Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze565.0ms (7.3%)

Memory

15.6MiB live, 819.3MiB allocated; 107ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.5s (32.7%)

Memory

-2.3MiB live, 3 641.1MiB allocated; 1.2s collecting garbage

Samples

1.5s	8 256×	0	valid
346.0ms	2 724×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 932.0ms

ival-mult: 305.0ms (32.7% of total)

ival-pow2: 223.0ms (23.9% of total)

ival-div: 170.0ms (18.2% of total)

ival-sqrt: 133.0ms (14.3% of total)

ival-sub: 78.0ms (8.4% of total)

exact: 16.0ms (1.7% of total)

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

adjust: 3.0ms (0.3% of total)

Bogosity

explain266.0ms (3.5%)

Memory

-4.4MiB live, 465.3MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
40	-	3	(-3.234484408024327e-31 -6.200264469069437e-41 -1.9690065128838964e+273 1.183517233588368e-67 3.6147390523528002e+252 -1.7622748211110886e+106)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
32	-	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))))`
23	-	4	(1.3482189493347486e+156 6.133312989316212e-258 9.333323241431974e-63 1.2680946737665517e+64 3.1166664882070423e-243 2.7673154568067784e-91)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
7	-	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	32	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	58
↳	`(-.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	64
↳	`(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	32
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(*.f64 M D)`	overflow	22
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	32
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	64
↳	`(/.f64 h l)`	overflow	26
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	11	0
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	7	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	6	0
↳	`(*.f64 M D)`	overflow	22
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	58
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(*.f64 M D)`	overflow	22
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	32
↳	`(/.f64 h l)`	underflow	29
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	100
↳	`(*.f64 M D)`	underflow	38
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	46
↳	`(/.f64 h l)`	overflow	26
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	38

Confusion

	Predicted +	Predicted -
+	45	9
-	13	189

Precision

0.7758620689655172

Recall

0.8333333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	45	0	9
-	13	0	189

Precision?

0.7758620689655172

Recall?

0.8333333333333334

Freqs

test

number	freq
0	198
1	54
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 16.0ms (41.3% of total)

ival-div: 8.0ms (20.7% of total)

ival-pow2: 6.0ms (15.5% of total)

ival-sqrt: 4.0ms (10.3% of total)

ival-sub: 3.0ms (7.7% of total)

ival-true: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

preprocess150.0ms (1.9%)

Memory

-5.6MiB live, 282.5MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	514
1	461	510
2	1474	510
3	4405	510
0	17	18
0	26	18
1	47	18
2	122	18
3	873	18
4	5428	18
0	8411	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 (sqrt.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (/.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 h l) #s(literal 2 binary64)) #s(literal 2 binary64))) w0)

Symmetry

(abs M)

(abs D)

(abs d)

(negabs w0)

(sort M D)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(.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 18 to 17 computations (5.6% saved)

series87.0ms (1.1%)

Memory

-7.9MiB live, 182.0MiB allocated; 12ms collecting garbage

Counts

17 → 100

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
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx w0 #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx D #s(hole binary64 D))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx h #s(hole binary64 h))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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)))))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx l #s(hole binary64 l))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx d #s(hole binary64 d))

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	d	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
8.0ms	M	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
7.0ms	D	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
6.0ms	D	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
6.0ms	h	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)

rewrite145.0ms (1.9%)

Memory

12.4MiB live, 247.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	745	6259
0	758	6005
0	4242	5864

Stop Event

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

Counts

117 → 135

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
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(-.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)))
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(.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))
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M
D
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#s(literal 2 binary64)
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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)))))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx l #s(hole binary64 l))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx d #s(hole binary64 d))

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

eval18.0ms (0.2%)

Memory: -2.8MiB live, 43.7MiB allocated; 1ms collecting garbage
Compiler: Compiled 7 435 to 897 computations (87.9% saved)

prune37.0ms (0.5%)

Memory

-17.9MiB live, 81.6MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	7	136

Accuracy

86.9%

Counts

136 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.7%	(.f64 w0 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (.f64 (/.f64 h l) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))))))))))
▶	85.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) h) l))))
✓	79.5%	(.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)))))
▶	51.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) (/.f64 h l)))))
▶	55.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d d)) #s(literal 1/4 binary64))) l))))
▶	64.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
▶	50.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))

Compiler

Compiled 502 to 297 computations (40.8% saved)

series165.0ms (2.1%)

Memory

-3.6MiB live, 260.2MiB allocated; 64ms collecting garbage

Counts

49 → 236

Calls

Call 1

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

Outputs
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx w0 #s(hole binary64 w0))
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#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (+ 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)))))))))))
#s(approx (/ D d) #s(hole binary64 (/ D d)))
#s(approx D #s(hole binary64 D))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (* D D) #s(hole binary64 (pow D 2)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* 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)))))))))
#s(approx (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) #s(hole binary64 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))))
#s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) #s(hole binary64 (* (pow D 2) (- (/ l (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (pow d 2)))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* -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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (+ 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)))))))))))
#s(approx h #s(hole binary64 h))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (* 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))))))))))
#s(approx (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
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#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx d #s(hole binary64 d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) #s(hole binary64 (/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))))
#s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) #s(hole binary64 (/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2))))

Calls

18 calls:

Time	Variable		Point	Expression
47.0ms	l	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4) (/ (* (* (* M M) h) (* D D)) (* d d)) (* (* (* M M) h) (* D D)) 1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) (/ h l))
9.0ms	w0	@	0	((* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4) (/ (* (* (* M M) h) (* D D)) (* d d)) (* (* (* M M) h) (* D D)) 1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) (/ h l))
9.0ms	d	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4) (/ (* (* (* M M) h) (* D D)) (* d d)) (* (* (* M M) h) (* D D)) 1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) (/ h l))
9.0ms	M	@	inf	((* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4) (/ (* (* (* M M) h) (* D D)) (* d d)) (* (* (* M M) h) (* D D)) 1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) (/ h l))
8.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l)) 1 (/ (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) h) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D d h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4) (/ (* (* (* M M) h) (* D D)) (* d d)) (* (* (* M M) h) (* D D)) 1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) (/ h l))

rewrite244.0ms (3.2%)

Memory

12.4MiB live, 389.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1004	14979
0	1064	13691
1	5123	13439
0	8029	13118

Stop Event

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

Counts

285 → 441

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) w0)
(.f64 w0 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
w0
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l))
(/.f64 (neg.f64 (.f64 h (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 l))
(/.f64 (.f64 h (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))) l)
(.f64 h (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))) h)
(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) h))
(.f64 (exp.f64 (-.f64 (log.f64 (/.f64 (.f64 D M) #s(literal 2 binary64))) (log.f64 d))) (exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64))) (log.f64 d))))
(*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 M #s(literal 2 binary64))) (/.f64 D d))
(.f64 (neg.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (fabs.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)))) (fabs.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 M M) (pow.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 M #s(literal 2 binary64)) (.f64 (/.f64 D d) (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64))) (log.f64 d))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(exp.f64 (.f64 (-.f64 (log.f64 (/.f64 (.f64 D M) #s(literal 2 binary64))) (log.f64 d)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (-.f64 (log.f64 (/.f64 (.f64 D M) #s(literal 2 binary64))) (log.f64 d)) #s(literal 2 binary64))) (sinh.f64 (.f64 (-.f64 (log.f64 (/.f64 (.f64 D M) #s(literal 2 binary64))) (log.f64 d)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 D d) #s(literal 1 binary64)))
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(.f64 M (pow.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d)
(/.f64 (neg.f64 (.f64 D M)) (neg.f64 (.f64 d #s(literal 2 binary64))))
(/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (-.f64 (log.f64 (/.f64 (.f64 D M) #s(literal 2 binary64))) (log.f64 d)) #s(literal 1 binary64)))
(/.f64 (neg.f64 M) #s(literal -2 binary64))
(/.f64 M #s(literal 2 binary64))
M
#s(literal 2 binary64)
(/.f64 (neg.f64 D) (neg.f64 d))
(/.f64 D d)
D
d
h
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64) w0))
(/.f64 (-.f64 (.f64 w0 w0) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64)))) (-.f64 w0 (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal -1/8 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64))) (.f64 w0 w0)) (-.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal -1/8 binary64)) w0))
(/.f64 (fma.f64 (.f64 w0 w0) w0 (.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 w0 w0 (-.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64))) (.f64 w0 (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal -1/8 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 w0 #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64))) (-.f64 (.f64 w0 w0) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64)) w0))))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64) w0)
(fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) w0)
(-.f64 w0 (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l))))
(+.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal -1/8 binary64)) w0)
(+.f64 w0 (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal -1/8 binary64)))
(.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))
(.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 h w0) (.f64 M M)) l))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (*.f64 d d) l)))
(.f64 (.f64 (.f64 h w0) (.f64 M M)) (/.f64 (.f64 D D) (.f64 (*.f64 d d) l)))
(/.f64 (neg.f64 (.f64 (.f64 D D) (.f64 (.f64 h w0) (.f64 M M)))) (neg.f64 (.f64 (*.f64 d d) l)))
(/.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 h w0) (.f64 M M))) (.f64 d d)) l)
(/.f64 (.f64 (.f64 D D) (.f64 (.f64 h w0) (.f64 M M))) (.f64 (*.f64 d d) l))
(.f64 (.f64 (.f64 (.f64 h w0) (*.f64 M M)) D) D)
(.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 1 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64))) (*.f64 h w0))
(.f64 (.f64 D D) (.f64 (.f64 h w0) (*.f64 M M)))
(.f64 (.f64 (.f64 h w0) (.f64 M M)) (*.f64 D D))
(.f64 (.f64 (.f64 M M) h) (.f64 w0 (*.f64 D D)))
(.f64 (.f64 h w0) (*.f64 M M))
(.f64 (.f64 M M) (*.f64 h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(.f64 w0 (.f64 (*.f64 M M) h))
(.f64 (.f64 M M) h)
(.f64 h (.f64 M M))
(.f64 M (.f64 M h))
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 M)))
(*.f64 (neg.f64 M) (neg.f64 M))
(*.f64 (fabs.f64 M) (fabs.f64 M))
(*.f64 M M)
(pow.f64 (exp.f64 (log.f64 M)) #s(literal 2 binary64))
(pow.f64 (neg.f64 M) #s(literal 2 binary64))
(pow.f64 (fabs.f64 M) #s(literal 2 binary64))
(pow.f64 (*.f64 M M) #s(literal 1 binary64))
(pow.f64 M #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 M) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 M) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 M) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 D)) (exp.f64 (log.f64 D)))
(*.f64 (neg.f64 D) (neg.f64 D))
(*.f64 (fabs.f64 D) (fabs.f64 D))
(*.f64 D D)
(pow.f64 (exp.f64 (log.f64 D)) #s(literal 2 binary64))
(pow.f64 (neg.f64 D) #s(literal 2 binary64))
(pow.f64 (fabs.f64 D) #s(literal 2 binary64))
(pow.f64 (*.f64 D D) #s(literal 1 binary64))
(pow.f64 D #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 D) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 D) #s(literal 2 binary64))))
(.f64 (.f64 d d) l)
(.f64 l (.f64 d d))
(.f64 d (.f64 d l))
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)))
(*.f64 (neg.f64 d) (neg.f64 d))
(*.f64 (fabs.f64 d) (fabs.f64 d))
(*.f64 d d)
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64))
(pow.f64 (neg.f64 d) #s(literal 2 binary64))
(pow.f64 (fabs.f64 d) #s(literal 2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1 binary64))
(pow.f64 d #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 d) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 d) #s(literal 2 binary64))))
#s(literal -1/8 binary64)
(.f64 (pow.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) w0)
(.f64 w0 (pow.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))
(.f64 (pow.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d)) #s(literal -1/4 binary64) l) l)) #s(literal 1/2 binary64)) w0)
(.f64 w0 (pow.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d)) #s(literal -1/4 binary64) l) l)) #s(literal 1/2 binary64)))
(pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d)) #s(literal -1/4 binary64) l) l)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d)) #s(literal -1/4 binary64) l) l)))
(exp.f64 (.f64 (log.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d)) #s(literal -1/4 binary64) l) l))) #s(literal 1/2 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d)) #s(literal -1/4 binary64) l) l))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) w0) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (.f64 M M) #s(literal 3 binary64))) (pow.f64 (.f64 D D) #s(literal 5/2 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) d)) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (.f64 M M) #s(literal 3 binary64))) (pow.f64 (.f64 D D) #s(literal 5/2 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D) d)) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) w0) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (.f64 M M) #s(literal 3 binary64))) (pow.f64 (.f64 D D) #s(literal 5/2 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) d)) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (.f64 M M) #s(literal 3 binary64))) (pow.f64 (.f64 D D) #s(literal 5/2 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 D D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) (.f64 (.f64 (.f64 h h) h) w0)) (.f64 D D)) (pow.f64 (.f64 (.f64 d d) l) #s(literal 3 binary64))) #s(literal -1/1024 binary64))) (.f64 D D) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (.f64 D D) w0))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))) (*.f64 D D) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) (.f64 (.f64 h h) h)) (.f64 D D)) (pow.f64 (.f64 (.f64 d d) l) #s(literal 3 binary64))) #s(literal -1/1024 binary64))) (.f64 D D) (.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))) (*.f64 D D) #s(literal 1 binary64)))
#s(approx (/ D d) (/.f64 D d))
#s(approx D D)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 D D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) (.f64 (.f64 (.f64 h h) h) w0)) (.f64 D D)) (pow.f64 (.f64 (.f64 d d) l) #s(literal 3 binary64))) #s(literal -1/1024 binary64))) (.f64 D D) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (.f64 D D) w0))
#s(approx (* D D) (*.f64 D D))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))) (*.f64 D D) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) (.f64 (.f64 h h) h)) (.f64 D D)) (pow.f64 (.f64 (.f64 d d) l) #s(literal 3 binary64))) #s(literal -1/1024 binary64))) (.f64 D D) (.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))) (*.f64 D D) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) D))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))) D))
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#s(approx (* (* d d) l) (.f64 (.f64 d d) l))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal -1/8 binary64))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 6 binary64)) (.f64 (.f64 (.f64 h h) h) w0)) (pow.f64 (.f64 (.f64 d d) l) #s(literal 3 binary64))) #s(literal -1/1024 binary64)))) w0))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal -1/8 binary64))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 6 binary64)) (.f64 (.f64 (.f64 h h) h) w0)) (pow.f64 (.f64 (.f64 d d) l) #s(literal 3 binary64))) #s(literal -1/1024 binary64)))) w0))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/128 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 6 binary64)) (.f64 (.f64 h h) h)) (pow.f64 (.f64 (.f64 d d) l) #s(literal 3 binary64))) #s(literal -1/1024 binary64)))))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d d) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal -1 binary64)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 5 binary64))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal -1 binary64))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) l) #s(literal -1/4 binary64) (.f64 d d)) (.f64 d d)))
#s(approx d d)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 d d) D) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 w0 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (.f64 d d) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 d d) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 5 binary64)))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D))) d))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 h w0) (.f64 M M))) l) #s(literal -1/8 binary64) (.f64 (.f64 d d) w0)) (.f64 d d)))
#s(approx (* d d) (*.f64 d d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d d) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal -1 binary64)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 5 binary64))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal -1 binary64))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) l) #s(literal -1/4 binary64) (.f64 d d)) (.f64 d d)))
#s(approx (/ (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) l) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) l) #s(literal -1/4 binary64) (.f64 d d)) (.f64 d d)))
#s(approx (- l (* (/ (* (* (* M M) h) (* D D)) (* d d)) 1/4)) (/.f64 (-.f64 (.f64 (.f64 d d) l) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h))) (.f64 d d)))

eval98.0ms (1.3%)

Memory: 12.8MiB live, 191.0MiB allocated; 23ms collecting garbage
Compiler: Compiled 23 012 to 2 870 computations (87.5% saved)

prune223.0ms (2.9%)

Memory

3.3MiB live, 324.9MiB allocated; 74ms collecting garbage

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	504	8	512
Fresh	1	0	1
Picked	4	1	5
Done	0	1	1
Total	509	10	519

Accuracy

88.5%

Counts

519 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) h)) l))))
▶	84.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D M) #s(literal 2 binary64)) d) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) h) l))))
✓	79.5%	(.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)))))
	65.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 D M)) #s(literal 2 binary64))) (.f64 d d)) #s(literal 1/4 binary64))) (/.f64 h l)))))
▶	68.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 1 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64))) h) (.f64 d d)) #s(literal 1/4 binary64))) l))))
	67.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 1 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64))) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (pow.f64 h #s(literal -1 binary64))) h))))
✓	64.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
▶	59.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h w0) (.f64 M M)) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
	50.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (pow.f64 (exp.f64 (log.f64 D)) #s(literal 2 binary64))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) w0))
▶	52.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 d (*.f64 d l))) #s(literal -1/8 binary64) w0))

Compiler

Compiled 622 to 460 computations (26% saved)

series155.0ms (2%)

Memory

-1.6MiB live, 323.7MiB allocated; 23ms collecting garbage

Counts

60 → 347

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	l	@	inf	((* w0 (sqrt (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l)))) w0 (sqrt (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l))) (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l)) 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) (* (pow (/ D d) 1) (pow (/ M 2) 1)) (pow (/ D d) 1) (/ D d) D d (pow (/ M 2) 1) (/ M 2) M 2 (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* d (* d l))) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* d (* d l))) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* D D) (* d (* d l)) (* d l) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* h w0) (* M M)) D) D) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* h w0) (* M M)) D) D) (* (* d d) l)) (* (* (* (* h w0) (* M M)) D) D) (* (* (* h w0) (* M M)) D) (* (* h w0) (* M M)) (* h w0) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4)) l) (- l (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4)) (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4) (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* (pow (* D M) 1) (pow (* D M) 1)) (pow (* D M) 1) (* D M) 1/4 (* w0 (sqrt (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l)))) (sqrt (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l)) (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l) (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) (/ (/ (* D M) 2) d) (/ (* D M) 2) (* (/ M 2) (/ D d)))
10.0ms	d	@	inf	((* w0 (sqrt (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l)))) w0 (sqrt (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l))) (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l)) 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) (* (pow (/ D d) 1) (pow (/ M 2) 1)) (pow (/ D d) 1) (/ D d) D d (pow (/ M 2) 1) (/ M 2) M 2 (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* d (* d l))) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* d (* d l))) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* D D) (* d (* d l)) (* d l) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* h w0) (* M M)) D) D) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* h w0) (* M M)) D) D) (* (* d d) l)) (* (* (* (* h w0) (* M M)) D) D) (* (* (* h w0) (* M M)) D) (* (* h w0) (* M M)) (* h w0) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4)) l) (- l (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4)) (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4) (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* (pow (* D M) 1) (pow (* D M) 1)) (pow (* D M) 1) (* D M) 1/4 (* w0 (sqrt (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l)))) (sqrt (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l)) (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l) (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) (/ (/ (* D M) 2) d) (/ (* D M) 2) (* (/ M 2) (/ D d)))
10.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l)))) w0 (sqrt (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l))) (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l)) 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) (* (pow (/ D d) 1) (pow (/ M 2) 1)) (pow (/ D d) 1) (/ D d) D d (pow (/ M 2) 1) (/ M 2) M 2 (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* d (* d l))) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* d (* d l))) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* D D) (* d (* d l)) (* d l) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* h w0) (* M M)) D) D) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* h w0) (* M M)) D) D) (* (* d d) l)) (* (* (* (* h w0) (* M M)) D) D) (* (* (* h w0) (* M M)) D) (* (* h w0) (* M M)) (* h w0) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4)) l) (- l (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4)) (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4) (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* (pow (* D M) 1) (pow (* D M) 1)) (pow (* D M) 1) (* D M) 1/4 (* w0 (sqrt (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l)))) (sqrt (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l)) (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l) (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) (/ (/ (* D M) 2) d) (/ (* D M) 2) (* (/ M 2) (/ D d)))
9.0ms	M	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l)))) w0 (sqrt (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l))) (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l)) 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) (* (pow (/ D d) 1) (pow (/ M 2) 1)) (pow (/ D d) 1) (/ D d) D d (pow (/ M 2) 1) (/ M 2) M 2 (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* d (* d l))) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* d (* d l))) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* D D) (* d (* d l)) (* d l) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* h w0) (* M M)) D) D) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* h w0) (* M M)) D) D) (* (* d d) l)) (* (* (* (* h w0) (* M M)) D) D) (* (* (* h w0) (* M M)) D) (* (* h w0) (* M M)) (* h w0) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4)) l) (- l (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4)) (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4) (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* (pow (* D M) 1) (pow (* D M) 1)) (pow (* D M) 1) (* D M) 1/4 (* w0 (sqrt (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l)))) (sqrt (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l)) (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l) (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) (/ (/ (* D M) 2) d) (/ (* D M) 2) (* (/ M 2) (/ D d)))
9.0ms	D	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l)))) w0 (sqrt (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l))) (- 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l)) 1 (/ (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) l) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h)) (* (pow (/ D d) 1) (pow (/ M 2) 1)) (pow (/ D d) 1) (/ D d) D d (pow (/ M 2) 1) (/ M 2) M 2 (* (* (pow (/ D d) 1) (pow (/ M 2) 1)) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* d (* d l))) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* d (* d l))) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (* D D) (* d (* d l)) (* d l) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* h w0) (* M M)) D) D) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* h w0) (* M M)) D) D) (* (* d d) l)) (* (* (* (* h w0) (* M M)) D) D) (* (* (* h w0) (* M M)) D) (* (* h w0) (* M M)) (* h w0) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4)) l) (- l (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4)) (* (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) 1/4) (/ (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* d d)) (* (* (pow (* D M) 1) (pow (* D M) 1)) h) (* (pow (* D M) 1) (pow (* D M) 1)) (pow (* D M) 1) (* D M) 1/4 (* w0 (sqrt (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l)))) (sqrt (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l))) (- 1 (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l)) (/ (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) l) (* (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) h) (* (/ (/ (* D M) 2) d) (* (/ M 2) (/ D d))) (/ (/ (* D M) 2) d) (/ (* D M) 2) (* (/ M 2) (/ D d)))

rewrite263.0ms (3.4%)

Memory

35.1MiB live, 376.2MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1151	23145
0	1237	20078
1	5363	19818
0	8088	19350

Stop Event

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

Counts

407 → 680

Calls

Call 1

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

eval71.0ms (0.9%)

Memory: -30.1MiB live, 160.6MiB allocated; 11ms collecting garbage
Compiler: Compiled 24 141 to 3 038 computations (87.4% saved)

prune247.0ms (3.2%)

Memory

24.0MiB live, 503.0MiB allocated; 21ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	526	6	532
Fresh	1	2	3
Picked	3	2	5
Done	0	2	2
Total	530	12	542

Accuracy

88.8%

Counts

542 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) h)) l))))
✓	84.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D M) #s(literal 2 binary64)) d) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) h) l))))
✓	79.5%	(.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)))))
▶	85.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) d) (/.f64 (.f64 (/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d) h) l)))))
▶	65.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 D M)) #s(literal 2 binary64))) (.f64 d d)) #s(literal 1/4 binary64))) (/.f64 h l)))))
	68.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 (pow.f64 (pow.f64 (.f64 M D) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64))) h) (.f64 d d)) #s(literal 1/4 binary64))) l))))
✓	64.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
▶	69.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) d) (.f64 l d)) #s(literal -1/8 binary64) w0))
	59.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h w0) (exp.f64 (.f64 (log.f64 M) #s(literal 2 binary64)))) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
▶	50.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (pow.f64 (exp.f64 (log.f64 D)) #s(literal 2 binary64))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) w0))
	52.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (pow.f64 (exp.f64 (log.f64 D)) #s(literal 2 binary64))) (.f64 d (.f64 d l))) #s(literal -1/8 binary64) w0))
▶	64.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))

Compiler

Compiled 696 to 529 computations (24% saved)

series417.0ms (5.4%)

Memory

-5.1MiB live, 409.5MiB allocated; 51ms collecting garbage

Counts

54 → 257

Calls

Call 1

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

Outputs
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx w0 #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (+ (* (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) -1/8) w0) #s(hole binary64 (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))))
#s(approx (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
#s(approx (* (* (* (* M M) h) w0) D) #s(hole binary64 (* D (* (pow M 2) (* h w0)))))
#s(approx (* (* (* M M) h) w0) #s(hole binary64 (* (pow M 2) (* h w0))))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))))
#s(approx (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
#s(approx (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) #s(hole binary64 (* (pow D 2) (* (pow M 2) (* h w0)))))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) #s(hole binary64 (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))))
#s(approx (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
#s(approx (/ (* (* (* (* (* M M) h) w0) D) D) d) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h w0))) d)))
#s(approx (* (* (* (* (* M M) h) w0) D) D) #s(hole binary64 (* (pow D 2) (* (pow M 2) (* h w0)))))
#s(approx (+ (* (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) -1/8) w0) #s(hole binary64 (* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) #s(hole binary64 (* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))) #s(hole binary64 1))
#s(approx (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))) #s(hole binary64 (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (/ (* D (/ M 2)) d) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* D (/ M 2)) #s(hole binary64 (* 1/2 (* D M))))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx M #s(hole binary64 M))
#s(approx (/ (* (/ (* D (/ M 2)) d) h) l) #s(hole binary64 (* 1/2 (/ (* D (* M h)) (* d l)))))
#s(approx (* (/ (* D (/ M 2)) d) h) #s(hole binary64 (* 1/2 (/ (* D (* M h)) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (+ (* (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) -1/8) w0) #s(hole binary64 w0))
#s(approx (+ (* (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) -1/8) w0) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* (* M M) h) #s(hole binary64 (* (pow M 2) h)))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) -1/8) w0) #s(hole binary64 w0))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) #s(hole binary64 w0))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ (exp (* (log (* D M)) 2)) (* d d)) 1/4) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (exp (* (log (* D M)) 2)) (* d d)) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) (pow d 2))))
#s(approx (exp (* (log (* D M)) 2)) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* (log (* D M)) 2) #s(hole binary64 (* 2 (+ (log D) (log M)))))
#s(approx (log (* D M)) #s(hole binary64 (+ (log D) (log M))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (* 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))))))))
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#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))) #s(hole binary64 (/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx l #s(hole binary64 l))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (+ (* (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) -1/8) w0) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)))
#s(approx (* (* d d) l) #s(hole binary64 (* (pow d 2) l)))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)))
#s(approx (* l d) #s(hole binary64 (* d l)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (+ 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (+ 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))))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx d #s(hole binary64 d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (+ (* (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) -1/8) w0) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) -1/8) w0) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))

Calls

18 calls:

Time	Variable		Point	Expression
71.0ms	d	@	-inf	((* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))) 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)) (/ (* D (/ M 2)) d) (* D (/ M 2)) D (/ M 2) M 2 d (/ (* (/ (* D (/ M 2)) d) h) l) (* (/ (* D (/ M 2)) d) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) -1/8) w0) (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) (* (* (* (* M M) h) w0) D) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (/ D (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (pow (exp (log D)) 2) (exp (log D)) (log D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) (/ (* (* (* (* (* M M) h) w0) D) D) d) (* (* (* (* (* M M) h) w0) D) D) (* l d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (exp (* (log (* D M)) 2)) (* d d)) 1/4) (/ (exp (* (log (* D M)) 2)) (* d d)) (exp (* (log (* D M)) 2)) (* (log (* D M)) 2) (log (* D M)) (* D M) 1/4 (/ h l))
50.0ms	M	@	-inf	((* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))) 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)) (/ (* D (/ M 2)) d) (* D (/ M 2)) D (/ M 2) M 2 d (/ (* (/ (* D (/ M 2)) d) h) l) (* (/ (* D (/ M 2)) d) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) -1/8) w0) (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) (* (* (* (* M M) h) w0) D) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (/ D (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (pow (exp (log D)) 2) (exp (log D)) (log D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) (/ (* (* (* (* (* M M) h) w0) D) D) d) (* (* (* (* (* M M) h) w0) D) D) (* l d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (exp (* (log (* D M)) 2)) (* d d)) 1/4) (/ (exp (* (log (* D M)) 2)) (* d d)) (exp (* (log (* D M)) 2)) (* (log (* D M)) 2) (log (* D M)) (* D M) 1/4 (/ h l))
47.0ms	D	@	-inf	((* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))) 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)) (/ (* D (/ M 2)) d) (* D (/ M 2)) D (/ M 2) M 2 d (/ (* (/ (* D (/ M 2)) d) h) l) (* (/ (* D (/ M 2)) d) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) -1/8) w0) (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) (* (* (* (* M M) h) w0) D) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (/ D (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (pow (exp (log D)) 2) (exp (log D)) (log D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) (/ (* (* (* (* (* M M) h) w0) D) D) d) (* (* (* (* (* M M) h) w0) D) D) (* l d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (exp (* (log (* D M)) 2)) (* d d)) 1/4) (/ (exp (* (log (* D M)) 2)) (* d d)) (exp (* (log (* D M)) 2)) (* (log (* D M)) 2) (log (* D M)) (* D M) 1/4 (/ h l))
43.0ms	M	@	0	((* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))) 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)) (/ (* D (/ M 2)) d) (* D (/ M 2)) D (/ M 2) M 2 d (/ (* (/ (* D (/ M 2)) d) h) l) (* (/ (* D (/ M 2)) d) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) -1/8) w0) (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) (* (* (* (* M M) h) w0) D) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (/ D (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (pow (exp (log D)) 2) (exp (log D)) (log D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) (/ (* (* (* (* (* M M) h) w0) D) D) d) (* (* (* (* (* M M) h) w0) D) D) (* l d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (exp (* (log (* D M)) 2)) (* d d)) 1/4) (/ (exp (* (log (* D M)) 2)) (* d d)) (exp (* (log (* D M)) 2)) (* (log (* D M)) 2) (log (* D M)) (* D M) 1/4 (/ h l))
36.0ms	D	@	0	((* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))) 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)) (/ (* D (/ M 2)) d) (* D (/ M 2)) D (/ M 2) M 2 d (/ (* (/ (* D (/ M 2)) d) h) l) (* (/ (* D (/ M 2)) d) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) -1/8) w0) (* (* (* (* (* M M) h) w0) D) (/ D (* (* d d) l))) (* (* (* (* M M) h) w0) D) (* (* (* M M) h) w0) (* (* M M) h) (* M M) (/ D (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (* (* d d) l)) (* (* (* (* M M) h) w0) (pow (exp (log D)) 2)) (pow (exp (log D)) 2) (exp (log D)) (log D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) (/ (* (* (* (* (* M M) h) w0) D) D) d) (* (* (* (* (* M M) h) w0) D) D) (* l d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (exp (* (log (* D M)) 2)) (* d d)) 1/4) (/ (exp (* (log (* D M)) 2)) (* d d)) (exp (* (log (* D M)) 2)) (* (log (* D M)) 2) (log (* D M)) (* D M) 1/4 (/ h l))

rewrite227.0ms (2.9%)

Memory

33.5MiB live, 308.8MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1042	15433
0	1117	14642
1	5174	14482
0	8101	14187

Stop Event

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

Counts

311 → 507

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d))) #s(literal 1/2 binary64)) w0)
(.f64 w0 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d))) #s(literal 1/2 binary64)))
w0
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d))))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) (/.f64 (.f64 h (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) (.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) (.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d))))))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l)))
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l) (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d))
(.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d) (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l))
(/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l)) d)
(/.f64 (.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d) (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d))) l)
(/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d))) (*.f64 l d))
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 D d) #s(literal 1 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(.f64 M (pow.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))
(*.f64 D (pow.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) #s(literal 1 binary64)))
(*.f64 D (/.f64 (/.f64 M #s(literal 2 binary64)) d))
(pow.f64 (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D)) (neg.f64 d))
(/.f64 (neg.f64 (.f64 M D)) (neg.f64 (.f64 d #s(literal 2 binary64))))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d)
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) #s(literal 1 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) D)
(*.f64 D (/.f64 M #s(literal 2 binary64)))
(/.f64 (*.f64 M D) #s(literal 2 binary64))
D
(/.f64 (*.f64 #s(literal -1 binary64) M) #s(literal -2 binary64))
(/.f64 M #s(literal 2 binary64))
M
#s(literal 2 binary64)
d
(.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d) (/.f64 h l))
(/.f64 (neg.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d))) (neg.f64 l))
(/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l)
(.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d))
(.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d) h)
(/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) h) d)
h
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) w0))
(/.f64 (-.f64 (.f64 w0 w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))))) (-.f64 w0 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)))) (.f64 w0 w0)) (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l))) w0))
(/.f64 (fma.f64 (.f64 w0 w0) w0 (.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 w0 w0 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)))) (.f64 w0 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 w0 #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)))) (-.f64 (.f64 w0 w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))) w0))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) w0)
(fma.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64) w0)
(fma.f64 (.f64 (.f64 D (.f64 M M)) (.f64 h w0)) (.f64 (/.f64 (/.f64 D (.f64 d d)) l) #s(literal -1/8 binary64)) w0)
(-.f64 w0 (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l))))
(+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l))) w0)
(+.f64 w0 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l))))
(.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))
(.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 h w0) (.f64 M M)) l))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (*.f64 d d) l)))
(.f64 (/.f64 (/.f64 D (.f64 d d)) l) (.f64 (.f64 D (.f64 M M)) (.f64 h w0)))
(.f64 (.f64 (.f64 D (.f64 M M)) (.f64 h w0)) (/.f64 (/.f64 D (.f64 d d)) l))
(.f64 (.f64 (.f64 h w0) (.f64 M M)) (/.f64 (.f64 D D) (.f64 (*.f64 d d) l)))
(.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 D (/.f64 (/.f64 D (.f64 d d)) l)))
(/.f64 (/.f64 (.f64 (.f64 (.f64 D (.f64 M M)) (*.f64 h w0)) (/.f64 D d)) l) d)
(/.f64 (neg.f64 (.f64 (.f64 (.f64 D (.f64 M M)) (.f64 h w0)) (/.f64 D d))) (neg.f64 (.f64 l d)))
(/.f64 (neg.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0))) (neg.f64 (.f64 (*.f64 d d) l)))
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 d d)) l)
(/.f64 (.f64 (.f64 (.f64 D (.f64 M M)) (.f64 h w0)) (/.f64 D d)) (.f64 l d))
(/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 (*.f64 d d) l))
(.f64 (.f64 D (.f64 M M)) (.f64 h w0))
(.f64 (.f64 (.f64 M M) h) (.f64 w0 D))
(.f64 (.f64 (.f64 h w0) (.f64 M M)) D)
(.f64 D (.f64 (.f64 h w0) (.f64 M M)))
(.f64 (.f64 h w0) (*.f64 M M))
(.f64 (.f64 (*.f64 M M) h) w0)
(.f64 (.f64 M M) (*.f64 h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(.f64 (.f64 M M) h)
(.f64 h (.f64 M M))
(.f64 M (.f64 h M))
(.f64 (.f64 #s(literal -1 binary64) M) (*.f64 #s(literal -1 binary64) M))
(*.f64 (fabs.f64 M) (fabs.f64 M))
(*.f64 M M)
(pow.f64 (*.f64 #s(literal -1 binary64) M) #s(literal 2 binary64))
(pow.f64 (fabs.f64 M) #s(literal 2 binary64))
(pow.f64 (*.f64 M M) #s(literal 1 binary64))
(pow.f64 M #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 M) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 M) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 M) #s(literal 2 binary64))))
(/.f64 (/.f64 D (*.f64 d d)) l)
(/.f64 (.f64 #s(literal -1 binary64) D) (neg.f64 (.f64 (*.f64 d d) l)))
(/.f64 D (.f64 (.f64 d d) l))
(.f64 (.f64 d d) l)
(.f64 l (.f64 d d))
(.f64 d (.f64 l d))
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)))
(*.f64 (neg.f64 d) (neg.f64 d))
(*.f64 (fabs.f64 d) (fabs.f64 d))
(*.f64 d d)
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64))
(pow.f64 (neg.f64 d) #s(literal 2 binary64))
(pow.f64 (fabs.f64 d) #s(literal 2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1 binary64))
(pow.f64 d #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 d) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 d) #s(literal 2 binary64))))
#s(literal -1/8 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) w0))
(/.f64 (-.f64 (.f64 w0 w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))))) (-.f64 w0 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)))) (.f64 w0 w0)) (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l))) w0))
(/.f64 (fma.f64 (.f64 w0 w0) w0 (.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 w0 w0 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)))) (.f64 w0 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 w0 #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)))) (-.f64 (.f64 w0 w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))) w0))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) w0)
(fma.f64 (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal -1/8 binary64) w0)
(fma.f64 (.f64 (.f64 D (.f64 M M)) (.f64 h w0)) (.f64 (/.f64 (/.f64 D (.f64 d d)) l) #s(literal -1/8 binary64)) w0)
(-.f64 w0 (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l))))
(+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l))) w0)
(+.f64 w0 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l))))
(.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (.f64 D D) l))
(.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 h w0) (.f64 M M)) l))
(.f64 (.f64 D D) (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (*.f64 d d) l)))
(.f64 (/.f64 (/.f64 D (.f64 d d)) l) (.f64 (.f64 D (.f64 M M)) (.f64 h w0)))
(.f64 (.f64 (.f64 D (.f64 M M)) (.f64 h w0)) (/.f64 (/.f64 D (.f64 d d)) l))
(.f64 (.f64 (.f64 h w0) (.f64 M M)) (/.f64 (.f64 D D) (.f64 (*.f64 d d) l)))
(.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 D (/.f64 (/.f64 D (.f64 d d)) l)))
(/.f64 (/.f64 (.f64 (.f64 (.f64 D (.f64 M M)) (*.f64 h w0)) (/.f64 D d)) l) d)
(/.f64 (neg.f64 (.f64 (.f64 (.f64 D (.f64 M M)) (.f64 h w0)) (/.f64 D d))) (neg.f64 (.f64 l d)))
(/.f64 (neg.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0))) (neg.f64 (.f64 (*.f64 d d) l)))
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 d d)) l)
(/.f64 (.f64 (.f64 (.f64 D (.f64 M M)) (.f64 h w0)) (/.f64 D d)) (.f64 l d))
(/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 (*.f64 d d) l))
(.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (*.f64 h w0))
(.f64 (.f64 (.f64 M M) h) (.f64 w0 (*.f64 D D)))
(.f64 (.f64 D D) (.f64 (.f64 h w0) (*.f64 M M)))
(.f64 (.f64 (.f64 D (.f64 M M)) (*.f64 h w0)) D)
(.f64 (.f64 (.f64 h w0) (.f64 M M)) (*.f64 D D))
(.f64 D (.f64 (.f64 D (.f64 M M)) (*.f64 h w0)))
(*.f64 D D)
(pow.f64 (*.f64 D D) #s(literal 1 binary64))
(pow.f64 D #s(literal 2 binary64))
(exp.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 D)) #s(literal -1 binary64) (log.f64 D)))
(exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 D) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 D) #s(literal 2 binary64))))
D
(.f64 (.f64 #s(literal -1 binary64) (log.f64 D)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (log.f64 D)))
(neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 D)))
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#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 d d)) (/.f64 (*.f64 D D) l))))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 (.f64 M M))) (.f64 M M)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) M))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))) M))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (.f64 M M) #s(literal 3 binary64))) (pow.f64 (.f64 D D) #s(literal 5/2 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))) M))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (-.f64 (pow.f64 (.f64 M M) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M)))
#s(approx (* (log (* D M)) 2) (fma.f64 (log.f64 M) #s(literal 2 binary64) (*.f64 (log.f64 D) #s(literal 2 binary64))))
#s(approx (log (* D M)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 D)) #s(literal -1 binary64) (log.f64 M)))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D) d)) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) w0) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (.f64 M M) #s(literal 3 binary64))) (pow.f64 (.f64 D D) #s(literal 5/2 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) d)) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (.f64 M M) #s(literal 3 binary64))) (pow.f64 (.f64 D D) #s(literal 5/2 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D) d)) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) w0) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (.f64 M M) #s(literal 3 binary64))) (pow.f64 (.f64 D D) #s(literal 5/2 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) d)) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) M) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 M M) #s(literal 2 binary64))) (.f64 (.f64 D D) D)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (.f64 M M) #s(literal 3 binary64))) (pow.f64 (.f64 D D) #s(literal 5/2 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 M M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) D) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))))
#s(approx (* (log (* D M)) 2) (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 D)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) M) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (log (* D M)) (fma.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 M)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 D)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 D D) w0))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) (.f64 (.f64 (.f64 h h) h) w0)) (.f64 (.f64 l l) l))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 D D) w0))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) (.f64 (.f64 h h) h)) (.f64 (.f64 l l) l))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D) #s(literal 1 binary64)))
#s(approx (exp (log D)) D)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 (.f64 h h) w0)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 D D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) (.f64 (.f64 (.f64 h h) h) w0)) (.f64 (.f64 l l) l))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 D D) w0))
#s(approx (/ D (* (* d d) l)) (/.f64 (/.f64 D (*.f64 d d)) l))
#s(approx (pow (exp (log D)) 2) (*.f64 D D))
#s(approx (exp (log D)) D)
#s(approx (log D) (log.f64 D))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (pow.f64 (.f64 d d) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) (.f64 (.f64 h h) h)) (.f64 (.f64 l l) l))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) D))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))) D))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) w0) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 5 binary64)) (pow.f64 (.f64 D D) #s(literal 3 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))) D))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) D))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) d) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))) D))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 d d) d) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 5 binary64)) (pow.f64 (.f64 D D) #s(literal 3 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))) D))
#s(approx (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))) (.f64 (-.f64 (pow.f64 (.f64 D D) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) D))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))) D))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) w0) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 5 binary64)) (pow.f64 (.f64 D D) #s(literal 3 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))) D))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 (.f64 D D))) (.f64 D D)))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 (.f64 D D))) (.f64 D D)))
#s(approx (log D) (log.f64 D))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 (.f64 D D))) (.f64 D D)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) D))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) d) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))) D))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 d d) d) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 5 binary64)) (pow.f64 (.f64 D D) #s(literal 3 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))) D))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (-.f64 (pow.f64 (.f64 D D) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D)))
#s(approx (* (log (* D M)) 2) (fma.f64 (log.f64 M) #s(literal 2 binary64) (*.f64 (log.f64 D) #s(literal 2 binary64))))
#s(approx (log (* D M)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 D)) #s(literal -1 binary64) (log.f64 M)))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (.f64 #s(literal -1 binary64) D) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (.f64 #s(literal -1 binary64) D) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (.f64 #s(literal -1 binary64) D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) w0) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 5 binary64)) (pow.f64 (.f64 D D) #s(literal 3 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (.f64 #s(literal -1 binary64) D) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (.f64 #s(literal -1 binary64) D) (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) d) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (.f64 #s(literal -1 binary64) D) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))))
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#s(approx (log D) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 D)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) D) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) D) (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) d) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) D) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 d d) d) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 3 binary64)) (pow.f64 (.f64 D D) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) #s(literal 5 binary64)) (pow.f64 (.f64 D D) #s(literal 3 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) d) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64))))))))
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#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) h) w0) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) w0)) (.f64 (.f64 d d) l))) h w0))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 3 binary64)) (pow.f64 (.f64 d d) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) h) w0) (.f64 (.f64 l l) l))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) w0) (.f64 l l))) #s(literal -1/128 binary64))) h (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) w0)) (.f64 (.f64 d d) l))) h w0))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) h) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) (.f64 (.f64 d d) l))) h #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 3 binary64)) (pow.f64 (.f64 d d) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) h) (.f64 (.f64 l l) l))) #s(literal -1/1024 binary64) (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 (.f64 M D) #s(literal 4 binary64))) (.f64 (.f64 l l) (pow.f64 (.f64 d d) #s(literal 2 binary64))))) h (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) (.f64 (.f64 d d) l))) h #s(literal 1 binary64)))
#s(approx h h)
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 3 binary64)) (pow.f64 (.f64 d d) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) h) w0) (.f64 (.f64 l l) l))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) w0) (.f64 l l))) #s(literal -1/128 binary64))) h (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) w0)) (.f64 (.f64 d d) l))) h w0))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) h) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) (.f64 (.f64 d d) l))) h #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 3 binary64)) (pow.f64 (.f64 d d) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) h) (.f64 (.f64 l l) l))) #s(literal -1/1024 binary64) (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 (.f64 M D) #s(literal 4 binary64))) (.f64 (.f64 l l) (pow.f64 (.f64 d d) #s(literal 2 binary64))))) h (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) (.f64 (.f64 d d) l))) h #s(literal 1 binary64)))
#s(approx (/ h l) (/.f64 h l))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (fma.f64 (.f64 (pow.f64 (/.f64 l (.f64 (.f64 h h) h)) #s(literal 1/2 binary64)) (.f64 (/.f64 d D) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)))) #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D) d))) h))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 l l) l) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (pow.f64 (/.f64 l (.f64 (.f64 h h) h)) #s(literal 1/2 binary64)) (.f64 (/.f64 d D) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)))) #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D) d)))) h))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 d d) d) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 l l) l) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 5 binary64))))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 7/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (pow.f64 (/.f64 l (.f64 (.f64 h h) h)) #s(literal 1/2 binary64)) (.f64 (/.f64 d D) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)))) #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D) d))))) h))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D))) (pow.f64 (/.f64 l (.f64 (.f64 h h) h)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) d))) h))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 d d) d) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 l l) l) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D))) (pow.f64 (/.f64 l (.f64 (.f64 h h) h)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) d)))) h))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 d d) d) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 l l) l) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 d d) #s(literal 5/2 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 5 binary64))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 7/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D))) (pow.f64 (/.f64 l (.f64 (.f64 h h) h)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) d))))) h))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 h h)) (.f64 l l))) #s(literal -1/128 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 3 binary64)) (pow.f64 (.f64 d d) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 3 binary64)) (.f64 (.f64 h h) h)) (.f64 (.f64 l l) l))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D D) #s(literal 2 binary64)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 M M) #s(literal 2 binary64)) (.f64 h h)) (*.f64 l l))) #s(literal -1/128 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 (pow.f64 (.f64 d d) #s(literal 2 binary64)) l)) #s(literal 1/128 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (*.f64 d d)) #s(literal 1/8 binary64))) l) #s(literal -1 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 6 binary64)) (.f64 (.f64 (.f64 h h) h) w0)) (.f64 (pow.f64 (.f64 d d) #s(literal 3 binary64)) l)) #s(literal -1/1024 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) #s(literal -1/128 binary64))) l) #s(literal -1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 d d)) #s(literal 1/8 binary64))) l) #s(literal -1 binary64) w0))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 h h)) (.f64 (pow.f64 (.f64 d d) #s(literal 2 binary64)) l)) #s(literal 1/128 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 6 binary64)) (.f64 (.f64 h h) h)) (.f64 (pow.f64 (.f64 d d) #s(literal 3 binary64)) l)) #s(literal -1/1024 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 h h)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) #s(literal -1/128 binary64))) l) #s(literal -1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (.f64 (pow.f64 (.f64 d d) #s(literal 2 binary64)) l)) #s(literal 1/128 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (*.f64 d d)) #s(literal 1/8 binary64))) l) #s(literal -1 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 6 binary64)) (.f64 (.f64 (.f64 h h) h) w0)) (.f64 (pow.f64 (.f64 d d) #s(literal 3 binary64)) l)) #s(literal -1/1024 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) #s(literal -1/128 binary64))) l) #s(literal -1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) (.f64 d d)) #s(literal 1/8 binary64))) l) #s(literal -1 binary64) w0))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 h h)) (.f64 (pow.f64 (.f64 d d) #s(literal 2 binary64)) l)) #s(literal 1/128 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 6 binary64)) (.f64 (.f64 h h) h)) (.f64 (pow.f64 (.f64 d d) #s(literal 3 binary64)) l)) #s(literal -1/1024 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 4 binary64)) (.f64 h h)) (pow.f64 (.f64 d d) #s(literal 2 binary64))) #s(literal -1/128 binary64))) l) #s(literal -1 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 d d) D) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 w0 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (.f64 d d) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 d d) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 5 binary64)))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D))) d))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d d) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (/.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal -1 binary64)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (sqrt (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 5 binary64))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal -1 binary64))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (- 1 (* (/ (* D (/ M 2)) d) (/ (* (/ (* D (/ M 2)) d) h) l))) (/.f64 (fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (.f64 d d)))
#s(approx d d)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 d d) D) (/.f64 w0 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 w0 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (.f64 d d) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 d d) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 5 binary64)))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) w0) M) D))) d))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) l) #s(literal -1/8 binary64) (.f64 (.f64 d d) w0)) (.f64 d d)))
#s(approx (* d d) (*.f64 d d))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) l) #s(literal -1/8 binary64) (.f64 (.f64 d d) w0)) (.f64 d d)))
#s(approx (+ (* (/ (/ (* (* (* (* (* M M) h) w0) D) D) d) (* l d)) -1/8) w0) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) (.f64 h w0)) l) #s(literal -1/8 binary64) (.f64 (.f64 d d) w0)) (.f64 d d)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 d d) D) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal -1 binary64)) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 5 binary64))) (/.f64 (pow.f64 (pow.f64 (.f64 l l) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 h h) #s(literal 5/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) #s(literal -1 binary64))) (pow.f64 (/.f64 l h) #s(literal 1/2 binary64)))) (.f64 d d) (.f64 (.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) M) D) (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)))) d))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (.f64 d d)))

eval116.0ms (1.5%)

Memory: -29.5MiB live, 131.2MiB allocated; 91ms collecting garbage
Compiler: Compiled 29 706 to 2 808 computations (90.5% saved)

prune349.0ms (4.5%)

Memory

-10.9MiB live, 465.3MiB allocated; 27ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	585	8	593
Fresh	2	1	3
Picked	2	3	5
Done	1	3	4
Total	590	15	605

Accuracy

89.2%

Counts

605 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) h)) l))))
✓	84.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 D M) #s(literal 2 binary64)) d) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) h) l))))
	84.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 (.f64 h (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l)) d))))
	81.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) d) (.f64 (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) (/.f64 h l))))))
✓	65.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (.f64 D M)) #s(literal 2 binary64))) (.f64 d d)) #s(literal 1/4 binary64))) (/.f64 h l)))))
	38.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (.f64 d d)))))
✓	64.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64))))
	69.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 (.f64 (log.f64 M) #s(literal 2 binary64))) h) w0) D) D) d) (.f64 l d)) #s(literal -1/8 binary64) w0))
	64.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (.f64 M M)) (.f64 h w0)) D) d) (.f64 l d)) #s(literal -1/8 binary64) w0))
	59.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h w0) (exp.f64 (.f64 (log.f64 M) #s(literal 2 binary64)))) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
✓	50.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (pow.f64 (exp.f64 (log.f64 D)) #s(literal 2 binary64))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) w0))
	52.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (pow.f64 (exp.f64 (log.f64 D)) #s(literal 2 binary64))) (.f64 d (.f64 l d))) #s(literal -1/8 binary64) w0))
	64.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) (/.f64 D (.f64 (pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64)) l))) #s(literal -1/8 binary64) w0))
✓	64.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) (/.f64 D (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
	66.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) (/.f64 D (.f64 d (*.f64 l d)))) #s(literal -1/8 binary64) w0))

Compiler

Compiled 1 593 to 631 computations (60.4% saved)

regimes132.0ms (1.7%)

Memory

37.2MiB live, 277.3MiB allocated; 31ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

15 calls:

14.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
11.0ms	h
11.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
11.0ms	M
10.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
86.5%	1	`(/.f64 h l)`
86.5%	1	`(*.f64 #s(literal 2 binary64) d)`
86.5%	1	`(*.f64 M D)`
86.5%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.5%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
86.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
86.5%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
86.5%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
86.5%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
86.5%	1	`w0`
86.5%	1	`M`
86.5%	1	`D`
86.5%	1	`h`
86.5%	1	`l`
86.5%	1	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes175.0ms (2.3%)

Memory

2.0MiB live, 195.8MiB allocated; 14ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

33.0ms	(*.f64 #s(literal 2 binary64) d)
31.0ms	(.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)))))
24.0ms	D
10.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
8.0ms	l

Results

Accuracy	Segments	Branch
85.4%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
85.4%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
85.4%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
85.4%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
85.4%	1	`M`
85.4%	1	`l`
85.4%	1	`(/.f64 h l)`
87.0%	2	`(*.f64 #s(literal 2 binary64) d)`
85.4%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.4%	1	`w0`
85.4%	1	`D`
85.4%	1	`h`
87.0%	2	`d`
85.4%	1	`(*.f64 M D)`
85.4%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes23.0ms (0.3%)

Memory

-6.5MiB live, 41.0MiB allocated; 0ms collecting garbage

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

15.0ms	d
7.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
87.0%	2	`(*.f64 #s(literal 2 binary64) d)`
87.0%	2	`d`

Compiler

Compiled 4 to 14 computations (-250% saved)

regimes29.0ms (0.4%)

Memory

0.5MiB live, 47.5MiB allocated; 3ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

Calls

4 calls:

8.0ms	d
7.0ms	(*.f64 #s(literal 2 binary64) d)
7.0ms	h
6.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
85.4%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.4%	1	`h`
85.4%	1	`(*.f64 #s(literal 2 binary64) d)`
85.4%	1	`d`

Compiler

Compiled 12 to 30 computations (-150% saved)

regimes107.0ms (1.4%)

Memory

7.6MiB live, 189.7MiB allocated; 14ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

11.0ms	h
11.0ms	(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))))
8.0ms	(*.f64 M D)
6.0ms	l
6.0ms	d

Results

Accuracy	Segments	Branch
81.7%	1	`M`
83.3%	2	`D`
81.7%	1	`l`
86.3%	3	`(/.f64 h l)`
83.7%	2	`(*.f64 #s(literal 2 binary64) d)`
84.1%	2	`(*.f64 M D)`
84.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
85.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
85.0%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
85.4%	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))))`
85.4%	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)))))`
81.7%	1	`w0`
83.7%	2	`d`
84.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
83.6%	2	`h`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes113.0ms (1.5%)

Memory

-13.3MiB live, 168.8MiB allocated; 30ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

18.0ms	M
13.0ms	h
13.0ms	(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))))
7.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
6.0ms	d

Results

Accuracy	Segments	Branch
74.1%	3	`w0`
77.2%	3	`M`
75.4%	3	`l`
76.0%	2	`D`
75.2%	3	`h`
79.7%	3	`(*.f64 #s(literal 2 binary64) d)`
79.7%	3	`d`
81.3%	3	`(*.f64 M D)`
76.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
76.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.8%	2	`(/.f64 h l)`
81.6%	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)))`
82.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
81.2%	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))))`
78.2%	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)))))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes55.0ms (0.7%)

Memory

-9.9MiB live, 43.7MiB allocated; 22ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

28.0ms	(*.f64 #s(literal 2 binary64) d)
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	d
4.0ms	(/.f64 h l)
4.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
72.7%	2	`(*.f64 #s(literal 2 binary64) d)`
72.7%	2	`d`
76.1%	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)))))`
75.7%	2	`(/.f64 h l)`
73.5%	2	`(*.f64 M D)`
76.1%	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))))`
76.5%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
76.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 72 to 89 computations (-23.6% saved)

regimes62.0ms (0.8%)

Memory

17.5MiB live, 109.2MiB allocated; 9ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

15 calls:

8.0ms	(.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)))))
6.0ms	d
4.0ms	(*.f64 #s(literal 2 binary64) d)
4.0ms	l
4.0ms	w0

Results

Accuracy	Segments	Branch
69.5%	1	`w0`
69.5%	1	`(*.f64 #s(literal 2 binary64) d)`
69.5%	1	`d`
69.5%	1	`(*.f64 M D)`
69.5%	1	`h`
69.5%	1	`l`
69.5%	1	`M`
69.5%	1	`(/.f64 h l)`
69.5%	1	`D`
69.5%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
69.5%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
69.5%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
69.5%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
69.5%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
69.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes66.0ms (0.9%)

Memory

-17.0MiB live, 82.8MiB allocated; 7ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

19.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
5.0ms	w0
3.0ms	M
3.0ms	(*.f64 #s(literal 2 binary64) d)
3.0ms	l

Results

Accuracy	Segments	Branch
68.8%	2	`(*.f64 #s(literal 2 binary64) d)`
66.3%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
68.8%	2	`d`
67.9%	2	`(/.f64 h l)`
68.4%	2	`(*.f64 M D)`
66.3%	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))))`
66.3%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
68.4%	2	`M`
66.3%	1	`h`
66.3%	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)))`
66.3%	1	`w0`
68.0%	2	`D`
66.3%	1	`l`
66.3%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
66.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes25.0ms (0.3%)

Memory

36.9MiB live, 36.9MiB allocated; 0ms collecting garbage

Accuracy

Total -12.1b remaining (-56.3%)

Threshold costs -12.1b (-56.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
66.3%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
66.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
66.3%	1	`(/.f64 h l)`
66.3%	1	`D`
66.3%	1	`(*.f64 M D)`
66.3%	1	`M`
66.3%	1	`(*.f64 #s(literal 2 binary64) d)`
66.3%	1	`d`

Compiler

Compiled 28 to 61 computations (-117.9% saved)

bsearch15.0ms (0.2%)

Memory

-43.5MiB live, 3.9MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
14.0ms	2.6441209484154223e+42	3.6965884255343917e+45

Samples

13.0ms	16×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 69 to 63 computations (8.7% saved)

Precisions

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

ival-mult: 12.0ms (97.1% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

ival-pow2: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	2.6441209484154223e+42	3.6965884255343917e+45

Compiler

Compiled 69 to 62 computations (10.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-793728459437303.9	-6.791235003844755e-18

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.08656989352064e+92	-2.4910793324494343e+65

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch27.0ms (0.4%)

Memory

41.9MiB live, 41.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.0426688938658723e-81	2.491621534239701e-63

Samples

15.0ms	160×	0	valid
1.0ms	13×	0	invalid

Compiler

Compiled 801 to 606 computations (24.3% saved)

Precisions

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

ival-mult: 4.0ms (37.3% of total)

ival-div: 2.0ms (18.7% of total)

ival-pow2: 2.0ms (18.7% of total)

ival-sub: 1.0ms (9.3% of total)

ival-sqrt: 1.0ms (9.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify61.0ms (0.8%)

Memory

-6.9MiB live, 81.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	543
1	170	543
2	289	543
3	1114	543
4	6020	543

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) h)) l))))
(if (<=.f64 d #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l)) d)))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) h) l)))))
(if (<=.f64 d #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) d) (/.f64 (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) d) h) l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) h) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) d) (/.f64 (.f64 (/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d) h) l)))))
(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 +inf.0 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) d) (.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d) (/.f64 h l)))))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 1 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64))) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (pow.f64 h #s(literal -1 binary64))) h)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000000000000021688648487309593036645146662475969655895886894668058406444840555470661877760 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 (.f64 (log.f64 M) #s(literal 2 binary64))) h) w0) D) D) d) (.f64 l d)) #s(literal -1/8 binary64) w0)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 (.f64 (log.f64 M) #s(literal 2 binary64))) h) w0) D) D) d) (.f64 l d)) #s(literal -1/8 binary64) w0))
(if (<=.f64 d #s(literal 8299976956530825/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (.f64 M M)) (.f64 h w0)) D) d) (.f64 l d)) #s(literal -1/8 binary64) w0)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) (/.f64 D (.f64 d (*.f64 l d)))) #s(literal -1/8 binary64) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) (/.f64 D (.f64 d (*.f64 l d)))) #s(literal -1/8 binary64) w0))

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 1 binary64)) (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64))) h)) l))))
(if (<=.f64 d #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l)) d)))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) h) l)))))
(if (<=.f64 d #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 (.f64 h (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d)) l)) (.f64 #s(literal -1 binary64) d))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) h) l)))))
(if (<=.f64 d #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) d) (/.f64 (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) d) h) l))))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) h) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) d) (/.f64 (.f64 (/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d) h) l)))))
(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 +inf.0 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) d) (.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) d) (/.f64 h l)))))) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 1 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64))) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (pow.f64 h #s(literal -1 binary64))) h)))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000000000000021688648487309593036645146662475969655895886894668058406444840555470661877760 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 (.f64 (log.f64 M) #s(literal 2 binary64))) h) w0) D) D) d) (.f64 l d)) #s(literal -1/8 binary64) w0)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 (.f64 (log.f64 M) #s(literal 2 binary64))) h) w0) D) D) d) (.f64 l d)) #s(literal -1/8 binary64) w0))
(if (<=.f64 d #s(literal 8299976956530825/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (.f64 M M)) (.f64 h w0)) D) d) (.f64 l d)) #s(literal -1/8 binary64) w0)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) (/.f64 D (.f64 d (*.f64 l d)))) #s(literal -1/8 binary64) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) (/.f64 D (.f64 d (*.f64 l d)))) #s(literal -1/8 binary64) w0))

derivations259.0ms (3.4%)

Memory

-6.7MiB live, 230.2MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 545 to 132 computations (75.8% saved)

preprocess193.0ms (2.5%)

Memory

-10.8MiB live, 221.5MiB allocated; 55ms collecting garbage

Remove

(abs D)

(sort M D)

(negabs w0)

(abs M)

Compiler

Compiled 1 990 to 794 computations (60.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze565.0ms (7.3%)

sample2.5s (32.7%)

explain266.0ms (3.5%)

preprocess150.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

series87.0ms (1.1%)

rewrite145.0ms (1.9%)

eval18.0ms (0.2%)

prune37.0ms (0.5%)

series165.0ms (2.1%)

rewrite244.0ms (3.2%)

eval98.0ms (1.3%)

prune223.0ms (2.9%)

series155.0ms (2%)

rewrite263.0ms (3.4%)

eval71.0ms (0.9%)

prune247.0ms (3.2%)

series417.0ms (5.4%)

rewrite227.0ms (2.9%)

eval116.0ms (1.5%)

prune349.0ms (4.5%)

regimes132.0ms (1.7%)

regimes175.0ms (2.3%)

regimes23.0ms (0.3%)

regimes29.0ms (0.4%)

regimes107.0ms (1.4%)

regimes113.0ms (1.5%)

regimes55.0ms (0.7%)

regimes62.0ms (0.8%)

regimes66.0ms (0.9%)

regimes25.0ms (0.3%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch27.0ms (0.4%)

simplify61.0ms (0.8%)

derivations259.0ms (3.4%)

preprocess193.0ms (2.5%)

end0.0ms (0%)

Profiling