated

Counts

27 → 1 584

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d))>
#<alt (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)>
#<alt (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))>
#<alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))>
#<alt #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))))>
#<alt (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))>
#<alt (*.f64 D D)>
#<alt (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (*.f64 d l)))>
#<alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))>
#<alt (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0)>
#<alt (.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)>
#<alt (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))>
#<alt #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))>
#<alt (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))>
#<alt (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))>
#<alt (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))>
#<alt #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))>
#<alt (/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -4 binary64)))>
#<alt (/.f64 (*.f64 M D) d)>
#<alt (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))>
#<alt (/.f64 (.f64 M (.f64 M w0)) (*.f64 d l))>
#<alt (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l)))>
#<alt (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64)))>
#<alt (/.f64 (.f64 M (.f64 M D)) (*.f64 d l))>
#<alt (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64)))>

Outputs
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))>
#<alt (+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))>
#<alt (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))>
#<alt (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))>
#<alt (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))>
#<alt (* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))>
#<alt (* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))>
#<alt (+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))>
#<alt (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))>
#<alt (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))>
#<alt (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))>
#<alt (* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))>
#<alt (* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))>
#<alt (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))>
#<alt (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)>
#<alt (/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)>
#<alt (/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))>
#<alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))>
#<alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))>
#<alt (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))>
#<alt (/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)>
#<alt (/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)>
#<alt (/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))>
#<alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))>
#<alt (+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))>
#<alt (+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))>
#<alt (* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))>
#<alt (* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))>
#<alt (* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))>
#<alt (* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))>
#<alt (* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))>
#<alt (+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
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#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* (pow M 2) w0) (* d l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* D (pow M 2)) (* (pow d 2) l))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (/ (* D (pow M 2)) (* d l))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>
#<alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))>

Calls

396 calls:

Time	Variable		Point	Expression
4.0ms	l	@	-inf	(* (/ (* M D) (* (* d l) -4)) (/ (* M D) d))
3.0ms	l	@	0	(* (/ (* M (* M D)) (* d (* d l))) (* h -1/4))
1.0ms	h	@	0	(* (/ (* M (* M D)) (* d (* d l))) (* h -1/4))
1.0ms	M	@	0	(* (/ (* M (* M D)) (* d (* d l))) (* h -1/4))
1.0ms	d	@	0	(* (/ (* M (* M D)) (* d (* d l))) (* h -1/4))

simplify448.0ms (2.8%)

Memory

9.7MiB live, 823.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 548×	`lower-*.f64`
8 548×	`lower-*.f32`
6 708×	`lower-fma.f64`
6 708×	`lower-fma.f32`
4 714×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	681	37599
1	2364	37415
0	8556	36366

Stop Event

1×	iter limit
1×	node limit

Counts

1 584 → 1 535

Calls

Call 1

Inputs
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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w0
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w0
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
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1
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1
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1
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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w0
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
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1
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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1
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
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1
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1
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))

Outputs
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) h) w0) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) h) w0)) (.f64 (.f64 d d) l))) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (.f64 M M) (fma.f64 (.f64 M M) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 w0 (.f64 h h))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l))) (/.f64 (.f64 #s(literal -1/1024 binary64) (.f64 (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 M M)) (.f64 (.f64 w0 (.f64 h h)) h))) (.f64 (pow.f64 d #s(literal 6 binary64)) (.f64 l (.f64 l l))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) h) w0)) (.f64 (*.f64 d d) l))) w0)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) d) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(.f64 M (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) d) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 M M)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 M (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 d (.f64 d d)))) (.f64 (.f64 D (.f64 D D)) (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h)))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) d) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M M))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 M (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 w0 (.f64 d (.f64 d d))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (.f64 D (.f64 D D)) (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 w0 (pow.f64 d #s(literal 5 binary64)))) (.f64 (pow.f64 D #s(literal 5 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) d) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M M)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(neg.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) d) (sqrt.f64 (/.f64 h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) d) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 M M)))) (neg.f64 M))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 d (.f64 d d)))) (.f64 (.f64 D (.f64 D D)) (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h)))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) d) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M M))))) (neg.f64 M))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 w0 (.f64 d (.f64 d d))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (.f64 D (.f64 D D)) (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 w0 (pow.f64 d #s(literal 5 binary64)))) (.f64 (pow.f64 D #s(literal 5 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) d) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M M)))))) (neg.f64 M))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (.f64 D D) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/128 binary64) (.f64 (.f64 h (pow.f64 M #s(literal 4 binary64))) h)) w0) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (.f64 D D) (fma.f64 (.f64 D D) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 w0 (.f64 h h)) (pow.f64 M #s(literal 4 binary64))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l))) (/.f64 (.f64 (.f64 #s(literal -1/1024 binary64) (.f64 D D)) (.f64 (.f64 (.f64 w0 (.f64 h h)) h) (pow.f64 M #s(literal 6 binary64)))) (.f64 (pow.f64 d #s(literal 6 binary64)) (.f64 l (.f64 l l))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l))) w0)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) d) (sqrt.f64 (/.f64 h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(.f64 D (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D D) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (*.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) d))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 D (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h)))) (/.f64 (.f64 w0 (.f64 d (.f64 d d))) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (.f64 (.f64 M (.f64 M M)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l h))) (.f64 (.f64 D D) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) d)))))
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w0
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (.f64 d d) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) w0) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (.f64 D (.f64 D D)) (.f64 (.f64 (.f64 M (.f64 M M)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) w0) (.f64 (.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 (.f64 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) d) (sqrt.f64 (/.f64 h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 d d) w0)) (.f64 (.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (.f64 d d) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) w0) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (.f64 D (.f64 D D)) (.f64 (.f64 (.f64 M (.f64 M M)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) w0) (.f64 (.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 (.f64 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) d) (sqrt.f64 (/.f64 h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(neg.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) d) (sqrt.f64 (/.f64 h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) d) (sqrt.f64 (/.f64 h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 d d) w0)) (.f64 (.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (.f64 d d) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) w0) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (.f64 D (.f64 D D)) (.f64 (.f64 (.f64 M (.f64 M M)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) w0) (.f64 (.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)))) (.f64 (.f64 (.f64 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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w0
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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w0
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) w0) M) d) (sqrt.f64 (/.f64 h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(/ (* D (pow M 2)) (* d l))
(/.f64 (.f64 D (.f64 M M)) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 D (.f64 (.f64 M M) h))) (*.f64 d l))

rewrite289.0ms (1.8%)

Memory

26.6MiB live, 374.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 586×	`lower-*.f32`
5 538×	`lower-*.f64`
3 346×	`lower-/.f32`
3 330×	`lower-/.f64`
2 718×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	628
0	126	626
1	465	598
2	3614	598
0	8130	584

Stop Event

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

Counts

27 → 805

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))
(*.f64 D D)
(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (*.f64 d l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
(fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 M D) (.f64 (*.f64 d l) #s(literal -4 binary64)))
(/.f64 (*.f64 M D) d)
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l))
(/.f64 (.f64 M (.f64 M w0)) (*.f64 d l))
(/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l)))
(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64)))
(/.f64 (.f64 M (.f64 M D)) (*.f64 d l))
(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64)))

Outputs
(/.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -4 binary64)))) (/.f64 d (.f64 M D)))
(/.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 l (.f64 d #s(literal -4 binary64))) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 l (.f64 d #s(literal -4 binary64))) (.f64 M D)) (/.f64 d (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 d (.f64 M D)) (/.f64 (.f64 l (.f64 d #s(literal -4 binary64))) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 l (.f64 d #s(literal -4 binary64)))) (.f64 M (.f64 D (.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 l (*.f64 d #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 d #s(literal -4 binary64))) (/.f64 (.f64 M (.f64 D (*.f64 M D))) d)))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (.f64 l (.f64 d #s(literal -4 binary64)))))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 (.f64 d l) #s(literal 4 binary64)) (neg.f64 d)))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (neg.f64 d) (.f64 (.f64 d l) #s(literal 4 binary64))))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 l (*.f64 d d))) #s(literal -4 binary64))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 l (*.f64 d #s(literal -4 binary64)))) d)
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (.f64 l (*.f64 d #s(literal -4 binary64))))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (.f64 (.f64 l (.f64 d #s(literal -4 binary64))) (/.f64 d (.f64 M D))))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (.f64 d (/.f64 (.f64 l (.f64 d #s(literal -4 binary64))) (.f64 M D))))
(/.f64 (.f64 (.f64 M D) (neg.f64 (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -4 binary64))) (neg.f64 d)))
(/.f64 (.f64 (.f64 M D) (neg.f64 (.f64 M D))) (.f64 d (.f64 (.f64 d l) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 M D)) (.f64 (/.f64 (.f64 l (.f64 d #s(literal -4 binary64))) (.f64 M D)) d))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 M D)) (.f64 (/.f64 d (.f64 M D)) (.f64 l (.f64 d #s(literal -4 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal -4 binary64))) (.f64 M D)) (neg.f64 d)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 M D))) (.f64 (/.f64 d (.f64 M D)) (.f64 (.f64 d l) #s(literal 4 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 M D)) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 4 binary64)) d))
(/.f64 (.f64 (neg.f64 (.f64 M D)) (.f64 M D)) (.f64 (neg.f64 d) (.f64 l (.f64 d #s(literal -4 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 M D)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 d l) #s(literal 4 binary64)) (/.f64 d (.f64 M D))))
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(/.f64 (.f64 M (.f64 M D)) (.f64 l (.f64 d d)))
(/.f64 (/.f64 (.f64 M (.f64 M D)) (*.f64 d l)) d)
(/.f64 (.f64 M (neg.f64 (.f64 M D))) (.f64 d (.f64 d (neg.f64 l))))
(/.f64 (.f64 M (/.f64 (.f64 M D) d)) (*.f64 d l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 l (.f64 d d)) (.f64 M (.f64 M D)))))
(/.f64 (neg.f64 (.f64 M (neg.f64 (.f64 M D)))) (neg.f64 (.f64 d (.f64 d (neg.f64 l)))))
(/.f64 (neg.f64 (.f64 M (/.f64 (.f64 M D) d))) (*.f64 d (neg.f64 l)))
(/.f64 (/.f64 (.f64 M (.f64 M D)) l) (*.f64 d d))
(/.f64 (/.f64 (.f64 M (.f64 M D)) (*.f64 d d)) l)
(/.f64 (.f64 (.f64 M (.f64 M D)) #s(literal 1 binary64)) (.f64 l (*.f64 d d)))
(/.f64 (.f64 (/.f64 M d) (.f64 M D)) (*.f64 d l))
(/.f64 (/.f64 (.f64 M (/.f64 (.f64 M D) d)) d) l)
(pow.f64 (/.f64 (.f64 l (.f64 d d)) (.f64 M (.f64 M D))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 l (.f64 d d)) (.f64 M (.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 d l) (.f64 M (/.f64 (*.f64 M D) d))) #s(literal -1 binary64))
(.f64 M (/.f64 (.f64 M D) (.f64 l (.f64 d d))))
(.f64 (.f64 M D) (.f64 M (/.f64 #s(literal 1 binary64) (.f64 l (*.f64 d d)))))
(.f64 (.f64 M D) (/.f64 M (.f64 l (.f64 d d))))
(.f64 (/.f64 (.f64 M D) d) (/.f64 M (*.f64 d l)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 M D)) (.f64 l (*.f64 d d))))
(.f64 (.f64 M M) (.f64 D (/.f64 #s(literal 1 binary64) (.f64 l (*.f64 d d)))))
(.f64 (.f64 M M) (/.f64 D (.f64 l (.f64 d d))))
(.f64 (.f64 M (.f64 M D)) (/.f64 #s(literal 1 binary64) (.f64 l (*.f64 d d))))
(.f64 (.f64 M (neg.f64 (.f64 M D))) (/.f64 #s(literal 1 binary64) (.f64 d (*.f64 d (neg.f64 l)))))
(.f64 (/.f64 M d) (/.f64 (.f64 M D) (*.f64 d l)))
(.f64 (/.f64 (.f64 M D) l) (/.f64 M (*.f64 d d)))
(.f64 (/.f64 M (.f64 d l)) (/.f64 (*.f64 M D) d))
(.f64 (/.f64 (.f64 M D) (*.f64 d l)) (/.f64 M d))
(.f64 (/.f64 M (.f64 d d)) (/.f64 (*.f64 M D) l))
(.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 M (.f64 M D)) (.f64 d l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d l)) (.f64 M (/.f64 (.f64 M D) d)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 d d))) (.f64 M (*.f64 M D)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M (*.f64 M D))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 M D))) #s(literal -1 binary64)))
(.f64 (.f64 M (/.f64 (.f64 M D) d)) (/.f64 #s(literal 1 binary64) (.f64 d l)))
(.f64 (/.f64 (.f64 M D) (*.f64 d d)) (/.f64 M l))
(.f64 (/.f64 (.f64 M D) (*.f64 d d)) (pow.f64 (/.f64 l M) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) M)
(.f64 (/.f64 M l) (/.f64 (.f64 M D) (*.f64 d d)))
(.f64 (/.f64 (.f64 M M) d) (/.f64 D (*.f64 d l)))
(.f64 (/.f64 (.f64 M M) l) (/.f64 D (*.f64 d d)))
(.f64 (/.f64 (.f64 M M) (*.f64 d l)) (/.f64 D d))
(.f64 (/.f64 (.f64 M M) (*.f64 d d)) (/.f64 D l))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) (pow.f64 (/.f64 l (.f64 M (.f64 M D))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l M) #s(literal -1 binary64)) (/.f64 (.f64 M D) (*.f64 d d)))
(.f64 (pow.f64 (/.f64 d (.f64 M M)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d l) D) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l (.f64 M M)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) D) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d l) (*.f64 M M)) #s(literal -1 binary64)) (/.f64 D d))
(.f64 (pow.f64 (/.f64 (.f64 d d) (*.f64 M M)) #s(literal -1 binary64)) (pow.f64 (/.f64 l D) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 d d)) (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64))))))
(/.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 l (.f64 d d)) (.f64 M (*.f64 M D))))
(/.f64 (.f64 (.f64 (.f64 h #s(literal -1/4 binary64)) M) (/.f64 (.f64 M D) (*.f64 d l))) d)
(/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64)))) (.f64 l (.f64 d d)))
(/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64))))) (.f64 d (.f64 d (neg.f64 l))))
(/.f64 (.f64 (.f64 h #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 l (.f64 d d)) (.f64 M (.f64 M D))))
(/.f64 (.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (neg.f64 (.f64 M D)))) (.f64 d (.f64 d (neg.f64 l))))
(/.f64 (.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (/.f64 (.f64 M D) d))) (*.f64 d l))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 h #s(literal -1/4 binary64))) (/.f64 (.f64 l (.f64 d d)) (.f64 M (.f64 M D))))
(/.f64 (.f64 (.f64 M (neg.f64 (.f64 M D))) (.f64 h #s(literal -1/4 binary64))) (.f64 d (.f64 d (neg.f64 l))))
(/.f64 (.f64 (.f64 M (/.f64 (.f64 M D) d)) (.f64 h #s(literal -1/4 binary64))) (*.f64 d l))
(/.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64)))) d) (*.f64 d l))
(/.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64)))) l) (*.f64 d d))
(/.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64)))) (*.f64 d d)) l)
(pow.f64 (/.f64 (.f64 l (.f64 d d)) (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64))))) #s(literal -1 binary64))
(.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64))))
(.f64 h (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M D)) (.f64 l (.f64 d d)))))
(.f64 (.f64 M (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 d d))) (*.f64 h #s(literal -1/4 binary64))))
(.f64 (.f64 M (.f64 M D)) (/.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 l (.f64 d d))))
(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 h (/.f64 (.f64 M (.f64 M D)) (.f64 l (.f64 d d)))))
(.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M D)) (.f64 l (.f64 d d))))
(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) d))
(.f64 (/.f64 M d) (.f64 (/.f64 (.f64 M D) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))))
(.f64 (.f64 h (/.f64 (.f64 M (.f64 M D)) (.f64 l (.f64 d d)))) #s(literal -1/4 binary64))
(.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 l (*.f64 d d))))
(.f64 (.f64 M (/.f64 (.f64 M D) d)) (/.f64 (.f64 h #s(literal -1/4 binary64)) (*.f64 d l)))
(.f64 (/.f64 (.f64 M (.f64 M D)) l) (/.f64 (.f64 h #s(literal -1/4 binary64)) (*.f64 d d)))
(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l))
(.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 l (.f64 d d))) #s(literal -1/4 binary64)) h)
(.f64 (.f64 (.f64 h #s(literal -1/4 binary64)) M) (/.f64 (.f64 M D) (.f64 l (.f64 d d))))
(.f64 (.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 (.f64 M D) (*.f64 d l)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d l) (.f64 M (.f64 M D)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 M (.f64 M D)) (*.f64 d (neg.f64 l))))
(neg.f64 (/.f64 (.f64 M (neg.f64 (.f64 M D))) (*.f64 d l)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d l) (.f64 M (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d l) (.f64 M (*.f64 M D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 M (/.f64 (.f64 M D) d))))
(/.f64 (.f64 M (.f64 M D)) (*.f64 d l))
(/.f64 (.f64 M (neg.f64 (.f64 M D))) (*.f64 d (neg.f64 l)))
(/.f64 (.f64 M (/.f64 (.f64 M D) d)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 d l) (.f64 M (*.f64 M D)))))
(/.f64 (neg.f64 (.f64 M (neg.f64 (.f64 M D)))) (neg.f64 (*.f64 d (neg.f64 l))))
(/.f64 (neg.f64 (.f64 M (/.f64 (.f64 M D) d))) (neg.f64 l))
(/.f64 (/.f64 (.f64 M (.f64 M D)) l) d)
(/.f64 (.f64 (.f64 M (.f64 M D)) #s(literal 1 binary64)) (.f64 d l))
(/.f64 (.f64 (/.f64 M d) (.f64 M D)) l)
(/.f64 (.f64 M (/.f64 (.f64 M D) l)) d)
(pow.f64 (/.f64 (.f64 d l) (.f64 M (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 d l) (.f64 M (*.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (.f64 M (/.f64 (.f64 M D) d))) #s(literal -1 binary64))
(.f64 M (/.f64 (.f64 M D) (*.f64 d l)))
(.f64 (.f64 M D) (/.f64 M (*.f64 d l)))
(.f64 (/.f64 (.f64 M D) d) (/.f64 M l))
(.f64 (/.f64 (.f64 M D) d) (pow.f64 (/.f64 l M) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 M D)) (.f64 d l)))
(.f64 (.f64 M M) (/.f64 D (*.f64 d l)))
(.f64 (.f64 M M) (.f64 D (/.f64 #s(literal 1 binary64) (.f64 d l))))
(.f64 (.f64 M (.f64 M D)) (/.f64 #s(literal 1 binary64) (.f64 d l)))
(.f64 (.f64 M (neg.f64 (.f64 M D))) (/.f64 #s(literal 1 binary64) (.f64 d (neg.f64 l))))
(.f64 (/.f64 M d) (/.f64 (.f64 M D) l))
(.f64 (/.f64 (.f64 M D) l) (/.f64 M d))
(.f64 (/.f64 (.f64 M D) (*.f64 d l)) M)
(.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 l (.f64 M (*.f64 M D))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d l)) (.f64 M (.f64 M D)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d l)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M (.f64 M D))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 M (/.f64 (*.f64 M D) d)))
(.f64 (.f64 M (/.f64 (*.f64 M D) d)) (/.f64 #s(literal 1 binary64) l))
(.f64 (/.f64 M l) (/.f64 (.f64 M D) d))
(.f64 (/.f64 (.f64 M M) d) (/.f64 D l))
(.f64 (/.f64 (.f64 M M) l) (/.f64 D d))
(.f64 (pow.f64 (/.f64 l M) #s(literal -1 binary64)) (/.f64 (.f64 M D) d))
(.f64 (pow.f64 (/.f64 d (.f64 M M)) #s(literal -1 binary64)) (pow.f64 (/.f64 l D) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l (.f64 M M)) #s(literal -1 binary64)) (/.f64 D d))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d l) (.f64 (.f64 M D) (.f64 M (*.f64 h #s(literal -1/4 binary64))))))
(/.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 d l) (.f64 M (.f64 M D))))
(/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64)))) (*.f64 d l))
(/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64))))) (*.f64 d (neg.f64 l)))
(/.f64 (.f64 (.f64 h #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 d l) (.f64 M (*.f64 M D))))
(/.f64 (.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (neg.f64 (.f64 M D)))) (*.f64 d (neg.f64 l)))
(/.f64 (.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (/.f64 (.f64 M D) d))) l)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 h #s(literal -1/4 binary64))) (/.f64 (.f64 d l) (.f64 M (*.f64 M D))))
(/.f64 (.f64 (.f64 M (neg.f64 (.f64 M D))) (.f64 h #s(literal -1/4 binary64))) (*.f64 d (neg.f64 l)))
(/.f64 (.f64 (.f64 M (/.f64 (.f64 M D) d)) (.f64 h #s(literal -1/4 binary64))) l)
(/.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64)))) d) l)
(/.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64)))) l) d)
(pow.f64 (/.f64 (.f64 d l) (.f64 (.f64 M D) (.f64 M (*.f64 h #s(literal -1/4 binary64))))) #s(literal -1 binary64))
(.f64 M (.f64 (/.f64 (.f64 M D) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))))
(.f64 h (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 M (.f64 M D)) (*.f64 d l))))
(.f64 (.f64 M (.f64 M D)) (/.f64 (.f64 h #s(literal -1/4 binary64)) (*.f64 d l)))
(.f64 (.f64 M (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 d l)) (.f64 h #s(literal -1/4 binary64))))
(.f64 #s(literal -1/4 binary64) (.f64 h (/.f64 (.f64 M (.f64 M D)) (*.f64 d l))))
(.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M D)) (*.f64 d l)))
(.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64)))
(.f64 (/.f64 M d) (.f64 (/.f64 (.f64 M D) l) (.f64 h #s(literal -1/4 binary64))))
(.f64 (.f64 h (/.f64 (.f64 M (.f64 M D)) (*.f64 d l))) #s(literal -1/4 binary64))
(.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d l)))
(.f64 (.f64 M (/.f64 (.f64 M D) d)) (/.f64 (.f64 h #s(literal -1/4 binary64)) l))
(.f64 (/.f64 (.f64 M (.f64 M D)) l) (/.f64 (.f64 h #s(literal -1/4 binary64)) d))
(.f64 (.f64 (.f64 h #s(literal -1/4 binary64)) M) (/.f64 (.f64 M D) (*.f64 d l)))
(.f64 (.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 (.f64 M D) l))
(.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) (*.f64 d l)) #s(literal -1/4 binary64)) h)

eval543.0ms (3.4%)

Memory: -60.1MiB live, 559.0MiB allocated
Compiler: Compiled 68 789 to 3 430 computations (95% saved)

prune298.0ms (1.9%)

Memory

-33.1MiB live, 614.2MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	2 342	16	2 358
Fresh	11	7	18
Picked	1	4	5
Done	1	1	2
Total	2 355	28	2 383

Accuracy

92.2%

Counts

2 383 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.4%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
	85.3%	(.f64 (sqrt.f64 (fma.f64 (/.f64 M (.f64 d l)) (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M D) d) h)) #s(literal 1 binary64))) w0)
	91.0%	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 M D) d) (.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
	88.1%	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
	80.5%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
✓	78.7%	(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
	68.9%	(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
	77.0%	(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
	54.7%	(.f64 w0 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 D h) (.f64 M D)) (.f64 d (.f64 l (neg.f64 d)))) M) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 M #s(literal 1/4 binary64)) (/.f64 (.f64 (.f64 D h) (.f64 M D)) (.f64 d (.f64 l (neg.f64 d))))) (.f64 (.f64 D h) (.f64 (/.f64 D d) (.f64 M (.f64 M #s(literal 1/4 binary64)))))) (.f64 (.f64 D h) (.f64 (/.f64 D d) (.f64 M (.f64 M #s(literal 1/4 binary64)))))) (.f64 l (neg.f64 d)))))))
✓	83.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
	12.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
	54.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
✓	71.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	54.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
	72.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
✓	57.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
	12.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
	10.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
	10.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
	11.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
	10.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
	13.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
✓	9.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
	11.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
	13.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
	10.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
	11.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
	9.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 l (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (*.f64 M M)))))) #s(literal -1 binary64))))))

Compiler

Compiled 2 255 to 874 computations (61.2% saved)

regimes273.0ms (1.7%)

Memory

-27.8MiB live, 394.8MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D (.f64 M D)) (/.f64 M (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (.f64 D (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 M (.f64 d l)) (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M D) d) h)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (.f64 (neg.f64 h) D) (.f64 l d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 M D) d) (.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (neg.f64 l)) (/.f64 (.f64 (/.f64 D d) (.f64 M (*.f64 M #s(literal 1/4 binary64)))) d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (.f64 (.f64 (.f64 M D) h) #s(literal 1/2 binary64)) d) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h)) (/.f64 M l)) (/.f64 D (.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D D) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 D D)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 l (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (*.f64 M M)))))) #s(literal -1 binary64))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))))) #s(literal -1 binary64))) w0))
(.f64 w0 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 D h) (.f64 M D)) (.f64 d (.f64 l (neg.f64 d)))) M) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 M #s(literal 1/4 binary64)) (/.f64 (.f64 (.f64 D h) (.f64 M D)) (.f64 d (.f64 l (neg.f64 d))))) (.f64 (.f64 D h) (.f64 (/.f64 D d) (.f64 M (.f64 M #s(literal 1/4 binary64)))))) (.f64 (.f64 D h) (.f64 (/.f64 D d) (.f64 M (.f64 M #s(literal 1/4 binary64)))))) (.f64 l (neg.f64 d)))))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))

Calls

15 calls:

25.0ms	D
22.0ms	w0
19.0ms	l
19.0ms	d
18.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Results

Accuracy	Segments	Branch
91.8%	1	`w0`
91.8%	1	`M`
91.8%	1	`D`
91.8%	1	`h`
91.8%	1	`l`
91.8%	1	`d`
91.8%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
91.8%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
91.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
91.8%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
91.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
91.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
91.8%	1	`(*.f64 M D)`
91.8%	1	`(*.f64 #s(literal 2 binary64) d)`
91.8%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes305.0ms (1.9%)

Memory

17.4MiB live, 248.9MiB allocated

Counts

59 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D (.f64 M D)) (/.f64 M (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (.f64 D (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 M (.f64 d l)) (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M D) d) h)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (.f64 (neg.f64 h) D) (.f64 l d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 M D) d) (.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (neg.f64 l)) (/.f64 (.f64 (/.f64 D d) (.f64 M (*.f64 M #s(literal 1/4 binary64)))) d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (.f64 (.f64 (.f64 M D) h) #s(literal 1/2 binary64)) d) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h)) (/.f64 M l)) (/.f64 D (.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D D) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 D D)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h))))))

Outputs
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 M D) d) (.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)

Calls

15 calls:

32.0ms	M
28.0ms	h
22.0ms	l
21.0ms	d
18.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
91.0%	1	`h`
91.0%	1	`w0`
91.0%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
91.0%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
91.0%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
91.0%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
91.0%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
91.0%	1	`(/.f64 h l)`
91.0%	1	`M`
91.0%	1	`D`
91.0%	1	`l`
91.0%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
91.0%	1	`(*.f64 M D)`
91.0%	1	`d`
91.0%	1	`(*.f64 #s(literal 2 binary64) d)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes398.0ms (2.5%)

Memory

9.9MiB live, 205.3MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D (.f64 M D)) (/.f64 M (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (.f64 D (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 M (.f64 d l)) (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M D) d) h)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (.f64 (neg.f64 h) D) (.f64 l d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))

Calls

15 calls:

87.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
71.0ms	h
70.0ms	M
27.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
14.0ms	w0

Results

Accuracy	Segments	Branch
88.8%	1	`w0`
88.8%	1	`h`
88.8%	1	`d`
88.8%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
88.8%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.8%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.8%	1	`(*.f64 #s(literal 2 binary64) d)`
88.8%	1	`(/.f64 h l)`
88.8%	1	`M`
88.8%	1	`D`
88.8%	1	`l`
88.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.8%	1	`(*.f64 M D)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes389.0ms (2.4%)

Memory

12.7MiB live, 245.7MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D (.f64 M D)) (/.f64 M (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (.f64 D (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 M (.f64 d l)) (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M D) d) h)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (.f64 (neg.f64 h) D) (.f64 l d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))

Outputs
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)

Calls

15 calls:

72.0ms	(*.f64 M D)
72.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
56.0ms	M
48.0ms	h
14.0ms	w0

Results

Accuracy	Segments	Branch
88.8%	1	`w0`
88.8%	1	`d`
88.8%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
88.8%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.8%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.8%	1	`(*.f64 #s(literal 2 binary64) d)`
88.8%	1	`h`
88.8%	1	`l`
88.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.8%	1	`M`
88.8%	1	`D`
88.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.8%	1	`(*.f64 M D)`
88.8%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes173.0ms (1.1%)

Memory

20.7MiB live, 293.6MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D (.f64 M D)) (/.f64 M (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (.f64 D (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)

Outputs
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)

Calls

15 calls:

14.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
14.0ms	l
13.0ms	(*.f64 #s(literal 2 binary64) d)
13.0ms	M
12.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
88.1%	1	`w0`
88.1%	1	`h`
88.1%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.1%	1	`d`
88.1%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
88.1%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.1%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.1%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.1%	1	`(*.f64 #s(literal 2 binary64) d)`
88.1%	1	`(/.f64 h l)`
88.1%	1	`M`
88.1%	1	`D`
88.1%	1	`l`
88.1%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.1%	1	`(*.f64 M D)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes171.0ms (1.1%)

Memory

-15.6MiB live, 299.5MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D (.f64 M D)) (/.f64 M (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (.f64 D (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)

Outputs

(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)

(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))

Calls

15 calls:

16.0ms	l
12.0ms	d
12.0ms	D
12.0ms	w0
11.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
83.8%	1	`w0`
83.8%	1	`h`
83.8%	1	`l`
85.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.8%	1	`M`
87.3%	2	`D`
87.3%	2	`d`
83.8%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
86.6%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
86.6%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
87.6%	2	`(*.f64 M D)`
87.3%	2	`(*.f64 #s(literal 2 binary64) d)`
83.8%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes86.0ms (0.5%)

Memory

12.1MiB live, 169.5MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D (.f64 M D)) (/.f64 M (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (.f64 D (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)

Outputs

(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))

Calls

8 calls:

11.0ms	(*.f64 #s(literal 2 binary64) d)
11.0ms	(*.f64 M D)
11.0ms	D
11.0ms	h
11.0ms	d

Results

Accuracy	Segments	Branch
83.8%	1	`h`
83.8%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.8%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
83.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.8%	1	`d`
83.8%	1	`(*.f64 #s(literal 2 binary64) d)`
83.8%	1	`D`
83.8%	1	`(*.f64 M D)`

Compiler

Compiled 101 to 77 computations (23.8% saved)

regimes150.0ms (0.9%)

Memory

15.7MiB live, 291.5MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D (.f64 M D)) (/.f64 M (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (.f64 D (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)

Outputs

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)

Calls

15 calls:

11.0ms	(*.f64 #s(literal 2 binary64) d)
11.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
11.0ms	l
11.0ms	h
11.0ms	w0

Results

Accuracy	Segments	Branch
85.2%	2	`D`
82.5%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
84.3%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
84.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
85.2%	2	`(*.f64 M D)`
83.3%	2	`M`
80.5%	1	`l`
80.5%	1	`d`
84.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.7%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
80.5%	1	`(*.f64 #s(literal 2 binary64) d)`
83.3%	2	`(/.f64 h l)`
80.5%	1	`w0`
83.7%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
80.5%	1	`h`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes34.0ms (0.2%)

Memory

-8.2MiB live, 69.6MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 D (.f64 M D)) (/.f64 M (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)

Outputs

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)

Calls

4 calls:

8.0ms	D
8.0ms	(*.f64 M D)
8.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
7.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))

Results

Accuracy	Segments	Branch
83.4%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
83.4%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.6%	2	`D`
84.3%	2	`(*.f64 M D)`

Compiler

Compiled 59 to 44 computations (25.4% saved)

regimes36.0ms (0.2%)

Memory

-17.3MiB live, 62.7MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)

Outputs

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)

Calls

4 calls:

11.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
8.0ms	(*.f64 M D)
7.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
7.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
82.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
82.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.7%	2	`(*.f64 M D)`

Compiler

Compiled 56 to 41 computations (26.8% saved)

regimes117.0ms (0.7%)

Memory

31.8MiB live, 228.1MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 w0 (.f64 M M))) l) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 (.f64 M (.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) (.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 M (.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 d l))))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

15 calls:

9.0ms	h
9.0ms	w0
9.0ms	D
8.0ms	(/.f64 h l)
8.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
79.6%	4	`d`
79.6%	4	`(*.f64 #s(literal 2 binary64) d)`
74.1%	2	`w0`
74.2%	2	`l`
72.4%	1	`h`
79.5%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
80.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
80.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
77.4%	2	`M`
77.7%	2	`(/.f64 h l)`
81.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
80.4%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.4%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
79.9%	3	`D`
80.1%	3	`(*.f64 M D)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes6.0ms (0%)

Memory

-28.4MiB live, 10.7MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 d l)))))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

1 calls:

5.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
80.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes21.0ms (0.1%)

Memory

0.0MiB live, 39.0MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d (*.f64 d l)))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 (.f64 (.f64 h (.f64 w0 (.f64 M M))) #s(literal 1/8 binary64)) (.f64 D D)) (.f64 d (.f64 d (neg.f64 l))))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

5 calls:

4.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
4.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
4.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
4.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
4.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))

Results

Accuracy	Segments	Branch
79.1%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
79.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
79.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
80.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 90 to 65 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

3 calls:

3.0ms

(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))

3.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

3.0ms

(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
78.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.8%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
79.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes7.0ms (0%)

Memory

-25.9MiB live, 14.2MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 l (.f64 d d)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 l (.f64 d d))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))))) (.f64 l (.f64 d d)))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 w0 (*.f64 l (*.f64 d d)))))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

2 calls:

4.0ms

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

2.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
79.2%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
79.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 43 to 30 computations (30.2% saved)

regimes20.0ms (0.1%)

Memory

15.3MiB live, 54.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

15 calls:

2.0ms	M
1.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms	D
1.0ms	h
1.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
71.2%	1	`h`
71.2%	1	`w0`
71.2%	1	`l`
71.2%	1	`d`
71.2%	1	`(*.f64 #s(literal 2 binary64) d)`
71.2%	1	`M`
71.2%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
71.2%	1	`(/.f64 h l)`
71.2%	1	`D`
71.2%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
71.2%	1	`(*.f64 M D)`
71.2%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
71.2%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
71.2%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
71.2%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2813200976576432e-11	2.6120091053464667e-11

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.474075022499178e-188	3.860751945825319e-185

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4217652435517602e-120	6.461131137303963e-120

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.474075022499178e-188	3.860751945825319e-185

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.881255650605496e+172	-9.949263031583172e+127

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.881255650605496e+172	-9.949263031583172e+127

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.465256279985279e+114	-7.044131720371643e+101

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.465256279985279e+114	-7.044131720371643e+101

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.367101257041692e+210	-9.305278063274401e+204

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify14.0ms (0.1%)

Memory

-15.9MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	859
1	240	859

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 M D) d) (.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(if (<=.f64 (.f64 M D) #s(literal 7737125245533627/309485009821345068724781056 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0))
(if (<=.f64 (.f64 M D) #s(literal 5814709794364855/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0))
(if (<=.f64 (.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (.f64 d l)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (.f64 d l))))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (.f64 d l))) w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (.f64 d l))) w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999854227564838689211149197336306589765346917850784974389287407264558197116118932362088956801451687625676673590243122062793009333835997028916892708287058863843646543590072500136370325609393187454976 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 M D) d) (.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (/.f64 (.f64 M D) d) (*.f64 l #s(literal -4 binary64)))) h #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 d #s(literal -2 binary64)) l))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 (.f64 M D) d)) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 #s(literal -4 binary64) (.f64 d l)))) h #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 (.f64 d l) #s(literal -4 binary64))) (.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal -4 binary64) (.f64 d l))) (.f64 D (/.f64 M d))) h #s(literal 1 binary64))))
(if (<=.f64 (.f64 M D) #s(literal 7737125245533627/309485009821345068724781056 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 (.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 M D) #s(literal 7737125245533627/309485009821345068724781056 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 M d) (/.f64 (.f64 D (.f64 M D)) (.f64 #s(literal -4 binary64) (.f64 d l)))) h #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0))
(if (<=.f64 (.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (.f64 #s(literal -4 binary64) (*.f64 d l))))) h #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 5814709794364855/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l))) (.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0))
(if (<=.f64 (.f64 M D) #s(literal 5814709794364855/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 M (.f64 M D)) (.f64 d (.f64 d l)))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d d))) (.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0))
(if (<=.f64 (.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (.f64 M (.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 M D) (.f64 l (.f64 d d))))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 (.f64 (.f64 (.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (.f64 w0 (/.f64 M (.f64 d l)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 M (.f64 (.f64 h (.f64 D D)) (/.f64 #s(literal -1/8 binary64) d))) (.f64 w0 (/.f64 M (.f64 d l)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) M) (.f64 w0 (/.f64 M (.f64 d l))))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 w0 (/.f64 M (.f64 d l))) (.f64 M (/.f64 (.f64 h #s(literal -1/8 binary64)) d)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M w0)) M)) (.f64 d (.f64 d l))) w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 h (.f64 w0 M)))) (.f64 d (.f64 d l))) w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 d (.f64 d l))) w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 w0 M)))) (.f64 d (.f64 d l))) w0)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999854227564838689211149197336306589765346917850784974389287407264558197116118932362088956801451687625676673590243122062793009333835997028916892708287058863843646543590072500136370325609393187454976 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999854227564838689211149197336306589765346917850784974389287407264558197116118932362088956801451687625676673590243122062793009333835997028916892708287058863843646543590072500136370325609393187454976 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 l (.f64 d d))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

soundness1.7s (10.5%)

Memory

27.6MiB live, 1 163.7MiB allocated

Rules

10 592×	`lower-*.f64`
10 592×	`lower-*.f32`
10 482×	`lower-*.f64`
10 482×	`lower-*.f32`
8 912×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	36052
1	2361	35860
0	8541	34783
0	81	628
0	126	626
1	465	598
2	3614	598
0	8130	584
0	628	8158
1	2189	8136
0	8486	7930
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78
0	57	397
0	96	388
1	345	333
2	3409	333
0	8806	319
0	77	507
0	129	507
1	444	457
2	3616	457
0	10154	454
0	662	35475
1	2294	35245
0	8222	34197

Stop Event

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

Compiler

Compiled 1 644 to 877 computations (46.7% saved)

preprocess247.0ms (1.6%)

Memory

16.2MiB live, 373.2MiB allocated

Remove

(sort M D)

(negabs w0)

(abs M)

(abs D)

(abs d)

Compiler

Compiled 2 892 to 1 516 computations (47.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze573.0ms (3.6%)

sample2.8s (17.6%)

preprocess241.0ms (1.5%)

explain242.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify161.0ms (1%)

localize56.0ms (0.3%)

series73.0ms (0.5%)

simplify276.0ms (1.7%)

rewrite352.0ms (2.2%)

eval190.0ms (1.2%)

prune270.0ms (1.7%)

simplify223.0ms (1.4%)

localize287.0ms (1.8%)

series189.0ms (1.2%)

simplify592.0ms (3.7%)

rewrite383.0ms (2.4%)

eval346.0ms (2.2%)

prune258.0ms (1.6%)

simplify166.0ms (1%)

localize241.0ms (1.5%)

series263.0ms (1.7%)

simplify439.0ms (2.8%)

rewrite352.0ms (2.2%)

eval341.0ms (2.2%)

prune294.0ms (1.9%)

simplify161.0ms (1%)

localize308.0ms (1.9%)

series98.0ms (0.6%)

simplify448.0ms (2.8%)

rewrite289.0ms (1.8%)

eval543.0ms (3.4%)

prune298.0ms (1.9%)

regimes273.0ms (1.7%)

regimes305.0ms (1.9%)

regimes398.0ms (2.5%)

regimes389.0ms (2.4%)

regimes173.0ms (1.1%)

regimes171.0ms (1.1%)

regimes86.0ms (0.5%)

regimes150.0ms (0.9%)

regimes34.0ms (0.2%)

regimes36.0ms (0.2%)

regimes117.0ms (0.7%)

regimes6.0ms (0%)

regimes21.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0%)

regimes20.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness1.7s (10.5%)

preprocess247.0ms (1.6%)

end0.0ms (0%)

Profiling