Metrics for Henrywood and Agarwal, Equation (9a)

analyze573.0ms (4%)

Memory

11.2MiB live, 835.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 20 to 19 computations (5% saved)

sample1.9s (13.5%)

Memory

48.2MiB live, 3 196.9MiB allocated

Samples

1.1s	8 256×	0	valid
293.0ms	2 823×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 861.0ms

ival-mult: 344.0ms (39.9% of total)

ival-div: 177.0ms (20.5% of total)

ival-pow2: 135.0ms (15.7% of total)

ival-sqrt: 118.0ms (13.7% of total)

ival-sub: 62.0ms (7.2% of total)

exact: 12.0ms (1.4% of total)

ival-true: 9.0ms (1% of total)

ival-assert: 5.0ms (0.6% of total)

Bogosity

preprocess267.0ms (1.8%)

Memory

-1.1MiB live, 398.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

explain228.0ms (1.6%)

Memory

14.3MiB live, 483.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
48	-	2	(6.461071045064664e-55 4.0062465920988586e-154 0.007499847269278033 -6.331719872744067e+162 -3.3202641930995775e-43 12323.629277410202)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
16	-	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))))`
15	-	0	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
8	-	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	16	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	52
↳	`(-.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	44
↳	`(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	28
↳	`(*.f64 M D)`	overflow	19
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	36
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	44
↳	`(/.f64 h l)`	overflow	18
`*.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**	8	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	6	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	52
↳	`(*.f64 M D)`	overflow	19
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	36
↳	`(/.f64 h l)`	underflow	40
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	6	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	5	0
↳	`(*.f64 M D)`	overflow	19
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	38

Confusion

	Predicted +	Predicted -
+	29	12
-	8	207

Precision

0.7837837837837838

Recall

0.7073170731707317

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	29	0	12
-	8	0	207

Precision?

0.7837837837837838

Recall?

0.7073170731707317

Freqs

test

number	freq
0	219
1	32
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 242 to 72 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 13.0ms (40% of total)

ival-div: 8.0ms (24.6% of total)

ival-pow2: 5.0ms (15.4% of total)

ival-sqrt: 4.0ms (12.3% of total)

ival-sub: 2.0ms (6.2% of total)

ival-true: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.2%	(.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)))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify245.0ms (1.7%)

Memory

-78.6MiB live, 295.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (0.3%)

Memory

32.7MiB live, 71.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.0%	(.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)))))
✓	accuracy	94.3%	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	accuracy	94.2%	(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))))
✓	accuracy	82.1%	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

29.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

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

ival-mult: 6.0ms (38.4% of total)

ival-div: 4.0ms (25.6% of total)

ival-sqrt: 2.0ms (12.8% of total)

ival-pow2: 2.0ms (12.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series65.0ms (0.4%)

Memory

5.2MiB live, 122.0MiB allocated

Counts

6 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
4.0ms	l	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
4.0ms	D	@	0	(* (pow (/ (* M D) (* 2 d)) 2) (/ h l))
3.0ms	D	@	0	(pow (/ (* M D) (* 2 d)) 2)
3.0ms	h	@	inf	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
3.0ms	w0	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))

rewrite335.0ms (2.3%)

Memory

-6.8MiB live, 505.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 689

Calls

Call 1

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

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

simplify412.0ms (2.8%)

Memory

-15.4MiB live, 705.4MiB 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))))))
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w0
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(+ 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)))))))
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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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(+ 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)))))))))
(* (/ (* 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 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))

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

eval131.0ms (0.9%)

Memory: 29.4MiB live, 295.7MiB allocated
Compiler: Compiled 31 000 to 4 380 computations (85.9% saved)

prune166.0ms (1.1%)

Memory

1.9MiB live, 365.6MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	992	14	1 006
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	993	14	1 007

Accuracy

93.0%

Counts

1 007 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.2%	(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)
	60.5%	(.f64 w0 (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)))
▶	91.0%	(.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))))
	85.4%	(.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))))
▶	81.8%	(.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))))
	81.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (neg.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)) #s(literal 1 binary64))))
	63.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
▶	14.2%	(.f64 w0 (sqrt.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))))
	70.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) d) (.f64 (/.f64 l h) d)))))
▶	74.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
	74.3%	(.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))))))
	83.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d))))) #s(literal 2 binary64)) (/.f64 h l)))))
	73.6%	(.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)))))
▶	71.0%	(*.f64 w0 #s(literal 1 binary64))

Compiler

Compiled 744 to 496 computations (33.3% saved)

simplify359.0ms (2.5%)

Memory

-18.2MiB live, 348.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
✓	cost-diff	384	(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
✓	cost-diff	512	(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) l)))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) l))
✓	cost-diff	384	(/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) l)
✓	cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (*.f64 M M) h))
✓	cost-diff	0	(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
✓	cost-diff	0	(sqrt.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))))
✓	cost-diff	320	(*.f64 w0 #s(literal 1 binary64))
✓	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	384	(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))

Rules

9 998×	`lower-*.f32`
9 954×	`lower-*.f64`
2 160×	`lower-/.f32`
2 144×	`lower-/.f64`
1 750×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	455
0	91	453
1	194	453
2	767	449
3	5519	449
0	8185	440

Stop Event

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

Calls

Call 1

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

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

localize328.0ms (2.3%)

Memory

2.9MiB live, 273.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.9%	(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
✓	accuracy	94.2%	(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
✓	accuracy	89.8%	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
✓	accuracy	86.7%	(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
✓	accuracy	96.6%	(.f64 h (.f64 M (.f64 D (.f64 M D))))
✓	accuracy	94.2%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) l)))
✓	accuracy	93.0%	(/.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) l)
✓	accuracy	86.2%	(/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64)))
✓	accuracy	88.8%	(.f64 (.f64 d d) l)
✓	accuracy	88.2%	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (*.f64 M M) h))
✓	accuracy	84.9%	(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
✓	accuracy	83.9%	(sqrt.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))
✓	accuracy	100.0%	(*.f64 w0 #s(literal 1 binary64))
✓	accuracy	95.7%	(/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
✓	accuracy	95.1%	(.f64 (.f64 M D) h)
✓	accuracy	94.2%	(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	93.7%	(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))

Samples

88.0ms	165×	0	valid
88.0ms	91×	0	invalid

Compiler

Compiled 463 to 54 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-div: 45.0ms (38.4% of total)

ival-sqrt: 33.0ms (28.2% of total)

ival-mult: 32.0ms (27.3% of total)

ival-add: 2.0ms (1.7% of total)

ival-neg: 2.0ms (1.7% of total)

ival-sub: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series208.0ms (1.4%)

Memory

36.5MiB live, 154.7MiB allocated

Counts

23 → 1 212

Calls

Call 1

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

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

Calls

303 calls:

Time	Variable		Point	Expression
45.0ms	d	@	inf	(* w0 (sqrt (/ (* (* -1/4 (* D D)) (* (* M M) h)) (* (* d d) l))))
25.0ms	h	@	inf	(* (* M D) h)
14.0ms	h	@	-inf	(* h (* M (* D (* M D))))
7.0ms	h	@	0	(/ (/ (* (* M D) h) (* 2 d)) (neg l))
2.0ms	w0	@	0	(* w0 (sqrt (/ (* (* -1/4 (* D D)) (* (* M M) h)) (* (* d d) l))))

rewrite442.0ms (3.1%)

Memory

-16.6MiB live, 457.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 500×	`lower-/.f32`
6 484×	`lower-/.f64`
4 002×	`lower-*.f32`
3 958×	`lower-*.f64`
2 394×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	347
0	91	345
1	291	321
2	2462	308
0	9084	305

Stop Event

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

Counts

23 → 788

Calls

Call 1

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

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

simplify642.0ms (4.4%)

Memory

4.5MiB live, 571.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 310×	`lower-*.f64`
8 310×	`lower-*.f32`
6 416×	`lower-fma.f64`
6 416×	`lower-fma.f32`
4 594×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	657	26618
1	2275	26570
0	8300	25907

Stop Event

1×	iter limit
1×	node limit

Counts

1 212 → 1 179

Calls

Call 1

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

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

eval380.0ms (2.6%)

Memory: 44.0MiB live, 450.4MiB allocated
Compiler: Compiled 58 698 to 4 258 computations (92.7% saved)

prune200.0ms (1.4%)

Memory

-44.4MiB live, 447.0MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	1 952	15	1 967
Fresh	5	4	9
Picked	5	0	5
Done	0	0	0
Total	1 962	19	1 981

Accuracy

94.8%

Counts

1 981 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M M)) w0)) (.f64 l (*.f64 d d))) w0)
	61.2%	(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)
	60.5%	(.f64 w0 (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)))
	15.8%	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 h (/.f64 (.f64 M M) l)))) d))
	86.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (.f64 D h) d)) (neg.f64 l)) #s(literal 1 binary64))))
▶	87.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 D M) h)) (*.f64 d l)) #s(literal 1 binary64))))
	83.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 M (/.f64 (.f64 D h) (neg.f64 (.f64 l (*.f64 #s(literal 2 binary64) d))))) #s(literal 1 binary64))))
▶	80.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) #s(literal 1 binary64))))
	81.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (.f64 (neg.f64 (/.f64 h l)) (/.f64 (.f64 D (.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)) #s(literal 1 binary64))))
	82.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (neg.f64 (.f64 D (/.f64 h (.f64 d l)))) #s(literal 1 binary64))))
	83.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
	16.1%	(.f64 w0 (sqrt.f64 (/.f64 (.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D #s(literal -1/4 binary64))) D) (.f64 (.f64 d d) l))))
	83.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d))))) #s(literal 2 binary64)) (/.f64 h l)))))
	73.6%	(.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)))))
	15.7%	(.f64 w0 (sqrt.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) (.f64 d d)) (/.f64 (.f64 D (*.f64 D #s(literal -1/4 binary64))) l))))
▶	18.7%	(.f64 w0 (sqrt.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) d) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))))
	19.4%	(.f64 w0 (sqrt.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 M (.f64 M h)) (.f64 d (.f64 d l)))))))
▶	17.8%	(.f64 w0 (sqrt.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M (.f64 D D)))) (/.f64 h (.f64 d (.f64 d l))))))
▶	71.0%	w0

Compiler

Compiled 994 to 662 computations (33.4% saved)

simplify388.0ms (2.7%)

Memory

-25.7MiB live, 358.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 D (.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)
✓	cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 (.f64 D h) (*.f64 d (neg.f64 l))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) #s(literal 1 binary64))))
✓	cost-diff	512	(fma.f64 (/.f64 (.f64 D (.f64 (.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 (.f64 D h) (*.f64 d (neg.f64 l))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (.f64 M (.f64 M h)) d)
✓	cost-diff	0	(sqrt.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) d) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d l))))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) d) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))))
✓	cost-diff	384	(.f64 (/.f64 (.f64 M (.f64 M h)) d) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d l)))
✓	cost-diff	0	(.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M (.f64 D D))))
✓	cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M (.f64 D D)))) (/.f64 h (.f64 d (*.f64 d l))))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M (.f64 D D)))) (/.f64 h (.f64 d (*.f64 d l)))))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M (.f64 D D)))) (/.f64 h (.f64 d (.f64 d l))))))
✓	cost-diff	0	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 D M) h)) (.f64 d 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 #s(literal -1/2 binary64) (.f64 (.f64 D M) h)) (*.f64 d l)) #s(literal 1 binary64))))
✓	cost-diff	704	(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 D M) h)) (.f64 d l)) #s(literal 1 binary64))

Rules

8 334×	`lower-*.f32`
8 284×	`lower-*.f64`
2 784×	`lower-/.f32`
2 770×	`lower-/.f64`
2 142×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	424
0	93	424
1	192	424
2	618	421
3	3796	421
4	5155	421
0	8028	415

Stop Event

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

Calls

Call 1

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

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

localize303.0ms (2.1%)

Memory

8.5MiB live, 285.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.2%	(sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 (.f64 D h) (*.f64 d (neg.f64 l))) #s(literal 1 binary64)))
✓	accuracy	94.1%	(.f64 D (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
✓	accuracy	93.4%	(/.f64 (.f64 D (.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)
✓	accuracy	91.3%	(/.f64 (.f64 D h) (.f64 d (neg.f64 l)))
✓	accuracy	94.9%	(.f64 w0 (sqrt.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) d) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (*.f64 d l)))))
✓	accuracy	89.4%	(/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (*.f64 d l))
✓	accuracy	88.7%	(.f64 (/.f64 (.f64 M (.f64 M h)) d) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d l)))
✓	accuracy	83.9%	(sqrt.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) d) (/.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 d l))))
✓	accuracy	93.6%	(.f64 M (.f64 D D))
✓	accuracy	90.7%	(/.f64 h (.f64 d (.f64 d l)))
✓	accuracy	86.1%	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M (.f64 D D)))) (/.f64 h (.f64 d (*.f64 d l))))
✓	accuracy	83.9%	(sqrt.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M (.f64 D D)))) (/.f64 h (.f64 d (*.f64 d l)))))
✓	accuracy	96.2%	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	accuracy	95.1%	(.f64 (.f64 D M) h)
✓	accuracy	94.2%	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 D M) h)) (.f64 d l)) #s(literal 1 binary64)))
✓	accuracy	91.5%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 D M) h)) (.f64 d l))

Samples

132.0ms	165×	0	valid
86.0ms	91×	0	invalid

Compiler

Compiled 432 to 55 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 157.0ms (87.4% of total)

ival-div: 12.0ms (6.7% of total)

ival-sqrt: 6.0ms (3.3% of total)

ival-add: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series90.0ms (0.6%)

Memory

15.2MiB live, 95.6MiB allocated

Counts

23 → 1 164

Calls

Call 1

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

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

Calls

291 calls:

Time	Variable		Point	Expression
9.0ms	D	@	0	(* w0 (sqrt (+ (* (/ (* D (* (* M M) 1/4)) d) (/ (* D h) (* d (neg l)))) 1)))
1.0ms	D	@	0	(/ (* D (* D -1/4)) (* d l))
1.0ms	l	@	0	(/ (* D (* D -1/4)) (* d l))
1.0ms	d	@	0	(/ (* D (* D -1/4)) (* d l))
1.0ms	h	@	-inf	(/ h (* d (* d l)))

rewrite559.0ms (3.9%)

Memory

-12.3MiB live, 586.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 628×	`lower-/.f32`
5 614×	`lower-/.f64`
4 436×	`lower-*.f32`
4 384×	`lower-*.f64`
2 590×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	319
0	93	319
1	281	311
2	2061	309
0	8439	309

Stop Event

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

Counts

23 → 966

Calls

Call 1

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

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

simplify471.0ms (3.3%)

Memory

2.3MiB live, 1 274.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 820×	`lower-*.f64`
10 820×	`lower-*.f32`
9 002×	`lower-fma.f64`
9 002×	`lower-fma.f32`
2 808×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	645	21810
1	2240	21730
0	8617	21288

Stop Event

1×	iter limit
1×	node limit

Counts

1 164 → 1 150

Calls

Call 1

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

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

eval253.0ms (1.7%)

Memory: 28.1MiB live, 728.7MiB allocated
Compiler: Compiled 56 605 to 4 680 computations (91.7% saved)

prune242.0ms (1.7%)

Memory

8.2MiB live, 611.6MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	2 105	11	2 116
Fresh	5	9	14
Picked	3	2	5
Done	0	0	0
Total	2 113	22	2 135

Accuracy

96.3%

Counts

2 135 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h (.f64 M M)) w0)) (.f64 l (*.f64 d d))) w0)
	63.9%	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 (.f64 M M) w0))) (.f64 d (*.f64 d l))) w0)
	61.2%	(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)
▶	22.7%	(.f64 (.f64 (fabs.f64 (.f64 M D)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 h (.f64 d (.f64 d l)))))) w0)
	75.3%	(.f64 (sqrt.f64 (fma.f64 (.f64 M (.f64 (.f64 M #s(literal 1/4 binary64)) D)) (/.f64 (.f64 D h) (.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
▶	64.0%	(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 d (*.f64 d l))) #s(literal 1 binary64)))
	8.5%	(.f64 w0 (/.f64 (.f64 (fabs.f64 (.f64 M D)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) h))) (sqrt.f64 (.f64 d (.f64 d l)))))
	19.3%	(.f64 w0 (/.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) d) (.f64 D (.f64 D #s(literal -1/4 binary64)))) l)) (sqrt.f64 d)))
▶	15.8%	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 h (/.f64 (.f64 M M) l)))) d))
	82.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) d) (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) #s(literal 1 binary64))))
▶	86.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (.f64 D h) d)) (neg.f64 l)) #s(literal 1 binary64))))
✓	87.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 D M) h)) (*.f64 d l)) #s(literal 1 binary64))))
	80.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) (/.f64 D d)) #s(literal 1 binary64))))
	83.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 M #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
	18.4%	(.f64 w0 (sqrt.f64 (/.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) d) (.f64 D (.f64 D #s(literal -1/4 binary64)))) (*.f64 d l))))
	16.1%	(.f64 w0 (sqrt.f64 (/.f64 (.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D #s(literal -1/4 binary64))) D) (.f64 (.f64 d d) l))))
	83.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d))))) #s(literal 2 binary64)) (/.f64 h l)))))
▶	73.6%	(.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)))))
	20.9%	(.f64 w0 (sqrt.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) d) (.f64 (/.f64 (.f64 D #s(literal -1/4 binary64)) l) (/.f64 D d)))))
	19.4%	(.f64 w0 (sqrt.f64 (.f64 (.f64 D #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 M (.f64 M h)) (.f64 d (.f64 d l)))))))
	19.2%	(.f64 w0 (sqrt.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 (.f64 M D) D))) (/.f64 h (.f64 d (.f64 d l))))))
✓	71.0%	w0

Compiler

Compiled 1 098 to 732 computations (33.3% saved)

simplify197.0ms (1.4%)

Memory

-2.6MiB live, 397.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
✓	cost-diff	384	(.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
✓	cost-diff	0	(.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 h (/.f64 (*.f64 M M) l)))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 h (/.f64 (*.f64 M M) l))))
✓	cost-diff	0	(/.f64 (sqrt.f64 (.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 h (/.f64 (*.f64 M M) l)))) d)
✓	cost-diff	0	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 h (/.f64 (.f64 M M) l)))) d))
✓	cost-diff	0	(*.f64 M D)
✓	cost-diff	0	(fabs.f64 (*.f64 M D))
✓	cost-diff	0	(.f64 (fabs.f64 (.f64 M D)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 h (.f64 d (*.f64 d l))))))
✓	cost-diff	0	(.f64 (.f64 (fabs.f64 (.f64 M D)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 h (.f64 d (.f64 d l)))))) w0)
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 d (*.f64 d l)))
✓	cost-diff	0	(*.f64 D D)
✓	cost-diff	0	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 d (.f64 d l))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 d (*.f64 d l))) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D h) 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 M #s(literal 1/2 binary64)) (/.f64 (.f64 D h) d)) (neg.f64 l)) #s(literal 1 binary64))))
✓	cost-diff	256	(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D h) d)) (neg.f64 l)) #s(literal 1 binary64))
✓	cost-diff	512	(/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D h) d)) (neg.f64 l))

Rules

8 164×	`lower-*.f32`
8 112×	`lower-*.f64`
3 636×	`lower-/.f32`
3 618×	`lower-/.f64`
1 392×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	501
0	102	501
1	218	501
2	746	497
3	4915	497
0	8058	491

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (1.3%)

Memory

-7.7MiB live, 431.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.5%	(.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64))))
✓	accuracy	94.2%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
✓	accuracy	89.6%	(/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))
✓	accuracy	87.1%	(.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
✓	accuracy	93.1%	(.f64 h (/.f64 (.f64 M M) l))
✓	accuracy	92.1%	(/.f64 (*.f64 M M) l)
✓	accuracy	87.2%	(.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 h (/.f64 (*.f64 M M) l)))
✓	accuracy	80.2%	(sqrt.f64 (.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 h (/.f64 (*.f64 M M) l))))
✓	accuracy	94.9%	(.f64 (.f64 (fabs.f64 (.f64 M D)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 h (.f64 d (.f64 d l)))))) w0)
✓	accuracy	93.9%	(.f64 (fabs.f64 (.f64 M D)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 h (.f64 d (*.f64 d l))))))
✓	accuracy	90.7%	(/.f64 h (.f64 d (.f64 d l)))
✓	accuracy	82.6%	(sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 h (.f64 d (*.f64 d l)))))
✓	accuracy	98.5%	(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 d (*.f64 d l))) #s(literal 1 binary64)))
✓	accuracy	92.3%	(.f64 (.f64 M M) h)
✓	accuracy	89.5%	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 d (.f64 d l))) #s(literal 1 binary64))
✓	accuracy	87.5%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 d (*.f64 d l)))
✓	accuracy	96.2%	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	accuracy	95.5%	(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D h) d))
✓	accuracy	94.2%	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D h) d)) (neg.f64 l)) #s(literal 1 binary64)))
✓	accuracy	93.7%	(/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D h) d)) (neg.f64 l))

Samples

72.0ms	165×	0	valid
36.0ms	91×	0	invalid

Compiler

Compiled 508 to 60 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 39.0ms (55.2% of total)

ival-div: 18.0ms (25.5% of total)

ival-sqrt: 6.0ms (8.5% of total)

ival-add: 2.0ms (2.8% of total)

ival-fabs: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series103.0ms (0.7%)

Memory

-3.2MiB live, 233.2MiB allocated

Counts

29 → 1 416

Calls

Call 1

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

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

Calls

354 calls:

Time	Variable		Point	Expression
3.0ms	D	@	inf	(* (* (fabs (* M D)) (sqrt (* -1/4 (/ h (* d (* d l)))))) w0)
2.0ms	d	@	0	(* (fabs (* M D)) (sqrt (* -1/4 (/ h (* d (* d l))))))
2.0ms	h	@	-inf	(* w0 (+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* d (* d l)))) 1))
2.0ms	D	@	0	(* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))
2.0ms	l	@	0	(+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* d (* d l)))) 1)

rewrite279.0ms (1.9%)

Memory

19.5MiB live, 470.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 316×	`lower-*.f32`
6 264×	`lower-*.f64`
3 776×	`lower-/.f32`
3 758×	`lower-/.f64`
2 092×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	383
0	102	383
1	322	373
2	2305	367
0	8244	364

Stop Event

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

Counts

29 → 625

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (neg.f64 l) (.f64 M (.f64 #s(literal 1/2 binary64) (*.f64 D h)))) d)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 d l)))
(neg.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 d l)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (*.f64 h (/.f64 D d)))) (neg.f64 l))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 l) (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h)))) d))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 l) (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h)))) d) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 M) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D h)) d)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (neg.f64 l) (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h)))) d)))
(/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) #s(literal 1 binary64)) (neg.f64 l))
(/.f64 (.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) #s(literal 1 binary64)) (*.f64 d (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (neg.f64 M) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D h)) d))) (neg.f64 l))
(/.f64 (.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (/.f64 #s(literal -1 binary64) l)) d)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (*.f64 h (/.f64 D d)))) #s(literal -1 binary64)) l)
(pow.f64 (.f64 (/.f64 (neg.f64 l) (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h)))) d) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 (neg.f64 l) (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h)))) d) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 M (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 D h) (.f64 (neg.f64 l) d))))
(.f64 M (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D h)) d) (/.f64 #s(literal -1 binary64) l)))
(.f64 M (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D h)) d) (neg.f64 l)))
(.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 (.f64 D h) (.f64 (neg.f64 l) d))))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (.f64 D h) (.f64 (neg.f64 l) d)))
(.f64 (.f64 h (/.f64 D d)) (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) l)))
(.f64 (.f64 h (/.f64 D d)) (/.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 l)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (/.f64 #s(literal -1 binary64) l))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (*.f64 (neg.f64 l) d)))
(.f64 (.f64 (neg.f64 M) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D h)) d)) (/.f64 #s(literal 1 binary64) l))
(.f64 (/.f64 #s(literal -1 binary64) l) (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))))
(.f64 (/.f64 #s(literal -1 binary64) l) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d))))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (*.f64 d l)))
(.f64 (/.f64 (.f64 D h) (.f64 (neg.f64 l) d)) (.f64 M #s(literal 1/2 binary64)))
(.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D h)) d) l))
(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 h (/.f64 D d)) l))
(.f64 (/.f64 (.f64 h (/.f64 D d)) #s(literal -1 binary64)) (/.f64 (*.f64 M #s(literal 1/2 binary64)) l))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 l (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D h)) d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 M #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 h (/.f64 D d))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 h (/.f64 D d))) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 M #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 l) (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (neg.f64 (.f64 (*.f64 d #s(literal 2 binary64)) l))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (neg.f64 (.f64 (*.f64 d #s(literal 2 binary64)) l))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D))) (.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (.f64 (.f64 d #s(literal 2 binary64)) l))) (fma.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 M (.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d))) #s(literal 1 binary64))
(fma.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 D h) (.f64 (neg.f64 l) d)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (/.f64 D d) (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d)) (.f64 (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d))) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (neg.f64 (.f64 (.f64 d #s(literal 2 binary64)) l))) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (/.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d)) (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d)) #s(literal 1 binary64))
(fma.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (*.f64 (neg.f64 l) d)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (neg.f64 (.f64 (*.f64 d #s(literal 2 binary64)) l))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (neg.f64 (.f64 (*.f64 d #s(literal 2 binary64)) l))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 d #s(literal 2 binary64)) l))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h)))) (.f64 (*.f64 d #s(literal 2 binary64)) d)) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/2 binary64))) (/.f64 (.f64 D h) (.f64 (neg.f64 l) d))) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))
(fma.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d)) d) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M D) d) (/.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (*.f64 (neg.f64 l) d)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 d l)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d)) M) (/.f64 D (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d)) (.f64 M #s(literal 1/2 binary64))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) (.f64 M #s(literal 1/2 binary64))) (/.f64 (.f64 D h) (.f64 (neg.f64 l) d)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D))) (.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (.f64 (.f64 d #s(literal 2 binary64)) l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (neg.f64 (.f64 (.f64 d #s(literal 2 binary64)) l))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (neg.f64 (.f64 (.f64 d #s(literal 2 binary64)) l))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 #s(literal 1/2 binary64) (.f64 D h))) (.f64 (neg.f64 l) d)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D))) (.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (.f64 (.f64 d #s(literal 2 binary64)) l))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (neg.f64 (.f64 (.f64 d #s(literal 2 binary64)) l))) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D))) (.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (.f64 (.f64 d #s(literal 2 binary64)) l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 h (/.f64 D d)))) (.f64 M D)) (neg.f64 (.f64 (.f64 d #s(literal 2 binary64)) l))))))
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(/.f64 (.f64 M D) (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (.f64 M (.f64 D (*.f64 M D)))))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (*.f64 d #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (*.f64 M D)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 M D)) (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (*.f64 M D)))
(/.f64 (neg.f64 (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (.f64 (.f64 M D) (neg.f64 (.f64 M D))) (.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d d))) #s(literal 4 binary64))
(/.f64 (.f64 (neg.f64 (.f64 M D)) (.f64 M D)) (.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d d)) (.f64 M D)) #s(literal 4 binary64))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (.f64 d #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d d)) #s(literal 4 binary64))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 4 binary64)) (.f64 d d))
(pow.f64 (/.f64 (.f64 d (.f64 d #s(literal 4 binary64))) (.f64 M (.f64 D (*.f64 M D)))) #s(literal -1 binary64))
(.f64 M (/.f64 (.f64 D (.f64 M D)) (.f64 d (*.f64 d #s(literal 4 binary64)))))
(.f64 M (.f64 (.f64 D (/.f64 #s(literal 1/4 binary64) (.f64 d d))) (*.f64 M D)))
(.f64 D (.f64 M (/.f64 (.f64 M D) (.f64 d (*.f64 d #s(literal 4 binary64))))))
(.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (*.f64 d #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal 4 binary64)))) (*.f64 M D))
(.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 D #s(literal 1/4 binary64)) (*.f64 M D)))
(.f64 (/.f64 (.f64 D (.f64 M D)) (.f64 d (*.f64 d #s(literal 4 binary64)))) M)
(.f64 (.f64 M (.f64 D (.f64 M D))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(.f64 (/.f64 (.f64 M D) (.f64 d d)) (/.f64 (.f64 M D) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 M D) #s(literal 4 binary64)) (/.f64 (.f64 M D) (.f64 d d)))
(.f64 (.f64 (.f64 M D) M) (.f64 D (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))
(.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d d))) (*.f64 D #s(literal 1/4 binary64)))
(.f64 (.f64 (/.f64 (.f64 M D) (.f64 d (*.f64 d #s(literal 4 binary64)))) M) D)

simplify440.0ms (3%)

Memory

-27.5MiB live, 808.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 266×	`lower-*.f64`
7 266×	`lower-*.f32`
4 902×	`lower-/.f32`
4 902×	`lower-/.f64`
4 274×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	728	25546
1	2491	25343
2	7954	25343
0	8016	24802

Stop Event

1×	iter limit
1×	node limit

Counts

1 416 → 1 395

Calls

Call 1

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

eval233.0ms (1.6%)

Memory: 28.5MiB live, 400.6MiB allocated
Compiler: Compiled 52 611 to 3 547 computations (93.3% saved)

prune191.0ms (1.3%)

Memory

7.1MiB live, 321.3MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	2 082	16	2 098
Fresh	9	6	15
Picked	4	1	5
Done	1	1	2
Total	2 096	24	2 120

Accuracy

99.2%

Counts

2 120 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.3%	(fma.f64 (/.f64 (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 M M))) (.f64 d (.f64 d l))) (.f64 (*.f64 D D) w0) w0)
	61.2%	(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)
	73.1%	(fma.f64 D (.f64 (.f64 D (/.f64 (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 M M))) (.f64 d (*.f64 d l)))) w0) w0)
	21.3%	(/.f64 (.f64 w0 (.f64 D (sqrt.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (/.f64 (*.f64 M M) l)))))) d)
	23.5%	(.f64 (.f64 (fabs.f64 (.f64 M D)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 h (*.f64 d l)) d)))) w0)
	19.9%	(.f64 (.f64 (fabs.f64 (.f64 M D)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 h (.f64 l (.f64 d d)))))) w0)
	23.1%	(.f64 (.f64 (fabs.f64 (.f64 M D)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 d (/.f64 (.f64 d l) h)))))) w0)
	23.6%	(.f64 (.f64 w0 (sqrt.f64 (/.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 d (.f64 d l))))) (fabs.f64 (.f64 M D)))
	22.9%	(.f64 (.f64 w0 (fabs.f64 (.f64 M D))) (sqrt.f64 (/.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 d (.f64 d l)))))
	20.5%	(.f64 (.f64 D (sqrt.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (/.f64 (.f64 M M) l))))) (.f64 (/.f64 #s(literal 1 binary64) d) w0))
	75.3%	(.f64 (sqrt.f64 (fma.f64 (.f64 M (.f64 (.f64 M #s(literal 1/4 binary64)) D)) (/.f64 (.f64 D h) (.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
	23.8%	(.f64 (fabs.f64 M) (.f64 D (.f64 w0 (sqrt.f64 (/.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 d (.f64 d l)))))))
	68.9%	(.f64 w0 (fma.f64 (/.f64 (.f64 D D) (.f64 d l)) (.f64 (.f64 M (.f64 M h)) (/.f64 #s(literal -1/8 binary64) d)) #s(literal 1 binary64)))
	64.0%	(.f64 w0 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) (/.f64 #s(literal -1/8 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64)))
	18.6%	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 D (.f64 D #s(literal -1/4 binary64))) (.f64 M (.f64 (/.f64 M l) h)))) d))
	11.8%	(.f64 w0 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (.f64 l (.f64 d d))) #s(literal -1/8 binary64)))
	80.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D h) (.f64 d (neg.f64 l))) (.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) (/.f64 D d)) #s(literal 1 binary64))))
	16.1%	(.f64 w0 (sqrt.f64 (/.f64 (.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D #s(literal -1/4 binary64))) D) (.f64 (.f64 d d) l))))
	83.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d))))) #s(literal 2 binary64)) (/.f64 h l)))))
✓	73.6%	(.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)))))
	81.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (.f64 (/.f64 M d) (/.f64 D (.f64 d #s(literal 4 binary64))))) (/.f64 h l)))))
	20.9%	(.f64 w0 (sqrt.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) d) (.f64 (/.f64 (.f64 D #s(literal -1/4 binary64)) l) (/.f64 D d)))))
	11.8%	(.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) w0)) (.f64 l (.f64 d d))))
✓	71.0%	w0

Compiler

Compiled 1 718 to 733 computations (57.3% saved)

regimes463.0ms (3.2%)

Memory

-129.1MiB live, 371.5MiB allocated

Counts

57 → 2

Calls

Call 1

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

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

Calls

15 calls:

244.0ms	(*.f64 #s(literal 2 binary64) d)
18.0ms	d
18.0ms	(*.f64 M D)
17.0ms	l
17.0ms	w0

Results

Accuracy	Segments	Branch
91.0%	1	`w0`
91.0%	1	`M`
91.0%	1	`D`
91.0%	1	`h`
91.0%	1	`l`
91.0%	1	`d`
91.0%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
91.0%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
91.0%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
91.0%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
91.0%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
93.3%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
92.8%	2	`(*.f64 M D)`
91.0%	1	`(*.f64 #s(literal 2 binary64) d)`
91.0%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes230.0ms (1.6%)

Memory

29.7MiB live, 337.3MiB allocated

Counts

53 → 3

Calls

Call 1

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

Outputs

w0

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

Calls

15 calls:

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

Results

Accuracy	Segments	Branch
89.8%	2	`d`
89.8%	2	`(*.f64 #s(literal 2 binary64) d)`
89.1%	2	`l`
91.7%	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)))))`
91.7%	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))))`
91.7%	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)))`
91.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.2%	2	`(/.f64 h l)`
90.2%	2	`w0`
89.8%	2	`M`
90.6%	2	`D`
90.3%	2	`h`
92.6%	3	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
93.1%	3	`(*.f64 M D)`
93.4%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes202.0ms (1.4%)

Memory

-16.4MiB live, 105.9MiB allocated

Counts

50 → 3

Calls

Call 1

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

Outputs

w0

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

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

Calls

5 calls:

148.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
14.0ms	(*.f64 M D)
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)))))
12.0ms	(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))))
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)))

Results

Accuracy	Segments	Branch
92.0%	3	`(*.f64 M D)`
89.5%	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)))))`
90.6%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
90.6%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
93.0%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 89 to 65 computations (27% saved)

regimes199.0ms (1.4%)

Memory

-4.7MiB live, 242.4MiB allocated

Counts

42 → 3

Calls

Call 1

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

Outputs

w0

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

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

Calls

15 calls:

26.0ms	(*.f64 #s(literal 2 binary64) 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	l
13.0ms	M
13.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
82.5%	1	`l`
85.8%	2	`(/.f64 h l)`
84.7%	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)))))`
87.7%	2	`M`
88.7%	3	`d`
88.7%	3	`(*.f64 #s(literal 2 binary64) d)`
82.5%	1	`w0`
82.5%	1	`h`
88.9%	3	`(*.f64 M D)`
85.9%	2	`D`
89.0%	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))))`
89.0%	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)))`
87.8%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
90.1%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes13.0ms (0.1%)

Memory

-14.8MiB live, 22.9MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

w0

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
89.9%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes41.0ms (0.3%)

Memory

38.1MiB live, 76.7MiB allocated

Counts

37 → 2

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	M
10.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
9.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
9.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
87.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
86.5%	3	`M`
87.5%	3	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.5%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 54 to 40 computations (25.9% saved)

regimes7.0ms (0%)

Memory

-26.6MiB live, 11.6MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
87.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes28.0ms (0.2%)

Memory

1.0MiB live, 44.1MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(*.f64 M D)
5.0ms	(*.f64 #s(literal 2 binary64) d)
4.0ms	d
4.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
4.0ms	(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
77.0%	3	`d`
77.0%	3	`(*.f64 #s(literal 2 binary64) d)`
82.4%	2	`(*.f64 M D)`
86.9%	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))))`
86.9%	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)))`
87.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 87 to 65 computations (25.3% saved)

regimes12.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

3.0ms

(-.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
86.9%	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))))`
86.9%	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)))`
86.2%	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)

regimes56.0ms (0.4%)

Memory

-10.5MiB live, 103.1MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

13 calls:

6.0ms	l
6.0ms	(/.f64 h l)
4.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
4.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
4.0ms	w0

Results

Accuracy	Segments	Branch
80.2%	2	`(*.f64 M D)`
76.7%	3	`h`
73.1%	1	`l`
75.2%	2	`w0`
80.4%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
80.4%	2	`M`
76.7%	2	`(/.f64 h l)`
79.9%	2	`D`
80.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
80.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
79.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
80.4%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.4%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`

Compiler

Compiled 167 to 126 computations (24.6% saved)

regimes24.0ms (0.2%)

Memory

6.6MiB live, 45.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	(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	M
3.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
3.0ms	(-.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
80.4%	2	`M`
80.2%	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)))))`
80.2%	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))))`
80.2%	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)))`
80.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
80.3%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 102 to 75 computations (26.5% saved)

regimes21.0ms (0.1%)

Memory

4.4MiB live, 41.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
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	M
3.0ms	(*.f64 M D)
3.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
80.1%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
80.1%	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)))))`
78.5%	2	`(*.f64 M D)`
79.8%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.8%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
79.3%	2	`M`

Compiler

Compiled 111 to 82 computations (26.1% saved)

regimes17.0ms (0.1%)

Memory

-2.0MiB live, 37.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
w0
(.f64 w0 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (.f64 l (.f64 d d))) #s(literal -1/8 binary64)))

Calls

8 calls:

3.0ms	D
2.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms	M
2.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
2.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
75.7%	2	`M`
78.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.8%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
71.0%	1	`D`
78.2%	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))))`
78.2%	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)))`
78.2%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`

Compiler

Compiled 128 to 94 computations (26.6% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
w0
(.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) w0)) (.f64 l (.f64 d d))))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
78.7%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes22.0ms (0.2%)

Memory

13.4MiB live, 52.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
w0
(*.f64 w0 #s(literal 1 binary64))

Outputs
w0

Calls

14 calls:

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

Results

Accuracy	Segments	Branch
71.0%	1	`l`
71.0%	1	`h`
71.0%	1	`w0`
71.0%	1	`d`
71.0%	1	`(*.f64 #s(literal 2 binary64) d)`
71.0%	1	`M`
71.0%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
71.0%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
71.0%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
71.0%	1	`(/.f64 h l)`
71.0%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
71.0%	1	`(*.f64 M D)`
71.0%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
71.0%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 176 to 134 computations (23.9% saved)

bsearch6.0ms (0%)

Memory

-44.5MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.41457424881971e+257	5.282027964063029e+263

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.41457424881971e+257	5.282027964063029e+263
0.0ms	5.0939489306229366e-152	2.4308525015925335e-150

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.41457424881971e+257	5.282027964063029e+263
0.0ms	9.0391413006139e-118	6.461339835894827e-114

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.41457424881971e+257	5.282027964063029e+263
0.0ms	4.425536658652282e-74	3.715759446730838e-71

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.870071950368085e+217	7.602555267511477e+222
0.0ms	8.777111091790334e-105	7.386331505620938e-85

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-48894.23131199374	-1.165458841381902e-7

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-48894.23131199374	-1.165458841381902e-7

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-48894.23131199374	-1.165458841381902e-7

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000116545884	48895.23131199374

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	1.3712529829806582e+176	4.996314054578099e+179

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch14.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.692641762181606e-118	2.2834967358713644e-117

Samples

9.0ms	96×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 237 to 170 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (34.4% of total)

ival-div: 1.0ms (17.2% of total)

ival-sqrt: 1.0ms (17.2% of total)

ival-pow2: 1.0ms (17.2% of total)

ival-sub: 0.0ms (0% 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

-38.3MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4077822044832444e+270	4.061888745118929e+272

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	4.584328698903602e+297	6.439550748361621e+304

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	4.584328698903602e+297	6.439550748361621e+304

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify22.0ms (0.2%)

Memory

34.3MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Rules

140×	`*-commutative_binary64`
40×	`+-commutative_binary64`
40×	`sub-neg_binary64`
38×	`neg-sub0_binary64`
38×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	590
1	222	590
2	258	590
3	290	590
4	326	590
5	346	590
6	355	590
7	359	590
8	360	590

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 500000000000000028399858815829979799604946851329863158705570634583453387481338739938630653769837024826986323251694972894843288255209669564121853059236516160040645332748870782203335011856143894937367368337103568372337099891915859959202966698161742449634967552 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 (fabs.f64 M) (.f64 D (.f64 w0 (sqrt.f64 (/.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 d (.f64 d l))))))))
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) w0 (if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 500000000000000028399858815829979799604946851329863158705570634583453387481338739938630653769837024826986323251694972894843288255209669564121853059236516160040645332748870782203335011856143894937367368337103568372337099891915859959202966698161742449634967552 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 (fabs.f64 M) (.f64 D (.f64 w0 (sqrt.f64 (/.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 d (.f64 d l)))))))))
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w0

Outputs
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(if (<=.f64 M #s(literal 447176168267805/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) w0 (fma.f64 D (.f64 w0 (.f64 D (/.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) (.f64 d (*.f64 d l))))) w0))
(if (<=.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))))) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) w0 (.f64 w0 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) (/.f64 #s(literal -1/8 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))))) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) w0 (.f64 w0 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) (/.f64 #s(literal -1/8 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) w0 (.f64 w0 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (.f64 l (.f64 d d))) #s(literal -1/8 binary64))))
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) w0 (.f64 w0 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (.f64 l (.f64 d d))))))
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) w0 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) w0)) (.f64 l (.f64 d d)))))
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) w0 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) (.f64 w0 (.f64 h (.f64 M M)))) (.f64 l (.f64 d d)))))
w0

soundness2.0s (14.1%)

Memory

49.9MiB live, 1 523.3MiB allocated

Rules

10 820×	`lower-*.f64`
10 820×	`lower-*.f32`
10 592×	`lower-*.f64`
10 592×	`lower-*.f32`
9 002×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	628	8158
1	2189	8136
0	8486	7930
0	728	25546
1	2491	25343
2	7954	25343
0	8016	24802
0	657	26618
1	2275	26570
0	8300	25907
0	645	21810
1	2240	21730
0	8617	21288
0	50	347
0	91	345
1	291	321
2	2462	308
0	9084	305
0	51	319
0	93	319
1	281	311
2	2061	309
0	8439	309
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78
0	56	383
0	102	383
1	322	373
2	2305	367
0	8244	364

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
1×	iter limit
1×	node limit

Compiler

Compiled 1 848 to 1 086 computations (41.2% saved)

preprocess136.0ms (0.9%)

Memory

-8.5MiB live, 251.0MiB allocated

Remove

(sort M D)

(negabs w0)

Compiler

Compiled 2 312 to 888 computations (61.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	149	590
1	222	590
2	258	590
3	290	590
4	326	590
5	346	590
6	355	590
7	359	590
8	360	590

Iter	Nodes	Cost
0	149	590
1	222	590
2	258	590
3	290	590
4	326	590
5	346	590
6	355	590
7	359	590
8	360	590

analyze573.0ms (4%)

sample1.9s (13.5%)

preprocess267.0ms (1.8%)

explain228.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify245.0ms (1.7%)

localize46.0ms (0.3%)

series65.0ms (0.4%)

rewrite335.0ms (2.3%)

simplify412.0ms (2.8%)

eval131.0ms (0.9%)

prune166.0ms (1.1%)

simplify359.0ms (2.5%)

localize328.0ms (2.3%)

series208.0ms (1.4%)

rewrite442.0ms (3.1%)

simplify642.0ms (4.4%)

eval380.0ms (2.6%)

prune200.0ms (1.4%)

simplify388.0ms (2.7%)

localize303.0ms (2.1%)

series90.0ms (0.6%)

rewrite559.0ms (3.9%)

simplify471.0ms (3.3%)

eval253.0ms (1.7%)

prune242.0ms (1.7%)

simplify197.0ms (1.4%)

localize192.0ms (1.3%)

series103.0ms (0.7%)

rewrite279.0ms (1.9%)

simplify440.0ms (3%)

eval233.0ms (1.6%)

prune191.0ms (1.3%)

regimes463.0ms (3.2%)

regimes230.0ms (1.6%)

regimes202.0ms (1.4%)

regimes199.0ms (1.4%)

regimes13.0ms (0.1%)

regimes41.0ms (0.3%)

regimes7.0ms (0%)

regimes28.0ms (0.2%)

regimes12.0ms (0.1%)

regimes56.0ms (0.4%)

regimes24.0ms (0.2%)

regimes21.0ms (0.1%)

regimes17.0ms (0.1%)

regimes2.0ms (0%)

regimes22.0ms (0.2%)

bsearch6.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify22.0ms (0.2%)

soundness2.0s (14.1%)

preprocess136.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	149	590
1	222	590
2	258	590
3	290	590
4	326	590
5	346	590
6	355	590
7	359	590
8	360	590