Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze490.0ms (2.9%)

Memory

9.4MiB live, 871.9MiB 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)

sample2.2s (13.2%)

Memory

49.1MiB live, 3 072.7MiB allocated

Samples

1.1s	8 256×	0	valid
289.0ms	2 754×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 894.0ms

ival-mult: 307.0ms (34.3% of total)

ival-div: 217.0ms (24.3% of total)

ival-pow2: 166.0ms (18.6% of total)

ival-sub: 103.0ms (11.5% of total)

ival-sqrt: 79.0ms (8.8% of total)

exact: 11.0ms (1.2% of total)

ival-true: 8.0ms (0.9% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain246.0ms (1.5%)

Memory

7.2MiB live, 245.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
43	-	1	(2.6696080206114386e+235 -1.4330696101129543e+158 1.8696526834158359e+37 -2.077573034189074e-151 2.2649682228652074e+160 -3.283602881986284e+101)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
22	-	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))))`
20	-	4	(-5.025370465962756e+110 2.094293474763811e-131 2.870267175551348e-193 -1.257202530661575e+260 1.0379396267989547e-110 5.596784376984073e-277)	`(/.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	22	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	59
↳	`(-.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	58
↳	`(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	36
↳	`(*.f64 M D)`	overflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	31
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	58
↳	`(/.f64 h l)`	overflow	22
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	10	0
↳	`(*.f64 M D)`	overflow	31
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	9	0
`*.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**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	59
↳	`(*.f64 M D)`	overflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	31
↳	`(/.f64 h l)`	underflow	31

Confusion

	Predicted +	Predicted -
+	31	13
-	14	198

Precision

0.6888888888888889

Recall

0.7045454545454546

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	31	0	13
-	14	0	198

Precision?

0.6888888888888889

Recall?

0.7045454545454546

Freqs

test

number	freq
0	211
1	41
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms

512×

valid

Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 12.0ms (31.3% of total)

ival-sub: 9.0ms (23.5% of total)

ival-div: 8.0ms (20.9% of total)

ival-pow2: 5.0ms (13% of total)

ival-sqrt: 3.0ms (7.8% of total)

exact: 1.0ms (2.6% of total)

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

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

preprocess357.0ms (2.1%)

Memory

-24.6MiB live, 335.4MiB 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)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.4%	(.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)

simplify239.0ms (1.4%)

Memory

8.5MiB live, 242.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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

localize78.0ms (0.5%)

Memory

-2.8MiB live, 82.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.2119329346237793	(.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	4.124433032164844	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	5.1463855678869175	(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	9.778930924694162	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

64.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

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

ival-mult: 38.0ms (80.8% of total)

ival-div: 4.0ms (8.5% of total)

ival-sqrt: 2.0ms (4.3% of total)

ival-pow2: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series110.0ms (0.7%)

Memory

0.6MiB live, 118.3MiB allocated

Counts

6 → 324

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(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))))) (patch (.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))))) #<representation binary64>) () ())
#s(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)))) (patch (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)))) #<representation binary64>) () ())
#s(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))) (patch (-.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))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())

Calls

81 calls:

Time	Variable		Point	Expression
26.0ms	w0	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
12.0ms	l	@	-inf	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
4.0ms	l	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
2.0ms	M	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
2.0ms	d	@	0	(pow (/ (* M D) (* 2 d)) 2)

simplify318.0ms (1.9%)

Memory

12.9MiB live, 418.1MiB 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))))
(+ 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)))
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)))
(+ 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))
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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
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w0
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w0
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(/.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)

rewrite279.0ms (1.7%)

Memory

-8.2MiB live, 392.5MiB allocated

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

eval136.0ms (0.8%)

Memory: 19.8MiB live, 244.9MiB allocated
Compiler: Compiled 31 317 to 4 375 computations (86% saved)

prune194.0ms (1.2%)

Memory

-19.7MiB live, 388.9MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	989	17	1 006
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	990	17	1 007

Accuracy

93.1%

Counts

1 007 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.5%	(.f64 (sqrt.f64 (-.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)))))) w0)
▶	91.9%	(.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))))
	85.7%	(.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))))
▶	90.4%	(.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))))
	86.4%	(.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))))
	82.1%	(.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))))
	74.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 d d))))))
▶	80.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 M D)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D))))))
	85.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))))
	76.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 l h))))))
	83.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h))))))
	79.1%	(.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)))))
▶	61.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))))
	16.9%	(.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)))))
	59.6%	(.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 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
▶	68.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	61.1%	#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 936 to 608 computations (35% saved)

simplify150.0ms (0.9%)

Memory

20.2MiB live, 252.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 M D)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 M D)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 M D)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D))))))
cost-diff	768	(/.f64 (.f64 (/.f64 h l) (.f64 M D)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
cost-diff	0	(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))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))))
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

7 816×	`lower-*.f32`
7 786×	`lower-*.f64`
2 794×	`lower-/.f32`
2 772×	`lower-/.f64`
1 360×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	568
0	97	582
1	207	560
2	816	514
3	6256	514
0	8113	514

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

localize162.0ms (1%)

Memory

-18.4MiB live, 299.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.1463855678869175	(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	5.223575137524361	(/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
accuracy	5.456583560785273	(.f64 (.f64 M D) h)
accuracy	8.191656642886459	(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
accuracy	5.1463855678869175	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 M D)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))
accuracy	6.833271897562682	(/.f64 (.f64 (/.f64 h l) (.f64 M D)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
accuracy	8.163740440948441	(/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (*.f64 M D))
accuracy	10.640002836589874	(.f64 (/.f64 h l) (.f64 M D))
accuracy	5.1463855678869175	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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))))
accuracy	7.645888064995547	(.f64 (.f64 M M) h)
accuracy	12.04091274971625	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
accuracy	13.243251137380739	(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))
accuracy	1.2119329346237793	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	20.308597773556908	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	4.124433032164844	(/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64)))
accuracy	4.124433032164845	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	5.1463855678869175	(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	6.253217750386202	(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))

Samples

93.0ms

256×

valid

Compiler

Compiled 516 to 55 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 29.0ms (45.8% of total)

ival-div: 18.0ms (28.5% of total)

ival-sqrt: 7.0ms (11.1% of total)

ival-add: 3.0ms (4.7% of total)

ival-sub: 2.0ms (3.2% of total)

ival-pow2: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series157.0ms (0.9%)

Memory

16.5MiB live, 290.4MiB allocated

Counts

27 → 1 488

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* D (* M h)) (taylor inf M) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf M) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf M) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf M) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf M) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf M) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf M) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf D) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf h) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())

Calls

372 calls:

Time	Variable		Point	Expression
11.0ms	M	@	0	(/ (/ (* (* M D) h) (* 2 d)) (neg l))
7.0ms	d	@	inf	(/ (/ (* M D) (* 2 d)) (/ 1 h))
3.0ms	h	@	inf	(/ (/ (* M D) (* 2 d)) (/ 1 h))
2.0ms	D	@	0	(* (/ h l) (* M D))
1.0ms	D	@	0	(/ (/ (* M D) (* 2 d)) (/ 1 h))

simplify825.0ms (4.9%)

Memory

-134.2MiB live, 744.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 408×	`lower-*.f64`
10 408×	`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	656	37103
1	2273	36831
0	8166	35741

Stop Event

1×	iter limit
1×	node limit

Counts

1 488 → 1 453

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))))
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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))))
(* -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))))
(+ 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)))
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))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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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))))
(* -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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(* (/ (* 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))))
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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)))))))
(* -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
(+ 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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(+ 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
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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))))
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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))))
(+ 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)))))))
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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))))
(+ 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
(+ 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))))
(+ 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)))))))
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)))
(+ 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 (* -1/8 (/ (* (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 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)))))))))
(* (/ (* 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))))
(* -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)))
(+ 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 (* -1/8 (/ (* (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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(* (/ (* 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
(+ 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))))))
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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))
(* 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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(* 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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(* -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))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(/ (* D (* M h)) l)
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
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(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 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))
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(* 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))
(* 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))
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(* 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))
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(* 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))
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(* 1/2 (/ (* D (* M h)) d))
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(* 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))

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

rewrite254.0ms (1.5%)

Memory

15.4MiB live, 530.1MiB allocated

Rules

4 496×	`lower-*.f32`
4 464×	`lower-*.f64`
3 504×	`lower-/.f32`
3 482×	`lower-/.f64`
3 144×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	471
0	97	462
1	350	429
2	3494	429
0	8173	429

Stop Event

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

Counts

27 → 871

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

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

eval419.0ms (2.5%)

Memory: 25.2MiB live, 595.8MiB allocated
Compiler: Compiled 79 096 to 4 641 computations (94.1% saved)

prune492.0ms (2.9%)

Memory

25.7MiB live, 819.5MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	2 430	14	2 444
Fresh	8	4	12
Picked	4	1	5
Done	0	0	0
Total	2 442	19	2 461

Accuracy

93.5%

Counts

2 461 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.1%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M 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)
	82.0%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (neg.f64 (*.f64 M D)) #s(literal 1 binary64))) w0)
	64.8%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/4 binary64))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0)
▶	89.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #s(approx (/ (/ ( M D) (* 2 d)) (/ 1 h)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)) #s(literal 1 binary64))))
▶	88.3%	(.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))))
	88.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h) #s(literal 1 binary64))))
	82.1%	(.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))))
	83.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 M D)) (.f64 d (/.f64 (.f64 d #s(literal 4 binary64)) (.f64 M D)))))))
	79.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (/.f64 (.f64 d d) M)) (/.f64 (/.f64 h l) (/.f64 #s(literal 4 binary64) D))))))
	83.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h))))))
	17.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l)))))
	63.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (/.f64 (.f64 h (.f64 M M)) l) (*.f64 D D)) #s(literal 1 binary64)))))
	80.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l)))) D #s(literal 1 binary64)))))
	68.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/4 binary64))) d) (*.f64 d l)) #s(literal 1 binary64)))))
▶	62.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)))))
	16.9%	(.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)))))
	59.6%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
✓	68.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	61.1%	#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 1 020 to 658 computations (35.5% saved)

simplify165.0ms (1%)

Memory

2.8MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 244×	`lower-*.f32`
6 190×	`lower-*.f64`
3 928×	`lower-/.f32`
3 912×	`lower-/.f64`
1 236×	`lower--.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	699
0	118	689
1	256	675
2	984	669
3	4120	669
4	4760	669
5	6321	669
0	8057	669

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

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

localize232.0ms (1.4%)

Memory

-25.4MiB live, 281.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.1279356198600485	(/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d)
accuracy	5.1463855678869175	(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	7.063565251190074	(.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))))
accuracy	9.182723757428226	(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))
accuracy	1.2119329346237793	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M 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	1.4297783111948732	(fma.f64 (/.f64 (.f64 (.f64 M 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	5.1463855678869175	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M 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	13.805182849045208	(/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)))
accuracy	5.1463855678869175	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64))))
accuracy	7.645888064995547	(.f64 h (.f64 M M))
accuracy	12.173104081049914	(.f64 (.f64 h (.f64 M M)) (/.f64 #s(literal -1/4 binary64) (.f64 d (*.f64 d l))))
accuracy	13.243251137380739	(fma.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64))
accuracy	7.01563575634526	(.f64 h (.f64 M (*.f64 M w0)))
accuracy	8.631826560304365	#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))
accuracy	9.889900786440654	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
accuracy	12.73508689486073	(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)
accuracy	4.124433032164844	(/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64)))
accuracy	5.1463855678869175	(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #s(approx (/ (/ (* M D) (* 2 d)) (/ 1 h)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)) #s(literal 1 binary64)))
accuracy	5.223575137524361	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
accuracy	5.280428908438886	(.f64 D (.f64 M h))

Samples

141.0ms

256×

valid

Compiler

Compiled 594 to 70 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 59.0ms (62.8% of total)

ival-div: 19.0ms (20.2% of total)

ival-sqrt: 6.0ms (6.4% of total)

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

ival-pow2: 2.0ms (2.1% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series150.0ms (0.9%)

Memory

14.5MiB live, 273.5MiB allocated

Counts

29 → 1 536

Calls

Call 1

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

Outputs
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf l) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf l) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf l) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf l) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf l) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf l) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf l) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor 0 d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor inf d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) (patch (.f64 h (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())) ())

Calls

384 calls:

Time	Variable		Point	Expression
13.0ms	l	@	inf	(* (* l (* d -2)) (* 2 d))
3.0ms	D	@	-inf	(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0)
2.0ms	d	@	0	(* w0 (sqrt (+ (* (/ (* (* M D) 1/2) d) (* h (/ (* M D) (* l (* d -2))))) 1)))
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)

simplify423.0ms (2.5%)

Memory

27.4MiB live, 610.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 504×	`lower-*.f64`
8 504×	`lower-*.f32`
6 708×	`lower-fma.f64`
6 708×	`lower-fma.f32`
4 644×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	682	36448
1	2356	36256
0	8499	35179

Stop Event

1×	iter limit
1×	node limit

Counts

1 536 → 1 494

Calls

Call 1

Inputs
(* -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)))
(* -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)))
(* 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))))
(+ 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)))))))
(* (/ (* 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
(+ 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))))))))
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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)))))))))
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)))))
(* 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))))
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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)))
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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))))
(+ 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)))))))
(* (/ (* 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
(+ 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)))))))))
1
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(+ 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)))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* (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))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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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))
(/ (+ (* -1/4 (/ (* (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))))
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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
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* -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))))
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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))))))
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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
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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
(+ 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))))
(+ 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)))
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)))
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w0
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(* (/ (* D (* M (* w0 (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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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))) (* (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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1
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1
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(* -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))))))
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(* -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 h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))

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

rewrite457.0ms (2.7%)

Memory

-3.3MiB live, 351.7MiB allocated

Rules

5 934×	`lower-*.f32`
5 880×	`lower-*.f64`
3 512×	`lower-/.f32`
3 496×	`lower-/.f64`
2 882×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	537
0	118	525
1	418	490
2	3287	490
0	8744	486

Stop Event

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

Counts

29 → 859

Calls

Call 1

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

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

eval308.0ms (1.8%)

Memory: 30.9MiB live, 556.7MiB allocated
Compiler: Compiled 74 641 to 4 276 computations (94.3% saved)

prune568.0ms (3.4%)

Memory

-21.4MiB live, 876.5MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	2 356	15	2 371
Fresh	8	5	13
Picked	4	1	5
Done	0	1	1
Total	2 368	22	2 390

Accuracy

93.8%

Counts

2 390 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.1%	(.f64 (sqrt.f64 (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))) w0)
	86.8%	(.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)
	79.9%	(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))))) h #s(literal 1 binary64))) w0)
▶	73.4%	(.f64 (sqrt.f64 (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))) w0)
	83.8%	(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))) h) #s(literal 1 binary64))) w0)
	17.6%	(.f64 (sqrt.f64 #s(approx (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (*.f64 d d)))))) w0)
▶	59.6%	(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))) w0)
▶	88.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #s(approx (/ (/ ( M D) (* 2 d)) (/ 1 h)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)) #s(literal 1 binary64))))
	82.1%	(.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))))
	83.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 M D)) (.f64 d (/.f64 (.f64 d #s(literal 4 binary64)) (.f64 M D)))))))
	83.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h))))))
▶	17.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l)))))
	76.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D h) (/.f64 (.f64 M M) (.f64 (.f64 d (.f64 d l)) #s(literal -4 binary64)))) D #s(literal 1 binary64)))))
✓	62.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)))))
	16.9%	(.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)))))
✓	68.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	75.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 d (*.f64 d l))) D w0))
	61.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d l)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))) d) w0))
	61.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))) l) w0))
	62.3%	#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 (*.f64 d d) l)) w0))
	60.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 d (*.f64 d l)))) w0))
▶	15.9%	#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 D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 l (.f64 d d))))))

Compiler

Compiled 1 136 to 716 computations (37% saved)

simplify186.0ms (1.1%)

Memory

9.7MiB live, 205.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 284×	`lower-/.f32`
6 270×	`lower-/.f64`
5 626×	`lower-*.f32`
5 570×	`lower-*.f64`
1 744×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	787
0	139	788
1	337	771
2	1498	762
3	5163	746
4	7283	746
0	8227	744

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

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

localize542.0ms (3.2%)

Memory

34.8MiB live, 301.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.6503289249346693	(.f64 M (.f64 D (*.f64 M D)))
accuracy	5.1463855678869175	(sqrt.f64 (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)))
accuracy	6.078367974062496	(/.f64 h (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))
accuracy	9.650508891697758	(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))
accuracy	6.521817265934663	(.f64 D (.f64 M M))
accuracy	6.671834038170788	(.f64 h (.f64 D (.f64 D (.f64 M M))))
accuracy	12.948104660328006	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
accuracy	41.42948959877283	#s(approx (- 1 (/ (* (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l)))
accuracy	7.645888064995549	(.f64 (.f64 M M) h)
accuracy	11.446046484992836	#s(approx (sqrt (+ (* (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64)))
accuracy	12.037665914472914	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 l (*.f64 d d)))
accuracy	13.24376440818251	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
accuracy	8.631826560304365	#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 (.f64 M M) h)) w0) (.f64 l (.f64 d d))))))
accuracy	9.889900786440654	(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 l (.f64 d d)))
accuracy	14.721863349548391	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) w0) (.f64 l (.f64 d d))))
accuracy	41.11170244404759	#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 (.f64 M M) h)) w0) (.f64 l (.f64 d d)))))
accuracy	5.1463855678869175	(sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #s(approx (/ (/ (* M D) (* 2 d)) (/ 1 h)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)) #s(literal 1 binary64)))
accuracy	5.218713299481233	(*.f64 (/.f64 M l) D)
accuracy	5.223575137524361	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
accuracy	5.280428908438886	(.f64 D (.f64 M h))

Samples

381.0ms

256×

valid

Compiler

Compiled 602 to 89 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 323.0ms

ival-mult: 148.0ms (45.8% of total)

ival-div: 111.0ms (34.4% of total)

ival-sqrt: 53.0ms (16.4% of total)

ival-add: 5.0ms (1.5% of total)

ival-sub: 2.0ms (0.6% of total)

ival-pow2: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series180.0ms (1.1%)

Memory

-27.0MiB live, 174.9MiB allocated

Counts

28 → 1 476

Calls

Call 1

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

Outputs
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf M) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf l) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf D) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 d) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 d) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 d) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 d) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf d) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf d) (#s(alt (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (patch (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor 0 D) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor 0 D) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor 0 D) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor inf D) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor inf D) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor inf D) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor inf D) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor -inf D) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor -inf D) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor -inf D) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor -inf D) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor 0 M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor 0 M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor 0 M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor 0 M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor inf M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor inf M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor inf M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor inf M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor -inf M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor -inf M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor -inf M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (* (pow M 2) h)) (taylor -inf M) (#s(alt (.f64 h (.f64 D (.f64 D (.f64 M M)))) (patch (.f64 h (.f64 D (.f64 D (.f64 M M)))) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf h) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf d) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor 0 l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor inf l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ h (* (pow d 2) l))) (taylor -inf l) (#s(alt (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) (patch (/.f64 h (.f64 d (.f64 (.f64 d l) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())

Calls

369 calls:

Time	Variable		Point	Expression
23.0ms	l	@	-inf	(/ (* (/ M l) D) (* d -2))
7.0ms	d	@	inf	(/ h (* d (* (* d l) -4)))
2.0ms	h	@	-inf	(+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* l (* d d)))) 1)
1.0ms	l	@	0	(/ h (* d (* (* d l) -4)))
1.0ms	h	@	0	(/ h (* d (* (* d l) -4)))

simplify386.0ms (2.3%)

Memory

13.0MiB live, 645.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 514×	`lower-*.f64`
8 514×	`lower-*.f32`
6 904×	`lower-fma.f64`
6 904×	`lower-fma.f32`
4 654×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	695	36191
1	2383	36023
0	8540	34991

Stop Event

1×	iter limit
1×	node limit

Counts

1 476 → 1 434

Calls

Call 1

Inputs
(* -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)))
(* -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)))
(* 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 (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))))))))
(* (/ (* 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))))
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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)))
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))))
(+ 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)))))))))
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))))))))
(* (/ (* 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 (* -1/8 (/ (* (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))))
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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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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
(+ 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))))
(+ 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)))))))
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)))
(+ 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 (* -1/8 (/ (* (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)
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1
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1
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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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(* -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))))) (+ (* 1/16 (* (/ (* (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))))))))
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)))
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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)
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w0
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w0
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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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(* 1/2 (/ (* 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))
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(/ (* D M) l)
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))
(* -1/4 (/ h (* (pow d 2) l)))

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

rewrite677.0ms (4%)

Memory

-56.8MiB live, 614.2MiB allocated

Rules

8 518×	`lower-*.f32`
8 462×	`lower-*.f64`
5 294×	`lower-/.f32`
5 280×	`lower-/.f64`
3 776×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	606
0	139	587
1	530	559
2	4352	559
0	11481	554

Stop Event

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

Counts

28 → 534

Calls

Call 1

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

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

eval274.0ms (1.6%)

Memory: 12.3MiB live, 515.5MiB allocated
Compiler: Compiled 62 106 to 2 727 computations (95.6% saved)

prune710.0ms (4.2%)

Memory

5.4MiB live, 915.4MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1 995	19	2 014
Fresh	8	7	15
Picked	4	1	5
Done	1	1	2
Total	2 008	28	2 036

Accuracy

93.8%

Counts

2 036 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.8%	(.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)
	81.2%	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 h (.f64 d (.f64 l (.f64 d #s(literal -4 binary64))))) (.f64 M (*.f64 M D))) D #s(literal 1 binary64))) w0)
	19.6%	(.f64 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (/.f64 #s(literal -1/4 binary64) (.f64 l (*.f64 d d)))))) w0)
	17.6%	(.f64 (sqrt.f64 #s(approx (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (*.f64 d d)))))) w0)
	78.1%	(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.f64 l (.f64 d d)))) D #s(literal 1 binary64))) w0)
	63.5%	(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))) w0)
	16.0%	(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* l (* d d)))) 1) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d)))))) w0)
✓	88.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #s(approx (/ (/ ( M D) (* 2 d)) (/ 1 h)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)) #s(literal 1 binary64))))
	89.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #s(approx (/ (/ ( M D) (* 2 d)) (/ 1 h)) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 M h) d))) #s(literal 1 binary64))))
	82.1%	(.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))))
	83.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 h l) (.f64 M D)) (.f64 d (/.f64 (.f64 d #s(literal 4 binary64)) (.f64 M D)))))))
	20.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/4 binary64))) (.f64 l d)) d))))
	19.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D h) (.f64 M M)) D)) (.f64 (*.f64 d d) l)))))
	22.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D h) (.f64 M D)) M)) (.f64 (*.f64 d d) l)))))
	22.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (.f64 D h)) (.f64 M D))) (.f64 (*.f64 d d) l)))))
✓	68.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	75.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.f64 d (*.f64 d l))) D w0))
	62.3%	#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 (*.f64 d d) l)) w0))
	60.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 d (*.f64 d l)))) w0))
	70.9%	#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) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D (.f64 M M)) D) h) (.f64 l (*.f64 d d))) w0)))
	19.5%	#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 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))))) (*.f64 l d)) d)))
	19.5%	#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 (.f64 D (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))))) (*.f64 d d)) l)))
	18.7%	#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 M (.f64 M w0))))) (.f64 l (.f64 d d))) D)))
	18.8%	#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 D D) (.f64 l d)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (*.f64 M w0)))) d))))
	19.9%	#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 D) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) l) d) d))))
	19.2%	#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 D D) (.f64 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (*.f64 l d)) (/.f64 w0 d)))))
	18.4%	#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 M (.f64 M w0)) (.f64 l (.f64 d d)))))))
	18.3%	#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 w0 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.f64 l (.f64 d d)))))))

Compiler

Compiled 2 173 to 846 computations (61.1% saved)

regimes282.0ms (1.7%)

Memory

-4.2MiB live, 423.2MiB allocated

Counts

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

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:

24.0ms	D
21.0ms	(/.f64 h l)
20.0ms	h
20.0ms	M
20.0ms	(-.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
91.9%	1	`w0`
91.9%	1	`M`
91.9%	1	`D`
91.9%	1	`h`
91.9%	1	`l`
91.9%	1	`d`
91.9%	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)))))`
91.9%	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))))`
91.9%	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)))`
91.9%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
91.9%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
91.9%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
91.9%	1	`(*.f64 M D)`
91.9%	1	`(*.f64 #s(literal 2 binary64) d)`
91.9%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes290.0ms (1.7%)

Memory

4.9MiB live, 482.7MiB allocated

Counts

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

Outputs

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

Calls

15 calls:

27.0ms	(.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)))))
25.0ms	h
23.0ms	d
23.0ms	D
20.0ms	w0

Results

Accuracy	Segments	Branch
90.4%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
90.4%	1	`w0`
90.4%	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)))))`
90.4%	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))))`
90.4%	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)))`
90.4%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
90.4%	1	`M`
90.4%	1	`l`
92.6%	2	`d`
90.4%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
90.4%	1	`(*.f64 M D)`
92.6%	2	`(*.f64 #s(literal 2 binary64) d)`
90.4%	1	`(/.f64 h l)`
90.4%	1	`h`
90.4%	1	`D`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes59.0ms (0.4%)

Memory

19.2MiB live, 101.2MiB allocated

Counts

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

Outputs
(.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))))

Calls

3 calls:

20.0ms	D
20.0ms	(*.f64 #s(literal 2 binary64) d)
17.0ms	d

Results

Accuracy	Segments	Branch
90.4%	1	`D`
90.4%	1	`d`
90.4%	1	`(*.f64 #s(literal 2 binary64) d)`

Compiler

Compiled 23 to 20 computations (13% saved)

regimes288.0ms (1.7%)

Memory

14.4MiB live, 404.0MiB allocated

Counts

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

Outputs

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

Calls

15 calls:

42.0ms	(/.f64 h l)
21.0ms	w0
20.0ms	(*.f64 M D)
20.0ms	d
19.0ms	l

Results

Accuracy	Segments	Branch
89.6%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.6%	1	`M`
89.6%	1	`l`
89.6%	1	`d`
91.9%	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)))))`
91.9%	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))))`
91.9%	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)))`
91.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.6%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
89.6%	1	`(*.f64 M D)`
89.6%	1	`(*.f64 #s(literal 2 binary64) d)`
89.6%	1	`w0`
89.6%	1	`h`
93.0%	3	`(/.f64 h l)`
89.6%	1	`D`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes67.0ms (0.4%)

Memory

-67.4MiB live, 92.5MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

23.0ms	(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))))
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)))))
13.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
12.0ms	(-.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
91.5%	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)))))`
91.5%	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))))`
91.5%	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)))`
91.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 86 to 61 computations (29.1% saved)

regimes219.0ms (1.3%)

Memory

31.2MiB live, 343.4MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

18.0ms	w0
17.0ms	l
16.0ms	d
16.0ms	(*.f64 #s(literal 2 binary64) d)
16.0ms	h

Results

Accuracy	Segments	Branch
88.6%	1	`D`
88.6%	1	`h`
90.2%	2	`(*.f64 M D)`
88.6%	1	`w0`
88.6%	1	`M`
88.6%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
90.2%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.6%	1	`l`
88.6%	1	`d`
88.6%	1	`(*.f64 #s(literal 2 binary64) d)`
90.2%	2	`(/.f64 h l)`
88.6%	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)))))`
90.2%	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))))`
90.2%	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)))`
90.2%	2	`(.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)

regimes250.0ms (1.5%)

Memory

-16.4MiB live, 296.4MiB allocated

Counts

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

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

Calls

15 calls:

23.0ms	(/.f64 h l)
20.0ms	w0
20.0ms	d
17.0ms	(-.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)))
15.0ms	(.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
88.7%	2	`M`
86.8%	1	`l`
86.8%	1	`d`
86.8%	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)))))`
86.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
86.8%	1	`(*.f64 #s(literal 2 binary64) d)`
86.8%	1	`w0`
86.8%	1	`D`
86.8%	1	`h`
88.3%	2	`(/.f64 h l)`
88.4%	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))))`
88.4%	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)))`
86.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.8%	1	`(*.f64 M D)`
88.4%	2	`(.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)

regimes265.0ms (1.6%)

Memory

19.2MiB live, 331.5MiB allocated

Counts

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

Outputs

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

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

Calls

15 calls:

52.0ms	(-.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)))
35.0ms	(/.f64 h l)
19.0ms	D
18.0ms	d
18.0ms	h

Results

Accuracy	Segments	Branch
83.8%	1	`w0`
86.5%	2	`D`
83.8%	1	`l`
83.8%	1	`d`
85.9%	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)))))`
87.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
83.8%	1	`(*.f64 #s(literal 2 binary64) d)`
83.8%	1	`h`
86.9%	2	`(*.f64 M D)`
86.1%	2	`(/.f64 h l)`
88.0%	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))))`
88.0%	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)))`
88.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
86.2%	2	`M`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes33.0ms (0.2%)

Memory

-4.4MiB live, 70.1MiB 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 w0 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.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 M (.f64 M 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 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) 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 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0))))) (.f64 l (.f64 d d))) D)))
(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* l (* d d)))) 1) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d)))))) 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) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D (.f64 M M)) D) h) (.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.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 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.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 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))) w0)
(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.f64 l (.f64 d d)))) D #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 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (*.f64 l d)) (/.f64 w0 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 D) (.f64 l d)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (*.f64 M w0)))) 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 M (.f64 M w0)))))) (*.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 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))))) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d l)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))) d) w0))
(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))) w0)
(.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 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (.f64 D h)) (.f64 M D))) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D h) (.f64 M D)) M)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D h) (.f64 M M)) D)) (.f64 (*.f64 d d) l)))))
(.f64 (sqrt.f64 #s(approx (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (*.f64 d d)))))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (/.f64 #s(literal -1/4 binary64) (.f64 l (*.f64 d d)))))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l)))) D #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D h) (/.f64 (.f64 M M) (.f64 (.f64 d (.f64 d l)) #s(literal -4 binary64)))) D #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/4 binary64))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))) h) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (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))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 h (.f64 d (.f64 l (.f64 d #s(literal -4 binary64))))) (.f64 M (*.f64 M D))) D #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 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) l) d) d))))

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

Calls

3 calls:

11.0ms

(-.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)))

9.0ms

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

9.0ms

(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
88.0%	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))))`
88.0%	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)))`
87.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 62 to 44 computations (29% saved)

regimes77.0ms (0.5%)

Memory

15.4MiB live, 99.4MiB 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 w0 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.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 M (.f64 M 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 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) 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 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0))))) (.f64 l (.f64 d d))) D)))
(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* l (* d d)))) 1) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d)))))) 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) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D (.f64 M M)) D) h) (.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.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 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.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 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))) w0)
(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.f64 l (.f64 d d)))) D #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 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (*.f64 l d)) (/.f64 w0 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 D) (.f64 l d)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (*.f64 M w0)))) 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 M (.f64 M w0)))))) (*.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 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))))) (*.f64 l d)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) (.f64 d l)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M)))) d) w0))
(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (*.f64 l d)) (/.f64 h d)) #s(literal 1 binary64))) w0)
(.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 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (.f64 D h)) (.f64 M D))) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D h) (.f64 M D)) M)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 D h) (.f64 M M)) D)) (.f64 (*.f64 d d) l)))))
(.f64 (sqrt.f64 #s(approx (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (*.f64 d d)))))) w0)
(.f64 (sqrt.f64 #s(approx (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (/.f64 #s(literal -1/4 binary64) (.f64 l (*.f64 d d)))))) w0)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l)))) D #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D h) (/.f64 (.f64 M M) (.f64 (.f64 d (.f64 d l)) #s(literal -4 binary64)))) D #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/4 binary64))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) w0)

Outputs

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

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

Calls

6 calls:

29.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
12.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
9.0ms	(*.f64 M D)
9.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) 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)))

Results

Accuracy	Segments	Branch
83.9%	2	`(*.f64 M D)`
84.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
86.6%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
87.1%	3	`(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))))`
87.1%	3	`(-.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 99 to 72 computations (27.3% saved)

regimes153.0ms (0.9%)

Memory

16.6MiB live, 176.9MiB allocated

Counts

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

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

Calls

15 calls:

31.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
22.0ms	(*.f64 #s(literal 2 binary64) d)
17.0ms	D
9.0ms	(.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)))))
7.0ms	h

Results

Accuracy	Segments	Branch
82.2%	2	`(*.f64 M D)`
83.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.3%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.1%	1	`w0`
78.1%	1	`h`
78.1%	1	`d`
78.1%	1	`(*.f64 #s(literal 2 binary64) d)`
78.1%	1	`l`
83.3%	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))))`
83.3%	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)))`
83.2%	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)))))`
80.9%	2	`(/.f64 h l)`
82.2%	2	`M`
81.0%	2	`D`
83.6%	2	`(.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)

regimes8.0ms (0%)

Memory

-26.2MiB live, 10.0MiB 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 w0 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.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 M (.f64 M 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 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) 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 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0))))) (.f64 l (.f64 d d))) D)))
(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) #s(approx (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* l (* d d)))) 1) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d)))))) 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) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D (.f64 M M)) D) h) (.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.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 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 w0 (.f64 M M))))) (.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 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( (/ h l) (* M D)) (/ (* (* d d) 4) (* M D))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))) w0)
(.f64 #s(approx (sqrt (+ ( (/ (* (* M D) (* M D)) (* (* l (* d -2)) (* 2 d))) h) 1)) (fma.f64 (.f64 D (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.f64 l (.f64 d d)))) D #s(literal 1 binary64))) 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 (*.f64 h (*.f64 M w0)) M)) (*.f64 (*.f64 d d) l)) w0))

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
83.5%	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)

regimes20.0ms (0.1%)

Memory

9.4MiB live, 46.1MiB allocated

Counts

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

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

Calls

6 calls:

5.0ms	(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))))
3.0ms	(.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)))))
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
82.8%	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)))))`
82.8%	3	`(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))))`
82.8%	3	`(-.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)))`
81.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 114 to 82 computations (28.1% saved)

regimes48.0ms (0.3%)

Memory

-5.2MiB live, 43.0MiB 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:

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	(*.f64 #s(literal 2 binary64) d)
1.0ms	w0
1.0ms	M

Results

Accuracy	Segments	Branch
68.5%	1	`d`
68.5%	1	`(*.f64 #s(literal 2 binary64) d)`
68.5%	1	`w0`
68.5%	1	`h`
68.5%	1	`l`
68.5%	1	`(/.f64 h l)`
68.5%	1	`D`
68.5%	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)))))`
68.5%	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))))`
68.5%	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)))`
68.5%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
68.5%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
68.5%	1	`M`
68.5%	1	`(*.f64 M D)`
68.5%	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	2.7849695925771276e+153	4.15194766320916e+154

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3282481575666528e-118	-1.526825434194376e-124

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0528395353957397e-54	5.369407607426427e-27

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.9022709097377544e+30	-1051971600838.6912

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch49.0ms (0.3%)

Memory

-15.5MiB live, 20.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.449754795344285e+20	6.778643903008287e+21

Samples

10.0ms	112×	0	valid
2.0ms	18×	0	invalid

Compiler

Compiled 426 to 285 computations (33.1% saved)

Precisions

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

ival-mult: 3.0ms (40% of total)

ival-div: 2.0ms (26.7% of total)

ival-sub: 1.0ms (13.3% of total)

ival-sqrt: 1.0ms (13.3% of total)

ival-pow2: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.9022709097377544e+30	-1051971600838.6912

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1051971600839.6912	4.9022709097377544e+30

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	-2.492986058342239e+51	-1.9364738155957287e+33

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	-2.8529052522842084e+85	-6.0192393381216824e+82

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.9364738155957287e+33	-4.9022709097377544e+30

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.8529052522842084e+85	-6.0192393381216824e+82

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify28.0ms (0.2%)

Memory

11.7MiB live, 47.0MiB allocated

Algorithm

1×	egg-herbie

Rules

164×	`*-commutative_binary64`
142×	`neg-mul-1_binary64`
102×	`unsub-neg_binary64`
76×	`distribute-lft-neg-in_binary64`
76×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	854
1	280	854
2	318	854
3	358	854
4	406	854
5	434	854
6	452	854
7	551	854
8	695	854

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))))
(if (<=.f64 (.f64 #s(literal 2 binary64) d) #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 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 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))))))
(.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))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 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 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #s(approx (/ (/ (* M D) (* 2 d)) (/ 1 h)) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 M h) 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 1725436586697641/862718293348820473429344482784628181556388621521298319395315527974912 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l)))) 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 -4000000000000000079538499354624 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) h) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 M #s(literal 510000000000000000000 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 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D h) (/.f64 (.f64 M M) (.f64 (.f64 d (.f64 d l)) #s(literal -4 binary64)))) 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 -4000000000000000079538499354624 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (neg.f64 (.f64 M D)) #s(literal 1 binary64))) w0) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.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(literal 2000000000000 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 M D) (.f64 (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))) h) #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 -1999999999999999986441897348723255952923416883888128 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (.f64 D h)) (.f64 M D))) (.f64 (.f64 d 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 -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 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 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.f64 l d)) (/.f64 w0 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 -999999999999999945575230987042816 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 (.f64 d 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 -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 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 w0 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.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))))
(if (<=.f64 (.f64 #s(literal 2 binary64) d) #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 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 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))))))
(if (<=.f64 (.f64 d #s(literal 2 binary64)) #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (neg.f64 l)) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal -1 binary64) h)))))))
(.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 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (neg.f64 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 -4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 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 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) #s(approx (/ (/ (* M D) (* 2 d)) (/ 1 h)) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 M h) d))) #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 -4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.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 D (/.f64 M l)) (.f64 d #s(literal -2 binary64))) #s(approx (/ (/ (* M D) (* 2 d)) (/ 1 h)) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 M h) 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 1725436586697641/862718293348820473429344482784628181556388621521298319395315527974912 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l)))) D #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 1725436586697641/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l)))) 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 -4000000000000000079538499354624 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d) h) #s(literal 1 binary64)))) (.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 -4000000000000000079538499354624 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 (.f64 d #s(literal -2 binary64)) l)) (.f64 h (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) d)) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 M #s(literal 510000000000000000000 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 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D h) (/.f64 (.f64 M M) (.f64 (.f64 d (.f64 d l)) #s(literal -4 binary64)))) D #s(literal 1 binary64))))))
(if (<=.f64 M #s(literal 510000000000000000000 binary64)) (.f64 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)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 D h) (/.f64 (.f64 M M) (.f64 (.f64 d (.f64 d l)) #s(literal -4 binary64)))) 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 -4000000000000000079538499354624 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (neg.f64 (.f64 M D)) #s(literal 1 binary64))) 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 -4000000000000000079538499354624 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) (neg.f64 (.f64 M D)) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.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(literal 2000000000000 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 M D) (.f64 (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64)))) h) #s(literal 1 binary64))) w0))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 2000000000000 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 M D) (.f64 h (/.f64 (.f64 M D) (.f64 d (.f64 (*.f64 d l) #s(literal -4 binary64))))) #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 -1999999999999999986441897348723255952923416883888128 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M (.f64 D h)) (.f64 M D))) (.f64 (.f64 d 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 -1999999999999999986441897348723255952923416883888128 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (/ h l) (* M D)) (/ (* (* d d) 4) (* M D)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M D) (.f64 M (.f64 D h)))) (.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 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 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 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.f64 l d)) (/.f64 w0 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 -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 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 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.f64 d l)) (/.f64 w0 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 -999999999999999945575230987042816 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 (.f64 d 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 -999999999999999945575230987042816 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 l (.f64 d d))) 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 -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 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 w0 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.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 -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 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 w0 (/.f64 (.f64 M (.f64 (.f64 M h) #s(literal -1/8 binary64))) (.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)))

soundness1.9s (11.4%)

Memory

21.1MiB live, 1 603.3MiB allocated

Rules

10 592×	`lower-*.f64`
10 592×	`lower-*.f32`
10 408×	`lower-*.f64`
10 408×	`lower-*.f32`
8 912×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	656	37103
1	2273	36831
0	8166	35741
0	682	36448
1	2356	36256
0	8499	35179
0	628	8158
1	2189	8136
0	8486	7930
0	94	606
0	139	587
1	530	559
2	4352	559
0	11481	554
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78
0	58	471
0	97	462
1	350	429
2	3494	429
0	8173	429
0	70	537
0	118	525
1	418	490
2	3287	490
0	8744	486

Stop Event

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

Compiler

Compiled 1 531 to 800 computations (47.7% saved)

preprocess342.0ms (2%)

Memory: 4.5MiB live, 473.6MiB allocated
Remove: (negabs w0)
Compiler: Compiled 4 440 to 2 194 computations (50.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	198	854
1	280	854
2	318	854
3	358	854
4	406	854
5	434	854
6	452	854
7	551	854
8	695	854

Iter	Nodes	Cost
0	198	854
1	280	854
2	318	854
3	358	854
4	406	854
5	434	854
6	452	854
7	551	854
8	695	854

start0.0ms (0%)

analyze490.0ms (2.9%)

sample2.2s (13.2%)

explain246.0ms (1.5%)

preprocess357.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify239.0ms (1.4%)

localize78.0ms (0.5%)

series110.0ms (0.7%)

simplify318.0ms (1.9%)

rewrite279.0ms (1.7%)

eval136.0ms (0.8%)

prune194.0ms (1.2%)

simplify150.0ms (0.9%)

localize162.0ms (1%)

series157.0ms (0.9%)

simplify825.0ms (4.9%)

rewrite254.0ms (1.5%)

eval419.0ms (2.5%)

prune492.0ms (2.9%)

simplify165.0ms (1%)

localize232.0ms (1.4%)

series150.0ms (0.9%)

simplify423.0ms (2.5%)

rewrite457.0ms (2.7%)

eval308.0ms (1.8%)

prune568.0ms (3.4%)

simplify186.0ms (1.1%)

localize542.0ms (3.2%)

series180.0ms (1.1%)

simplify386.0ms (2.3%)

rewrite677.0ms (4%)

eval274.0ms (1.6%)

prune710.0ms (4.2%)

regimes282.0ms (1.7%)

regimes290.0ms (1.7%)

regimes59.0ms (0.4%)

regimes288.0ms (1.7%)

regimes67.0ms (0.4%)

regimes219.0ms (1.3%)

regimes250.0ms (1.5%)

regimes265.0ms (1.6%)

regimes33.0ms (0.2%)

regimes77.0ms (0.5%)

regimes153.0ms (0.9%)

regimes8.0ms (0%)

regimes20.0ms (0.1%)

regimes48.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch49.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.2%)

soundness1.9s (11.4%)

preprocess342.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	198	854
1	280	854
2	318	854
3	358	854
4	406	854
5	434	854
6	452	854
7	551	854
8	695	854