Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

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

analyze796.0ms (12.2%)

Memory

13.6MiB live, 565.5MiB allocated; 1.0s 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)

sample1.9s (29.5%)

Memory

62.8MiB live, 2 313.8MiB allocated; 351ms collecting garbage

Samples

953.0ms	8 256×	0	valid
350.0ms	2 701×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 827.0ms

ival-mult: 366.0ms (44.3% of total)

ival-div: 153.0ms (18.5% of total)

ival-pow2: 122.0ms (14.8% of total)

ival-sqrt: 99.0ms (12% of total)

ival-sub: 66.0ms (8% of total)

exact: 13.0ms (1.6% of total)

ival-assert: 4.0ms (0.5% of total)

adjust: 3.0ms (0.4% of total)

Bogosity

explain268.0ms (4.1%)

Memory

14.2MiB live, 391.2MiB allocated; 58ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
50	-	1	(-2.830877671483527e-185 -7.259215985138655e+192 3.0296399799609073e-141 -2.1445553267091274e-291 8.995818396397158e+28 -8.151461916331815e-84)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
31	-	0	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
21	-	1	(-2.8394812200208783e-87 2.129423561617281e-166 -6.114036621934072e-153 -1.8958375782350616e+140 7.470921336458512e-70 -5.486722292266325e-63)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
4	-	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	31	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	70
↳	`(-.f64 #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	62
↳	`(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	31
↳	`(*.f64 M D)`	overflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	29
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	62
↳	`(/.f64 h l)`	overflow	28
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	9	0
↳	`(*.f64 M D)`	overflow	26
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	7	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	70
↳	`(*.f64 M D)`	overflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	29
↳	`(/.f64 h l)`	underflow	28
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	7	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**	4	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	36
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	99
↳	`(*.f64 M D)`	underflow	36
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	41
↳	`(/.f64 h l)`	overflow	28

Confusion

	Predicted +	Predicted -
+	38	14
-	15	189

Precision

0.7169811320754716

Recall

0.7307692307692307

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	14
-	15	0	189

Precision?

0.7169811320754716

Recall?

0.7307692307692307

Freqs

test

number	freq
0	203
1	46
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 20.0ms (44.9% of total)

ival-mult: 12.0ms (27% of total)

ival-pow2: 5.0ms (11.2% of total)

ival-sqrt: 3.0ms (6.7% of total)

ival-sub: 2.0ms (4.5% of total)

exact: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess214.0ms (3.3%)

Memory

-67.7MiB live, 174.6MiB allocated; 65ms 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 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.0%	(.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)))))

Compiler

Compiled 18 to 17 computations (5.6% saved)

series99.0ms (1.5%)

Memory

19.3MiB live, 211.8MiB allocated; 23ms 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
19.0ms	h	@	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)
8.0ms	M	@	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	@	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)
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	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)

rewrite161.0ms (2.5%)

Memory

-9.9MiB live, 131.7MiB allocated; 13ms 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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))))
w0
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) 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 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)) #s(literal 1 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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 h w0)) (.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 (.f64 (pow.f64 (.f64 M h) #s(literal 2 binary64)) w0) (pow.f64 D #s(literal 4 binary64))) (.f64 (.f64 l l) (pow.f64 d #s(literal 4 binary64)))) #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 (pow.f64 h #s(literal 3 binary64)) w0) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.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 (pow.f64 (.f64 M h) #s(literal 2 binary64)) (.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 (pow.f64 h #s(literal 3 binary64)) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
#s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))
#s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.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 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64))) M))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #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 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 5/2 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64))))) M))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))) M))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #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 (pow.f64 d #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 5/2 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #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 D M) #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 M #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64))) M)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64)))) M)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 5/2 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (.f64 d w0) D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M)))) #s(literal 1/2 binary64))))) M)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))) M)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64)))) M)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 5/2 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))))) M)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) (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) (/.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 (.f64 D D) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #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 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 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) (/.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 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 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 D D)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #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 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #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 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 5 binary64)) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))))) D))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))) D))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #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 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 5 binary64)) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))))) D))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (-.f64 (pow.f64 D #s(literal -2 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))))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 5 binary64)) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (/.f64 d (.f64 D D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))))) D)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))) D)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64)))) D)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 5 binary64)) (pow.f64 D #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 4 binary64)) (.f64 h w0)) (pow.f64 d #s(literal 4 binary64))) (.f64 l l)) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) w0) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) h 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 (pow.f64 M #s(literal 6 binary64)) h) w0) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 4 binary64)) w0) (pow.f64 d #s(literal 4 binary64))) (.f64 l l)) #s(literal -1/128 binary64))) h (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) h w0))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 4 binary64)) h) (pow.f64 d #s(literal 4 binary64))) (.f64 l l)) #s(literal -1/128 binary64) (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) 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 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) h) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 (.f64 D M) #s(literal 4 binary64))) (.f64 (.f64 l l) (pow.f64 d #s(literal 4 binary64))))) h (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) h #s(literal 1 binary64)))
#s(approx (/ h l) (/.f64 h l))
#s(approx h h)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d) (.f64 (.f64 (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))) (.f64 (/.f64 d D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)))) #s(literal 1/2 binary64))) h))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d) (.f64 (.f64 (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))) (.f64 (/.f64 d D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)))) #s(literal 1/2 binary64)))) h))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (pow.f64 (.f64 D M) #s(literal 5 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 5/2 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d) (.f64 (.f64 (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))) (.f64 (/.f64 d D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)))) #s(literal 1/2 binary64))))) h))
#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 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) h))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d)))) h))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 (.f64 D M) #s(literal 5 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 5/2 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))))) h))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (pow.f64 h #s(literal -1 binary64))) h))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) w0) M) D) d)) (sqrt.f64 (/.f64 h l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) w0) M) D) d)) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 d D) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) w0) M)) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))))) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) w0) (pow.f64 d #s(literal 3 binary64))) (pow.f64 (.f64 D M) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) w0) M) D) d)) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 d D) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) w0) M)) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64))))))) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) w0) (pow.f64 d #s(literal 3 binary64))) (pow.f64 (.f64 D M) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) w0) M) D) d)) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) w0) (pow.f64 d #s(literal 5 binary64))) (pow.f64 (.f64 D M) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64))))) #s(literal 2 binary64) (.f64 (.f64 (/.f64 d D) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) w0) M)) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))))))) h)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) M) D) d)) (sqrt.f64 (/.f64 h l))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) M) D) d)) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (.f64 (*.f64 (/.f64 d D) (/.f64 (sqrt.f64 #s(literal -1 binary64)) M)) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))))) h)))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 d #s(literal 3 binary64))) (pow.f64 (.f64 D M) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) M) D) d)) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 d #s(literal 5 binary64))) (pow.f64 (.f64 D M) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64))))) #s(literal 2 binary64) (.f64 (*.f64 (/.f64 d D) (/.f64 (sqrt.f64 #s(literal -1 binary64)) M)) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))))))) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) (pow.f64 h #s(literal -1 binary64))) h))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d) (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) (.f64 (/.f64 d D) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)))) #s(literal 1/2 binary64))) l))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (.f64 (/.f64 d D) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)))) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64))))) #s(literal -1/8 binary64))) (.f64 l l) (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 d D) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)))) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 5 binary64)) l) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (pow.f64 (.f64 D M) #s(literal 5 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 5/2 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64))))) #s(literal -1/8 binary64))) (.f64 l l))) (.f64 l l) (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l))
#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 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) l))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64))))) #s(literal -1/8 binary64))) (.f64 l l) (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 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 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 5 binary64)) l) #s(literal -1 binary64))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 (.f64 D M) #s(literal 5 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 5/2 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64))))) #s(literal -1/8 binary64))) (.f64 l l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (.f64 l l) (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) l))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 h w0)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) w0) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) (*.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 h w0)) (.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 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 4 binary64)) (.f64 (.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) (.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 4 binary64)) (.f64 h h)) (pow.f64 d #s(literal 4 binary64))) (*.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.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)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 4 binary64)) (.f64 h h)) (pow.f64 d #s(literal 4 binary64))) (*.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 h w0)) (.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 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 h w0)) (.f64 d d)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (pow.f64 h #s(literal 3 binary64)) 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))) 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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.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 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 d d)) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (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))) 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 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (/.f64 (.f64 (.f64 d d) w0) (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 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 w0 (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 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 #s(literal -1/4 binary64) #s(literal 5/2 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 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 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal -1 binary64))) (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (/.f64 (.f64 d d) (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) 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) (pow.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 3 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 3/2 binary64))) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 d d) (.f64 (pow.f64 (.f64 D M) #s(literal 5 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal 5/2 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal -1 binary64))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 d d (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) l))) (.f64 d d)))
#s(approx (* 2 d) (*.f64 d #s(literal 2 binary64)))
#s(approx d d)

eval16.0ms (0.2%)

Memory: 32.6MiB live, 32.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 758 to 895 computations (86.8% saved)

prune11.0ms (0.2%)

Memory

-24.7MiB live, 19.8MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	126	9	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	9	136

Accuracy

90.3%

Counts

136 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(.f64 w0 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))))))
▶	62.5%	(.f64 w0 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))))
▶	87.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) h) l))))
	80.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.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)))))
	80.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 2 binary64))) (/.f64 h l)))))
▶	25.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M)))))
	22.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l))))))
▶	65.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
▶	65.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 608 to 398 computations (34.5% saved)

series219.0ms (3.4%)

Memory

26.8MiB live, 360.1MiB allocated; 53ms collecting garbage

Counts

49 → 336

Calls

Call 1

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

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

18 calls:

Time	Variable		Point	Expression
28.0ms	d	@	0	((* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l))) (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)) 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l) (* (pow (* (/ M 2) (/ D d)) 2) h) (pow (* (/ M 2) (/ D d)) 2) (* (/ 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))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (pow (* D M) 2) h) (* (* d d) l))) 1) -1/8 (/ (* (pow (* D M) 2) h) (* (* d d) l)) (* (pow (* D M) 2) h) (pow (* D M) 2) (* D M) (* (* 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))) (* (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (pow M -2) -2 (/ (* 1/4 (* (* D D) h)) (* (* d d) l)) (* 1/4 (* (* D D) h)) 1/4 (* (* D D) h) (* D D) (* M M) (* w0 (sqrt (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))))) (sqrt (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))))) (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (/ h l) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))))
19.0ms	l	@	inf	((* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l))) (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)) 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l) (* (pow (* (/ M 2) (/ D d)) 2) h) (pow (* (/ M 2) (/ D d)) 2) (* (/ 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))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (pow (* D M) 2) h) (* (* d d) l))) 1) -1/8 (/ (* (pow (* D M) 2) h) (* (* d d) l)) (* (pow (* D M) 2) h) (pow (* D M) 2) (* D M) (* (* 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))) (* (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (pow M -2) -2 (/ (* 1/4 (* (* D D) h)) (* (* d d) l)) (* 1/4 (* (* D D) h)) 1/4 (* (* D D) h) (* D D) (* M M) (* w0 (sqrt (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))))) (sqrt (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))))) (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (/ h l) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))))
15.0ms	h	@	inf	((* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l))) (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)) 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l) (* (pow (* (/ M 2) (/ D d)) 2) h) (pow (* (/ M 2) (/ D d)) 2) (* (/ 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))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (pow (* D M) 2) h) (* (* d d) l))) 1) -1/8 (/ (* (pow (* D M) 2) h) (* (* d d) l)) (* (pow (* D M) 2) h) (pow (* D M) 2) (* D M) (* (* 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))) (* (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (pow M -2) -2 (/ (* 1/4 (* (* D D) h)) (* (* d d) l)) (* 1/4 (* (* D D) h)) 1/4 (* (* D D) h) (* D D) (* M M) (* w0 (sqrt (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))))) (sqrt (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))))) (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (/ h l) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))))
13.0ms	w0	@	0	((* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l))) (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)) 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l) (* (pow (* (/ M 2) (/ D d)) 2) h) (pow (* (/ M 2) (/ D d)) 2) (* (/ 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))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (pow (* D M) 2) h) (* (* d d) l))) 1) -1/8 (/ (* (pow (* D M) 2) h) (* (* d d) l)) (* (pow (* D M) 2) h) (pow (* D M) 2) (* D M) (* (* 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))) (* (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (pow M -2) -2 (/ (* 1/4 (* (* D D) h)) (* (* d d) l)) (* 1/4 (* (* D D) h)) 1/4 (* (* D D) h) (* D D) (* M M) (* w0 (sqrt (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))))) (sqrt (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))))) (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (/ h l) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))))
13.0ms	M	@	inf	((* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l))) (- 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l)) 1 (/ (* (pow (* (/ M 2) (/ D d)) 2) h) l) (* (pow (* (/ M 2) (/ D d)) 2) h) (pow (* (/ M 2) (/ D d)) 2) (* (/ 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))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (pow (* D M) 2) h) (* (* d d) l))) 1) -1/8 (/ (* (pow (* D M) 2) h) (* (* d d) l)) (* (pow (* D M) 2) h) (pow (* D M) 2) (* D M) (* (* 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))) (* (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (pow M -2) -2 (/ (* 1/4 (* (* D D) h)) (* (* d d) l)) (* 1/4 (* (* D D) h)) 1/4 (* (* D D) h) (* D D) (* M M) (* w0 (sqrt (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))))) (sqrt (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))))) (/ (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (- 1 (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)))) (* (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))) (* (/ h l) (pow (* (/ M 2) (/ D d)) 2)) (/ h l) (+ 1 (* (/ h l) (pow (* (/ M 2) (/ D d)) 2))))

rewrite250.0ms (3.8%)

Memory

-16.9MiB live, 312.6MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1139	23644
0	1200	19920
1	5411	19614
0	8303	19140

Stop Event

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

Counts

385 → 563

Calls

Call 1

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

eval66.0ms (1%)

Memory: 9.5MiB live, 148.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 26 211 to 2 922 computations (88.9% saved)

prune22.0ms (0.3%)

Memory

7.3MiB live, 59.0MiB allocated; 5ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	549	14	563
Fresh	3	1	4
Picked	4	1	5
Done	0	0	0
Total	556	16	572

Accuracy

90.4%

Counts

572 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(.f64 w0 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))))
	62.5%	(.f64 w0 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))))))))
	62.1%	(.f64 w0 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))))
▶	87.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) h) l))))
	87.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) h) l))))
▶	73.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M M) (pow.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) h) l))))
	86.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 2 binary64))) h) l))))
▶	80.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.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)))))
	54.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64)))))
	22.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(approx (- (pow M -2) (/ ( 1/4 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 l (.f64 M M)) (/.f64 (.f64 (.f64 (.f64 D D) h) #s(literal 1/4 binary64)) (.f64 d d))) l)) (.f64 M M)))))
▶	17.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(approx (- (pow M -2) (/ ( 1/4 (* (* D D) h)) (* (* d d) l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M)))))
	69.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
	53.3%	(.f64 w0 #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) (.f64 D D)) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
▶	65.9%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	52.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))))
✓	65.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 1 110 to 776 computations (30.1% saved)

series166.0ms (2.5%)

Memory

17.3MiB live, 292.5MiB allocated; 51ms collecting garbage

Counts

57 → 415

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	h	@	0	((* w0 (sqrt (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l))) (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l)) 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l) (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) (/ 1 (pow (* (/ D d) (/ M 2)) -1)) (pow (* (/ D d) (/ M 2)) -1) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 -1 h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (* (* D M) (* D M)) h) (* (* d d) l))) 1) -1/8 (/ (* (* (* D M) (* D M)) h) (* (* d d) l)) (* (* (* D M) (* D M)) h) (* (* D M) (* D M)) (* D M) (* (* 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))) (* (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (/ (* -1/4 (* (* D D) h)) (* (* d d) l)) (* -1/4 (* (* D D) h)) -1/4 (* (* D D) h) (* D D) (* M M) (* w0 (sqrt (- 1 (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (/ h l))))) (sqrt (- 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 l)) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ h l) (* w0 (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)))) (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l))) (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l) (* (* (* M M) (pow (/ D (* d 2)) 2)) h) (* (* M M) (pow (/ D (* d 2)) 2)) (pow (/ D (* d 2)) 2) (/ D (* d 2)) (* d 2))
23.0ms	D	@	0	((* w0 (sqrt (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l))) (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l)) 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l) (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) (/ 1 (pow (* (/ D d) (/ M 2)) -1)) (pow (* (/ D d) (/ M 2)) -1) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 -1 h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (* (* D M) (* D M)) h) (* (* d d) l))) 1) -1/8 (/ (* (* (* D M) (* D M)) h) (* (* d d) l)) (* (* (* D M) (* D M)) h) (* (* D M) (* D M)) (* D M) (* (* 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))) (* (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (/ (* -1/4 (* (* D D) h)) (* (* d d) l)) (* -1/4 (* (* D D) h)) -1/4 (* (* D D) h) (* D D) (* M M) (* w0 (sqrt (- 1 (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (/ h l))))) (sqrt (- 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 l)) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ h l) (* w0 (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)))) (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l))) (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l) (* (* (* M M) (pow (/ D (* d 2)) 2)) h) (* (* M M) (pow (/ D (* d 2)) 2)) (pow (/ D (* d 2)) 2) (/ D (* d 2)) (* d 2))
14.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l))) (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l)) 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l) (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) (/ 1 (pow (* (/ D d) (/ M 2)) -1)) (pow (* (/ D d) (/ M 2)) -1) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 -1 h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (* (* D M) (* D M)) h) (* (* d d) l))) 1) -1/8 (/ (* (* (* D M) (* D M)) h) (* (* d d) l)) (* (* (* D M) (* D M)) h) (* (* D M) (* D M)) (* D M) (* (* 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))) (* (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (/ (* -1/4 (* (* D D) h)) (* (* d d) l)) (* -1/4 (* (* D D) h)) -1/4 (* (* D D) h) (* D D) (* M M) (* w0 (sqrt (- 1 (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (/ h l))))) (sqrt (- 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 l)) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ h l) (* w0 (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)))) (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l))) (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l) (* (* (* M M) (pow (/ D (* d 2)) 2)) h) (* (* M M) (pow (/ D (* d 2)) 2)) (pow (/ D (* d 2)) 2) (/ D (* d 2)) (* d 2))
13.0ms	D	@	inf	((* w0 (sqrt (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l))) (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l)) 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l) (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) (/ 1 (pow (* (/ D d) (/ M 2)) -1)) (pow (* (/ D d) (/ M 2)) -1) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 -1 h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (* (* D M) (* D M)) h) (* (* d d) l))) 1) -1/8 (/ (* (* (* D M) (* D M)) h) (* (* d d) l)) (* (* (* D M) (* D M)) h) (* (* D M) (* D M)) (* D M) (* (* 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))) (* (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (/ (* -1/4 (* (* D D) h)) (* (* d d) l)) (* -1/4 (* (* D D) h)) -1/4 (* (* D D) h) (* D D) (* M M) (* w0 (sqrt (- 1 (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (/ h l))))) (sqrt (- 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 l)) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ h l) (* w0 (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)))) (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l))) (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l) (* (* (* M M) (pow (/ D (* d 2)) 2)) h) (* (* M M) (pow (/ D (* d 2)) 2)) (pow (/ D (* d 2)) 2) (/ D (* d 2)) (* d 2))
8.0ms	d	@	-inf	((* w0 (sqrt (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l)))) w0 (sqrt (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l))) (- 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l)) 1 (/ (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) l) (* (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) h) (pow (/ 1 (pow (* (/ D d) (/ M 2)) -1)) 2) (/ 1 (pow (* (/ D d) (/ M 2)) -1)) (pow (* (/ D d) (/ M 2)) -1) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 -1 h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (* (* D M) (* D M)) h) (* (* d d) l))) 1) -1/8 (/ (* (* (* D M) (* D M)) h) (* (* d d) l)) (* (* (* D M) (* D M)) h) (* (* D M) (* D M)) (* D M) (* (* 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))) (* (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (/ (* -1/4 (* (* D D) h)) (* (* d d) l)) (* -1/4 (* (* D D) h)) -1/4 (* (* D D) h) (* D D) (* M M) (* w0 (sqrt (- 1 (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (/ h l))))) (sqrt (- 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 l)) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ h l) (* w0 (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)))) (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l))) (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l) (* (* (* M M) (pow (/ D (* d 2)) 2)) h) (* (* M M) (pow (/ D (* d 2)) 2)) (pow (/ D (* d 2)) 2) (/ D (* d 2)) (* d 2))

rewrite252.0ms (3.9%)

Memory

14.4MiB live, 296.5MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1203	27646
0	1283	25373
1	5332	24995
0	8049	24397

Stop Event

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

Counts

472 → 747

Calls

Call 1

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

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

eval60.0ms (0.9%)

Memory: -0.2MiB live, 90.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 19 516 to 2 614 computations (86.6% saved)

prune30.0ms (0.5%)

Memory

8.6MiB live, 54.9MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	455	11	466
Fresh	5	5	10
Picked	4	1	5
Done	0	1	1
Total	464	18	482

Accuracy

92.1%

Counts

482 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.5%	(.f64 w0 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))))))))
	62.1%	(.f64 w0 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))))
	86.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (* (/ D d) (/ M 2)) -1) (.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64)))) #s(literal 2 binary64)) h) l))))
	85.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (.f64 (/.f64 D d) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))))) h) l))))
▶	87.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) h) l))))
	56.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M M) #s(approx (pow (/ D (* d 2)) 2) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (*.f64 d d)))) h) l))))
	71.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M M) (.f64 (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) h)) l))))
▶	86.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 2 binary64))) h) l))))
▶	83.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (/.f64 h l))))))
	80.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))) (/.f64 h l)))))
▶	54.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (.f64 D D) #s(literal 1 binary64)))))
	21.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(approx (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (/.f64 (.f64 (.f64 D D) h) l))) M) M))))
✓	17.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(approx (- (pow M -2) (/ ( 1/4 (* (* D D) h)) (* (* d d) l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M)))))
	65.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M D) D) M) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	69.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
▶	67.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	52.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))))
✓	65.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 1 160 to 826 computations (28.8% saved)

series366.0ms (5.6%)

Memory

3.4MiB live, 372.3MiB allocated; 84ms collecting garbage

Counts

51 → 496

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
76.0ms	d	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l))) (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l)) 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (* M D) (* (* M D) h)) (* (* d d) l))) 1) -1/8 (/ (* (* M D) (* (* M D) h)) (* (* d d) l)) (* (* M D) (* (* M D) h)) (* M D) (* (* M D) h) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)))) (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l))) (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* -1/4 (* (* M M) h)) -1/4 (* (* M M) h) (* M M) (* D D) (* w0 (sqrt (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l)))))) (sqrt (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l))))) (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l)))) (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l))) (* (* (/ D d) (/ M 2)) (/ h l)) (/ h l) (* w0 (sqrt (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l)))) (sqrt (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l))) (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l)) (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l) (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) (exp (* (log (* (/ D d) (/ M 2))) 2)) (* (log (* (/ D d) (/ M 2))) 2) (log (* (/ D d) (/ M 2))))
55.0ms	M	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l))) (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l)) 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (* M D) (* (* M D) h)) (* (* d d) l))) 1) -1/8 (/ (* (* M D) (* (* M D) h)) (* (* d d) l)) (* (* M D) (* (* M D) h)) (* M D) (* (* M D) h) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)))) (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l))) (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* -1/4 (* (* M M) h)) -1/4 (* (* M M) h) (* M M) (* D D) (* w0 (sqrt (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l)))))) (sqrt (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l))))) (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l)))) (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l))) (* (* (/ D d) (/ M 2)) (/ h l)) (/ h l) (* w0 (sqrt (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l)))) (sqrt (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l))) (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l)) (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l) (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) (exp (* (log (* (/ D d) (/ M 2))) 2)) (* (log (* (/ D d) (/ M 2))) 2) (log (* (/ D d) (/ M 2))))
32.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l))) (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l)) 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (* M D) (* (* M D) h)) (* (* d d) l))) 1) -1/8 (/ (* (* M D) (* (* M D) h)) (* (* d d) l)) (* (* M D) (* (* M D) h)) (* M D) (* (* M D) h) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)))) (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l))) (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* -1/4 (* (* M M) h)) -1/4 (* (* M M) h) (* M M) (* D D) (* w0 (sqrt (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l)))))) (sqrt (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l))))) (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l)))) (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l))) (* (* (/ D d) (/ M 2)) (/ h l)) (/ h l) (* w0 (sqrt (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l)))) (sqrt (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l))) (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l)) (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l) (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) (exp (* (log (* (/ D d) (/ M 2))) 2)) (* (log (* (/ D d) (/ M 2))) 2) (log (* (/ D d) (/ M 2))))
27.0ms	M	@	0	((* w0 (sqrt (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l))) (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l)) 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (* M D) (* (* M D) h)) (* (* d d) l))) 1) -1/8 (/ (* (* M D) (* (* M D) h)) (* (* d d) l)) (* (* M D) (* (* M D) h)) (* M D) (* (* M D) h) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)))) (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l))) (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* -1/4 (* (* M M) h)) -1/4 (* (* M M) h) (* M M) (* D D) (* w0 (sqrt (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l)))))) (sqrt (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l))))) (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l)))) (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l))) (* (* (/ D d) (/ M 2)) (/ h l)) (/ h l) (* w0 (sqrt (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l)))) (sqrt (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l))) (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l)) (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l) (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) (exp (* (log (* (/ D d) (/ M 2))) 2)) (* (log (* (/ D d) (/ M 2))) 2) (log (* (/ D d) (/ M 2))))
21.0ms	D	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l))) (- 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l)) 1 (/ (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) h) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D d (/ M 2) M 2 h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* -1/8 (/ (* (* M D) (* (* M D) h)) (* (* d d) l))) 1) -1/8 (/ (* (* M D) (* (* M D) h)) (* (* d d) l)) (* (* M D) (* (* M D) h)) (* M D) (* (* M D) h) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)))) (sqrt (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l))) (- 1 (/ (* (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* -1/4 (* (* M M) h)) -1/4 (* (* M M) h) (* M M) (* D D) (* w0 (sqrt (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l)))))) (sqrt (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l))))) (- 1 (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l)))) (* (* (/ D d) (/ M 2)) (* (* (/ D d) (/ M 2)) (/ h l))) (* (* (/ D d) (/ M 2)) (/ h l)) (/ h l) (* w0 (sqrt (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l)))) (sqrt (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l))) (- 1 (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l)) (/ (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) l) (* (exp (* (log (* (/ D d) (/ M 2))) 2)) h) (exp (* (log (* (/ D d) (/ M 2))) 2)) (* (log (* (/ D d) (/ M 2))) 2) (log (* (/ D d) (/ M 2))))

rewrite263.0ms (4%)

Memory

10.4MiB live, 332.7MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1307	33556
0	1381	30727
1	5545	30237
0	8098	29539

Stop Event

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

Counts

547 → 744

Calls

Call 1

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

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

eval66.0ms (1%)

Memory: -20.2MiB live, 125.6MiB allocated; 16ms collecting garbage
Compiler: Compiled 19 104 to 2 683 computations (86% saved)

prune43.0ms (0.7%)

Memory

3.0MiB live, 97.3MiB allocated; 3ms collecting garbage

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	494	9	503
Fresh	4	7	11
Picked	4	1	5
Done	0	2	2
Total	502	19	521

Accuracy

92.5%

Counts

521 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.5%	(.f64 w0 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))))))))
	62.1%	(.f64 w0 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))))))
	86.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (* (/ D d) (/ M 2)) -1) (.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64)))) #s(literal 2 binary64)) h) l))))
	83.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D d) (.f64 (/.f64 M #s(literal 2 binary64)) (.f64 (/.f64 h l) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))))))))
	91.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) h) l)))))
	83.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (.f64 (/.f64 D d) #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M))) (/.f64 h l))))))
	83.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 h l))))))
	87.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(approx ( (* (/ D d) (/ M 2)) (/ h l)) (.f64 (.f64 (/.f64 D d) (/.f64 (*.f64 h M) l)) #s(literal 1/2 binary64)))))))
	57.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/4 binary64)) (.f64 d d)) l) (*.f64 D D) #s(literal 1 binary64)))))
	59.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 d (.f64 l d))) (.f64 D D) #s(literal 1 binary64)))))
	72.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (* (* M M) (pow (/ D (* d 2)) 2)) h) l)) (fma.f64 (.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (/.f64 (.f64 (*.f64 M M) h) l)) D) D #s(literal 1 binary64)))))
	21.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(approx (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (/.f64 (.f64 (.f64 D D) h) l))) M) M))))
✓	17.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 #s(approx (- (pow M -2) (/ ( 1/4 (* (* D D) h)) (* (* d d) l))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (.f64 M M)))))
	65.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M D) D) M) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	69.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
✓	67.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	70.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M D) (.f64 d d)) (/.f64 (.f64 (*.f64 h M) D) l)) #s(literal 1 binary64))))
	52.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))))
✓	65.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 2 199 to 854 computations (61.2% saved)

regimes330.0ms (5.1%)

Memory

2.4MiB live, 332.6MiB allocated; 140ms collecting garbage

Counts

44 → 1

Calls

Call 1

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

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

Calls

15 calls:

63.0ms	l
59.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
33.0ms	(.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)))))
31.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
26.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
91.7%	1	`(/.f64 h l)`
91.7%	1	`(*.f64 #s(literal 2 binary64) d)`
91.7%	1	`(*.f64 M D)`
91.7%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
91.7%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
91.7%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
91.7%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
91.7%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
91.7%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
91.7%	1	`w0`
91.7%	1	`M`
91.7%	1	`D`
91.7%	1	`h`
91.7%	1	`l`
91.7%	1	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes122.0ms (1.9%)

Memory

15.0MiB live, 160.7MiB allocated; 45ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

33.0ms	(*.f64 M D)
10.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
10.0ms	l
6.0ms	w0
6.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
87.0%	1	`(/.f64 h l)`
89.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.0%	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)))`
89.0%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
89.0%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
87.0%	1	`w0`
87.0%	1	`(*.f64 #s(literal 2 binary64) d)`
87.0%	1	`(*.f64 M D)`
87.0%	1	`M`
87.0%	1	`D`
87.0%	1	`h`
87.0%	1	`l`
87.0%	1	`d`
89.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes116.0ms (1.8%)

Memory

19.7MiB live, 109.6MiB allocated; 13ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

12 calls:

56.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
10.0ms	M
5.0ms	w0
5.0ms	h
5.0ms	D

Results

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

Compiler

Compiled 88 to 120 computations (-36.4% saved)

regimes91.0ms (1.4%)

Memory

-30.7MiB live, 158.2MiB allocated; 30ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

15.0ms	D
7.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
7.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
6.0ms	(/.f64 h l)
5.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
85.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
83.7%	3	`(*.f64 #s(literal 2 binary64) d)`
80.4%	1	`l`
83.7%	3	`d`
85.3%	2	`(/.f64 h l)`
83.2%	2	`(*.f64 M D)`
85.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
86.9%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
86.9%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
86.9%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
80.4%	1	`w0`
82.6%	2	`M`
82.8%	2	`D`
80.4%	1	`h`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes99.0ms (1.5%)

Memory

26.4MiB live, 138.3MiB allocated; 34ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

32.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
7.0ms	D
5.0ms	l
5.0ms	w0
5.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
74.1%	2	`h`
72.1%	1	`w0`
73.8%	2	`l`
78.5%	2	`(*.f64 #s(literal 2 binary64) d)`
78.5%	2	`d`
77.5%	2	`M`
77.4%	3	`D`
77.8%	2	`(*.f64 M D)`
79.2%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.7%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
77.0%	2	`(/.f64 h l)`
81.1%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.0%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.7%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
81.0%	2	`(.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)

regimes39.0ms (0.6%)

Memory

-39.7MiB live, 7.7MiB allocated; 1ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

38.0ms

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

Results

Accuracy	Segments	Branch
80.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes1.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes18.0ms (0.3%)

Memory

-3.1MiB live, 42.5MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

15 calls:

4.0ms	w0
1.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms	D
1.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
65.1%	1	`w0`
65.1%	1	`l`
65.1%	1	`h`
65.1%	1	`D`
65.1%	1	`(/.f64 h l)`
65.1%	1	`M`
65.1%	1	`(*.f64 M D)`
65.1%	1	`(*.f64 #s(literal 2 binary64) d)`
65.1%	1	`d`
65.1%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
65.1%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
65.1%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
65.1%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
65.1%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
65.1%	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)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.8859343416448525e-12	-4.338228853076644e-50

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.8859343416448525e-12	-4.338228853076644e-50

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.2244899204889835e+133	-1.2082536022978801e+126

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.550953836685745e+147	-2.2244899204889835e+133

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.550953836685745e+147	-2.2244899204889835e+133

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify50.0ms (0.8%)

Memory

22.9MiB live, 71.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	444
1	185	444
2	502	444
3	2995	444

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) h) l)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4951760157141521/2475880078570760549798248448 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (.f64 (/.f64 D d) #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M))) (/.f64 h l)))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(approx ( (* (/ D d) (/ M 2)) (/ h l)) (.f64 (.f64 (/.f64 D d) (/.f64 (*.f64 h M) l)) #s(literal 1/2 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 -4951760157141521/2475880078570760549798248448 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))) (/.f64 h l))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000447023447189537198670196818601947519120957672857800529720484687191952407023686201190020305141675249907405837089898496 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(approx (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (/.f64 (.f64 (.f64 D D) h) l))) M) M)))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))) #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))))) w0)

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) h) l)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4951760157141521/2475880078570760549798248448 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (.f64 (.f64 (/.f64 D d) #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M))) (/.f64 h l)))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(approx ( (* (/ D d) (/ M 2)) (/ h l)) (.f64 (.f64 (/.f64 D d) (/.f64 (*.f64 h M) l)) #s(literal 1/2 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 -4951760157141521/2475880078570760549798248448 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 #s(approx (/ M 2) (.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))) (/.f64 h l))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000447023447189537198670196818601947519120957672857800529720484687191952407023686201190020305141675249907405837089898496 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(approx (- (pow M -2) (/ (* 1/4 (* (* D D) h)) (* (* d d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (/.f64 (.f64 (.f64 D D) h) l))) M) M)))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) h) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))) #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))))) w0)

derivations269.0ms (4.1%)

Memory

18.5MiB live, 255.2MiB allocated; 20ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 444 to 115 computations (74.1% saved)

preprocess92.0ms (1.4%)

Memory

-16.3MiB live, 170.8MiB allocated; 30ms collecting garbage

Remove

(negabs w0)

(abs d)

(abs D)

(abs M)

Compiler

Compiled 1 212 to 468 computations (61.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze796.0ms (12.2%)

sample1.9s (29.5%)

explain268.0ms (4.1%)

preprocess214.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

series99.0ms (1.5%)

rewrite161.0ms (2.5%)

eval16.0ms (0.2%)

prune11.0ms (0.2%)

series219.0ms (3.4%)

rewrite250.0ms (3.8%)

eval66.0ms (1%)

prune22.0ms (0.3%)

series166.0ms (2.5%)

rewrite252.0ms (3.9%)

eval60.0ms (0.9%)

prune30.0ms (0.5%)

series366.0ms (5.6%)

rewrite263.0ms (4%)

eval66.0ms (1%)

prune43.0ms (0.7%)

regimes330.0ms (5.1%)

regimes122.0ms (1.9%)

regimes116.0ms (1.8%)

regimes91.0ms (1.4%)

regimes99.0ms (1.5%)

regimes39.0ms (0.6%)

regimes1.0ms (0%)

regimes18.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (0.8%)

derivations269.0ms (4.1%)

preprocess92.0ms (1.4%)

end0.0ms (0%)

Profiling