Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

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

analyze520.0ms (9.2%)

Memory

46.1MiB live, 903.2MiB allocated; 104ms 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)

sample1.6s (28.7%)

Memory

63.9MiB live, 3 123.7MiB allocated; 371ms collecting garbage

Samples

756.0ms	8 256×	0	valid
310.0ms	2 796×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 626.0ms

ival-mult!: 253.0ms (40.4% of total)

ival-pow2: 140.0ms (22.4% of total)

ival-div!: 120.0ms (19.2% of total)

ival-sqrt: 82.0ms (13.1% of total)

ival-sub!: 28.0ms (4.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain190.0ms (3.4%)

Memory

-19.8MiB live, 318.5MiB allocated; 32ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
33	-	1	(2.4678281647717793e+291 4.2523010331336163e-66 6.357748212681436e+50 2.6696632785787266e-8 -2.119178640785955e-263 1.4570002496876738e+143)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
27	-	2	(-3.8750493616311615e+186 6.40816241982056e-214 1.0251197587182263e-99 -2.015439707584427e+159 1.5677214880265551e-24 -1.8463576208100612e-281)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
21	-	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))))`
9	-	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	21	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	50
↳	`(-.f64 #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	56
↳	`(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	35
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(*.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	56
↳	`(/.f64 h l)`	overflow	23
`*.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**	9	0
`/.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))`	*no**	6	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	50
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(*.f64 M D)`	overflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	29
↳	`(/.f64 h l)`	underflow	23
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	37

Confusion

	Predicted +	Predicted -
+	36	11
-	8	201

Precision

0.8181818181818182

Recall

0.7659574468085106

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	11
-	8	0	201

Precision?

0.8181818181818182

Recall?

0.7659574468085106

Freqs

test

number	freq
0	212
1	39
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div!: 21.0ms (50.4% of total)

ival-mult!: 10.0ms (24% of total)

ival-pow2: 6.0ms (14.4% of total)

ival-sqrt: 4.0ms (9.6% of total)

ival-sub!: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

preprocess38.0ms (0.7%)

Memory

-13.0MiB live, 33.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	168	514
1	461	510
2	1474	510
3	4405	510

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Symmetry

(abs M)

(abs D)

(abs d)

(negabs w0)

(sort M D)

Compiler

Compiled 36 to 34 computations (5.6% saved)

series110.0ms (2%)

Memory

35.0MiB live, 134.7MiB allocated; 38ms 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
33.0ms	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)
9.0ms	h	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
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)
5.0ms	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)

rewrite146.0ms (2.6%)

Memory

-13.3MiB live, 171.7MiB allocated; 17ms 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
(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
#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)))))))))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (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)))))))))
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#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)))))))
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#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))))))))
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#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)))))))))
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#s(approx (/ h l) #s(hole binary64 (/ h l)))
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#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))))))))))
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#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 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)))))
w0
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (/.f64 h l) (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))))
(.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l))
(/.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) h) l)
(.f64 (pow.f64 (.f64 M (/.f64 D (+.f64 d d))) #s(literal 1 binary64)) (pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 1 binary64)))
(.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))
(pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(*.f64 M (/.f64 D (+.f64 d d)))
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 (+.f64 d d)))
(/.f64 (*.f64 D M) (+.f64 d d))
(*.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 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) #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 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h h) w0) (.f64 M M)) (.f64 (.f64 D D) (.f64 D D))) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d)))) #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 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (.f64 D D)) (/.f64 (.f64 (.f64 h h) w0) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d))))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 h h) h) w0) (.f64 M M)) (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D))) (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)))) #s(literal -1/1024 binary64))) (.f64 M M))) (*.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 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (.f64 D D)) (/.f64 (.f64 (.f64 h h) (.f64 M M)) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d))))) #s(literal -1/128 binary64) (.f64 (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))) (.f64 M M) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/8 binary64) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h h) h) (.f64 M M)) (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D))) (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)))) #s(literal -1/1024 binary64) (.f64 (.f64 (.f64 (.f64 D D) (.f64 D D)) (/.f64 (.f64 h h) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d))))) #s(literal -1/128 binary64))) (.f64 M M))) (.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 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))
#s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64)))
#s(approx (/ (* M D) (* 2 d)) (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (.f64 D (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) (sqrt.f64 (/.f64 h l)))) 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 d w0) (.f64 (.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal 1/2 binary64))) M))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 M M) (.f64 M M))) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 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 d w0) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal 1/2 binary64)))) M))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 M M) (.f64 M M))) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (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)) (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 M M) M))) (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 d w0) (.f64 (.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64))))) #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 d (.f64 (.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 M M) (.f64 M M))) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) #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 d (.f64 (.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 M M) (.f64 M M))) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 M M) M))) (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 d (.f64 (.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))))) M))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M M) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 M M)) (.f64 (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1/4 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (/.f64 (.f64 D (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) (sqrt.f64 (/.f64 h l)))) 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 d w0) (.f64 (.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal 1/2 binary64))) M)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 M M) (.f64 M M))) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 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 d w0) (.f64 (.f64 D (.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64))))) #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 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 M M) (.f64 M M))) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (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)) (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 M M) M))) (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 d w0) (.f64 (.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64))))) #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 d (.f64 (.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 M M) (.f64 M M))) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) #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 d (.f64 (.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 M M) (.f64 M M))) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 M M) M))) (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 d (.f64 (.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (.f64 (.f64 M M) (.f64 M M)) (.f64 (.f64 h h) w0)) (.f64 D D)) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d)))) #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 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 M M) M)) (.f64 (.f64 h h) h)) w0) (.f64 D D)) (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)))) #s(literal -1/1024 binary64) (.f64 (.f64 (.f64 (.f64 M M) (.f64 M M)) (/.f64 (.f64 (.f64 h h) w0) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d))))) #s(literal -1/128 binary64))) (.f64 D D))) (*.f64 D D) w0))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) (.f64 M M)) (/.f64 (.f64 h h) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d)))))) #s(literal -1/128 binary64) (.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))) (.f64 D D) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/8 binary64) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 M M) M)) (.f64 (.f64 h h) h)) (.f64 D D)) (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)))) #s(literal -1/1024 binary64) (.f64 (.f64 (.f64 (.f64 M M) (.f64 M M)) (/.f64 (.f64 h h) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d))))) #s(literal -1/128 binary64))) (.f64 D D))) (.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 w0) (.f64 (.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (.f64 D D) (.f64 D D)) (.f64 (.f64 M M) M)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (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 w0) (.f64 (.f64 (.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (.f64 D D) (.f64 D D)) (.f64 (.f64 M M) M)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (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)) (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D))))) (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 w0) (.f64 (.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 d (.f64 (.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (.f64 D D) (.f64 D D)) (.f64 (.f64 M M) M)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) #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 d (.f64 (.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (.f64 D D) (.f64 D D)) (.f64 (.f64 M M) M)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (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)) (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D))))) (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 d (.f64 (.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))))) D))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D D) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 D D)) (.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal 1/4 binary64)))))
#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 w0) (.f64 (.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (.f64 D D) (.f64 D D)) (.f64 (.f64 M M) M)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) (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 w0) (.f64 (.f64 (.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (.f64 (.f64 d d) d) w0) (.f64 (.f64 (.f64 (.f64 D D) (.f64 D D)) (.f64 (.f64 M M) M)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (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)) (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D))))) (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 w0) (.f64 (.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 d (.f64 (.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (.f64 D D) (.f64 D D)) (.f64 (.f64 M M) M)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) #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 d (.f64 (.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (.f64 D D) (.f64 D D)) (.f64 (.f64 M M) M)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (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)) (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D))))) (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 d (.f64 (.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (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 h (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 4 binary64)) (.f64 h w0)) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d)))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 h (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 M M) M)) h) w0) (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D))) (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)))) #s(literal -1/1024 binary64) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 4 binary64)) w0) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d)))) #s(literal -1/128 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) w0) (.f64 D D)) (.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 h (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 4 binary64)) h) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d)))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1024 binary64) (.f64 (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D)) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 M M) M)) h) (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d))))) (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 (.f64 D M) #s(literal 4 binary64))) (.f64 (.f64 l l) (.f64 (.f64 d d) (.f64 d d))))) h (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.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)
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d d)) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 4 binary64)) (.f64 h h)) (.f64 (.f64 d d) (.f64 d d))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 M M) M)) (.f64 (.f64 h h) h)) (.f64 (.f64 (.f64 D D) D) (.f64 (.f64 D D) D))) (.f64 (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)) l)) #s(literal -1/1024 binary64))) l))) l)) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 d d) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 D (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) (sqrt.f64 (/.f64 h l))))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) (.f64 (fma.f64 (.f64 (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 d d) w0) (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (.f64 D D) D))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) #s(literal -1/8 binary64))) (.f64 d 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 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (.f64 D D) D)))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h))) (.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 (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))) (.f64 d d) (.f64 D (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) (sqrt.f64 (/.f64 h l))))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (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 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (.f64 d d) (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (.f64 D D) D))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) #s(literal -1/8 binary64))) (.f64 d d))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (fma.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 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M M) M) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (.f64 D D) D))) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) (.f64 (.f64 h h) h)))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64))) (.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 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (.f64 d d)))
#s(approx (* 2 d) (+.f64 d d))
#s(approx d d)

eval17.0ms (0.3%)

Memory: -17.6MiB live, 28.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 568 to 899 computations (88.1% saved)

prune5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	111	7	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	7	119

Accuracy

90.4%

Counts

119 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.3%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) (/.f64 h l)))) w0)
▶	88.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) h) l))))
▶	55.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) (/.f64 h l)))))
	59.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d d)) #s(literal 1/4 binary64))) l))))
▶	12.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))))
▶	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
▶	69.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 426 to 316 computations (25.8% saved)

series121.0ms (2.2%)

Memory

29.3MiB live, 217.2MiB allocated; 21ms collecting garbage

Counts

45 → 216

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	D	@	0	((* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)) 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/4) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) 1/4 (/ h l))
9.0ms	w0	@	0	((* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)) 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/4) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) 1/4 (/ h l))
9.0ms	d	@	0	((* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)) 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/4) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) 1/4 (/ h l))
9.0ms	h	@	inf	((* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)) 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/4) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) 1/4 (/ h l))
7.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)))) w0 (sqrt (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l))) (- 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l)) 1 (/ (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) l) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) h) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/4) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) w0) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* M M) (* D D)) (* d d)) 1/4) (/ (* (* M M) (* D D)) (* d d)) (* (* M M) (* D D)) 1/4 (/ h l))

rewrite168.0ms (3%)

Memory

-16.9MiB live, 222.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	940	14176
0	993	12968
0	4837	12685

Stop Event

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

Counts

261 → 365

Calls

Call 1

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

eval88.0ms (1.6%)

Memory: -25.8MiB live, 73.2MiB allocated; 18ms collecting garbage
Compiler: Compiled 16 242 to 2 117 computations (87% saved)

prune13.0ms (0.2%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	308	11	319
Fresh	2	0	2
Picked	4	1	5
Done	0	0	0
Total	314	12	326

Accuracy

90.7%

Counts

326 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.1%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))))) w0)
▶	89.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) M) (.f64 (*.f64 (/.f64 D (+.f64 d d)) M) h)) l))))
	75.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) d) d) #s(literal 1/4 binary64))) (/.f64 h l)))))
▶	67.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 d d)) #s(literal 1/4 binary64))) (/.f64 h l)))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)) l) #s(literal -1/4 binary64)))))
	13.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))))
▶	14.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d (*.f64 d l))) #s(literal -1/4 binary64)))))
	13.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))))
	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64))) l)) #s(literal -1/8 binary64) w0))
▶	57.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M (.f64 M h)) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
▶	11.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
✓	69.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 812 to 596 computations (26.6% saved)

series167.0ms (3%)

Memory

3.6MiB live, 235.1MiB allocated; 21ms collecting garbage

Counts

56 → 237

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
33.0ms	D	@	0	((* w0 (sqrt (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l)))) w0 (sqrt (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l))) (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l)) 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l) (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M (* (* (/ D (+ d d)) M) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (* (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l))) -1/8) (* (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l))) (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l)) (* (* h w0) (* M M)) (* h w0) (* M M) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* d (* d l))) -1/4) (/ (* (* (* M M) h) (* D D)) (* d (* d l))) (* (* (* M M) h) (* D D)) (* (* M M) h) (* d (* d l)) (* d l) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* M (* M h)) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* M (* M h)) w0) (* D D)) (* (* d d) l)) (* (* (* M (* M h)) w0) (* D D)) (* (* M (* M h)) w0) (* M (* M h)) (* M h) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* D M) (* D M)) (* d d)) 1/4) (/ (* (* D M) (* D M)) (* d d)) (* (* D M) (* D M)) (* D M) 1/4 (/ h l))
16.0ms	w0	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l)))) w0 (sqrt (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l))) (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l)) 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l) (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M (* (* (/ D (+ d d)) M) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (* (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l))) -1/8) (* (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l))) (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l)) (* (* h w0) (* M M)) (* h w0) (* M M) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* d (* d l))) -1/4) (/ (* (* (* M M) h) (* D D)) (* d (* d l))) (* (* (* M M) h) (* D D)) (* (* M M) h) (* d (* d l)) (* d l) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* M (* M h)) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* M (* M h)) w0) (* D D)) (* (* d d) l)) (* (* (* M (* M h)) w0) (* D D)) (* (* M (* M h)) w0) (* M (* M h)) (* M h) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* D M) (* D M)) (* d d)) 1/4) (/ (* (* D M) (* D M)) (* d d)) (* (* D M) (* D M)) (* D M) 1/4 (/ h l))
12.0ms	h	@	inf	((* w0 (sqrt (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l)))) w0 (sqrt (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l))) (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l)) 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l) (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M (* (* (/ D (+ d d)) M) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (* (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l))) -1/8) (* (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l))) (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l)) (* (* h w0) (* M M)) (* h w0) (* M M) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* d (* d l))) -1/4) (/ (* (* (* M M) h) (* D D)) (* d (* d l))) (* (* (* M M) h) (* D D)) (* (* M M) h) (* d (* d l)) (* d l) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* M (* M h)) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* M (* M h)) w0) (* D D)) (* (* d d) l)) (* (* (* M (* M h)) w0) (* D D)) (* (* M (* M h)) w0) (* M (* M h)) (* M h) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* D M) (* D M)) (* d d)) 1/4) (/ (* (* D M) (* D M)) (* d d)) (* (* D M) (* D M)) (* D M) 1/4 (/ h l))
9.0ms	d	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l)))) w0 (sqrt (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l))) (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l)) 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l) (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M (* (* (/ D (+ d d)) M) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (* (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l))) -1/8) (* (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l))) (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l)) (* (* h w0) (* M M)) (* h w0) (* M M) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* d (* d l))) -1/4) (/ (* (* (* M M) h) (* D D)) (* d (* d l))) (* (* (* M M) h) (* D D)) (* (* M M) h) (* d (* d l)) (* d l) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* M (* M h)) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* M (* M h)) w0) (* D D)) (* (* d d) l)) (* (* (* M (* M h)) w0) (* D D)) (* (* M (* M h)) w0) (* M (* M h)) (* M h) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* D M) (* D M)) (* d d)) 1/4) (/ (* (* D M) (* D M)) (* d d)) (* (* D M) (* D M)) (* D M) 1/4 (/ h l))
8.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l)))) w0 (sqrt (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l))) (- 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l)) 1 (/ (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) l) (* (* (/ D (+ d d)) M) (* (* (/ D (+ d d)) M) h)) (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) d M (* (* (/ D (+ d d)) M) h) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (* (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l))) -1/8) (* (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l))) (* D D) (/ (* (* h w0) (* M M)) (* (* d d) l)) (* (* h w0) (* M M)) (* h w0) (* M M) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* d (* d l))) -1/4) (/ (* (* (* M M) h) (* D D)) (* d (* d l))) (* (* (* M M) h) (* D D)) (* (* M M) h) (* d (* d l)) (* d l) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* M (* M h)) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* M (* M h)) w0) (* D D)) (* (* d d) l)) (* (* (* M (* M h)) w0) (* D D)) (* (* M (* M h)) w0) (* M (* M h)) (* M h) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (/ (* (* D M) (* D M)) (* d d)) 1/4) (/ (* (* D M) (* D M)) (* d d)) (* (* D M) (* D M)) (* D M) 1/4 (/ h l))

rewrite202.0ms (3.6%)

Memory

-16.2MiB live, 225.0MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	989	14960
0	1063	13691
0	4995	13401

Stop Event

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

Counts

293 → 438

Calls

Call 1

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

eval50.0ms (0.9%)

Memory: 0.9MiB live, 91.2MiB allocated; 15ms collecting garbage
Compiler: Compiled 18 220 to 2 283 computations (87.5% saved)

prune20.0ms (0.4%)

Memory

4.0MiB live, 50.2MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	332	15	347
Fresh	4	2	6
Picked	3	2	5
Done	0	1	1
Total	339	20	359

Accuracy

91.1%

Counts

359 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.1%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))))) w0)
▶	88.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 D (+.f64 d d)) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 h M)))) l))))
✓	89.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) M) (.f64 (*.f64 (/.f64 D (+.f64 d d)) M) h)) l))))
▶	82.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) d)) #s(literal 1/4 binary64))) (/.f64 h l)))))
	70.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (*.f64 d d))) #s(literal 1/4 binary64))) (/.f64 h l)))))
	15.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) d) (.f64 l d)) #s(literal -1/4 binary64)))))
	15.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) (.f64 d (*.f64 d l))) #s(literal -1/4 binary64)))))
	17.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M D) D) M) h) (.f64 d (*.f64 d l))) #s(literal -1/4 binary64)))))
	14.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 h M) M) (.f64 d d))) l) #s(literal -1/4 binary64)))))
▶	17.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 h M) M) d) (/.f64 (.f64 D D) (.f64 l d))) #s(literal -1/4 binary64)))))
	13.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 h M) M) (/.f64 (.f64 D D) (.f64 (*.f64 d d) l))) #s(literal -1/4 binary64)))))
	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64))) l)) #s(literal -1/8 binary64) w0))
✓	57.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M (.f64 M h)) w0) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
▶	13.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) (.f64 w0 (.f64 D D))) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l))))
	13.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 (.f64 h M) M) w0) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
	13.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (.f64 l d) d))) #s(literal -1/8 binary64))))
	11.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (exp.f64 (.f64 (log.f64 d) #s(literal 2 binary64))) l))) #s(literal -1/8 binary64))))
	13.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (.f64 h M) w0)) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
▶	12.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 D (.f64 D (.f64 (.f64 h w0) (/.f64 (.f64 M M) (.f64 (.f64 d d) l))))) #s(literal -1/8 binary64))))
✓	69.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 1 545 to 1 096 computations (29.1% saved)

series233.0ms (4.2%)

Memory

-22.5MiB live, 330.7MiB allocated; 107ms collecting garbage

Counts

57 → 227

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
61.0ms	M	@	inf	((* w0 (sqrt (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l)))) w0 (sqrt (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l))) (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l)) 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l) (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) (/ D (+ d d)) D (+ d d) d (* M (* (/ D (+ d d)) (* h M))) M (* (/ D (+ d d)) (* h M)) (* h M) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (* D (* D (* (* h w0) (/ (* M M) (* (* d d) l))))) -1/8) (* D (* D (* (* h w0) (/ (* M M) (* (* d d) l))))) (* D (* (* h w0) (/ (* M M) (* (* d d) l)))) (* (* h w0) (/ (* M M) (* (* d d) l))) (* h w0) (/ (* M M) (* (* d d) l)) (* M M) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* h M) M) (* w0 (* D D))) -1/8) (* (* d d) l)) (* (* (* (* h M) M) (* w0 (* D D))) -1/8) (* (* (* h M) M) (* w0 (* D D))) (* (* h M) M) (* w0 (* D D)) (* 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))) (* (* (/ (* (* h M) M) d) (/ (* D D) (* l d))) -1/4) (* (/ (* (* h M) M) d) (/ (* D D) (* l d))) (/ (* (* h M) M) d) (/ (* D D) (* l d)) (* l d) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (* (/ (* M D) d) (/ (* M D) d)) 1/4) (* (/ (* M D) d) (/ (* M D) d)) (/ (* M D) d) (* M D) 1/4 (/ h l))
20.0ms	w0	@	-inf	((* w0 (sqrt (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l)))) w0 (sqrt (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l))) (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l)) 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l) (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) (/ D (+ d d)) D (+ d d) d (* M (* (/ D (+ d d)) (* h M))) M (* (/ D (+ d d)) (* h M)) (* h M) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (* D (* D (* (* h w0) (/ (* M M) (* (* d d) l))))) -1/8) (* D (* D (* (* h w0) (/ (* M M) (* (* d d) l))))) (* D (* (* h w0) (/ (* M M) (* (* d d) l)))) (* (* h w0) (/ (* M M) (* (* d d) l))) (* h w0) (/ (* M M) (* (* d d) l)) (* M M) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* h M) M) (* w0 (* D D))) -1/8) (* (* d d) l)) (* (* (* (* h M) M) (* w0 (* D D))) -1/8) (* (* (* h M) M) (* w0 (* D D))) (* (* h M) M) (* w0 (* D D)) (* 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))) (* (* (/ (* (* h M) M) d) (/ (* D D) (* l d))) -1/4) (* (/ (* (* h M) M) d) (/ (* D D) (* l d))) (/ (* (* h M) M) d) (/ (* D D) (* l d)) (* l d) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (* (/ (* M D) d) (/ (* M D) d)) 1/4) (* (/ (* M D) d) (/ (* M D) d)) (/ (* M D) d) (* M D) 1/4 (/ h l))
13.0ms	D	@	0	((* w0 (sqrt (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l)))) w0 (sqrt (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l))) (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l)) 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l) (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) (/ D (+ d d)) D (+ d d) d (* M (* (/ D (+ d d)) (* h M))) M (* (/ D (+ d d)) (* h M)) (* h M) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (* D (* D (* (* h w0) (/ (* M M) (* (* d d) l))))) -1/8) (* D (* D (* (* h w0) (/ (* M M) (* (* d d) l))))) (* D (* (* h w0) (/ (* M M) (* (* d d) l)))) (* (* h w0) (/ (* M M) (* (* d d) l))) (* h w0) (/ (* M M) (* (* d d) l)) (* M M) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* h M) M) (* w0 (* D D))) -1/8) (* (* d d) l)) (* (* (* (* h M) M) (* w0 (* D D))) -1/8) (* (* (* h M) M) (* w0 (* D D))) (* (* h M) M) (* w0 (* D D)) (* 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))) (* (* (/ (* (* h M) M) d) (/ (* D D) (* l d))) -1/4) (* (/ (* (* h M) M) d) (/ (* D D) (* l d))) (/ (* (* h M) M) d) (/ (* D D) (* l d)) (* l d) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (* (/ (* M D) d) (/ (* M D) d)) 1/4) (* (/ (* M D) d) (/ (* M D) d)) (/ (* M D) d) (* M D) 1/4 (/ h l))
10.0ms	d	@	0	((* w0 (sqrt (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l)))) w0 (sqrt (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l))) (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l)) 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l) (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) (/ D (+ d d)) D (+ d d) d (* M (* (/ D (+ d d)) (* h M))) M (* (/ D (+ d d)) (* h M)) (* h M) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (* D (* D (* (* h w0) (/ (* M M) (* (* d d) l))))) -1/8) (* D (* D (* (* h w0) (/ (* M M) (* (* d d) l))))) (* D (* (* h w0) (/ (* M M) (* (* d d) l)))) (* (* h w0) (/ (* M M) (* (* d d) l))) (* h w0) (/ (* M M) (* (* d d) l)) (* M M) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* h M) M) (* w0 (* D D))) -1/8) (* (* d d) l)) (* (* (* (* h M) M) (* w0 (* D D))) -1/8) (* (* (* h M) M) (* w0 (* D D))) (* (* h M) M) (* w0 (* D D)) (* 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))) (* (* (/ (* (* h M) M) d) (/ (* D D) (* l d))) -1/4) (* (/ (* (* h M) M) d) (/ (* D D) (* l d))) (/ (* (* h M) M) d) (/ (* D D) (* l d)) (* l d) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (* (/ (* M D) d) (/ (* M D) d)) 1/4) (* (/ (* M D) d) (/ (* M D) d)) (/ (* M D) d) (* M D) 1/4 (/ h l))
9.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l)))) w0 (sqrt (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l))) (- 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l)) 1 (/ (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) l) (* (/ D (+ d d)) (* M (* (/ D (+ d d)) (* h M)))) (/ D (+ d d)) D (+ d d) d (* M (* (/ D (+ d d)) (* h M))) M (* (/ D (+ d d)) (* h M)) (* h M) h l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (* D (* D (* (* h w0) (/ (* M M) (* (* d d) l))))) -1/8) (* D (* D (* (* h w0) (/ (* M M) (* (* d d) l))))) (* D (* (* h w0) (/ (* M M) (* (* d d) l)))) (* (* h w0) (/ (* M M) (* (* d d) l))) (* h w0) (/ (* M M) (* (* d d) l)) (* M M) (* (* d d) l) (* d d) -1/8 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* h M) M) (* w0 (* D D))) -1/8) (* (* d d) l)) (* (* (* (* h M) M) (* w0 (* D D))) -1/8) (* (* (* h M) M) (* w0 (* D D))) (* (* h M) M) (* w0 (* D D)) (* 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))) (* (* (/ (* (* h M) M) d) (/ (* D D) (* l d))) -1/4) (* (/ (* (* h M) M) d) (/ (* D D) (* l d))) (/ (* (* h M) M) d) (/ (* D D) (* l d)) (* l d) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (* (* (/ (* M D) d) (/ (* M D) d)) 1/4) (* (/ (* M D) d) (/ (* M D) d)) (/ (* M D) d) (* M D) 1/4 (/ h l))

rewrite188.0ms (3.3%)

Memory

34.8MiB live, 262.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	991	14620
0	1058	13967
0	4989	13662

Stop Event

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

Counts

284 → 417

Calls

Call 1

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

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

eval76.0ms (1.3%)

Memory: 19.5MiB live, 145.3MiB allocated; 59ms collecting garbage
Compiler: Compiled 26 005 to 2 455 computations (90.6% saved)

prune96.0ms (1.7%)

Memory

-16.0MiB live, 136.3MiB allocated; 68ms collecting garbage

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	412	12	424
Fresh	4	8	12
Picked	5	0	5
Done	1	2	3
Total	422	22	444

Accuracy

91.1%

Counts

444 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.1%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M D) (+.f64 d d)) (*.f64 h M)) (/.f64 D (+.f64 d d))) l))) w0)
✓	89.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) M) (.f64 (*.f64 (/.f64 D (+.f64 d d)) M) h)) l))))
	82.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (.f64 (/.f64 (.f64 M D) d) (.f64 D (/.f64 M d))) #s(literal 1/4 binary64))) (/.f64 h l)))))
	83.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (.f64 (.f64 M (/.f64 D d)) (.f64 M (/.f64 D d))) #s(literal 1/4 binary64))) (/.f64 h l)))))
	70.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (*.f64 d d))) #s(literal 1/4 binary64))) (/.f64 h l)))))
	15.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) (.f64 d (*.f64 d l))) #s(literal -1/4 binary64)))))
	17.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M D) D) M) h) (.f64 d (*.f64 d l))) #s(literal -1/4 binary64)))))
	18.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 h M) M) (.f64 D (/.f64 D (.f64 l d)))) d) #s(literal -1/4 binary64)))))
	19.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 h M) M) d) (.f64 (.f64 D (/.f64 D (.f64 l d))) #s(literal -1/4 binary64))))))
	14.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 h M) M) (.f64 d d))) l) #s(literal -1/4 binary64)))))
	19.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 h M) M) d) (*.f64 (/.f64 D l) (/.f64 D d))) #s(literal -1/4 binary64)))))
	18.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 h M) (/.f64 M d)) (/.f64 (.f64 D D) (.f64 l d))) #s(literal -1/4 binary64)))))
	13.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 h M) M) (/.f64 (.f64 D D) (.f64 (*.f64 d d) l))) #s(literal -1/4 binary64)))))
	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) (.f64 D D)) (.f64 (exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64))) l)) #s(literal -1/8 binary64) w0))
	13.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) (.f64 w0 (.f64 D D))) #s(literal -1/8 binary64)) (.f64 (exp.f64 (.f64 (log.f64 d) #s(literal 2 binary64))) l))))
	14.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) (.f64 w0 (.f64 D D))) #s(literal -1/8 binary64)) (.f64 d (.f64 l d)))))
	13.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/.f64 (.f64 (.f64 (.f64 h M) (.f64 M (.f64 (.f64 D D) w0))) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l))))
	14.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 (.f64 D (.f64 h w0)) (.f64 M (/.f64 M (.f64 (.f64 d d) l)))) D) #s(literal -1/8 binary64))))
	11.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 h w0) (.f64 M M)) (.f64 (exp.f64 (.f64 (log.f64 d) #s(literal 2 binary64))) l))) #s(literal -1/8 binary64))))
	13.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M (.f64 (.f64 h M) w0)) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64))))
	13.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (.f64 (.f64 D (.f64 D (.f64 (.f64 h w0) (/.f64 (/.f64 (.f64 M M) (*.f64 d d)) l)))) #s(literal -1/8 binary64))))
✓	69.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 2 744 to 1 009 computations (63.2% saved)

regimes251.0ms (4.5%)

Memory

-0.3MiB live, 275.9MiB allocated; 57ms collecting garbage

Counts

46 → 1

Calls

Call 1

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

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

Calls

15 calls:

56.0ms	(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))))
28.0ms	(*.f64 M D)
22.0ms	d
16.0ms	h
15.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
89.1%	1	`(/.f64 h l)`
89.1%	1	`(*.f64 #s(literal 2 binary64) d)`
89.1%	1	`(*.f64 M D)`
89.1%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
89.1%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.1%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.1%	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)))`
89.1%	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))))`
89.1%	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)))))`
89.1%	1	`w0`
89.1%	1	`M`
89.1%	1	`D`
89.1%	1	`h`
89.1%	1	`l`
89.1%	1	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes157.0ms (2.8%)

Memory

-1.7MiB live, 287.2MiB allocated; 21ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

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

Calls

15 calls:

14.0ms	w0
12.0ms	(*.f64 #s(literal 2 binary64) d)
12.0ms	h
11.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
11.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
88.4%	1	`(*.f64 #s(literal 2 binary64) d)`
88.4%	1	`d`
88.4%	1	`(/.f64 h l)`
88.4%	1	`(*.f64 M D)`
88.4%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.4%	1	`M`
88.4%	1	`D`
88.4%	1	`h`
88.4%	1	`l`
88.4%	1	`w0`
88.4%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.4%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.4%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.4%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.4%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes192.0ms (3.4%)

Memory

33.0MiB live, 269.3MiB allocated; 67ms collecting garbage

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

53.0ms	M
14.0ms	(*.f64 #s(literal 2 binary64) d)
12.0ms	l
11.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
10.0ms	d

Results

Accuracy	Segments	Branch
89.6%	3	`(/.f64 h l)`
86.1%	1	`(*.f64 #s(literal 2 binary64) d)`
86.1%	1	`(*.f64 M D)`
86.1%	1	`w0`
86.1%	1	`M`
88.0%	2	`D`
86.1%	1	`h`
86.1%	1	`l`
86.1%	1	`d`
88.3%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.3%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.0%	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)))))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes73.0ms (1.3%)

Memory

-6.9MiB live, 136.7MiB allocated; 6ms collecting garbage

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

11.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
10.0ms	(/.f64 h l)
10.0ms	D
8.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
8.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
87.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
87.3%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
84.9%	2	`D`
85.8%	2	`(/.f64 h l)`
86.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
87.3%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`

Compiler

Compiled 82 to 95 computations (-15.9% saved)

regimes113.0ms (2%)

Memory

19.3MiB live, 210.0MiB allocated; 6ms collecting garbage

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

14 calls:

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

Results

Accuracy	Segments	Branch
79.4%	3	`(/.f64 h l)`
81.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
85.0%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
85.0%	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))))`
82.5%	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)))))`
83.3%	3	`(*.f64 M D)`
81.1%	3	`M`
75.3%	3	`(*.f64 #s(literal 2 binary64) d)`
74.0%	2	`w0`
75.3%	3	`d`
74.0%	2	`h`
70.7%	1	`l`
85.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 92 to 134 computations (-45.7% saved)

regimes13.0ms (0.2%)

Memory

-22.4MiB live, 24.2MiB allocated; 2ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.3%	2	`D`
83.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes15.0ms (0.3%)

Memory

-17.0MiB live, 29.8MiB allocated; 1ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
82.3%	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)))`
82.3%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
82.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 44 to 44 computations (0% saved)

regimes27.0ms (0.5%)

Memory

7.1MiB live, 54.1MiB allocated; 1ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

4.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
4.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
4.0ms	(*.f64 M D)
4.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
3.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.6%	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)))`
80.6%	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))))`
80.6%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
79.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
77.8%	2	`(*.f64 M D)`
80.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 81 to 89 computations (-9.9% saved)

regimes3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
79.9%	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)

regimes3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
79.9%	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)

regimes16.0ms (0.3%)

Memory

-9.1MiB live, 42.0MiB allocated; 2ms 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:

2.0ms	h
1.0ms	D
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	(*.f64 #s(literal 2 binary64) d)
1.0ms	M

Results

Accuracy	Segments	Branch
69.3%	1	`l`
69.3%	1	`(*.f64 #s(literal 2 binary64) d)`
69.3%	1	`d`
69.3%	1	`h`
69.3%	1	`w0`
69.3%	1	`D`
69.3%	1	`(*.f64 M D)`
69.3%	1	`(/.f64 h l)`
69.3%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
69.3%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
69.3%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
69.3%	1	`M`
69.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
69.3%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
69.3%	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

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.5210095897250165e+153	+inf

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.4e-323

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.108493487829481e+60	-1.471026698804525e+39

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.3197730391638717e+72	-2.108493487829481e+60

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.471026698804525e+39	-7177.363933046178

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-2.0439527710385564e+307

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	-inf	-2.0439527710385564e+307

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.0475340439349553e+246	-1.0627183332664383e+234

Compiler

Compiled 21 to 26 computations (-23.8% saved)

derivations268.0ms (4.8%)

Memory

32.9MiB live, 262.9MiB allocated; 33ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 715 to 160 computations (77.6% saved)

preprocess420.0ms (7.5%)

Memory

8.4MiB live, 669.7MiB allocated; 75ms collecting garbage

Remove

(sort M D)

(negabs w0)

(abs d)

(abs D)

(abs M)

Compiler

Compiled 11 268 to 5 874 computations (47.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze520.0ms (9.2%)

sample1.6s (28.7%)

explain190.0ms (3.4%)

preprocess38.0ms (0.7%)

series110.0ms (2%)

rewrite146.0ms (2.6%)

eval17.0ms (0.3%)

prune5.0ms (0.1%)

series121.0ms (2.2%)

rewrite168.0ms (3%)

eval88.0ms (1.6%)

prune13.0ms (0.2%)

series167.0ms (3%)

rewrite202.0ms (3.6%)

eval50.0ms (0.9%)

prune20.0ms (0.4%)

series233.0ms (4.2%)

rewrite188.0ms (3.3%)

eval76.0ms (1.3%)

prune96.0ms (1.7%)

regimes251.0ms (4.5%)

regimes157.0ms (2.8%)

regimes192.0ms (3.4%)

regimes73.0ms (1.3%)

regimes113.0ms (2%)

regimes13.0ms (0.2%)

regimes15.0ms (0.3%)

regimes27.0ms (0.5%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes16.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations268.0ms (4.8%)

preprocess420.0ms (7.5%)

end0.0ms (0%)

Profiling